[ { "tex": "<\/nowiki><\/code> and ", "type": "tex", "mml": "\n \n \n \n <<\/mo>\n \n \/<\/mo>\n <\/mrow>\n n<\/mi>\n o<\/mi>\n w<\/mi>\n i<\/mi>\n k<\/mi>\n i<\/mi>\n ><<\/mo>\n \n \/<\/mo>\n <\/mrow>\n c<\/mi>\n o<\/mi>\n d<\/mi>\n e<\/mi>\n ><\/mo>\n a<\/mi>\n n<\/mi>\n d<\/mi>\n <<\/mo>\n c<\/mi>\n o<\/mi>\n d<\/mi>\n e<\/mi>\n ><<\/mo>\n n<\/mi>\n o<\/mi>\n w<\/mi>\n i<\/mi>\n k<\/mi>\n i<\/mi>\n ><\/mo>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle <\/nowiki><\/code>and<code><nowiki>}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sqrt{\\pi}", "type": "tex", "mml": "\n \n \n \n \n \n π<\/mi>\n <\/msqrt>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\sqrt {\\pi }}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\pi", "type": "tex", "mml": "\n \n \n \n π<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\pi }<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\text{abc}", "type": "tex", "mml": "\n \n \n \n \n abc<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\text{abc}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\alpha\\,\\!", "type": "tex", "mml": "\n \n \n \n α<\/mi>\n \n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\alpha \\,\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": " f(x) = x^2\\,\\!", "type": "tex", "mml": "\n \n \n \n f<\/mi>\n (<\/mo>\n x<\/mi>\n )<\/mo>\n =<\/mo>\n \n x<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n \n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle f(x)=x^{2}\\,\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sqrt{2}", "type": "tex", "mml": "\n \n \n \n \n \n 2<\/mn>\n <\/msqrt>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\sqrt {2}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sqrt{1-e^2}\\!", "type": "tex", "mml": "\n \n \n \n \n \n 1<\/mn>\n <\/mo>\n \n e<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/msqrt>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\sqrt {1-e^{2}}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sqrt{1-z^3}\\!", "type": "tex", "mml": "\n \n \n \n \n \n 1<\/mn>\n <\/mo>\n \n z<\/mi>\n \n 3<\/mn>\n <\/mrow>\n <\/msup>\n <\/msqrt>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\sqrt {1-z^{3}}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "x", "type": "tex", "mml": "\n \n \n \n x<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle x}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\dot{a}, \\ddot{a}, \\acute{a}, \\grave{a} \\!", "type": "tex", "mml": "\n \n \n \n \n \n \n a<\/mi>\n ˙<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n ,<\/mo>\n \n \n \n a<\/mi>\n ¨<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n ,<\/mo>\n \n \n \n a<\/mi>\n ´<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n ,<\/mo>\n \n \n \n a<\/mi>\n `<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\dot {a}},{\\ddot {a}},{\\acute {a}},{\\grave {a}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\check{a}, \\breve{a}, \\tilde{a}, \\bar{a} \\!", "type": "tex", "mml": "\n \n \n \n \n \n \n a<\/mi>\n ˇ<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n ,<\/mo>\n \n \n \n a<\/mi>\n ˘<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n ,<\/mo>\n \n \n \n a<\/mi>\n ~<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n ,<\/mo>\n \n \n \n a<\/mi>\n ¯<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\check {a}},{\\breve {a}},{\\tilde {a}},{\\bar {a}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\hat{a}, \\widehat{a}, \\vec{a} \\!", "type": "tex", "mml": "\n \n \n \n \n \n \n a<\/mi>\n ^<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n ,<\/mo>\n \n \n \n a<\/mi>\n ^<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n ,<\/mo>\n \n \n \n a<\/mi>\n <\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\hat {a}},{\\widehat {a}},{\\vec {a}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\exp_a b = a^b, \\exp b = e^b, 10^m \\!", "type": "tex", "mml": "\n \n \n \n \n exp<\/mi>\n \n a<\/mi>\n <\/mrow>\n <\/msub>\n <\/mo>\n b<\/mi>\n =<\/mo>\n \n a<\/mi>\n \n b<\/mi>\n <\/mrow>\n <\/msup>\n ,<\/mo>\n exp<\/mi>\n <\/mo>\n b<\/mi>\n =<\/mo>\n \n e<\/mi>\n \n b<\/mi>\n <\/mrow>\n <\/msup>\n ,<\/mo>\n \n 10<\/mn>\n \n m<\/mi>\n <\/mrow>\n <\/msup>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\exp _{a}b=a^{b},\\exp b=e^{b},10^{m}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\ln c, \\lg d = \\log e, \\log_{10} f \\!", "type": "tex", "mml": "\n \n \n \n ln<\/mi>\n <\/mo>\n c<\/mi>\n ,<\/mo>\n lg<\/mi>\n <\/mo>\n d<\/mi>\n =<\/mo>\n log<\/mi>\n <\/mo>\n e<\/mi>\n ,<\/mo>\n \n log<\/mi>\n \n 10<\/mn>\n <\/mrow>\n <\/msub>\n <\/mo>\n f<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\ln c,\\lg d=\\log e,\\log _{10}f\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sin a, \\cos b, \\tan c, \\cot d, \\sec e, \\csc f\\!", "type": "tex", "mml": "\n \n \n \n sin<\/mi>\n <\/mo>\n a<\/mi>\n ,<\/mo>\n cos<\/mi>\n <\/mo>\n b<\/mi>\n ,<\/mo>\n tan<\/mi>\n <\/mo>\n c<\/mi>\n ,<\/mo>\n cot<\/mi>\n <\/mo>\n d<\/mi>\n ,<\/mo>\n sec<\/mi>\n <\/mo>\n e<\/mi>\n ,<\/mo>\n csc<\/mi>\n <\/mo>\n f<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\sin a,\\cos b,\\tan c,\\cot d,\\sec e,\\csc f\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\arcsin h, \\arccos i, \\arctan j \\!", "type": "tex", "mml": "\n \n \n \n arcsin<\/mi>\n <\/mo>\n h<\/mi>\n ,<\/mo>\n arccos<\/mi>\n <\/mo>\n i<\/mi>\n ,<\/mo>\n arctan<\/mi>\n <\/mo>\n j<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\arcsin h,\\arccos i,\\arctan j\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sinh k, \\cosh l, \\tanh m, \\coth n \\!", "type": "tex", "mml": "\n \n \n \n sinh<\/mi>\n <\/mo>\n k<\/mi>\n ,<\/mo>\n cosh<\/mi>\n <\/mo>\n l<\/mi>\n ,<\/mo>\n tanh<\/mi>\n <\/mo>\n m<\/mi>\n ,<\/mo>\n coth<\/mi>\n <\/mo>\n n<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\sinh k,\\cosh l,\\tanh m,\\coth n\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\operatorname{sh}\\,k, \\operatorname{ch}\\,l, \\operatorname{th}\\,m, \\operatorname{coth}\\,n \\!", "type": "tex", "mml": "\n \n \n \n sh<\/mi>\n \n k<\/mi>\n ,<\/mo>\n ch<\/mi>\n \n l<\/mi>\n ,<\/mo>\n th<\/mi>\n \n m<\/mi>\n ,<\/mo>\n coth<\/mi>\n \n n<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\operatorname {sh} \\,k,\\operatorname {ch} \\,l,\\operatorname {th} \\,m,\\operatorname {coth} \\,n\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\operatorname{argsh}\\,o, \\operatorname{argch}\\,p, \\operatorname{argth}\\,q \\!", "type": "tex", "mml": "\n \n \n \n argsh<\/mi>\n \n o<\/mi>\n ,<\/mo>\n argch<\/mi>\n \n p<\/mi>\n ,<\/mo>\n argth<\/mi>\n \n q<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\operatorname {argsh} \\,o,\\operatorname {argch} \\,p,\\operatorname {argth} \\,q\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sgn r, \\left\\vert s \\right\\vert \\!", "type": "tex", "mml": "\n \n \n \n sgn<\/mi>\n <\/mo>\n r<\/mi>\n ,<\/mo>\n \n |<\/mo>\n s<\/mi>\n |<\/mo>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\operatorname {sgn} r,\\left\\vert s\\right\\vert \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\min(x,y), \\max(x,y) \\!", "type": "tex", "mml": "\n \n \n \n min<\/mo>\n (<\/mo>\n x<\/mi>\n ,<\/mo>\n y<\/mi>\n )<\/mo>\n ,<\/mo>\n max<\/mo>\n (<\/mo>\n x<\/mi>\n ,<\/mo>\n y<\/mi>\n )<\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\min(x,y),\\max(x,y)\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\min x, \\max y, \\inf s, \\sup t \\!", "type": "tex", "mml": "\n \n \n \n min<\/mo>\n x<\/mi>\n ,<\/mo>\n max<\/mo>\n y<\/mi>\n ,<\/mo>\n inf<\/mo>\n s<\/mi>\n ,<\/mo>\n sup<\/mo>\n t<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\min x,\\max y,\\inf s,\\sup t\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\lim u, \\liminf v, \\limsup w \\!", "type": "tex", "mml": "\n \n \n \n lim<\/mo>\n u<\/mi>\n ,<\/mo>\n lim inf<\/mo>\n v<\/mi>\n ,<\/mo>\n lim sup<\/mo>\n w<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\lim u,\\liminf v,\\limsup w\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\dim p, \\deg q, \\det m, \\ker\\phi \\!", "type": "tex", "mml": "\n \n \n \n dim<\/mi>\n <\/mo>\n p<\/mi>\n ,<\/mo>\n deg<\/mi>\n <\/mo>\n q<\/mi>\n ,<\/mo>\n det<\/mo>\n m<\/mi>\n ,<\/mo>\n ker<\/mi>\n <\/mo>\n ϕ<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\dim p,\\deg q,\\det m,\\ker \\phi \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\Pr j, \\hom l, \\lVert z \\rVert, \\arg z \\!", "type": "tex", "mml": "\n \n \n \n Pr<\/mo>\n j<\/mi>\n ,<\/mo>\n hom<\/mi>\n <\/mo>\n l<\/mi>\n ,<\/mo>\n <\/mo>\n z<\/mi>\n <\/mo>\n ,<\/mo>\n arg<\/mi>\n <\/mo>\n z<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\Pr j,\\hom l,\\lVert z\\rVert ,\\arg z\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "dt, \\operatorname{d}\\!t, \\partial t, \\nabla\\psi\\!", "type": "tex", "mml": "\n \n \n \n d<\/mi>\n t<\/mi>\n ,<\/mo>\n d<\/mi>\n \n t<\/mi>\n ,<\/mo>\n <\/mi>\n t<\/mi>\n ,<\/mo>\n <\/mi>\n ψ<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle dt,\\operatorname {d} \\!t,\\partial t,\\nabla \\psi \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "dy\/dx, \\operatorname{d}\\!y\/\\operatorname{d}\\!x, {dy \\over dx}, {\\operatorname{d}\\!y\\over\\operatorname{d}\\!x}, {\\partial^2\\over\\partial x_1\\partial x_2}y \\!", "type": "tex", "mml": "\n \n \n \n d<\/mi>\n y<\/mi>\n \n \/<\/mo>\n <\/mrow>\n d<\/mi>\n x<\/mi>\n ,<\/mo>\n d<\/mi>\n \n y<\/mi>\n \n \/<\/mo>\n <\/mrow>\n d<\/mi>\n \n x<\/mi>\n ,<\/mo>\n \n \n \n d<\/mi>\n y<\/mi>\n <\/mrow>\n \n d<\/mi>\n x<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n ,<\/mo>\n \n \n \n d<\/mi>\n \n y<\/mi>\n <\/mrow>\n \n d<\/mi>\n \n x<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n ,<\/mo>\n \n \n \n <\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n \n <\/mi>\n \n x<\/mi>\n \n 1<\/mn>\n <\/mrow>\n <\/msub>\n <\/mi>\n \n x<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n y<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle dy\/dx,\\operatorname {d} \\!y\/\\operatorname {d} \\!x,{dy \\over dx},{\\operatorname {d} \\!y \\over \\operatorname {d} \\!x},{\\partial ^{2} \\over \\partial x_{1}\\partial x_{2}}y\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\prime, \\backprime, f^\\prime, f', f'', f^{(3)} \\!, \\dot y, \\ddot y", "type": "tex", "mml": "\n \n \n \n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n \n f<\/mi>\n \n <\/mi>\n <\/mrow>\n <\/msup>\n ,<\/mo>\n \n f<\/mi>\n ′<\/mo>\n <\/msup>\n ,<\/mo>\n \n f<\/mi>\n ″<\/mo>\n <\/msup>\n ,<\/mo>\n \n f<\/mi>\n \n (<\/mo>\n 3<\/mn>\n )<\/mo>\n <\/mrow>\n <\/msup>\n \n ,<\/mo>\n \n \n \n y<\/mi>\n ˙<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n ,<\/mo>\n \n \n \n y<\/mi>\n ¨<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\prime ,\\backprime ,f^{\\prime },f',f'',f^{(3)}\\!,{\\dot {y}},{\\ddot {y}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\infty, \\aleph, \\complement, \\backepsilon, \\eth, \\Finv, \\hbar \\!", "type": "tex", "mml": "\n \n \n \n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n ð<\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\infty ,\\aleph ,\\complement ,\\backepsilon ,\\eth ,\\Finv ,\\hbar \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\Im, \\imath, \\jmath, \\Bbbk, \\ell, \\mho, \\wp, \\Re, \\circledS \\!", "type": "tex", "mml": "\n \n \n \n <\/mi>\n ,<\/mo>\n ı<\/mi>\n ,<\/mo>\n ȷ<\/mi>\n ,<\/mo>\n k<\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\Im ,\\imath ,\\jmath ,\\Bbbk ,\\ell ,\\mho ,\\wp ,\\Re ,\\circledS \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "s_k \\equiv 0 \\pmod{m} \\!", "type": "tex", "mml": "\n \n \n \n \n s<\/mi>\n \n k<\/mi>\n <\/mrow>\n <\/msub>\n <\/mo>\n 0<\/mn>\n \n \n (<\/mo>\n mod<\/mi>\n \n m<\/mi>\n )<\/mo>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle s_{k}\\equiv 0{\\pmod {m}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "a\\,\\bmod\\,b \\!", "type": "tex", "mml": "\n \n \n \n a<\/mi>\n \n \n mod<\/mo>\n \n \n <\/mrow>\n <\/mrow>\n b<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle a\\,{\\bmod {\\,}}b\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\gcd(m, n), \\operatorname{lcm}(m, n)", "type": "tex", "mml": "\n \n \n \n gcd<\/mo>\n (<\/mo>\n m<\/mi>\n ,<\/mo>\n n<\/mi>\n )<\/mo>\n ,<\/mo>\n lcm<\/mi>\n <\/mo>\n (<\/mo>\n m<\/mi>\n ,<\/mo>\n n<\/mi>\n )<\/mo>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\gcd(m,n),\\operatorname {lcm} (m,n)}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mid, \\nmid, \\shortmid, \\nshortmid \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mid ,\\nmid ,\\shortmid ,\\nshortmid \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\surd, \\sqrt{2}, \\sqrt[n]{}, \\sqrt[3]{x^3+y^3 \\over 2} \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n \n \n 2<\/mn>\n <\/msqrt>\n <\/mrow>\n ,<\/mo>\n \n \n \n \n n<\/mi>\n <\/mrow>\n <\/mroot>\n <\/mrow>\n ,<\/mo>\n \n \n \n \n \n x<\/mi>\n \n 3<\/mn>\n <\/mrow>\n <\/msup>\n +<\/mo>\n \n y<\/mi>\n \n 3<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n 2<\/mn>\n <\/mfrac>\n \n 3<\/mn>\n <\/mrow>\n <\/mroot>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\surd ,{\\sqrt {2}},{\\sqrt[{n}]{}},{\\sqrt[{3}]{x^{3}+y^{3} \\over 2}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "+, -, \\pm, \\mp, \\dotplus \\!", "type": "tex", "mml": "\n \n \n \n +<\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n ±<\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle +,-,\\pm ,\\mp ,\\dotplus \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\times, \\div, \\divideontimes, \/, \\backslash \\!", "type": "tex", "mml": "\n \n \n \n ×<\/mo>\n ,<\/mo>\n ÷<\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n \n \/<\/mo>\n <\/mrow>\n ,<\/mo>\n <\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\times ,\\div ,\\divideontimes ,\/,\\backslash \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\cdot, * \\ast, \\star, \\circ, \\bullet \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\cdot ,*\\ast ,\\star ,\\circ ,\\bullet \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\boxplus, \\boxminus, \\boxtimes, \\boxdot \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\boxplus ,\\boxminus ,\\boxtimes ,\\boxdot \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\oplus, \\ominus, \\otimes, \\oslash, \\odot\\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\oplus ,\\ominus ,\\otimes ,\\oslash ,\\odot \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\circleddash, \\circledcirc, \\circledast \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\circleddash ,\\circledcirc ,\\circledast \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\bigoplus, \\bigotimes, \\bigodot \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\bigoplus ,\\bigotimes ,\\bigodot \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\{ \\}, \\O \\empty \\emptyset, \\varnothing \\!", "type": "tex", "mml": "\n \n \n \n {<\/mo>\n }<\/mo>\n ,<\/mo>\n <\/mi>\n <\/mi>\n <\/mi>\n ,<\/mo>\n <\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\{\\},\\emptyset \\emptyset \\emptyset ,\\varnothing \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\in, \\notin \\not\\in, \\ni, \\not\\ni \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n ∉<\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n ∌<\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\in ,\\notin \\not \\in ,\\ni ,\\not \\ni \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\cap, \\Cap, \\sqcap, \\bigcap \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\cap ,\\Cap ,\\sqcap ,\\bigcap \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\cup, \\Cup, \\sqcup, \\bigcup, \\bigsqcup, \\uplus, \\biguplus \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\cup ,\\Cup ,\\sqcup ,\\bigcup ,\\bigsqcup ,\\uplus ,\\biguplus \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\setminus, \\smallsetminus, \\times \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n ×<\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\setminus ,\\smallsetminus ,\\times \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\subset, \\Subset, \\sqsubset \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\subset ,\\Subset ,\\sqsubset \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\supset, \\Supset, \\sqsupset \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\supset ,\\Supset ,\\sqsupset \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\subseteq, \\nsubseteq, \\subsetneq, \\varsubsetneq, \\sqsubseteq \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\subseteq ,\\nsubseteq ,\\subsetneq ,\\varsubsetneq ,\\sqsubseteq \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\supseteq, \\nsupseteq, \\supsetneq, \\varsupsetneq, \\sqsupseteq \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\supseteq ,\\nsupseteq ,\\supsetneq ,\\varsupsetneq ,\\sqsupseteq \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\subseteqq, \\nsubseteqq, \\subsetneqq, \\varsubsetneqq \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\subseteqq ,\\nsubseteqq ,\\subsetneqq ,\\varsubsetneqq \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\supseteqq, \\nsupseteqq, \\supsetneqq, \\varsupsetneqq \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\supseteqq ,\\nsupseteqq ,\\supsetneqq ,\\varsupsetneqq \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "=, \\ne, \\neq, \\equiv, \\not\\equiv \\!", "type": "tex", "mml": "\n \n \n \n =<\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n ≢<\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle =,\\neq ,\\neq ,\\equiv ,\\not \\equiv \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\doteq, \\doteqdot, \\overset{\\underset{\\mathrm{def}}{}}{=}, := \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n \n \n =<\/mo>\n \n \n \n d<\/mi>\n e<\/mi>\n f<\/mi>\n <\/mrow>\n <\/munder>\n <\/mover>\n <\/mrow>\n ,<\/mo>\n :=<\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\doteq ,\\doteqdot ,{\\overset {\\underset {\\mathrm {def} }{}}{=}},:=\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sim, \\nsim, \\backsim, \\thicksim, \\simeq, \\backsimeq, \\eqsim, \\cong, \\ncong \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\sim ,\\nsim ,\\backsim ,\\thicksim ,\\simeq ,\\backsimeq ,\\eqsim ,\\cong ,\\ncong \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\approx, \\thickapprox, \\approxeq, \\asymp, \\propto, \\varpropto \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\approx ,\\thickapprox ,\\approxeq ,\\asymp ,\\propto ,\\varpropto \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "<, \\nless, \\ll, \\not\\ll, \\lll, \\not\\lll, \\lessdot \\!", "type": "tex", "mml": "\n \n \n \n <<\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n ̸<\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n ̸<\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle <,\\nless ,\\ll ,\\not \\ll ,\\lll ,\\not \\lll ,\\lessdot \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": ">, \\ngtr, \\gg, \\not\\gg, \\ggg, \\not\\ggg, \\gtrdot \\!", "type": "tex", "mml": "\n \n \n \n ><\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n ̸<\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n ̸<\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle >,\\ngtr ,\\gg ,\\not \\gg ,\\ggg ,\\not \\ggg ,\\gtrdot \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\le \\leq, \\lneq, \\leqq, \\nleqq, \\lneqq, \\lvertneqq \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\leq \\leq ,\\lneq ,\\leqq ,\\nleqq ,\\lneqq ,\\lvertneqq \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\ge \\geq, \\gneq, \\geqq, \\ngeqq, \\gneqq, \\gvertneqq \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\geq \\geq ,\\gneq ,\\geqq ,\\ngeqq ,\\gneqq ,\\gvertneqq \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\lessgtr \\lesseqgtr \\lesseqqgtr \\gtrless \\gtreqless \\gtreqqless \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\lessgtr \\lesseqgtr \\lesseqqgtr \\gtrless \\gtreqless \\gtreqqless \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\leqslant, \\nleqslant, \\eqslantless \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\leqslant ,\\nleqslant ,\\eqslantless \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\geqslant, \\ngeqslant, \\eqslantgtr \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\geqslant ,\\ngeqslant ,\\eqslantgtr \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\lesssim, \\lnsim, \\lessapprox, \\lnapprox \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\lesssim ,\\lnsim ,\\lessapprox ,\\lnapprox \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": " \\gtrsim, \\gnsim, \\gtrapprox, \\gnapprox \\,", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\gtrsim ,\\gnsim ,\\gtrapprox ,\\gnapprox \\,}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\prec, \\nprec, \\preceq, \\npreceq, \\precneqq \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\prec ,\\nprec ,\\preceq ,\\npreceq ,\\precneqq \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\succ, \\nsucc, \\succeq, \\nsucceq, \\succneqq \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\succ ,\\nsucc ,\\succeq ,\\nsucceq ,\\succneqq \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\preccurlyeq, \\curlyeqprec \\,", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\preccurlyeq ,\\curlyeqprec \\,}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\succcurlyeq, \\curlyeqsucc \\,", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\succcurlyeq ,\\curlyeqsucc \\,}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\precsim, \\precnsim, \\precapprox, \\precnapprox \\,", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\precsim ,\\precnsim ,\\precapprox ,\\precnapprox \\,}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\succsim, \\succnsim, \\succapprox, \\succnapprox \\,", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\succsim ,\\succnsim ,\\succapprox ,\\succnapprox \\,}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\parallel, \\nparallel, \\shortparallel, \\nshortparallel \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\parallel ,\\nparallel ,\\shortparallel ,\\nshortparallel \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\perp, \\angle, \\sphericalangle, \\measuredangle, 45^\\circ \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n \n 45<\/mn>\n \n <\/mo>\n <\/mrow>\n <\/msup>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\perp ,\\angle ,\\sphericalangle ,\\measuredangle ,45^{\\circ }\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\Box, \\blacksquare, \\diamond, \\Diamond \\lozenge, \\blacklozenge, \\bigstar \\!", "type": "tex", "mml": "\n \n \n \n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mi>\n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\Box ,\\blacksquare ,\\diamond ,\\Diamond \\lozenge ,\\blacklozenge ,\\bigstar \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\bigcirc, \\triangle \\bigtriangleup, \\bigtriangledown \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mi>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\bigcirc ,\\triangle \\bigtriangleup ,\\bigtriangledown \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\vartriangle, \\triangledown\\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\vartriangle ,\\triangledown \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\blacktriangle, \\blacktriangledown, \\blacktriangleleft, \\blacktriangleright \\!", "type": "tex", "mml": "\n \n \n \n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\blacktriangle ,\\blacktriangledown ,\\blacktriangleleft ,\\blacktriangleright \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\forall, \\exists, \\nexists \\!", "type": "tex", "mml": "\n \n \n \n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\forall ,\\exists ,\\nexists \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\therefore, \\because, \\And \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n &<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\therefore ,\\because ,\\And \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\or \\lor \\vee, \\curlyvee, \\bigvee \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n <\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\lor \\lor \\vee ,\\curlyvee ,\\bigvee \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\and \\land \\wedge, \\curlywedge, \\bigwedge \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n <\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\land \\land \\wedge ,\\curlywedge ,\\bigwedge \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\bar{q}, \\bar{abc}, \\overline{q}, \\overline{abc}, \\!", "type": "tex", "mml": "\n \n \n \n \n \n \n q<\/mi>\n ¯<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n ,<\/mo>\n \n \n \n \n a<\/mi>\n b<\/mi>\n c<\/mi>\n <\/mrow>\n ¯<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n ,<\/mo>\n \n \n q<\/mi>\n ¯<\/mo>\n <\/mover>\n <\/mrow>\n ,<\/mo>\n \n \n \n a<\/mi>\n b<\/mi>\n c<\/mi>\n <\/mrow>\n ¯<\/mo>\n <\/mover>\n <\/mrow>\n ,<\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\bar {q}},{\\bar {abc}},{\\overline {q}},{\\overline {abc}},\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\lnot \\neg, \\not\\operatorname{R}, \\bot, \\top \\!", "type": "tex", "mml": "\n \n \n \n ¬<\/mi>\n ¬<\/mi>\n ,<\/mo>\n \n \n ⧸<\/mtext>\n <\/mpadded>\n <\/mrow>\n R<\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\lnot \\neg ,\\not \\operatorname {R} ,\\bot ,\\top \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\vdash \\dashv, \\vDash, \\Vdash, \\models \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\vdash \\dashv ,\\vDash ,\\Vdash ,\\models \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\Vvdash \\nvdash \\nVdash \\nvDash \\nVDash \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\Vvdash \\nvdash \\nVdash \\nvDash \\nVDash \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\ulcorner \\urcorner \\llcorner \\lrcorner \\,", "type": "tex", "mml": "\n \n \n \n <\/mo>\n <\/mo>\n <\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\ulcorner \\urcorner \\llcorner \\lrcorner \\,}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\Rrightarrow, \\Lleftarrow \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\Rrightarrow ,\\Lleftarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\Rightarrow, \\nRightarrow, \\Longrightarrow \\implies\\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mo>\n \n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\Rightarrow ,\\nRightarrow ,\\Longrightarrow \\implies \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\Leftarrow, \\nLeftarrow, \\Longleftarrow \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\Leftarrow ,\\nLeftarrow ,\\Longleftarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\Leftrightarrow, \\nLeftrightarrow, \\Longleftrightarrow \\iff \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mo>\n \n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\Leftrightarrow ,\\nLeftrightarrow ,\\Longleftrightarrow \\iff \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\Uparrow, \\Downarrow, \\Updownarrow \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\Uparrow ,\\Downarrow ,\\Updownarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\rightarrow \\to, \\nrightarrow, \\longrightarrow\\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\rightarrow \\to ,\\nrightarrow ,\\longrightarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\leftarrow \\gets, \\nleftarrow, \\longleftarrow\\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\leftarrow \\gets ,\\nleftarrow ,\\longleftarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\leftrightarrow, \\nleftrightarrow, \\longleftrightarrow \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\leftrightarrow ,\\nleftrightarrow ,\\longleftrightarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\uparrow, \\downarrow, \\updownarrow \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\uparrow ,\\downarrow ,\\updownarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\nearrow, \\swarrow, \\nwarrow, \\searrow \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\nearrow ,\\swarrow ,\\nwarrow ,\\searrow \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mapsto, \\longmapsto \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n ,<\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mapsto ,\\longmapsto \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\rightharpoonup \\rightharpoondown \\leftharpoonup \\leftharpoondown \\upharpoonleft \\upharpoonright \\downharpoonleft \\downharpoonright \\rightleftharpoons \\leftrightharpoons \\,\\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n <\/mo>\n <\/mo>\n \n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\rightharpoonup \\rightharpoondown \\leftharpoonup \\leftharpoondown \\upharpoonleft \\upharpoonright \\downharpoonleft \\downharpoonright \\rightleftharpoons \\leftrightharpoons \\,\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\curvearrowleft \\circlearrowleft \\Lsh \\upuparrows \\rightrightarrows \\rightleftarrows \\rightarrowtail \\looparrowright \\,\\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n \n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\curvearrowleft \\circlearrowleft \\Lsh \\upuparrows \\rightrightarrows \\rightleftarrows \\rightarrowtail \\looparrowright \\,\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\curvearrowright \\circlearrowright \\Rsh \\downdownarrows \\leftleftarrows \\leftrightarrows \\leftarrowtail \\looparrowleft \\,\\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n \n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\curvearrowright \\circlearrowright \\Rsh \\downdownarrows \\leftleftarrows \\leftrightarrows \\leftarrowtail \\looparrowleft \\,\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\hookrightarrow \\hookleftarrow \\multimap \\leftrightsquigarrow \\rightsquigarrow \\twoheadrightarrow \\twoheadleftarrow \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\hookrightarrow \\hookleftarrow \\multimap \\leftrightsquigarrow \\rightsquigarrow \\twoheadrightarrow \\twoheadleftarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\amalg \\P \\S \\% \\dagger \\ddagger \\ldots \\cdots \\!", "type": "tex", "mml": "\n \n \n \n ⨿<\/mo>\n \n ¶<\/mo>\n <\/mrow>\n §<\/mi>\n %<\/mi>\n <\/mo>\n <\/mo>\n <\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\amalg \\P \\S \\%\\dagger \\ddagger \\ldots \\cdots \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\smile \\frown \\wr \\triangleleft \\triangleright\\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n <\/mo>\n <\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\smile \\frown \\wr \\triangleleft \\triangleright \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\diamondsuit, \\heartsuit, \\clubsuit, \\spadesuit, \\Game, \\flat, \\natural, \\sharp \\!", "type": "tex", "mml": "\n \n \n \n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n ,<\/mo>\n <\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\diamondsuit ,\\heartsuit ,\\clubsuit ,\\spadesuit ,\\Game ,\\flat ,\\natural ,\\sharp \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\diagup \\diagdown \\centerdot \\ltimes \\rtimes \\leftthreetimes \\rightthreetimes \\!", "type": "tex", "mml": "\n \n \n \n <\/mi>\n <\/mi>\n <\/mo>\n <\/mo>\n <\/mo>\n <\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\diagup \\diagdown \\centerdot \\ltimes \\rtimes \\leftthreetimes \\rightthreetimes \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\eqcirc \\circeq \\triangleq \\bumpeq \\Bumpeq \\doteqdot \\risingdotseq \\fallingdotseq \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\eqcirc \\circeq \\triangleq \\bumpeq \\Bumpeq \\doteqdot \\risingdotseq \\fallingdotseq \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\intercal \\barwedge \\veebar \\doublebarwedge \\between \\pitchfork \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n <\/mo>\n <\/mo>\n <\/mo>\n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\intercal \\barwedge \\veebar \\doublebarwedge \\between \\pitchfork \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\vartriangleleft \\ntriangleleft \\vartriangleright \\ntriangleright \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\vartriangleleft \\ntriangleleft \\vartriangleright \\ntriangleright \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\trianglelefteq \\ntrianglelefteq \\trianglerighteq \\ntrianglerighteq \\!", "type": "tex", "mml": "\n \n \n \n <\/mo>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\trianglelefteq \\ntrianglelefteq \\trianglerighteq \\ntrianglerighteq \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "a^2", "type": "tex", "mml": "\n \n \n \n \n a<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle a^{2}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "a_2", "type": "tex", "mml": "\n \n \n \n \n a<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle a_{2}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "10^{30} a^{2+2}", "type": "tex", "mml": "\n \n \n \n \n 10<\/mn>\n \n 30<\/mn>\n <\/mrow>\n <\/msup>\n \n a<\/mi>\n \n 2<\/mn>\n +<\/mo>\n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle 10^{30}a^{2+2}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "a_{i,j} b_{f'}", "type": "tex", "mml": "\n \n \n \n \n a<\/mi>\n \n i<\/mi>\n ,<\/mo>\n j<\/mi>\n <\/mrow>\n <\/msub>\n \n b<\/mi>\n \n \n f<\/mi>\n ′<\/mo>\n <\/msup>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle a_{i,j}b_{f'}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "x_2^3", "type": "tex", "mml": "\n \n \n \n \n x<\/mi>\n \n 2<\/mn>\n <\/mrow>\n \n 3<\/mn>\n <\/mrow>\n <\/msubsup>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle x_{2}^{3}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "{x_2}^3 \\,\\!", "type": "tex", "mml": "\n \n \n \n \n \n \n x<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msub>\n <\/mrow>\n \n 3<\/mn>\n <\/mrow>\n <\/msup>\n \n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {x_{2}}^{3}\\,\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "10^{10^{8}}", "type": "tex", "mml": "\n \n \n \n \n 10<\/mn>\n \n \n 10<\/mn>\n \n 8<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle 10^{10^{8}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sideset{_1^2}{_3^4}\\prod_a^b", "type": "tex", "mml": "\n \n \n \n \n \n \n \n \n \n \n \n <\/mo>\n <\/mphantom>\n <\/mrow>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n \n 1<\/mn>\n <\/mrow>\n \n 2<\/mn>\n <\/mrow>\n <\/msubsup>\n \n \n \n <\/mo>\n <\/mrow>\n \n 3<\/mn>\n <\/mrow>\n \n 4<\/mn>\n <\/mrow>\n <\/msubsup>\n <\/mrow>\n \n a<\/mi>\n <\/mrow>\n \n b<\/mi>\n <\/mrow>\n <\/munderover>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\sideset {_{1}^{2}}{_{3}^{4}}\\prod _{a}^{b}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "{}_1^2\\!\\Omega_3^4", "type": "tex", "mml": "\n \n \n \n \n \n\n <\/mrow>\n \n 1<\/mn>\n <\/mrow>\n \n 2<\/mn>\n <\/mrow>\n <\/msubsup>\n \n \n Ω<\/mi>\n \n 3<\/mn>\n <\/mrow>\n \n 4<\/mn>\n <\/mrow>\n <\/msubsup>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {}_{1}^{2}\\!\\Omega _{3}^{4}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\overset{\\alpha}{\\omega}", "type": "tex", "mml": "\n \n \n \n \n \n ω<\/mi>\n α<\/mi>\n <\/mover>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\overset {\\alpha }{\\omega }}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\underset{\\alpha}{\\omega}", "type": "tex", "mml": "\n \n \n \n \n \n ω<\/mi>\n α<\/mi>\n <\/munder>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\underset {\\alpha }{\\omega }}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\overset{\\alpha}{\\underset{\\gamma}{\\omega}}", "type": "tex", "mml": "\n \n \n \n \n \n \n ω<\/mi>\n γ<\/mi>\n <\/munder>\n α<\/mi>\n <\/mover>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\overset {\\alpha }{\\underset {\\gamma }{\\omega }}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\stackrel{\\alpha}{\\omega}", "type": "tex", "mml": "\n \n \n \n \n \n \n \n ω<\/mi>\n <\/mrow>\n \n α<\/mi>\n <\/mrow>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\stackrel {\\alpha }{\\omega }}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "x', y'', f', f''", "type": "tex", "mml": "\n \n \n \n \n x<\/mi>\n ′<\/mo>\n <\/msup>\n ,<\/mo>\n \n y<\/mi>\n ″<\/mo>\n <\/msup>\n ,<\/mo>\n \n f<\/mi>\n ′<\/mo>\n <\/msup>\n ,<\/mo>\n \n f<\/mi>\n ″<\/mo>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle x',y'',f',f''}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "x^\\prime, y^{\\prime\\prime}", "type": "tex", "mml": "\n \n \n \n \n x<\/mi>\n \n <\/mi>\n <\/mrow>\n <\/msup>\n ,<\/mo>\n \n y<\/mi>\n \n <\/mi>\n <\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle x^{\\prime },y^{\\prime \\prime }}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\dot{x}, \\ddot{x}", "type": "tex", "mml": "\n \n \n \n \n \n \n x<\/mi>\n ˙<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n ,<\/mo>\n \n \n \n x<\/mi>\n ¨<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\dot {x}},{\\ddot {x}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": " \\hat a \\ \\bar b \\ \\vec c", "type": "tex", "mml": "\n \n \n \n \n \n \n a<\/mi>\n ^<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n  <\/mtext>\n \n \n \n b<\/mi>\n ¯<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n  <\/mtext>\n \n \n \n c<\/mi>\n <\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\hat {a}}\\ {\\bar {b}}\\ {\\vec {c}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": " \\overrightarrow{a b} \\ \\overleftarrow{c d} \\ \\widehat{d e f}", "type": "tex", "mml": "\n \n \n \n \n \n \n a<\/mi>\n b<\/mi>\n <\/mrow>\n <\/mo>\n <\/mover>\n <\/mrow>\n  <\/mtext>\n \n \n \n c<\/mi>\n d<\/mi>\n <\/mrow>\n <\/mo>\n <\/mover>\n <\/mrow>\n  <\/mtext>\n \n \n \n \n d<\/mi>\n e<\/mi>\n f<\/mi>\n <\/mrow>\n ^<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\overrightarrow {ab}}\\ {\\overleftarrow {cd}}\\ {\\widehat {def}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": " \\overline{g h i} \\ \\underline{j k l}", "type": "tex", "mml": "\n \n \n \n \n \n \n g<\/mi>\n h<\/mi>\n i<\/mi>\n <\/mrow>\n ¯<\/mo>\n <\/mover>\n <\/mrow>\n  <\/mtext>\n \n \n \n j<\/mi>\n k<\/mi>\n l<\/mi>\n <\/mrow>\n _<\/mo>\n <\/munder>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\overline {ghi}}\\ {\\underline {jkl}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\overset{\\frown} {AB}", "type": "tex", "mml": "\n \n \n \n \n \n \n A<\/mi>\n B<\/mi>\n <\/mrow>\n <\/mo>\n <\/mover>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\overset {\\frown }{AB}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": " A \\xleftarrow{n+\\mu-1} B \\xrightarrow[T]{n\\pm i-1} C", "type": "tex", "mml": "\n \n \n \n A<\/mi>\n \n \n ←<\/mo>\n \n n<\/mi>\n +<\/mo>\n μ<\/mi>\n <\/mo>\n 1<\/mn>\n <\/mpadded>\n <\/mover>\n <\/mrow>\n B<\/mi>\n \n \n →<\/mo>\n \n \n T<\/mi>\n <\/mrow>\n <\/mpadded>\n \n n<\/mi>\n ±<\/mo>\n i<\/mi>\n <\/mo>\n 1<\/mn>\n <\/mpadded>\n <\/munderover>\n <\/mrow>\n C<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle A{\\xleftarrow {n+\\mu -1}}B{\\xrightarrow[{T}]{n\\pm i-1}}C}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\overbrace{ 1+2+\\cdots+100 }^{5050}", "type": "tex", "mml": "\n \n \n \n \n \n \n \n 1<\/mn>\n +<\/mo>\n 2<\/mn>\n +<\/mo>\n <\/mo>\n +<\/mo>\n 100<\/mn>\n <\/mrow>\n <\/mo>\n <\/mover>\n <\/mrow>\n \n 5050<\/mn>\n <\/mrow>\n <\/mover>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\overbrace {1+2+\\cdots +100} ^{5050}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\underbrace{ a+b+\\cdots+z }_{26}", "type": "tex", "mml": "\n \n \n \n \n \n \n \n a<\/mi>\n +<\/mo>\n b<\/mi>\n +<\/mo>\n <\/mo>\n +<\/mo>\n z<\/mi>\n <\/mrow>\n <\/mo>\n <\/munder>\n <\/mrow>\n \n 26<\/mn>\n <\/mrow>\n <\/munder>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\underbrace {a+b+\\cdots +z} _{26}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sum_{k=1}^N k^2", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n k<\/mi>\n =<\/mo>\n 1<\/mn>\n <\/mrow>\n \n N<\/mi>\n <\/mrow>\n <\/munderover>\n \n k<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\sum _{k=1}^{N}k^{2}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\textstyle \\sum_{k=1}^N k^2", "type": "tex", "mml": "\n \n \n \n \n \n <\/mo>\n \n k<\/mi>\n =<\/mo>\n 1<\/mn>\n <\/mrow>\n \n N<\/mi>\n <\/mrow>\n <\/munderover>\n \n k<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\textstyle \\sum _{k=1}^{N}k^{2}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\frac{\\sum_{k=1}^N k^2}{a}", "type": "tex", "mml": "\n \n \n \n \n \n \n \n <\/mo>\n \n k<\/mi>\n =<\/mo>\n 1<\/mn>\n <\/mrow>\n \n N<\/mi>\n <\/mrow>\n <\/munderover>\n \n k<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n a<\/mi>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\frac {\\sum _{k=1}^{N}k^{2}}{a}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\frac{\\displaystyle \\sum_{k=1}^N k^2}{a}", "type": "tex", "mml": "\n \n \n \n \n \n \n \n <\/mo>\n \n k<\/mi>\n =<\/mo>\n 1<\/mn>\n <\/mrow>\n \n N<\/mi>\n <\/mrow>\n <\/munderover>\n \n k<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n a<\/mi>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\frac {\\displaystyle \\sum _{k=1}^{N}k^{2}}{a}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\frac{\\sum\\limits^{^N}_{k=1} k^2}{a}", "type": "tex", "mml": "\n \n \n \n \n \n \n \n <\/mo>\n \n k<\/mi>\n =<\/mo>\n 1<\/mn>\n <\/mrow>\n \n \n <\/mi>\n \n N<\/mi>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <\/munderover>\n \n k<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n a<\/mi>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\frac {\\sum \\limits _{k=1}^{^{N}}k^{2}}{a}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\prod_{i=1}^N x_i", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n i<\/mi>\n =<\/mo>\n 1<\/mn>\n <\/mrow>\n \n N<\/mi>\n <\/mrow>\n <\/munderover>\n \n x<\/mi>\n \n i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\prod _{i=1}^{N}x_{i}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\textstyle \\prod_{i=1}^N x_i", "type": "tex", "mml": "\n \n \n \n \n \n <\/mo>\n \n i<\/mi>\n =<\/mo>\n 1<\/mn>\n <\/mrow>\n \n N<\/mi>\n <\/mrow>\n <\/munderover>\n \n x<\/mi>\n \n i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\textstyle \\prod _{i=1}^{N}x_{i}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\coprod_{i=1}^N x_i", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n i<\/mi>\n =<\/mo>\n 1<\/mn>\n <\/mrow>\n \n N<\/mi>\n <\/mrow>\n <\/munderover>\n \n x<\/mi>\n \n i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\coprod _{i=1}^{N}x_{i}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\textstyle \\coprod_{i=1}^N x_i", "type": "tex", "mml": "\n \n \n \n \n \n <\/mo>\n \n i<\/mi>\n =<\/mo>\n 1<\/mn>\n <\/mrow>\n \n N<\/mi>\n <\/mrow>\n <\/munderover>\n \n x<\/mi>\n \n i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\textstyle \\coprod _{i=1}^{N}x_{i}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\lim_{n \\to \\infty}x_n", "type": "tex", "mml": "\n \n \n \n \n lim<\/mo>\n \n n<\/mi>\n <\/mo>\n <\/mi>\n <\/mrow>\n <\/munder>\n \n x<\/mi>\n \n n<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\lim _{n\\to \\infty }x_{n}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\textstyle \\lim_{n \\to \\infty}x_n", "type": "tex", "mml": "\n \n \n \n \n \n lim<\/mo>\n \n n<\/mi>\n <\/mo>\n <\/mi>\n <\/mrow>\n <\/munder>\n \n x<\/mi>\n \n n<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\textstyle \\lim _{n\\to \\infty }x_{n}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\int\\limits_{1}^{3}\\frac{e^3\/x}{x^2}\\, dx", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n 1<\/mn>\n <\/mrow>\n \n 3<\/mn>\n <\/mrow>\n <\/munderover>\n \n \n \n \n e<\/mi>\n \n 3<\/mn>\n <\/mrow>\n <\/msup>\n \n \/<\/mo>\n <\/mrow>\n x<\/mi>\n <\/mrow>\n \n x<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mfrac>\n <\/mrow>\n \n d<\/mi>\n x<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\int \\limits _{1}^{3}{\\frac {e^{3}\/x}{x^{2}}}\\,dx}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\int_{1}^{3}\\frac{e^3\/x}{x^2}\\, dx", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n 1<\/mn>\n <\/mrow>\n \n 3<\/mn>\n <\/mrow>\n <\/msubsup>\n \n \n \n \n e<\/mi>\n \n 3<\/mn>\n <\/mrow>\n <\/msup>\n \n \/<\/mo>\n <\/mrow>\n x<\/mi>\n <\/mrow>\n \n x<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mfrac>\n <\/mrow>\n \n d<\/mi>\n x<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\int _{1}^{3}{\\frac {e^{3}\/x}{x^{2}}}\\,dx}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\textstyle \\int\\limits_{-N}^{N} e^x\\, dx", "type": "tex", "mml": "\n \n \n \n \n \n <\/mo>\n \n <\/mo>\n N<\/mi>\n <\/mrow>\n \n N<\/mi>\n <\/mrow>\n <\/munderover>\n \n e<\/mi>\n \n x<\/mi>\n <\/mrow>\n <\/msup>\n \n d<\/mi>\n x<\/mi>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\textstyle \\int \\limits _{-N}^{N}e^{x}\\,dx}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\textstyle \\int_{-N}^{N} e^x\\, dx", "type": "tex", "mml": "\n \n \n \n \n \n <\/mo>\n \n <\/mo>\n N<\/mi>\n <\/mrow>\n \n N<\/mi>\n <\/mrow>\n <\/msubsup>\n \n e<\/mi>\n \n x<\/mi>\n <\/mrow>\n <\/msup>\n \n d<\/mi>\n x<\/mi>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\textstyle \\int _{-N}^{N}e^{x}\\,dx}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\iint\\limits_D \\, dx\\,dy", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n D<\/mi>\n <\/mrow>\n <\/munder>\n \n d<\/mi>\n x<\/mi>\n \n d<\/mi>\n y<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\iint \\limits _{D}\\,dx\\,dy}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\iiint\\limits_E \\, dx\\,dy\\,dz", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n E<\/mi>\n <\/mrow>\n <\/munder>\n \n d<\/mi>\n x<\/mi>\n \n d<\/mi>\n y<\/mi>\n \n d<\/mi>\n z<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\iiint \\limits _{E}\\,dx\\,dy\\,dz}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\iiiint\\limits_F \\, dx\\,dy\\,dz\\,dt", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n F<\/mi>\n <\/mrow>\n <\/munder>\n \n d<\/mi>\n x<\/mi>\n \n d<\/mi>\n y<\/mi>\n \n d<\/mi>\n z<\/mi>\n \n d<\/mi>\n t<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\iiiint \\limits _{F}\\,dx\\,dy\\,dz\\,dt}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\int_{(x,y)\\in C} x^3\\, dx + 4y^2\\, dy", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n (<\/mo>\n x<\/mi>\n ,<\/mo>\n y<\/mi>\n )<\/mo>\n <\/mo>\n C<\/mi>\n <\/mrow>\n <\/msub>\n \n x<\/mi>\n \n 3<\/mn>\n <\/mrow>\n <\/msup>\n \n d<\/mi>\n x<\/mi>\n +<\/mo>\n 4<\/mn>\n \n y<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n \n d<\/mi>\n y<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\int _{(x,y)\\in C}x^{3}\\,dx+4y^{2}\\,dy}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\oint_{(x,y)\\in C} x^3\\, dx + 4y^2\\, dy", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n (<\/mo>\n x<\/mi>\n ,<\/mo>\n y<\/mi>\n )<\/mo>\n <\/mo>\n C<\/mi>\n <\/mrow>\n <\/msub>\n \n x<\/mi>\n \n 3<\/mn>\n <\/mrow>\n <\/msup>\n \n d<\/mi>\n x<\/mi>\n +<\/mo>\n 4<\/mn>\n \n y<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n \n d<\/mi>\n y<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\oint _{(x,y)\\in C}x^{3}\\,dx+4y^{2}\\,dy}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\bigcap_{i=_1}^n E_i", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n i<\/mi>\n \n =<\/mo>\n \n 1<\/mn>\n <\/mrow>\n <\/msub>\n <\/mrow>\n \n n<\/mi>\n <\/mrow>\n <\/munderover>\n \n E<\/mi>\n \n i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\bigcap _{i=_{1}}^{n}E_{i}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\bigcup_{i=_1}^n E_i", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n i<\/mi>\n \n =<\/mo>\n \n 1<\/mn>\n <\/mrow>\n <\/msub>\n <\/mrow>\n \n n<\/mi>\n <\/mrow>\n <\/munderover>\n \n E<\/mi>\n \n i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\bigcup _{i=_{1}}^{n}E_{i}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\frac{2}{4}=0.5", "type": "tex", "mml": "\n \n \n \n \n \n 2<\/mn>\n 4<\/mn>\n <\/mfrac>\n <\/mrow>\n =<\/mo>\n 0.5<\/mn>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\frac {2}{4}}=0.5}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\tfrac{2}{4} = 0.5", "type": "tex", "mml": "\n \n \n \n \n \n \n 2<\/mn>\n 4<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n =<\/mo>\n 0.5<\/mn>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\tfrac {2}{4}}=0.5}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\dfrac{2}{4} = 0.5 \\qquad \\dfrac{2}{c + \\dfrac{2}{d + \\dfrac{2}{4}}} = a", "type": "tex", "mml": "\n \n \n \n \n \n \n 2<\/mn>\n 4<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n =<\/mo>\n 0.5<\/mn>\n \n \n \n \n 2<\/mn>\n \n c<\/mi>\n +<\/mo>\n \n \n \n 2<\/mn>\n \n d<\/mi>\n +<\/mo>\n \n \n \n 2<\/mn>\n 4<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n =<\/mo>\n a<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\dfrac {2}{4}}=0.5\\qquad {\\dfrac {2}{c+{\\dfrac {2}{d+{\\dfrac {2}{4}}}}}}=a}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\cfrac{2}{c + \\cfrac{2}{d + \\cfrac{2}{4}}} = a", "type": "tex", "mml": "\n \n \n \n \n \n \n \n \n <\/mpadded>\n \n \n 2<\/mn>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n \n \n \n <\/mpadded>\n \n \n c<\/mi>\n +<\/mo>\n \n \n \n \n \n <\/mpadded>\n \n \n 2<\/mn>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n \n \n \n <\/mpadded>\n \n \n d<\/mi>\n +<\/mo>\n \n \n \n \n \n <\/mpadded>\n \n \n 2<\/mn>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n \n \n \n <\/mpadded>\n \n \n 4<\/mn>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n =<\/mo>\n a<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\cfrac {2}{c+{\\cfrac {2}{d+{\\cfrac {2}{4}}}}}}=a}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\cfrac{x}{1 + \\cfrac{\\cancel{y}}{\\cancel{y}}} = \\cfrac{x}{2}", "type": "tex", "mml": "\n \n \n \n \n \n \n \n \n <\/mpadded>\n \n \n x<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n \n \n \n <\/mpadded>\n \n \n 1<\/mn>\n +<\/mo>\n \n \n \n \n \n <\/mpadded>\n \n \n \n y<\/mi>\n <\/menclose>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n \n \n \n <\/mpadded>\n \n \n \n y<\/mi>\n <\/menclose>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n =<\/mo>\n \n \n \n \n \n <\/mpadded>\n \n \n x<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n \n \n \n <\/mpadded>\n \n \n 2<\/mn>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\cfrac {x}{1+{\\cfrac {\\cancel {y}}{\\cancel {y}}}}}={\\cfrac {x}{2}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\binom{n}{k}", "type": "tex", "mml": "\n \n \n \n \n \n \n (<\/mo>\n <\/mrow>\n \n n<\/mi>\n k<\/mi>\n <\/mfrac>\n \n )<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\binom {n}{k}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\tbinom{n}{k}", "type": "tex", "mml": "\n \n \n \n \n \n \n \n (<\/mo>\n <\/mrow>\n \n n<\/mi>\n k<\/mi>\n <\/mfrac>\n \n )<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\tbinom {n}{k}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\dbinom{n}{k}", "type": "tex", "mml": "\n \n \n \n \n \n \n \n (<\/mo>\n <\/mrow>\n \n n<\/mi>\n k<\/mi>\n <\/mfrac>\n \n )<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\dbinom {n}{k}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\begin{matrix} x & y \\\\ z & v\n\\end{matrix}", "type": "tex", "mml": "\n \n \n \n \n \n \n \n x<\/mi>\n <\/mtd>\n \n y<\/mi>\n <\/mtd>\n <\/mtr>\n \n \n z<\/mi>\n <\/mtd>\n \n v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\begin{matrix}x&y\\\\z&v\\end{matrix}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\begin{vmatrix} x & y \\\\ z & v\n\\end{vmatrix}", "type": "tex", "mml": "\n \n \n \n \n \n |<\/mo>\n \n \n \n x<\/mi>\n <\/mtd>\n \n y<\/mi>\n <\/mtd>\n <\/mtr>\n \n \n z<\/mi>\n <\/mtd>\n \n v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n |<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\begin{vmatrix}x&y\\\\z&v\\end{vmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\begin{Vmatrix} x & y \\\\ z & v\n\\end{Vmatrix}", "type": "tex", "mml": "\n \n \n \n \n \n ‖<\/mo>\n \n \n \n x<\/mi>\n <\/mtd>\n \n y<\/mi>\n <\/mtd>\n <\/mtr>\n \n \n z<\/mi>\n <\/mtd>\n \n v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n ‖<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\begin{Vmatrix}x&y\\\\z&v\\end{Vmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\begin{bmatrix} 0 & \\cdots & 0 \\\\ \\vdots\n& \\ddots & \\vdots \\\\ 0 & \\cdots &\n0\\end{bmatrix} ", "type": "tex", "mml": "\n \n \n \n \n \n [<\/mo>\n \n \n \n 0<\/mn>\n <\/mtd>\n \n <\/mo>\n <\/mtd>\n \n 0<\/mn>\n <\/mtd>\n <\/mtr>\n \n \n <\/mo>\n <\/mtd>\n \n <\/mo>\n <\/mtd>\n \n <\/mo>\n <\/mtd>\n <\/mtr>\n \n \n 0<\/mn>\n <\/mtd>\n \n <\/mo>\n <\/mtd>\n \n 0<\/mn>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n ]<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\begin{bmatrix}0&\\cdots &0\\\\\\vdots &\\ddots &\\vdots \\\\0&\\cdots &0\\end{bmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\begin{Bmatrix} x & y \\\\ z & v\n\\end{Bmatrix}", "type": "tex", "mml": "\n \n \n \n \n \n {<\/mo>\n \n \n \n x<\/mi>\n <\/mtd>\n \n y<\/mi>\n <\/mtd>\n <\/mtr>\n \n \n z<\/mi>\n <\/mtd>\n \n v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n }<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\begin{Bmatrix}x&y\\\\z&v\\end{Bmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\begin{pmatrix} x & y \\\\ z & v\n\\end{pmatrix}", "type": "tex", "mml": "\n \n \n \n \n \n (<\/mo>\n \n \n \n x<\/mi>\n <\/mtd>\n \n y<\/mi>\n <\/mtd>\n <\/mtr>\n \n \n z<\/mi>\n <\/mtd>\n \n v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n )<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\begin{pmatrix}x&y\\\\z&v\\end{pmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\n\\bigl( \\begin{smallmatrix}\na&b\\\\ c&d\n\\end{smallmatrix} \\bigr)\n", "type": "tex", "mml": "\n \n \n \n \n \n (<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n \n \n \n a<\/mi>\n <\/mtd>\n \n b<\/mi>\n <\/mtd>\n <\/mtr>\n \n \n c<\/mi>\n <\/mtd>\n \n d<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mstyle>\n <\/mrow>\n \n \n )<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\bigl (}{\\begin{smallmatrix}a&b\\\\c&d\\end{smallmatrix}}{\\bigr )}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "f(n) =\n\\begin{cases}\nn\/2, & \\text{if }n\\text{ is even} \\\\\n3n+1, & \\text{if }n\\text{ is odd}\n\\end{cases} ", "type": "tex", "mml": "\n \n \n \n f<\/mi>\n (<\/mo>\n n<\/mi>\n )<\/mo>\n =<\/mo>\n \n \n {<\/mo>\n \n \n \n n<\/mi>\n \n \/<\/mo>\n <\/mrow>\n 2<\/mn>\n ,<\/mo>\n <\/mtd>\n \n \n if <\/mtext>\n <\/mrow>\n n<\/mi>\n \n  is even<\/mtext>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n \n \n 3<\/mn>\n n<\/mi>\n +<\/mo>\n 1<\/mn>\n ,<\/mo>\n <\/mtd>\n \n \n if <\/mtext>\n <\/mrow>\n n<\/mi>\n \n  is odd<\/mtext>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle f(n)={\\begin{cases}n\/2,&{\\text{if }}n{\\text{ is even}}\\\\3n+1,&{\\text{if }}n{\\text{ is odd}}\\end{cases}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\n\\begin{align}\nf(x) & = (a+b)^2 \\\\\n& = a^2+2ab+b^2 \\\\\n\\end{align}\n", "type": "tex", "mml": "\n \n \n \n \n \n \n \n f<\/mi>\n (<\/mo>\n x<\/mi>\n )<\/mo>\n <\/mtd>\n \n <\/mi>\n =<\/mo>\n (<\/mo>\n a<\/mi>\n +<\/mo>\n b<\/mi>\n \n )<\/mo>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mtd>\n <\/mtr>\n \n \n \n <\/mi>\n =<\/mo>\n \n a<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n +<\/mo>\n 2<\/mn>\n a<\/mi>\n b<\/mi>\n +<\/mo>\n \n b<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\begin{aligned}f(x)&=(a+b)^{2}\\\\&=a^{2}+2ab+b^{2}\\\\\\end{aligned}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\n\\begin{alignat}{2}\nf(x) & = (a-b)^2 \\\\\n& = a^2-2ab+b^2 \\\\\n\\end{alignat}\n", "type": "tex", "mml": "\n \n \n \n \n \n \n \n f<\/mi>\n (<\/mo>\n x<\/mi>\n )<\/mo>\n <\/mtd>\n \n <\/mi>\n =<\/mo>\n (<\/mo>\n a<\/mi>\n <\/mo>\n b<\/mi>\n \n )<\/mo>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mtd>\n <\/mtr>\n \n \n \n <\/mi>\n =<\/mo>\n \n a<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mo>\n 2<\/mn>\n a<\/mi>\n b<\/mi>\n +<\/mo>\n \n b<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\begin{alignedat}{2}f(x)&=(a-b)^{2}\\\\&=a^{2}-2ab+b^{2}\\\\\\end{alignedat}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\begin{array}{lcl}\nz & = & a \\\\\nf(x,y,z) & = & x + y + z\n\\end{array}", "type": "tex", "mml": "\n \n \n \n \n \n \n \n z<\/mi>\n <\/mtd>\n \n =<\/mo>\n <\/mtd>\n \n a<\/mi>\n <\/mtd>\n <\/mtr>\n \n \n f<\/mi>\n (<\/mo>\n x<\/mi>\n ,<\/mo>\n y<\/mi>\n ,<\/mo>\n z<\/mi>\n )<\/mo>\n <\/mtd>\n \n =<\/mo>\n <\/mtd>\n \n x<\/mi>\n +<\/mo>\n y<\/mi>\n +<\/mo>\n z<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\begin{array}{lcl}z&=&a\\\\f(x,y,z)&=&x+y+z\\end{array}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\begin{array}{lcr}\nz & = & a \\\\\nf(x,y,z) & = & x + y + z\n\\end{array}", "type": "tex", "mml": "\n \n \n \n \n \n \n \n z<\/mi>\n <\/mtd>\n \n =<\/mo>\n <\/mtd>\n \n a<\/mi>\n <\/mtd>\n <\/mtr>\n \n \n f<\/mi>\n (<\/mo>\n x<\/mi>\n ,<\/mo>\n y<\/mi>\n ,<\/mo>\n z<\/mi>\n )<\/mo>\n <\/mtd>\n \n =<\/mo>\n <\/mtd>\n \n x<\/mi>\n +<\/mo>\n y<\/mi>\n +<\/mo>\n z<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\begin{array}{lcr}z&=&a\\\\f(x,y,z)&=&x+y+z\\end{array}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "f(x) \\,\\!", "type": "tex", "mml": "\n \n \n \n f<\/mi>\n (<\/mo>\n x<\/mi>\n )<\/mo>\n \n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle f(x)\\,\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "= \\sum_{n=0}^\\infty a_n x^n ", "type": "tex", "mml": "\n \n \n \n =<\/mo>\n \n <\/mo>\n \n n<\/mi>\n =<\/mo>\n 0<\/mn>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n <\/munderover>\n \n a<\/mi>\n \n n<\/mi>\n <\/mrow>\n <\/msub>\n \n x<\/mi>\n \n n<\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle =\\sum _{n=0}^{\\infty }a_{n}x^{n}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "= a_0 +a_1x+a_2x^2+\\cdots", "type": "tex", "mml": "\n \n \n \n =<\/mo>\n \n a<\/mi>\n \n 0<\/mn>\n <\/mrow>\n <\/msub>\n +<\/mo>\n \n a<\/mi>\n \n 1<\/mn>\n <\/mrow>\n <\/msub>\n x<\/mi>\n +<\/mo>\n \n a<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msub>\n \n x<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n +<\/mo>\n <\/mo>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle =a_{0}+a_{1}x+a_{2}x^{2}+\\cdots }<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\begin{cases} 3x + 5y + z \\\\ 7x - 2y + 4z \\\\ -6x + 3y + 2z \\end{cases}", "type": "tex", "mml": "\n \n \n \n \n \n {<\/mo>\n \n \n \n 3<\/mn>\n x<\/mi>\n +<\/mo>\n 5<\/mn>\n y<\/mi>\n +<\/mo>\n z<\/mi>\n <\/mtd>\n <\/mtr>\n \n \n 7<\/mn>\n x<\/mi>\n <\/mo>\n 2<\/mn>\n y<\/mi>\n +<\/mo>\n 4<\/mn>\n z<\/mi>\n <\/mtd>\n <\/mtr>\n \n \n <\/mo>\n 6<\/mn>\n x<\/mi>\n +<\/mo>\n 3<\/mn>\n y<\/mi>\n +<\/mo>\n 2<\/mn>\n z<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\begin{cases}3x+5y+z\\\\7x-2y+4z\\\\-6x+3y+2z\\end{cases}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\n\\begin{array}{|c|c||c|} a & b & S \\\\\n\\hline\n0&0&1\\\\\n0&1&1\\\\\n1&0&1\\\\\n1&1&0\\\\\n\\end{array}\n", "type": "tex", "mml": "\n \n \n \n \n \n \n \n \n a<\/mi>\n <\/mtd>\n \n b<\/mi>\n <\/mtd>\n \n S<\/mi>\n <\/mtd>\n <\/mtr>\n \n \n 0<\/mn>\n <\/mtd>\n \n 0<\/mn>\n <\/mtd>\n \n 1<\/mn>\n <\/mtd>\n <\/mtr>\n \n \n 0<\/mn>\n <\/mtd>\n \n 1<\/mn>\n <\/mtd>\n \n 1<\/mn>\n <\/mtd>\n <\/mtr>\n \n \n 1<\/mn>\n <\/mtd>\n \n 0<\/mn>\n <\/mtd>\n \n 1<\/mn>\n <\/mtd>\n <\/mtr>\n \n \n 1<\/mn>\n <\/mtd>\n \n 1<\/mn>\n <\/mtd>\n \n 0<\/mn>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/menclose>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\begin{array}{|c|c||c|}a&b&S\\\\\\hline 0&0&1\\\\0&1&1\\\\1&0&1\\\\1&1&0\\\\\\end{array}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "( \\frac{1}{2} )", "type": "tex", "mml": "\n \n \n \n (<\/mo>\n \n \n 1<\/mn>\n 2<\/mn>\n <\/mfrac>\n <\/mrow>\n )<\/mo>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle ({\\frac {1}{2}})}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\left ( \\frac{1}{2} \\right )", "type": "tex", "mml": "\n \n \n \n \n (<\/mo>\n \n \n 1<\/mn>\n 2<\/mn>\n <\/mfrac>\n <\/mrow>\n )<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\left({\\frac {1}{2}}\\right)}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\left ( \\frac{a}{b} \\right )", "type": "tex", "mml": "\n \n \n \n \n (<\/mo>\n \n \n a<\/mi>\n b<\/mi>\n <\/mfrac>\n <\/mrow>\n )<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\left({\\frac {a}{b}}\\right)}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\left [ \\frac{a}{b} \\right ] \\quad \\left \\lbrack \\frac{a}{b} \\right \\rbrack", "type": "tex", "mml": "\n \n \n \n \n [<\/mo>\n \n \n a<\/mi>\n b<\/mi>\n <\/mfrac>\n <\/mrow>\n ]<\/mo>\n <\/mrow>\n \n \n [<\/mo>\n \n \n a<\/mi>\n b<\/mi>\n <\/mfrac>\n <\/mrow>\n ]<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\left[{\\frac {a}{b}}\\right]\\quad \\left\\lbrack {\\frac {a}{b}}\\right\\rbrack }<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\left \\{ \\frac{a}{b} \\right \\} \\quad \\left \\lbrace \\frac{a}{b} \\right \\rbrace", "type": "tex", "mml": "\n \n \n \n \n {<\/mo>\n \n \n a<\/mi>\n b<\/mi>\n <\/mfrac>\n <\/mrow>\n }<\/mo>\n <\/mrow>\n \n \n {<\/mo>\n \n \n a<\/mi>\n b<\/mi>\n <\/mfrac>\n <\/mrow>\n }<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\left\\{{\\frac {a}{b}}\\right\\}\\quad \\left\\lbrace {\\frac {a}{b}}\\right\\rbrace }<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\left \\langle \\frac{a}{b} \\right \\rangle", "type": "tex", "mml": "\n \n \n \n \n ⟨<\/mo>\n \n \n a<\/mi>\n b<\/mi>\n <\/mfrac>\n <\/mrow>\n ⟩<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\left\\langle {\\frac {a}{b}}\\right\\rangle }<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\left | \\frac{a}{b} \\right \\vert \\quad \\left \\Vert \\frac{c}{d} \\right \\|", "type": "tex", "mml": "\n \n \n \n \n |<\/mo>\n \n \n a<\/mi>\n b<\/mi>\n <\/mfrac>\n <\/mrow>\n |<\/mo>\n <\/mrow>\n \n \n ‖<\/mo>\n \n \n c<\/mi>\n d<\/mi>\n <\/mfrac>\n <\/mrow>\n ‖<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\left|{\\frac {a}{b}}\\right\\vert \\quad \\left\\Vert {\\frac {c}{d}}\\right\\|}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\left \\lfloor \\frac{a}{b} \\right \\rfloor \\quad \\left \\lceil \\frac{c}{d} \\right \\rceil", "type": "tex", "mml": "\n \n \n \n \n ⌊<\/mo>\n \n \n a<\/mi>\n b<\/mi>\n <\/mfrac>\n <\/mrow>\n ⌋<\/mo>\n <\/mrow>\n \n \n ⌈<\/mo>\n \n \n c<\/mi>\n d<\/mi>\n <\/mfrac>\n <\/mrow>\n ⌉<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\left\\lfloor {\\frac {a}{b}}\\right\\rfloor \\quad \\left\\lceil {\\frac {c}{d}}\\right\\rceil }<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\left \/ \\frac{a}{b} \\right \\backslash", "type": "tex", "mml": "\n \n \n \n \n \/<\/mo>\n \n \n a<\/mi>\n b<\/mi>\n <\/mfrac>\n <\/mrow>\n \\<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\left\/{\\frac {a}{b}}\\right\\backslash }<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\left \\uparrow \\frac{a}{b} \\right \\downarrow \\quad \\left \\Uparrow \\frac{a}{b} \\right \\Downarrow \\quad \\left \\updownarrow \\frac{a}{b} \\right \\Updownarrow", "type": "tex", "mml": "\n \n \n \n \n ↑<\/mo>\n \n \n a<\/mi>\n b<\/mi>\n <\/mfrac>\n <\/mrow>\n ↓<\/mo>\n <\/mrow>\n \n \n ⇑<\/mo>\n \n \n a<\/mi>\n b<\/mi>\n <\/mfrac>\n <\/mrow>\n ⇓<\/mo>\n <\/mrow>\n \n \n ↕<\/mo>\n \n \n a<\/mi>\n b<\/mi>\n <\/mfrac>\n <\/mrow>\n ⇕<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\left\\uparrow {\\frac {a}{b}}\\right\\downarrow \\quad \\left\\Uparrow {\\frac {a}{b}}\\right\\Downarrow \\quad \\left\\updownarrow {\\frac {a}{b}}\\right\\Updownarrow }<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\left [ 0,1 \\right )", "type": "tex", "mml": "\n \n \n \n \n [<\/mo>\n \n 0<\/mn>\n ,<\/mo>\n 1<\/mn>\n <\/mrow>\n )<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\left[0,1\\right)}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\left \\langle \\psi \\right |", "type": "tex", "mml": "\n \n \n \n \n ⟨<\/mo>\n ψ<\/mi>\n |<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\left\\langle \\psi \\right|}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\left . \\frac{A}{B} \\right \\} \\to X", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n \n A<\/mi>\n B<\/mi>\n <\/mfrac>\n <\/mrow>\n }<\/mo>\n <\/mrow>\n <\/mo>\n X<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\left.{\\frac {A}{B}}\\right\\}\\to X}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\big( \\Big( \\bigg( \\Bigg( \\dots \\Bigg] \\bigg] \\Big] \\big]", "type": "tex", "mml": "\n \n \n \n \n \n (<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n (<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n (<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n (<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mo>\n \n \n ]<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ]<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ]<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ]<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\big (}{\\Big (}{\\bigg (}{\\Bigg (}\\dots {\\Bigg ]}{\\bigg ]}{\\Big ]}{\\big ]}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\big\\{ \\Big\\{ \\bigg\\{ \\Bigg\\{ \\dots \\Bigg\\rangle \\bigg\\rangle \\Big\\rangle \\big\\rangle", "type": "tex", "mml": "\n \n \n \n \n \n {<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n {<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n {<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n {<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mo>\n \n \n ⟩<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ⟩<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ⟩<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ⟩<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\big \\{}{\\Big \\{}{\\bigg \\{}{\\Bigg \\{}\\dots {\\Bigg \\rangle }{\\bigg \\rangle }{\\Big \\rangle }{\\big \\rangle }}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\big\\| \\Big\\| \\bigg\\| \\Bigg\\| \\dots \\Bigg| \\bigg| \\Big| \\big|", "type": "tex", "mml": "\n \n \n \n \n \n ‖<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ‖<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ‖<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ‖<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mo>\n \n \n |<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n |<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n |<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n |<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\big \\|}{\\Big \\|}{\\bigg \\|}{\\Bigg \\|}\\dots {\\Bigg |}{\\bigg |}{\\Big |}{\\big |}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\big\\lfloor \\Big\\lfloor \\bigg\\lfloor \\Bigg\\lfloor \\dots \\Bigg\\rceil \\bigg\\rceil \\Big\\rceil \\big\\rceil", "type": "tex", "mml": "\n \n \n \n \n \n ⌊<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ⌊<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ⌊<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ⌊<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mo>\n \n \n ⌉<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ⌉<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ⌉<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ⌉<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\big \\lfloor }{\\Big \\lfloor }{\\bigg \\lfloor }{\\Bigg \\lfloor }\\dots {\\Bigg \\rceil }{\\bigg \\rceil }{\\Big \\rceil }{\\big \\rceil }}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\big\\uparrow \\Big\\uparrow \\bigg\\uparrow \\Bigg\\uparrow \\dots \\Bigg\\Downarrow \\bigg\\Downarrow \\Big\\Downarrow \\big\\Downarrow", "type": "tex", "mml": "\n \n \n \n \n \n ↑<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ↑<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ↑<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ↑<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mo>\n \n \n ⇓<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ⇓<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ⇓<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ⇓<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\big \\uparrow }{\\Big \\uparrow }{\\bigg \\uparrow }{\\Bigg \\uparrow }\\dots {\\Bigg \\Downarrow }{\\bigg \\Downarrow }{\\Big \\Downarrow }{\\big \\Downarrow }}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\big\\updownarrow \\Big\\updownarrow \\bigg\\updownarrow \\Bigg\\updownarrow \\dots \\Bigg\\Updownarrow \\bigg\\Updownarrow \\Big\\Updownarrow \\big\\Updownarrow", "type": "tex", "mml": "\n \n \n \n \n \n ↕<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ↕<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ↕<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ↕<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mo>\n \n \n ⇕<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ⇕<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ⇕<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n ⇕<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\big \\updownarrow }{\\Big \\updownarrow }{\\bigg \\updownarrow }{\\Bigg \\updownarrow }\\dots {\\Bigg \\Updownarrow }{\\bigg \\Updownarrow }{\\Big \\Updownarrow }{\\big \\Updownarrow }}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\big \/ \\Big \/ \\bigg \/ \\Bigg \/ \\dots \\Bigg\\backslash \\bigg\\backslash \\Big\\backslash \\big\\backslash", "type": "tex", "mml": "\n \n \n \n \n \n \/<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n \/<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n \/<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n \/<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mo>\n \n \n \\<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n \\<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n \\<\/mo>\n <\/mrow>\n <\/mrow>\n \n \n \\<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\big \/}{\\Big \/}{\\bigg \/}{\\Bigg \/}\\dots {\\Bigg \\backslash }{\\bigg \\backslash }{\\Big \\backslash }{\\big \\backslash }}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "x^2 + y^2 + z^2 = 1 \\,", "type": "tex", "mml": "\n \n \n \n \n x<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n +<\/mo>\n \n y<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n +<\/mo>\n \n z<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n =<\/mo>\n 1<\/mn>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle x^{2}+y^{2}+z^{2}=1\\,}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "x^2 + y^2 + z^2 = 1 \\,", "type": "tex", "mml": "\n \n \n \n \n x<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n +<\/mo>\n \n y<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n +<\/mo>\n \n z<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n =<\/mo>\n 1<\/mn>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle x^{2}+y^{2}+z^{2}=1\\,}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\Alpha \\Beta \\Gamma \\Delta \\Epsilon \\Zeta \\Eta \\Theta \\!", "type": "tex", "mml": "\n \n \n \n \n A<\/mi>\n <\/mrow>\n \n B<\/mi>\n <\/mrow>\n Γ<\/mi>\n Δ<\/mi>\n \n E<\/mi>\n <\/mrow>\n \n Z<\/mi>\n <\/mrow>\n \n H<\/mi>\n <\/mrow>\n Θ<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\Iota \\Kappa \\Lambda \\Mu \\Nu \\Xi \\Pi \\Rho \\!", "type": "tex", "mml": "\n \n \n \n \n I<\/mi>\n <\/mrow>\n \n K<\/mi>\n <\/mrow>\n Λ<\/mi>\n \n M<\/mi>\n <\/mrow>\n \n N<\/mi>\n <\/mrow>\n Ξ<\/mi>\n Π<\/mi>\n \n P<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathrm {I} \\mathrm {K} \\Lambda \\mathrm {M} \\mathrm {N} \\Xi \\Pi \\mathrm {P} \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\Sigma \\Tau \\Upsilon \\Phi \\Chi \\Psi \\Omega \\!", "type": "tex", "mml": "\n \n \n \n Σ<\/mi>\n \n T<\/mi>\n <\/mrow>\n Υ<\/mi>\n Φ<\/mi>\n \n X<\/mi>\n <\/mrow>\n Ψ<\/mi>\n Ω<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\alpha \\beta \\gamma \\delta \\epsilon \\zeta \\eta \\theta \\!", "type": "tex", "mml": "\n \n \n \n α<\/mi>\n β<\/mi>\n γ<\/mi>\n δ<\/mi>\n ϵ<\/mi>\n ζ<\/mi>\n η<\/mi>\n θ<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\alpha \\beta \\gamma \\delta \\epsilon \\zeta \\eta \\theta \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\iota \\kappa \\lambda \\mu \\nu \\xi \\pi \\rho \\!", "type": "tex", "mml": "\n \n \n \n ι<\/mi>\n κ<\/mi>\n λ<\/mi>\n μ<\/mi>\n ν<\/mi>\n ξ<\/mi>\n π<\/mi>\n ρ<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\iota \\kappa \\lambda \\mu \\nu \\xi \\pi \\rho \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sigma \\tau \\upsilon \\phi \\chi \\psi \\omega \\!", "type": "tex", "mml": "\n \n \n \n σ<\/mi>\n τ<\/mi>\n υ<\/mi>\n ϕ<\/mi>\n χ<\/mi>\n ψ<\/mi>\n ω<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\sigma \\tau \\upsilon \\phi \\chi \\psi \\omega \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\varepsilon \\digamma \\varkappa \\varpi \\!", "type": "tex", "mml": "\n \n \n \n ε<\/mi>\n ϝ<\/mi>\n ϰ<\/mi>\n ϖ<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\varepsilon \\digamma \\varkappa \\varpi \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\varrho \\varsigma \\vartheta \\varphi \\!", "type": "tex", "mml": "\n \n \n \n ϱ<\/mi>\n ς<\/mi>\n ϑ<\/mi>\n φ<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\varrho \\varsigma \\vartheta \\varphi \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\aleph \\beth \\gimel \\daleth \\!", "type": "tex", "mml": "\n \n \n \n <\/mi>\n <\/mi>\n <\/mi>\n <\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\aleph \\beth \\gimel \\daleth \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathbb{ABCDEFGHI} \\!", "type": "tex", "mml": "\n \n \n \n \n A<\/mi>\n B<\/mi>\n C<\/mi>\n D<\/mi>\n E<\/mi>\n F<\/mi>\n G<\/mi>\n H<\/mi>\n I<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathbb {ABCDEFGHI} \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathbb{JKLMNOPQR} \\!", "type": "tex", "mml": "\n \n \n \n \n J<\/mi>\n K<\/mi>\n L<\/mi>\n M<\/mi>\n N<\/mi>\n O<\/mi>\n P<\/mi>\n Q<\/mi>\n R<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathbb {JKLMNOPQR} \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathbb{STUVWXYZ} \\!", "type": "tex", "mml": "\n \n \n \n \n S<\/mi>\n T<\/mi>\n U<\/mi>\n V<\/mi>\n W<\/mi>\n X<\/mi>\n Y<\/mi>\n Z<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathbb {STUVWXYZ} \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathbf{ABCDEFGHI} \\!", "type": "tex", "mml": "\n \n \n \n \n A<\/mi>\n B<\/mi>\n C<\/mi>\n D<\/mi>\n E<\/mi>\n F<\/mi>\n G<\/mi>\n H<\/mi>\n I<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathbf {ABCDEFGHI} \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathbf{JKLMNOPQR} \\!", "type": "tex", "mml": "\n \n \n \n \n J<\/mi>\n K<\/mi>\n L<\/mi>\n M<\/mi>\n N<\/mi>\n O<\/mi>\n P<\/mi>\n Q<\/mi>\n R<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathbf {JKLMNOPQR} \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathbf{STUVWXYZ} \\!", "type": "tex", "mml": "\n \n \n \n \n S<\/mi>\n T<\/mi>\n U<\/mi>\n V<\/mi>\n W<\/mi>\n X<\/mi>\n Y<\/mi>\n Z<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathbf {STUVWXYZ} \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathbf{abcdefghijklm} \\!", "type": "tex", "mml": "\n \n \n \n \n a<\/mi>\n b<\/mi>\n c<\/mi>\n d<\/mi>\n e<\/mi>\n f<\/mi>\n g<\/mi>\n h<\/mi>\n i<\/mi>\n j<\/mi>\n k<\/mi>\n l<\/mi>\n m<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathbf {abcdefghijklm} \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathbf{nopqrstuvwxyz} \\!", "type": "tex", "mml": "\n \n \n \n \n n<\/mi>\n o<\/mi>\n p<\/mi>\n q<\/mi>\n r<\/mi>\n s<\/mi>\n t<\/mi>\n u<\/mi>\n v<\/mi>\n w<\/mi>\n x<\/mi>\n y<\/mi>\n z<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathbf {nopqrstuvwxyz} \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathbf{0123456789} \\!", "type": "tex", "mml": "\n \n \n \n \n 0123456789<\/mn>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathbf {0123456789} \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\boldsymbol{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta\\Theta} \\!", "type": "tex", "mml": "\n \n \n \n \n \n A<\/mi>\n <\/mrow>\n \n B<\/mi>\n <\/mrow>\n Γ<\/mi>\n Δ<\/mi>\n \n E<\/mi>\n <\/mrow>\n \n Z<\/mi>\n <\/mrow>\n \n H<\/mi>\n <\/mrow>\n Θ<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\boldsymbol {\\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta }}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\boldsymbol{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho} \\!", "type": "tex", "mml": "\n \n \n \n \n \n I<\/mi>\n <\/mrow>\n \n K<\/mi>\n <\/mrow>\n Λ<\/mi>\n \n M<\/mi>\n <\/mrow>\n \n N<\/mi>\n <\/mrow>\n Ξ<\/mi>\n Π<\/mi>\n \n P<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\boldsymbol {\\mathrm {I} \\mathrm {K} \\Lambda \\mathrm {M} \\mathrm {N} \\Xi \\Pi \\mathrm {P} }}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\boldsymbol{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega} \\!", "type": "tex", "mml": "\n \n \n \n \n Σ<\/mi>\n \n T<\/mi>\n <\/mrow>\n Υ<\/mi>\n Φ<\/mi>\n \n X<\/mi>\n <\/mrow>\n Ψ<\/mi>\n Ω<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\boldsymbol {\\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega }}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\boldsymbol{\\alpha\\beta\\gamma\\delta\\epsilon\\zeta\\eta\\theta} \\!", "type": "tex", "mml": "\n \n \n \n \n α<\/mi>\n β<\/mi>\n γ<\/mi>\n δ<\/mi>\n ϵ<\/mi>\n ζ<\/mi>\n η<\/mi>\n θ<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\boldsymbol {\\alpha \\beta \\gamma \\delta \\epsilon \\zeta \\eta \\theta }}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\boldsymbol{\\iota\\kappa\\lambda\\mu\\nu\\xi\\pi\\rho} \\!", "type": "tex", "mml": "\n \n \n \n \n ι<\/mi>\n κ<\/mi>\n λ<\/mi>\n μ<\/mi>\n ν<\/mi>\n ξ<\/mi>\n π<\/mi>\n ρ<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\boldsymbol {\\iota \\kappa \\lambda \\mu \\nu \\xi \\pi \\rho }}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\boldsymbol{\\sigma\\tau\\upsilon\\phi\\chi\\psi\\omega} \\!", "type": "tex", "mml": "\n \n \n \n \n σ<\/mi>\n τ<\/mi>\n υ<\/mi>\n ϕ<\/mi>\n χ<\/mi>\n ψ<\/mi>\n ω<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\boldsymbol {\\sigma \\tau \\upsilon \\phi \\chi \\psi \\omega }}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\boldsymbol{\\varepsilon\\digamma\\varkappa\\varpi} \\!", "type": "tex", "mml": "\n \n \n \n \n ε<\/mi>\n ϝ<\/mi>\n ϰ<\/mi>\n ϖ<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\boldsymbol {\\varepsilon \\digamma \\varkappa \\varpi }}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\boldsymbol{\\varrho\\varsigma\\vartheta\\varphi} \\!", "type": "tex", "mml": "\n \n \n \n \n ϱ<\/mi>\n ς<\/mi>\n ϑ<\/mi>\n φ<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\boldsymbol {\\varrho \\varsigma \\vartheta \\varphi }}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathit{0123456789} \\!", "type": "tex", "mml": "\n \n \n \n \n \n 0123456789<\/mn>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathit {0123456789}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathit{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta\\Theta} \\!", "type": "tex", "mml": "\n \n \n \n \n \n \n A<\/mi>\n <\/mrow>\n \n B<\/mi>\n <\/mrow>\n Γ<\/mi>\n Δ<\/mi>\n \n E<\/mi>\n <\/mrow>\n \n Z<\/mi>\n <\/mrow>\n \n H<\/mi>\n <\/mrow>\n Θ<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathit {\\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta }}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathit{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho} \\!", "type": "tex", "mml": "\n \n \n \n \n \n \n I<\/mi>\n <\/mrow>\n \n K<\/mi>\n <\/mrow>\n Λ<\/mi>\n \n M<\/mi>\n <\/mrow>\n \n N<\/mi>\n <\/mrow>\n Ξ<\/mi>\n Π<\/mi>\n \n P<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathit {\\mathrm {I} \\mathrm {K} \\Lambda \\mathrm {M} \\mathrm {N} \\Xi \\Pi \\mathrm {P} }}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathit{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega} \\!", "type": "tex", "mml": "\n \n \n \n \n \n Σ<\/mi>\n \n T<\/mi>\n <\/mrow>\n Υ<\/mi>\n Φ<\/mi>\n \n X<\/mi>\n <\/mrow>\n Ψ<\/mi>\n Ω<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathit {\\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega }}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathrm{ABCDEFGHI} \\!", "type": "tex", "mml": "\n \n \n \n \n A<\/mi>\n B<\/mi>\n C<\/mi>\n D<\/mi>\n E<\/mi>\n F<\/mi>\n G<\/mi>\n H<\/mi>\n I<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathrm {ABCDEFGHI} \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathrm{JKLMNOPQR} \\!", "type": "tex", "mml": "\n \n \n \n \n J<\/mi>\n K<\/mi>\n L<\/mi>\n M<\/mi>\n N<\/mi>\n O<\/mi>\n P<\/mi>\n Q<\/mi>\n R<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathrm {JKLMNOPQR} \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathrm{STUVWXYZ} \\!", "type": "tex", "mml": "\n \n \n \n \n S<\/mi>\n T<\/mi>\n U<\/mi>\n V<\/mi>\n W<\/mi>\n X<\/mi>\n Y<\/mi>\n Z<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathrm {STUVWXYZ} \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathrm{abcdefghijklm} \\!", "type": "tex", "mml": "\n \n \n \n \n a<\/mi>\n b<\/mi>\n c<\/mi>\n d<\/mi>\n e<\/mi>\n f<\/mi>\n g<\/mi>\n h<\/mi>\n i<\/mi>\n j<\/mi>\n k<\/mi>\n l<\/mi>\n m<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathrm {abcdefghijklm} \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathrm{nopqrstuvwxyz} \\!", "type": "tex", "mml": "\n \n \n \n \n n<\/mi>\n o<\/mi>\n p<\/mi>\n q<\/mi>\n r<\/mi>\n s<\/mi>\n t<\/mi>\n u<\/mi>\n v<\/mi>\n w<\/mi>\n x<\/mi>\n y<\/mi>\n z<\/mi>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathrm {nopqrstuvwxyz} \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathrm{0123456789} \\!", "type": "tex", "mml": "\n \n \n \n \n 0123456789<\/mn>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\mathrm {0123456789} \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathsf{ABCDEFGHI} \\!", "type": "tex", "mml": "\n \n \n \n \n \n A<\/mi>\n B<\/mi>\n C<\/mi>\n D<\/mi>\n E<\/mi>\n F<\/mi>\n G<\/mi>\n H<\/mi>\n I<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathsf {ABCDEFGHI}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathsf{JKLMNOPQR} \\!", "type": "tex", "mml": "\n \n \n \n \n \n J<\/mi>\n K<\/mi>\n L<\/mi>\n M<\/mi>\n N<\/mi>\n O<\/mi>\n P<\/mi>\n Q<\/mi>\n R<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathsf {JKLMNOPQR}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathsf{STUVWXYZ} \\!", "type": "tex", "mml": "\n \n \n \n \n \n S<\/mi>\n T<\/mi>\n U<\/mi>\n V<\/mi>\n W<\/mi>\n X<\/mi>\n Y<\/mi>\n Z<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathsf {STUVWXYZ}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathsf{abcdefghijklm} \\!", "type": "tex", "mml": "\n \n \n \n \n \n a<\/mi>\n b<\/mi>\n c<\/mi>\n d<\/mi>\n e<\/mi>\n f<\/mi>\n g<\/mi>\n h<\/mi>\n i<\/mi>\n j<\/mi>\n k<\/mi>\n l<\/mi>\n m<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathsf {abcdefghijklm}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathsf{nopqrstuvwxyz} \\!", "type": "tex", "mml": "\n \n \n \n \n \n n<\/mi>\n o<\/mi>\n p<\/mi>\n q<\/mi>\n r<\/mi>\n s<\/mi>\n t<\/mi>\n u<\/mi>\n v<\/mi>\n w<\/mi>\n x<\/mi>\n y<\/mi>\n z<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathsf {nopqrstuvwxyz}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathsf{0123456789} \\!", "type": "tex", "mml": "\n \n \n \n \n \n 0123456789<\/mn>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathsf {0123456789}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathsf{\\Alpha \\Beta \\Gamma \\Delta \\Epsilon \\Zeta \\Eta \\Theta} \\!", "type": "tex", "mml": "\n \n \n \n \n \n \n A<\/mi>\n <\/mrow>\n \n B<\/mi>\n <\/mrow>\n Γ<\/mi>\n Δ<\/mi>\n \n E<\/mi>\n <\/mrow>\n \n Z<\/mi>\n <\/mrow>\n \n H<\/mi>\n <\/mrow>\n Θ<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathsf {\\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta }}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathsf{\\Iota \\Kappa \\Lambda \\Mu \\Nu \\Xi \\Pi \\Rho} \\!", "type": "tex", "mml": "\n \n \n \n \n \n \n I<\/mi>\n <\/mrow>\n \n K<\/mi>\n <\/mrow>\n Λ<\/mi>\n \n M<\/mi>\n <\/mrow>\n \n N<\/mi>\n <\/mrow>\n Ξ<\/mi>\n Π<\/mi>\n \n P<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathsf {\\mathrm {I} \\mathrm {K} \\Lambda \\mathrm {M} \\mathrm {N} \\Xi \\Pi \\mathrm {P} }}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathsf{\\Sigma \\Tau \\Upsilon \\Phi \\Chi \\Psi \\Omega}\\!", "type": "tex", "mml": "\n \n \n \n \n \n Σ<\/mi>\n \n T<\/mi>\n <\/mrow>\n Υ<\/mi>\n Φ<\/mi>\n \n X<\/mi>\n <\/mrow>\n Ψ<\/mi>\n Ω<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathsf {\\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega }}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathcal{ABCDEFGHI} \\!", "type": "tex", "mml": "\n \n \n \n \n \n A<\/mi>\n B<\/mi>\n C<\/mi>\n D<\/mi>\n E<\/mi>\n F<\/mi>\n G<\/mi>\n H<\/mi>\n I<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathcal {ABCDEFGHI}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathcal{JKLMNOPQR} \\!", "type": "tex", "mml": "\n \n \n \n \n \n J<\/mi>\n K<\/mi>\n L<\/mi>\n M<\/mi>\n N<\/mi>\n O<\/mi>\n P<\/mi>\n Q<\/mi>\n R<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathcal {JKLMNOPQR}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathcal{STUVWXYZ} \\!", "type": "tex", "mml": "\n \n \n \n \n \n S<\/mi>\n T<\/mi>\n U<\/mi>\n V<\/mi>\n W<\/mi>\n X<\/mi>\n Y<\/mi>\n Z<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathcal {STUVWXYZ}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathfrak{ABCDEFGHI} \\!", "type": "tex", "mml": "\n \n \n \n \n \n A<\/mi>\n B<\/mi>\n C<\/mi>\n D<\/mi>\n E<\/mi>\n F<\/mi>\n G<\/mi>\n H<\/mi>\n I<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathfrak {ABCDEFGHI}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathfrak{JKLMNOPQR} \\!", "type": "tex", "mml": "\n \n \n \n \n \n J<\/mi>\n K<\/mi>\n L<\/mi>\n M<\/mi>\n N<\/mi>\n O<\/mi>\n P<\/mi>\n Q<\/mi>\n R<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathfrak {JKLMNOPQR}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathfrak{STUVWXYZ} \\!", "type": "tex", "mml": "\n \n \n \n \n \n S<\/mi>\n T<\/mi>\n U<\/mi>\n V<\/mi>\n W<\/mi>\n X<\/mi>\n Y<\/mi>\n Z<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathfrak {STUVWXYZ}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathfrak{abcdefghijklm} \\!", "type": "tex", "mml": "\n \n \n \n \n \n a<\/mi>\n b<\/mi>\n c<\/mi>\n d<\/mi>\n e<\/mi>\n f<\/mi>\n g<\/mi>\n h<\/mi>\n i<\/mi>\n j<\/mi>\n k<\/mi>\n l<\/mi>\n m<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathfrak {abcdefghijklm}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathfrak{nopqrstuvwxyz} \\!", "type": "tex", "mml": "\n \n \n \n \n \n n<\/mi>\n o<\/mi>\n p<\/mi>\n q<\/mi>\n r<\/mi>\n s<\/mi>\n t<\/mi>\n u<\/mi>\n v<\/mi>\n w<\/mi>\n x<\/mi>\n y<\/mi>\n z<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathfrak {nopqrstuvwxyz}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathfrak{0123456789} \\!", "type": "tex", "mml": "\n \n \n \n \n \n 0123456789<\/mn>\n <\/mrow>\n <\/mrow>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathfrak {0123456789}}\\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "x y z", "type": "tex", "mml": "\n \n \n \n x<\/mi>\n y<\/mi>\n z<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle xyz}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\text{x y z}", "type": "tex", "mml": "\n \n \n \n \n x y z<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\text{x y z}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\text{if} n \\text{is even}", "type": "tex", "mml": "\n \n \n \n \n if<\/mtext>\n <\/mrow>\n n<\/mi>\n \n is even<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\text{if}}n{\\text{is even}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\text{if }n\\text{ is even}", "type": "tex", "mml": "\n \n \n \n \n if <\/mtext>\n <\/mrow>\n n<\/mi>\n \n  is even<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\text{if }}n{\\text{ is even}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\text{if}~n\\ \\text{is even}", "type": "tex", "mml": "\n \n \n \n \n if<\/mtext>\n <\/mrow>\n  <\/mtext>\n n<\/mi>\n  <\/mtext>\n \n is even<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\text{if}}~n\\ {\\text{is even}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "{\\color{Blue}x^2}+{\\color{YellowOrange}2x}-{\\color{OliveGreen}1}", "type": "tex", "mml": "\n \n \n \n \n \n \n x<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n +<\/mo>\n \n \n 2<\/mn>\n x<\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mo>\n \n \n 1<\/mn>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\color {Blue}x^{2}}+{\\color {YellowOrange}2x}-{\\color {OliveGreen}1}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "x_{1,2}=\\frac{-b\\pm\\sqrt{\\color{Red}b^2-4ac}}{2a}", "type": "tex", "mml": "\n \n \n \n \n x<\/mi>\n \n 1<\/mn>\n ,<\/mo>\n 2<\/mn>\n <\/mrow>\n <\/msub>\n =<\/mo>\n \n \n \n <\/mo>\n b<\/mi>\n ±<\/mo>\n \n \n \n \n b<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mo>\n 4<\/mn>\n a<\/mi>\n c<\/mi>\n <\/mstyle>\n <\/msqrt>\n <\/mrow>\n <\/mrow>\n \n 2<\/mn>\n a<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle x_{1,2}={\\frac {-b\\pm {\\sqrt {\\color {Red}b^{2}-4ac}}}{2a}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Apricot}\\text{Apricot}", "type": "tex", "mml": "\n \n \n \n \n \n Apricot<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Apricot}{\\text{Apricot}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Aquamarine}\\text{Aquamarine}", "type": "tex", "mml": "\n \n \n \n \n \n Aquamarine<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Aquamarine}{\\text{Aquamarine}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Bittersweet}\\text{Bittersweet}", "type": "tex", "mml": "\n \n \n \n \n \n Bittersweet<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Bittersweet}{\\text{Bittersweet}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Black}\\text{Black}", "type": "tex", "mml": "\n \n \n \n \n \n Black<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Black}{\\text{Black}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Blue}\\text{Blue}", "type": "tex", "mml": "\n \n \n \n \n \n Blue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Blue}{\\text{Blue}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{BlueGreen}\\text{BlueGreen}", "type": "tex", "mml": "\n \n \n \n \n \n BlueGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {BlueGreen}{\\text{BlueGreen}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{BlueViolet}\\text{BlueViolet}", "type": "tex", "mml": "\n \n \n \n \n \n BlueViolet<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {BlueViolet}{\\text{BlueViolet}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{BrickRed}\\text{BrickRed}", "type": "tex", "mml": "\n \n \n \n \n \n BrickRed<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {BrickRed}{\\text{BrickRed}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Brown}\\text{Brown}", "type": "tex", "mml": "\n \n \n \n \n \n Brown<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Brown}{\\text{Brown}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{BurntOrange}\\text{BurntOrange}", "type": "tex", "mml": "\n \n \n \n \n \n BurntOrange<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {BurntOrange}{\\text{BurntOrange}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{CadetBlue}\\text{CadetBlue}", "type": "tex", "mml": "\n \n \n \n \n \n CadetBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {CadetBlue}{\\text{CadetBlue}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{CarnationPink}\\text{CarnationPink}", "type": "tex", "mml": "\n \n \n \n \n \n CarnationPink<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {CarnationPink}{\\text{CarnationPink}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Cerulean}\\text{Cerulean}", "type": "tex", "mml": "\n \n \n \n \n \n Cerulean<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Cerulean}{\\text{Cerulean}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{CornflowerBlue}\\text{CornflowerBlue}", "type": "tex", "mml": "\n \n \n \n \n \n CornflowerBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {CornflowerBlue}{\\text{CornflowerBlue}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Cyan}\\text{Cyan}", "type": "tex", "mml": "\n \n \n \n \n \n Cyan<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Cyan}{\\text{Cyan}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Dandelion}\\text{Dandelion}", "type": "tex", "mml": "\n \n \n \n \n \n Dandelion<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Dandelion}{\\text{Dandelion}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{DarkOrchid}\\text{DarkOrchid}", "type": "tex", "mml": "\n \n \n \n \n \n DarkOrchid<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {DarkOrchid}{\\text{DarkOrchid}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Emerald}\\text{Emerald}", "type": "tex", "mml": "\n \n \n \n \n \n Emerald<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Emerald}{\\text{Emerald}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{ForestGreen}\\text{ForestGreen}", "type": "tex", "mml": "\n \n \n \n \n \n ForestGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {ForestGreen}{\\text{ForestGreen}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Fuchsia}\\text{Fuchsia}", "type": "tex", "mml": "\n \n \n \n \n \n Fuchsia<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Fuchsia}{\\text{Fuchsia}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Goldenrod}\\text{Goldenrod}", "type": "tex", "mml": "\n \n \n \n \n \n Goldenrod<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Goldenrod}{\\text{Goldenrod}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Gray}\\text{Gray}", "type": "tex", "mml": "\n \n \n \n \n \n Gray<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Gray}{\\text{Gray}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Green}\\text{Green}", "type": "tex", "mml": "\n \n \n \n \n \n Green<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Green}{\\text{Green}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{GreenYellow}\\text{GreenYellow}", "type": "tex", "mml": "\n \n \n \n \n \n GreenYellow<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {GreenYellow}{\\text{GreenYellow}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{JungleGreen}\\text{JungleGreen}", "type": "tex", "mml": "\n \n \n \n \n \n JungleGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {JungleGreen}{\\text{JungleGreen}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Lavender}\\text{Lavender}", "type": "tex", "mml": "\n \n \n \n \n \n Lavender<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Lavender}{\\text{Lavender}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{LimeGreen}\\text{LimeGreen}", "type": "tex", "mml": "\n \n \n \n \n \n LimeGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {LimeGreen}{\\text{LimeGreen}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Magenta}\\text{Magenta}", "type": "tex", "mml": "\n \n \n \n \n \n Magenta<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Magenta}{\\text{Magenta}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Mahogany}\\text{Mahogany}", "type": "tex", "mml": "\n \n \n \n \n \n Mahogany<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Mahogany}{\\text{Mahogany}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Maroon}\\text{Maroon}", "type": "tex", "mml": "\n \n \n \n \n \n Maroon<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Maroon}{\\text{Maroon}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Melon}\\text{Melon}", "type": "tex", "mml": "\n \n \n \n \n \n Melon<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Melon}{\\text{Melon}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{MidnightBlue}\\text{MidnightBlue}", "type": "tex", "mml": "\n \n \n \n \n \n MidnightBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {MidnightBlue}{\\text{MidnightBlue}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Mulberry}\\text{Mulberry}", "type": "tex", "mml": "\n \n \n \n \n \n Mulberry<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Mulberry}{\\text{Mulberry}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{NavyBlue}\\text{NavyBlue}", "type": "tex", "mml": "\n \n \n \n \n \n NavyBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {NavyBlue}{\\text{NavyBlue}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{OliveGreen}\\text{OliveGreen}", "type": "tex", "mml": "\n \n \n \n \n \n OliveGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {OliveGreen}{\\text{OliveGreen}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Orange}\\text{Orange}", "type": "tex", "mml": "\n \n \n \n \n \n Orange<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Orange}{\\text{Orange}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{OrangeRed}\\text{OrangeRed}", "type": "tex", "mml": "\n \n \n \n \n \n OrangeRed<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {OrangeRed}{\\text{OrangeRed}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Orchid}\\text{Orchid}", "type": "tex", "mml": "\n \n \n \n \n \n Orchid<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Orchid}{\\text{Orchid}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Peach}\\text{Peach}", "type": "tex", "mml": "\n \n \n \n \n \n Peach<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Peach}{\\text{Peach}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Periwinkle}\\text{Periwinkle}", "type": "tex", "mml": "\n \n \n \n \n \n Periwinkle<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Periwinkle}{\\text{Periwinkle}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{PineGreen}\\text{PineGreen}", "type": "tex", "mml": "\n \n \n \n \n \n PineGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {PineGreen}{\\text{PineGreen}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Plum}\\text{Plum}", "type": "tex", "mml": "\n \n \n \n \n \n Plum<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Plum}{\\text{Plum}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{ProcessBlue}\\text{ProcessBlue}", "type": "tex", "mml": "\n \n \n \n \n \n ProcessBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {ProcessBlue}{\\text{ProcessBlue}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Purple}\\text{Purple}", "type": "tex", "mml": "\n \n \n \n \n \n Purple<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Purple}{\\text{Purple}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{RawSienna}\\text{RawSienna}", "type": "tex", "mml": "\n \n \n \n \n \n RawSienna<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {RawSienna}{\\text{RawSienna}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Red}\\text{Red}", "type": "tex", "mml": "\n \n \n \n \n \n Red<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Red}{\\text{Red}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{RedOrange}\\text{RedOrange}", "type": "tex", "mml": "\n \n \n \n \n \n RedOrange<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {RedOrange}{\\text{RedOrange}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{RedViolet}\\text{RedViolet}", "type": "tex", "mml": "\n \n \n \n \n \n RedViolet<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {RedViolet}{\\text{RedViolet}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Rhodamine}\\text{Rhodamine}", "type": "tex", "mml": "\n \n \n \n \n \n Rhodamine<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Rhodamine}{\\text{Rhodamine}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{RoyalBlue}\\text{RoyalBlue}", "type": "tex", "mml": "\n \n \n \n \n \n RoyalBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {RoyalBlue}{\\text{RoyalBlue}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{RoyalPurple}\\text{RoyalPurple}", "type": "tex", "mml": "\n \n \n \n \n \n RoyalPurple<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {RoyalPurple}{\\text{RoyalPurple}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{RubineRed}\\text{RubineRed}", "type": "tex", "mml": "\n \n \n \n \n \n RubineRed<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {RubineRed}{\\text{RubineRed}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Salmon}\\text{Salmon}", "type": "tex", "mml": "\n \n \n \n \n \n Salmon<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Salmon}{\\text{Salmon}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{SeaGreen}\\text{SeaGreen}", "type": "tex", "mml": "\n \n \n \n \n \n SeaGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {SeaGreen}{\\text{SeaGreen}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Sepia}\\text{Sepia}", "type": "tex", "mml": "\n \n \n \n \n \n Sepia<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Sepia}{\\text{Sepia}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{SkyBlue}\\text{SkyBlue}", "type": "tex", "mml": "\n \n \n \n \n \n SkyBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {SkyBlue}{\\text{SkyBlue}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{SpringGreen}\\text{SpringGreen}", "type": "tex", "mml": "\n \n \n \n \n \n SpringGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {SpringGreen}{\\text{SpringGreen}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Tan}\\text{Tan}", "type": "tex", "mml": "\n \n \n \n \n \n Tan<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Tan}{\\text{Tan}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{TealBlue}\\text{TealBlue}", "type": "tex", "mml": "\n \n \n \n \n \n TealBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {TealBlue}{\\text{TealBlue}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\color{Thistle}\\text{Thistle}", "type": "tex", "mml": "\n \n \n \n \n \n Thistle<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\color {Thistle}{\\text{Thistle}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "a \\qquad b", "type": "tex", "mml": "\n \n \n \n a<\/mi>\n \n b<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle a\\qquad b}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "a \\quad b", "type": "tex", "mml": "\n \n \n \n a<\/mi>\n \n b<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle a\\quad b}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "a\\ b", "type": "tex", "mml": "\n \n \n \n a<\/mi>\n  <\/mtext>\n b<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle a\\ b}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "a \\mbox{ } b", "type": "tex", "mml": "\n \n \n \n a<\/mi>\n \n \n  <\/mtext>\n <\/mstyle>\n <\/mrow>\n b<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle a{\\mbox{ }}b}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "a\\;b", "type": "tex", "mml": "\n \n \n \n a<\/mi>\n \n b<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle a\\;b}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "a\\,b", "type": "tex", "mml": "\n \n \n \n a<\/mi>\n \n b<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle a\\,b}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "ab", "type": "tex", "mml": "\n \n \n \n a<\/mi>\n b<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle ab}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\mathit{ab}", "type": "tex", "mml": "\n \n \n \n \n \n a<\/mi>\n b<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathit {ab}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "a\\!b", "type": "tex", "mml": "\n \n \n \n a<\/mi>\n \n b<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle a\\!b}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots", "type": "tex", "mml": "\n \n \n \n 0<\/mn>\n +<\/mo>\n 1<\/mn>\n +<\/mo>\n 2<\/mn>\n +<\/mo>\n 3<\/mn>\n +<\/mo>\n 4<\/mn>\n +<\/mo>\n 5<\/mn>\n +<\/mo>\n 6<\/mn>\n +<\/mo>\n 7<\/mn>\n +<\/mo>\n 8<\/mn>\n +<\/mo>\n 9<\/mn>\n +<\/mo>\n 10<\/mn>\n +<\/mo>\n 11<\/mn>\n +<\/mo>\n 12<\/mn>\n +<\/mo>\n 13<\/mn>\n +<\/mo>\n 14<\/mn>\n +<\/mo>\n 15<\/mn>\n +<\/mo>\n 16<\/mn>\n +<\/mo>\n 17<\/mn>\n +<\/mo>\n 18<\/mn>\n +<\/mo>\n 19<\/mn>\n +<\/mo>\n 20<\/mn>\n +<\/mo>\n <\/mo>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle 0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots }<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "{0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots}", "type": "tex", "mml": "\n \n \n \n \n 0<\/mn>\n +<\/mo>\n 1<\/mn>\n +<\/mo>\n 2<\/mn>\n +<\/mo>\n 3<\/mn>\n +<\/mo>\n 4<\/mn>\n +<\/mo>\n 5<\/mn>\n +<\/mo>\n 6<\/mn>\n +<\/mo>\n 7<\/mn>\n +<\/mo>\n 8<\/mn>\n +<\/mo>\n 9<\/mn>\n +<\/mo>\n 10<\/mn>\n +<\/mo>\n 11<\/mn>\n +<\/mo>\n 12<\/mn>\n +<\/mo>\n 13<\/mn>\n +<\/mo>\n 14<\/mn>\n +<\/mo>\n 15<\/mn>\n +<\/mo>\n 16<\/mn>\n +<\/mo>\n 17<\/mn>\n +<\/mo>\n 18<\/mn>\n +<\/mo>\n 19<\/mn>\n +<\/mo>\n 20<\/mn>\n +<\/mo>\n <\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots }}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\int_{-N}^{N} e^x\\, dx", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n <\/mo>\n N<\/mi>\n <\/mrow>\n \n N<\/mi>\n <\/mrow>\n <\/msubsup>\n \n e<\/mi>\n \n x<\/mi>\n <\/mrow>\n <\/msup>\n \n d<\/mi>\n x<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\int _{-N}^{N}e^{x}\\,dx}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sum_{i=0}^\\infty 2^{-i}", "type": "inline-tex", "mml": "\n \n \n \n \n <\/mo>\n \n i<\/mi>\n =<\/mo>\n 0<\/mn>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n <\/munderover>\n \n 2<\/mn>\n \n <\/mo>\n i<\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n {\\textstyle \\sum _{i=0}^{\\infty }2^{-i}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sum_{i=0}^\\infty 2^{-i}", "type": "inline-tex", "mml": "\n \n \n \n \n <\/mo>\n \n i<\/mi>\n =<\/mo>\n 0<\/mn>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n <\/munderover>\n \n 2<\/mn>\n \n <\/mo>\n i<\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n {\\textstyle \\sum _{i=0}^{\\infty }2^{-i}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\text{geometric series:}\\quad \\begin{align} \\sum_{i=0}^\\infty 2^{-i}=2 \\end{align}", "type": "tex", "mml": "\n \n \n \n \n geometric series:<\/mtext>\n <\/mrow>\n \n \n \n \n \n \n <\/mo>\n \n i<\/mi>\n =<\/mo>\n 0<\/mn>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n <\/munderover>\n \n 2<\/mn>\n \n <\/mo>\n i<\/mi>\n <\/mrow>\n <\/msup>\n =<\/mo>\n 2<\/mn>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\text{geometric series:}}\\quad {\\begin{aligned}\\sum _{i=0}^{\\infty }2^{-i}=2\\end{aligned}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\text{geometric series:}\\quad \\sum_{i=0}^\\infty 2^{-i}=2 ", "type": "tex", "mml": "\n \n \n \n \n geometric series:<\/mtext>\n <\/mrow>\n \n \n <\/mo>\n \n i<\/mi>\n =<\/mo>\n 0<\/mn>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n <\/munderover>\n \n 2<\/mn>\n \n <\/mo>\n i<\/mi>\n <\/mrow>\n <\/msup>\n =<\/mo>\n 2<\/mn>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\text{geometric series:}}\\quad \\sum _{i=0}^{\\infty }2^{-i}=2}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sum_{i=0}^\\infty 2^{-i}", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n i<\/mi>\n =<\/mo>\n 0<\/mn>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n <\/munderover>\n \n 2<\/mn>\n \n <\/mo>\n i<\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\sum _{i=0}^{\\infty }2^{-i}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sum_{i=0}^\\infty 2^{-i}", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n i<\/mi>\n =<\/mo>\n 0<\/mn>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n <\/munderover>\n \n 2<\/mn>\n \n <\/mo>\n i<\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\sum _{i=0}^{\\infty }2^{-i}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\text{geometric series:}\\quad \\sum_{i=0}^\\infty 2^{-i}=2 ", "type": "tex", "mml": "\n \n \n \n \n geometric series:<\/mtext>\n <\/mrow>\n \n \n <\/mo>\n \n i<\/mi>\n =<\/mo>\n 0<\/mn>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n <\/munderover>\n \n 2<\/mn>\n \n <\/mo>\n i<\/mi>\n <\/mrow>\n <\/msup>\n =<\/mo>\n 2<\/mn>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\text{geometric series:}}\\quad \\sum _{i=0}^{\\infty }2^{-i}=2}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\text{geometric series:}\\quad \\sum_{i=0}^\\infty 2^{-i}=2 ", "type": "tex", "mml": "\n \n \n \n \n geometric series:<\/mtext>\n <\/mrow>\n \n \n <\/mo>\n \n i<\/mi>\n =<\/mo>\n 0<\/mn>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n <\/munderover>\n \n 2<\/mn>\n \n <\/mo>\n i<\/mi>\n <\/mrow>\n <\/msup>\n =<\/mo>\n 2<\/mn>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\text{geometric series:}}\\quad \\sum _{i=0}^{\\infty }2^{-i}=2}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\iint", "type": "tex", "mml": "\n \n \n \n <\/mo>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\iint }<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\oint", "type": "tex", "mml": "\n \n \n \n <\/mo>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\oint }<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\iint\\limits_{S}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\subset\\!\\supset \\mathbf D \\cdot \\mathrm{d}\\mathbf A", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n S<\/mi>\n <\/mrow>\n <\/munder>\n \n \n \n \n \n \n \n \n \n \n \n <\/mo>\n \n <\/mo>\n \n D<\/mi>\n <\/mrow>\n <\/mo>\n \n d<\/mi>\n <\/mrow>\n \n A<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\iint \\limits _{S}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\subset \\!\\supset \\mathbf {D} \\cdot \\mathrm {d} \\mathbf {A} }<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\int\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc\\,\\,\\mathbf D\\cdot\\mathrm{d}\\mathbf A", "type": "tex", "mml": "\n \n \n \n <\/mo>\n \n \n \n \n \n <\/mo>\n \n <\/mi>\n V<\/mi>\n <\/mrow>\n <\/msub>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n <\/mo>\n \n \n \n D<\/mi>\n <\/mrow>\n <\/mo>\n \n d<\/mi>\n <\/mrow>\n \n A<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\int \\!\\!\\!\\!\\int _{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc \\,\\,\\mathbf {D} \\cdot \\mathrm {d} \\mathbf {A} }<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\int\\!\\!\\!\\!\\!\\int\\!\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\subset\\!\\supset \\mathbf D\\cdot\\mathrm{d}\\mathbf A", "type": "tex", "mml": "\n \n \n \n <\/mo>\n \n \n \n \n \n <\/mo>\n \n \n \n \n \n \n <\/mo>\n \n <\/mi>\n V<\/mi>\n <\/mrow>\n <\/msub>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n <\/mo>\n \n <\/mo>\n \n D<\/mi>\n <\/mrow>\n <\/mo>\n \n d<\/mi>\n <\/mrow>\n \n A<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\int \\!\\!\\!\\!\\!\\int \\!\\!\\!\\!\\!\\int _{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\subset \\!\\supset \\mathbf {D} \\cdot \\mathrm {d} \\mathbf {A} }<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\int\\!\\!\\!\\!\\!\\int\\!\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc\\,\\,\\mathbf D\\;\\cdot\\mathrm{d}\\mathbf A", "type": "tex", "mml": "\n \n \n \n <\/mo>\n \n \n \n \n \n <\/mo>\n \n \n \n \n \n \n <\/mo>\n \n <\/mi>\n V<\/mi>\n <\/mrow>\n <\/msub>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n <\/mo>\n \n \n \n D<\/mi>\n <\/mrow>\n \n <\/mo>\n \n d<\/mi>\n <\/mrow>\n \n A<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\int \\!\\!\\!\\!\\!\\int \\!\\!\\!\\!\\!\\int _{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc \\,\\,\\mathbf {D} \\;\\cdot \\mathrm {d} \\mathbf {A} }<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "{\\scriptstyle S}", "type": "tex", "mml": "\n \n \n \n \n \n S<\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\scriptstyle S}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "( \\nabla \\times \\bold{F} ) \\cdot {\\rm d}\\bold{S} = \\oint_{\\partial S} \\bold{F} \\cdot {\\rm d}\\boldsymbol{\\ell} ", "type": "tex", "mml": "\n \n \n \n (<\/mo>\n <\/mi>\n ×<\/mo>\n \n \n F<\/mi>\n <\/mrow>\n <\/mrow>\n )<\/mo>\n <\/mo>\n \n \n d<\/mi>\n <\/mrow>\n <\/mrow>\n \n \n S<\/mi>\n <\/mrow>\n <\/mrow>\n =<\/mo>\n \n <\/mo>\n \n <\/mi>\n S<\/mi>\n <\/mrow>\n <\/msub>\n \n \n F<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mo>\n \n \n d<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle (\\nabla \\times {\\mathbf {F}})\\cdot {\\rm {d}}{\\mathbf {S}}=\\oint _{\\partial S}{\\mathbf {F}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "{\\scriptstyle S}", "type": "tex", "mml": "\n \n \n \n \n \n S<\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\scriptstyle S}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "( \\nabla \\times \\bold{F} ) \\cdot {\\rm d}\\bold{S} = \\oint_{\\partial S} \\bold{F} \\cdot {\\rm d}\\boldsymbol{\\ell} ", "type": "tex", "mml": "\n \n \n \n (<\/mo>\n <\/mi>\n ×<\/mo>\n \n \n F<\/mi>\n <\/mrow>\n <\/mrow>\n )<\/mo>\n <\/mo>\n \n \n d<\/mi>\n <\/mrow>\n <\/mrow>\n \n \n S<\/mi>\n <\/mrow>\n <\/mrow>\n =<\/mo>\n \n <\/mo>\n \n <\/mi>\n S<\/mi>\n <\/mrow>\n <\/msub>\n \n \n F<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mo>\n \n \n d<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle (\\nabla \\times {\\mathbf {F}})\\cdot {\\rm {d}}{\\mathbf {S}}=\\oint _{\\partial S}{\\mathbf {F}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\oint_C \\bold{B} \\cdot {\\rm d} \\boldsymbol{\\ell} = \\mu_0 ", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n C<\/mi>\n <\/mrow>\n <\/msub>\n \n \n B<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mo>\n \n \n d<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n =<\/mo>\n \n μ<\/mi>\n \n 0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\oint _{C}{\\mathbf {B}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}=\\mu _{0}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "{\\scriptstyle S}", "type": "tex", "mml": "\n \n \n \n \n \n S<\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\scriptstyle S}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\left ( \\bold{J} + \\epsilon_0\\frac{\\partial \\bold{E}}{\\partial t} \\right ) \\cdot {\\rm d}\\bold{S}", "type": "tex", "mml": "\n \n \n \n \n (<\/mo>\n \n \n \n J<\/mi>\n <\/mrow>\n <\/mrow>\n +<\/mo>\n \n ϵ<\/mi>\n \n 0<\/mn>\n <\/mrow>\n <\/msub>\n \n \n \n <\/mi>\n \n \n E<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n \n <\/mi>\n t<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n )<\/mo>\n <\/mrow>\n <\/mo>\n \n \n d<\/mi>\n <\/mrow>\n <\/mrow>\n \n \n S<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\left({\\mathbf {J}}+\\epsilon _{0}{\\frac {\\partial {\\mathbf {E}}}{\\partial t}}\\right)\\cdot {\\rm {d}}{\\mathbf {S}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\oint_{\\partial S} \\bold{B} \\cdot {\\rm d} \\boldsymbol{\\ell} = \\mu_0 ", "type": "tex", "mml": "\n \n \n \n \n \n \n \n <\/mtext>\n \n <\/mstyle>\n <\/mrow>\n \n <\/mrow>\n \n <\/mi>\n S<\/mi>\n <\/mrow>\n <\/msub>\n <\/mo>\n \n \n B<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mo>\n \n \n d<\/mi>\n <\/mrow>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n =<\/mo>\n \n μ<\/mi>\n \n 0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\oint _{\\partial S}{\\mathbf {B}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}=\\mu _{0}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "{\\scriptstyle S}", "type": "tex", "mml": "\n \n \n \n \n \n S<\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\scriptstyle S}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\left ( \\bold{J} + \\epsilon_0\\frac{\\partial \\bold{E}}{\\partial t} \\right ) \\cdot {\\rm d}\\bold{S}", "type": "tex", "mml": "\n \n \n \n \n (<\/mo>\n \n \n \n J<\/mi>\n <\/mrow>\n <\/mrow>\n +<\/mo>\n \n ϵ<\/mi>\n \n 0<\/mn>\n <\/mrow>\n <\/msub>\n \n \n \n <\/mi>\n \n \n E<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n \n <\/mi>\n t<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n )<\/mo>\n <\/mrow>\n <\/mo>\n \n \n d<\/mi>\n <\/mrow>\n <\/mrow>\n \n \n S<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\left({\\mathbf {J}}+\\epsilon _{0}{\\frac {\\partial {\\mathbf {E}}}{\\partial t}}\\right)\\cdot {\\rm {d}}{\\mathbf {S}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\bold{P} = ", "type": "tex", "mml": "\n \n \n \n \n \n P<\/mi>\n <\/mrow>\n <\/mrow>\n =<\/mo>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathbf {P}}=}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "{\\scriptstyle \\partial \\Omega}", "type": "tex", "mml": "\n \n \n \n \n \n <\/mi>\n Ω<\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\scriptstyle \\partial \\Omega }}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\bold{T} \\cdot {\\rm d}^3\\boldsymbol{\\Sigma} = 0", "type": "tex", "mml": "\n \n \n \n \n \n T<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mo>\n \n \n \n d<\/mi>\n <\/mrow>\n <\/mrow>\n \n 3<\/mn>\n <\/mrow>\n <\/msup>\n \n Σ<\/mi>\n <\/mrow>\n =<\/mo>\n 0<\/mn>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathbf {T}}\\cdot {\\rm {d}}^{3}{\\boldsymbol {\\Sigma }}=0}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\bold{P} = ", "type": "tex", "mml": "\n \n \n \n \n \n P<\/mi>\n <\/mrow>\n <\/mrow>\n =<\/mo>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathbf {P}}=}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "{\\scriptstyle \\partial \\Omega}", "type": "tex", "mml": "\n \n \n \n \n \n <\/mi>\n Ω<\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\scriptstyle \\partial \\Omega }}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\bold{T} \\cdot {\\rm d}^3\\boldsymbol{\\Sigma} = 0", "type": "tex", "mml": "\n \n \n \n \n \n T<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mo>\n \n \n \n d<\/mi>\n <\/mrow>\n <\/mrow>\n \n 3<\/mn>\n <\/mrow>\n <\/msup>\n \n Σ<\/mi>\n <\/mrow>\n =<\/mo>\n 0<\/mn>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\mathbf {T}}\\cdot {\\rm {d}}^{3}{\\boldsymbol {\\Sigma }}=0}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\overset{\\frown}{AB}", "type": "tex", "mml": "\n \n \n \n \n \n \n A<\/mi>\n B<\/mi>\n <\/mrow>\n <\/mo>\n <\/mover>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\overset {\\frown }{AB}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "ax^2 + bx + c = 0", "type": "tex", "mml": "\n \n \n \n a<\/mi>\n \n x<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n +<\/mo>\n b<\/mi>\n x<\/mi>\n +<\/mo>\n c<\/mi>\n =<\/mo>\n 0<\/mn>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle ax^{2}+bx+c=0}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "x={-b\\pm\\sqrt{b^2-4ac} \\over 2a}", "type": "tex", "mml": "\n \n \n \n x<\/mi>\n =<\/mo>\n \n \n \n <\/mo>\n b<\/mi>\n ±<\/mo>\n \n \n \n b<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mo>\n 4<\/mn>\n a<\/mi>\n c<\/mi>\n <\/msqrt>\n <\/mrow>\n <\/mrow>\n \n 2<\/mn>\n a<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle x={-b\\pm {\\sqrt {b^{2}-4ac}} \\over 2a}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "2 = \\left( \\frac{\\left(3-x\\right) \\times 2}{3-x} \\right)", "type": "tex", "mml": "\n \n \n \n 2<\/mn>\n =<\/mo>\n \n (<\/mo>\n \n \n \n \n (<\/mo>\n \n 3<\/mn>\n <\/mo>\n x<\/mi>\n <\/mrow>\n )<\/mo>\n <\/mrow>\n ×<\/mo>\n 2<\/mn>\n <\/mrow>\n \n 3<\/mn>\n <\/mo>\n x<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n )<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle 2=\\left({\\frac {\\left(3-x\\right)\\times 2}{3-x}}\\right)}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "S_{\\text{new}} = S_{\\text{old}} - \\frac{ \\left( 5-T \\right) ^2} {2}", "type": "tex", "mml": "\n \n \n \n \n S<\/mi>\n \n new<\/mtext>\n <\/mrow>\n <\/msub>\n =<\/mo>\n \n S<\/mi>\n \n old<\/mtext>\n <\/mrow>\n <\/msub>\n <\/mo>\n \n \n \n \n (<\/mo>\n \n 5<\/mn>\n <\/mo>\n T<\/mi>\n <\/mrow>\n )<\/mo>\n <\/mrow>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n 2<\/mn>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle S_{\\text{new}}=S_{\\text{old}}-{\\frac {\\left(5-T\\right)^{2}}{2}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\int_a^x \\!\\!\\!\\int_a^s f(y)\\,dy\\,ds = \\int_a^x f(y)(x-y)\\,dy", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n a<\/mi>\n <\/mrow>\n \n x<\/mi>\n <\/mrow>\n <\/msubsup>\n \n \n \n \n <\/mo>\n \n a<\/mi>\n <\/mrow>\n \n s<\/mi>\n <\/mrow>\n <\/msubsup>\n f<\/mi>\n (<\/mo>\n y<\/mi>\n )<\/mo>\n \n d<\/mi>\n y<\/mi>\n \n d<\/mi>\n s<\/mi>\n =<\/mo>\n \n <\/mo>\n \n a<\/mi>\n <\/mrow>\n \n x<\/mi>\n <\/mrow>\n <\/msubsup>\n f<\/mi>\n (<\/mo>\n y<\/mi>\n )<\/mo>\n (<\/mo>\n x<\/mi>\n <\/mo>\n y<\/mi>\n )<\/mo>\n \n d<\/mi>\n y<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\int _{a}^{x}\\!\\!\\!\\int _{a}^{s}f(y)\\,dy\\,ds=\\int _{a}^{x}f(y)(x-y)\\,dy}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\det(\\mathsf{A}-\\lambda\\mathsf{I}) = 0", "type": "tex", "mml": "\n \n \n \n det<\/mo>\n (<\/mo>\n \n \n A<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mo>\n λ<\/mi>\n \n \n I<\/mi>\n <\/mrow>\n <\/mrow>\n )<\/mo>\n =<\/mo>\n 0<\/mn>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\det({\\mathsf {A}}-\\lambda {\\mathsf {I}})=0}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sum_{i=0}^{n-1} i", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n i<\/mi>\n =<\/mo>\n 0<\/mn>\n <\/mrow>\n \n n<\/mi>\n <\/mo>\n 1<\/mn>\n <\/mrow>\n <\/munderover>\n i<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\sum _{i=0}^{n-1}i}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\sum_{m=1}^\\infty\\sum_{n=1}^\\infty\\frac{m^2\\,n}{3^m\\left(m\\,3^n+n\\,3^m\\right)}", "type": "tex", "mml": "\n \n \n \n \n <\/mo>\n \n m<\/mi>\n =<\/mo>\n 1<\/mn>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n <\/munderover>\n \n <\/mo>\n \n n<\/mi>\n =<\/mo>\n 1<\/mn>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n <\/munderover>\n \n \n \n \n m<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n \n n<\/mi>\n <\/mrow>\n \n \n 3<\/mn>\n \n m<\/mi>\n <\/mrow>\n <\/msup>\n \n (<\/mo>\n \n m<\/mi>\n \n \n 3<\/mn>\n \n n<\/mi>\n <\/mrow>\n <\/msup>\n +<\/mo>\n n<\/mi>\n \n \n 3<\/mn>\n \n m<\/mi>\n <\/mrow>\n <\/msup>\n <\/mrow>\n )<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\sum _{m=1}^{\\infty }\\sum _{n=1}^{\\infty }{\\frac {m^{2}\\,n}{3^{m}\\left(m\\,3^{n}+n\\,3^{m}\\right)}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "u'' + p(x)u' + q(x)u=f(x),\\quad x>a", "type": "tex", "mml": "\n \n \n \n \n u<\/mi>\n ″<\/mo>\n <\/msup>\n +<\/mo>\n p<\/mi>\n (<\/mo>\n x<\/mi>\n )<\/mo>\n \n u<\/mi>\n ′<\/mo>\n <\/msup>\n +<\/mo>\n q<\/mi>\n (<\/mo>\n x<\/mi>\n )<\/mo>\n u<\/mi>\n =<\/mo>\n f<\/mi>\n (<\/mo>\n x<\/mi>\n )<\/mo>\n ,<\/mo>\n \n x<\/mi>\n ><\/mo>\n a<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle u''+p(x)u'+q(x)u=f(x),\\quad x>a}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "|\\bar{z}| = |z|, |(\\bar{z})^n| = |z|^n, \\arg(z^n) = n \\arg(z)", "type": "tex", "mml": "\n \n \n \n \n |<\/mo>\n <\/mrow>\n \n \n \n z<\/mi>\n ¯<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n \n |<\/mo>\n <\/mrow>\n =<\/mo>\n \n |<\/mo>\n <\/mrow>\n z<\/mi>\n \n |<\/mo>\n <\/mrow>\n ,<\/mo>\n \n |<\/mo>\n <\/mrow>\n (<\/mo>\n \n \n \n z<\/mi>\n ¯<\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n \n )<\/mo>\n \n n<\/mi>\n <\/mrow>\n <\/msup>\n \n |<\/mo>\n <\/mrow>\n =<\/mo>\n \n |<\/mo>\n <\/mrow>\n z<\/mi>\n \n \n |<\/mo>\n <\/mrow>\n \n n<\/mi>\n <\/mrow>\n <\/msup>\n ,<\/mo>\n arg<\/mi>\n <\/mo>\n (<\/mo>\n \n z<\/mi>\n \n n<\/mi>\n <\/mrow>\n <\/msup>\n )<\/mo>\n =<\/mo>\n n<\/mi>\n arg<\/mi>\n <\/mo>\n (<\/mo>\n z<\/mi>\n )<\/mo>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle |{\\bar {z}}|=|z|,|({\\bar {z}})^{n}|=|z|^{n},\\arg(z^{n})=n\\arg(z)}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\lim_{z\\rightarrow z_0} f(z)=f(z_0)", "type": "tex", "mml": "\n \n \n \n \n lim<\/mo>\n \n z<\/mi>\n <\/mo>\n \n z<\/mi>\n \n 0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <\/munder>\n f<\/mi>\n (<\/mo>\n z<\/mi>\n )<\/mo>\n =<\/mo>\n f<\/mi>\n (<\/mo>\n \n z<\/mi>\n \n 0<\/mn>\n <\/mrow>\n <\/msub>\n )<\/mo>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\lim _{z\\rightarrow z_{0}}f(z)=f(z_{0})}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\phi_n(\\kappa)\n= \\frac{1}{4\\pi^2\\kappa^2} \\int_0^\\infty \\frac{\\sin(\\kappa R)}{\\kappa R} \\frac{\\partial}{\\partial R} \\left[R^2\\frac{\\partial D_n(R)}{\\partial R}\\right]\\,dR", "type": "tex", "mml": "\n \n \n \n \n ϕ<\/mi>\n \n n<\/mi>\n <\/mrow>\n <\/msub>\n (<\/mo>\n κ<\/mi>\n )<\/mo>\n =<\/mo>\n \n \n 1<\/mn>\n \n 4<\/mn>\n \n π<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n \n κ<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n \n <\/mo>\n \n 0<\/mn>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n <\/msubsup>\n \n \n \n sin<\/mi>\n <\/mo>\n (<\/mo>\n κ<\/mi>\n R<\/mi>\n )<\/mo>\n <\/mrow>\n \n κ<\/mi>\n R<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n \n \n <\/mi>\n \n <\/mi>\n R<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n \n [<\/mo>\n \n \n R<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n \n \n \n <\/mi>\n \n D<\/mi>\n \n n<\/mi>\n <\/mrow>\n <\/msub>\n (<\/mo>\n R<\/mi>\n )<\/mo>\n <\/mrow>\n \n <\/mi>\n R<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n ]<\/mo>\n <\/mrow>\n \n d<\/mi>\n R<\/mi>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\phi _{n}(\\kappa )={\\frac {1}{4\\pi ^{2}\\kappa ^{2}}}\\int _{0}^{\\infty }{\\frac {\\sin(\\kappa R)}{\\kappa R}}{\\frac {\\partial }{\\partial R}}\\left[R^{2}{\\frac {\\partial D_{n}(R)}{\\partial R}}\\right]\\,dR}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\phi_n(\\kappa) = 0.033C_n^2\\kappa^{-11\/3},\\quad \\frac{1}{L_0}\\ll\\kappa\\ll\\frac{1}{l_0}", "type": "tex", "mml": "\n \n \n \n \n ϕ<\/mi>\n \n n<\/mi>\n <\/mrow>\n <\/msub>\n (<\/mo>\n κ<\/mi>\n )<\/mo>\n =<\/mo>\n 0.033<\/mn>\n \n C<\/mi>\n \n n<\/mi>\n <\/mrow>\n \n 2<\/mn>\n <\/mrow>\n <\/msubsup>\n \n κ<\/mi>\n \n <\/mo>\n 11<\/mn>\n \n \/<\/mo>\n <\/mrow>\n 3<\/mn>\n <\/mrow>\n <\/msup>\n ,<\/mo>\n \n \n \n 1<\/mn>\n \n L<\/mi>\n \n 0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mfrac>\n <\/mrow>\n <\/mo>\n κ<\/mi>\n <\/mo>\n \n \n 1<\/mn>\n \n l<\/mi>\n \n 0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle \\phi _{n}(\\kappa )=0.033C_{n}^{2}\\kappa ^{-11\/3},\\quad {\\frac {1}{L_{0}}}\\ll \\kappa \\ll {\\frac {1}{l_{0}}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "f(x) = \\begin{cases}1 & -1 \\le x < 0 \\\\\n\\frac{1}{2} & x = 0 \\\\ 1 - x^2 & \\text{otherwise}\\end{cases}", "type": "tex", "mml": "\n \n \n \n f<\/mi>\n (<\/mo>\n x<\/mi>\n )<\/mo>\n =<\/mo>\n \n \n {<\/mo>\n \n \n \n 1<\/mn>\n <\/mtd>\n \n <\/mo>\n 1<\/mn>\n <\/mo>\n x<\/mi>\n <<\/mo>\n 0<\/mn>\n <\/mtd>\n <\/mtr>\n \n \n \n \n 1<\/mn>\n 2<\/mn>\n <\/mfrac>\n <\/mrow>\n <\/mtd>\n \n x<\/mi>\n =<\/mo>\n 0<\/mn>\n <\/mtd>\n <\/mtr>\n \n \n 1<\/mn>\n <\/mo>\n \n x<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mtd>\n \n \n otherwise<\/mtext>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle f(x)={\\begin{cases}1&-1\\leq x<0\\\\{\\frac {1}{2}}&x=0\\\\1-x^{2}&{\\text{otherwise}}\\end{cases}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "{}_pF_q(a_1,\\dots,a_p;c_1,\\dots,c_q;z) = \\sum_{n=0}^\\infty \\frac{(a_1)_n\\cdots(a_p)_n}{(c_1)_n\\cdots(c_q)_n}\\frac{z^n}{n!}", "type": "tex", "mml": "\n \n \n \n \n \n\n <\/mrow>\n \n p<\/mi>\n <\/mrow>\n <\/msub>\n \n F<\/mi>\n \n q<\/mi>\n <\/mrow>\n <\/msub>\n (<\/mo>\n \n a<\/mi>\n \n 1<\/mn>\n <\/mrow>\n <\/msub>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n \n a<\/mi>\n \n p<\/mi>\n <\/mrow>\n <\/msub>\n ;<\/mo>\n \n c<\/mi>\n \n 1<\/mn>\n <\/mrow>\n <\/msub>\n ,<\/mo>\n <\/mo>\n ,<\/mo>\n \n c<\/mi>\n \n q<\/mi>\n <\/mrow>\n <\/msub>\n ;<\/mo>\n z<\/mi>\n )<\/mo>\n =<\/mo>\n \n <\/mo>\n \n n<\/mi>\n =<\/mo>\n 0<\/mn>\n <\/mrow>\n \n <\/mi>\n <\/mrow>\n <\/munderover>\n \n \n \n (<\/mo>\n \n a<\/mi>\n \n 1<\/mn>\n <\/mrow>\n <\/msub>\n \n )<\/mo>\n \n n<\/mi>\n <\/mrow>\n <\/msub>\n <\/mo>\n (<\/mo>\n \n a<\/mi>\n \n p<\/mi>\n <\/mrow>\n <\/msub>\n \n )<\/mo>\n \n n<\/mi>\n <\/mrow>\n <\/msub>\n <\/mrow>\n \n (<\/mo>\n \n c<\/mi>\n \n 1<\/mn>\n <\/mrow>\n <\/msub>\n \n )<\/mo>\n \n n<\/mi>\n <\/mrow>\n <\/msub>\n <\/mo>\n (<\/mo>\n \n c<\/mi>\n \n q<\/mi>\n <\/mrow>\n <\/msub>\n \n )<\/mo>\n \n n<\/mi>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n \n \n \n z<\/mi>\n \n n<\/mi>\n <\/mrow>\n <\/msup>\n \n n<\/mi>\n !<\/mo>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {}_{p}F_{q}(a_{1},\\dots ,a_{p};c_{1},\\dots ,c_{q};z)=\\sum _{n=0}^{\\infty }{\\frac {(a_{1})_{n}\\cdots (a_{p})_{n}}{(c_{1})_{n}\\cdots (c_{q})_{n}}}{\\frac {z^{n}}{n!}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\frac{a}{b}\\ \\tfrac{a}{b}", "type": "tex", "mml": "\n \n \n \n \n \n a<\/mi>\n b<\/mi>\n <\/mfrac>\n <\/mrow>\n  <\/mtext>\n \n \n \n a<\/mi>\n b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\frac {a}{b}}\\ {\\tfrac {a}{b}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "S=dD\\,\\sin\\alpha\\!", "type": "tex", "mml": "\n \n \n \n S<\/mi>\n =<\/mo>\n d<\/mi>\n D<\/mi>\n \n sin<\/mi>\n <\/mo>\n α<\/mi>\n \n <\/mstyle>\n <\/mrow>\n {\\displaystyle S=dD\\,\\sin \\alpha \\!}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "V=\\frac16\\pi h\\left[3\\left(r_1^2+r_2^2\\right)+h^2\\right]", "type": "tex", "mml": "\n \n \n \n V<\/mi>\n =<\/mo>\n \n \n 1<\/mn>\n 6<\/mn>\n <\/mfrac>\n <\/mrow>\n π<\/mi>\n h<\/mi>\n \n [<\/mo>\n \n 3<\/mn>\n \n (<\/mo>\n \n \n r<\/mi>\n \n 1<\/mn>\n <\/mrow>\n \n 2<\/mn>\n <\/mrow>\n <\/msubsup>\n +<\/mo>\n \n r<\/mi>\n \n 2<\/mn>\n <\/mrow>\n \n 2<\/mn>\n <\/mrow>\n <\/msubsup>\n <\/mrow>\n )<\/mo>\n <\/mrow>\n +<\/mo>\n \n h<\/mi>\n \n 2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n ]<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle V={\\frac {1}{6}}\\pi h\\left[3\\left(r_{1}^{2}+r_{2}^{2}\\right)+h^{2}\\right]}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "\\begin{align}\nu & = \\tfrac{1}{\\sqrt{2}}(x+y) \\qquad & x &= \\tfrac{1}{\\sqrt{2}}(u+v)\\\\\nv & = \\tfrac{1}{\\sqrt{2}}(x-y) \\qquad & y &= \\tfrac{1}{\\sqrt{2}}(u-v)\n\\end{align}", "type": "tex", "mml": "\n \n \n \n \n \n \n \n u<\/mi>\n <\/mtd>\n \n <\/mi>\n =<\/mo>\n \n \n \n 1<\/mn>\n \n 2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n (<\/mo>\n x<\/mi>\n +<\/mo>\n y<\/mi>\n )<\/mo>\n \n <\/mtd>\n \n x<\/mi>\n <\/mtd>\n \n <\/mi>\n =<\/mo>\n \n \n \n 1<\/mn>\n \n 2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n (<\/mo>\n u<\/mi>\n +<\/mo>\n v<\/mi>\n )<\/mo>\n <\/mtd>\n <\/mtr>\n \n \n v<\/mi>\n <\/mtd>\n \n <\/mi>\n =<\/mo>\n \n \n \n 1<\/mn>\n \n 2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n (<\/mo>\n x<\/mi>\n <\/mo>\n y<\/mi>\n )<\/mo>\n \n <\/mtd>\n \n y<\/mi>\n <\/mtd>\n \n <\/mi>\n =<\/mo>\n \n \n \n 1<\/mn>\n \n 2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n (<\/mo>\n u<\/mi>\n <\/mo>\n v<\/mi>\n )<\/mo>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle {\\begin{aligned}u&={\\tfrac {1}{\\sqrt {2}}}(x+y)\\qquad &x&={\\tfrac {1}{\\sqrt {2}}}(u+v)\\\\v&={\\tfrac {1}{\\sqrt {2}}}(x-y)\\qquad &y&={\\tfrac {1}{\\sqrt {2}}}(u-v)\\end{aligned}}}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "2+2", "type": "tex", "mml": "\n \n \n \n 2<\/mn>\n +<\/mo>\n 2<\/mn>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle 2+2}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "2+2", "type": "tex", "mml": "\n \n \n \n 2<\/mn>\n +<\/mo>\n 2<\/mn>\n <\/mstyle>\n <\/mrow>\n {\\displaystyle 2+2}<\/annotation>\n <\/semantics>\n<\/math>" }, { "tex": "