mediawiki-extensions-Math/tests/ParserTest.json
physikerwelt (Moritz Schubotz) fd8eb448a3 Update MathParser tests
In the most recent version of ubuntu14 the outputhash of the
png images for some math objects has changed.
However, the rendered images seem to look ok.

Bug: T86309
Change-Id: I52dbdefdcfa19c10f1d9d1a43369aabe8bfd92bf
2015-01-10 14:54:03 +00:00

1798 lines
103 KiB
JSON

[
[
"e^{i \\pi} + 1 = 0\\,\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"e^{i \\pi} + 1 = 0\\,\\!\" src=\"9e9a547076c6820b95e439dd1a5d6a32.png\" \/>"
],
[
"e^{i \\pi} + 1 = 0\\,\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"e^{i \\pi} + 1 = 0\\,\\!\" src=\"9e9a547076c6820b95e439dd1a5d6a32.png\" \/>"
],
[
"\\definecolor{red}{RGB}{255,0,0}\\pagecolor{red}e^{i \\pi} + 1 = 0\\,\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\definecolor{red}{RGB}{255,0,0}\\pagecolor{red}e^{i \\pi} + 1 = 0\\,\\!\" src=\"67aca9e0de80ac6ab651ed1097b49fe2.png\" \/>"
],
[
"\\text{abc}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\text{abc}\" src=\"46045b1f6fa9dc10a3112ba360d4d9d7.png\" \/>"
],
[
"\\alpha\\,\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\alpha\\,\\!\" src=\"4bc6c42bbabe567d1f2516326e52b775.png\" \/>"
],
[
" f(x) = x^2\\,\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\" f(x) = x^2\\,\\!\" src=\"3a5f0f03603148035120a3cba993e54f.png\" \/>"
],
[
"\\sqrt{2}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sqrt{2}\" src=\"ef5590434a387b3c4427e09d5b08baaf.png\" \/>"
],
[
"\\sqrt{1-e^2}\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sqrt{1-e^2}\\!\" src=\"04c93cf9f0a7cf697add9a2d4173a9e9.png\" \/>"
],
[
"\\sqrt{1-z^3}\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sqrt{1-z^3}\\!\" src=\"108d6aa70c84fddabbbd3ec97f3d3ff8.png\" \/>"
],
[
"x",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"x\" src=\"9dd4e461268c8034f5c8564e155c67a6.png\" \/>"
],
[
"\\dot{a}, \\ddot{a}, \\acute{a}, \\grave{a} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\dot{a}, \\ddot{a}, \\acute{a}, \\grave{a} \\!\" src=\"c096beaae99e2d37b4050c4ccf30fbf8.png\" \/>"
],
[
"\\check{a}, \\breve{a}, \\tilde{a}, \\bar{a} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\check{a}, \\breve{a}, \\tilde{a}, \\bar{a} \\!\" src=\"ef387ac79f18651dd3105d2c584b3c95.png\" \/>"
],
[
"\\hat{a}, \\widehat{a}, \\vec{a} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\hat{a}, \\widehat{a}, \\vec{a} \\!\" src=\"731677a388ba08f520ebe91623dab74a.png\" \/>"
],
[
"\\exp_a b = a^b, \\exp b = e^b, 10^m \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\exp_a b = a^b, \\exp b = e^b, 10^m \\!\" src=\"199ac36bc19f7951df5041aedc1e2525.png\" \/>"
],
[
"\\ln c, \\lg d = \\log e, \\log_{10} f \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\ln c, \\lg d = \\log e, \\log_{10} f \\!\" src=\"d58edc12e2750302cfcdfd47f7674607.png\" \/>"
],
[
"\\sin a, \\cos b, \\tan c, \\cot d, \\sec e, \\csc f\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sin a, \\cos b, \\tan c, \\cot d, \\sec e, \\csc f\\!\" src=\"0de90ca439db043c53360a81e56e2543.png\" \/>"
],
[
"\\arcsin h, \\arccos i, \\arctan j \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\arcsin h, \\arccos i, \\arctan j \\!\" src=\"d4f41532d2a06150554f27d52b3c9479.png\" \/>"
],
[
"\\sinh k, \\cosh l, \\tanh m, \\coth n \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sinh k, \\cosh l, \\tanh m, \\coth n \\!\" src=\"2d460f19d2addae865a78806e3a3afd8.png\" \/>"
],
[
"\\operatorname{sh}\\,k, \\operatorname{ch}\\,l, \\operatorname{th}\\,m, \\operatorname{coth}\\,n \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\operatorname{sh}\\,k, \\operatorname{ch}\\,l, \\operatorname{th}\\,m, \\operatorname{coth}\\,n \\!\" src=\"7f37a94f008e914726d78b52bf7e3ff4.png\" \/>"
],
[
"\\operatorname{argsh}\\,o, \\operatorname{argch}\\,p, \\operatorname{argth}\\,q \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\operatorname{argsh}\\,o, \\operatorname{argch}\\,p, \\operatorname{argth}\\,q \\!\" src=\"4e797e4c1988d0f75df043f9347214c0.png\" \/>"
],
[
"\\sgn r, \\left\\vert s \\right\\vert \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sgn r, \\left\\vert s \\right\\vert \\!\" src=\"cf2302a36d9f76e484ea9833b583bc73.png\" \/>"
],
[
"\\min(x,y), \\max(x,y) \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\min(x,y), \\max(x,y) \\!\" src=\"6685fb9850f120547152b9e8f89e127d.png\" \/>"
],
[
"\\min x, \\max y, \\inf s, \\sup t \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\min x, \\max y, \\inf s, \\sup t \\!\" src=\"8cb6afbfa7011932573dc4fe62a6326f.png\" \/>"
],
[
"\\lim u, \\liminf v, \\limsup w \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\lim u, \\liminf v, \\limsup w \\!\" src=\"15e23ef762c80f28daef47e565900b89.png\" \/>"
],
[
"\\dim p, \\deg q, \\det m, \\ker\\phi \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\dim p, \\deg q, \\det m, \\ker\\phi \\!\" src=\"ffbfa151b5260ecb5ef79f0c87514688.png\" \/>"
],
[
"\\Pr j, \\hom l, \\lVert z \\rVert, \\arg z \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Pr j, \\hom l, \\lVert z \\rVert, \\arg z \\!\" src=\"dde6ad7a50f2079b6e085bccfcbe49e0.png\" \/>"
],
[
"dt, \\operatorname{d}\\!t, \\partial t, \\nabla\\psi\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"dt, \\operatorname{d}\\!t, \\partial t, \\nabla\\psi\\!\" src=\"b32346afbfaabbd8e7e3eee827952c44.png\" \/>"
],
[
"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 \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"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 \\!\" src=\"8854ea48cc731b20acb7e31b7676ab14.png\" \/>"
],
[
"\\prime, \\backprime, f^\\prime, f', f'', f^{(3)} \\!, \\dot y, \\ddot y",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\prime, \\backprime, f^\\prime, f&#039;, f&#039;&#039;, f^{(3)} \\!, \\dot y, \\ddot y\" src=\"99434cfc81c7e2121520b25248f49eab.png\" \/>"
],
[
"\\infty, \\aleph, \\complement, \\backepsilon, \\eth, \\Finv, \\hbar \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\infty, \\aleph, \\complement, \\backepsilon, \\eth, \\Finv, \\hbar \\!\" src=\"5a419cad96da19939591abb89e952110.png\" \/>"
],
[
"\\Im, \\imath, \\jmath, \\Bbbk, \\ell, \\mho, \\wp, \\Re, \\circledS \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Im, \\imath, \\jmath, \\Bbbk, \\ell, \\mho, \\wp, \\Re, \\circledS \\!\" src=\"c390bebffad60aca74b245dcc59a25ef.png\" \/>"
],
[
"s_k \\equiv 0 \\pmod{m} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"s_k \\equiv 0 \\pmod{m} \\!\" src=\"353ab52b3f2c5f26ee74c81d31f2a36c.png\" \/>"
],
[
"a\\,\\bmod\\,b \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"a\\,\\bmod\\,b \\!\" src=\"ee6494b1a13934593f79f5874592a117.png\" \/>"
],
[
"\\gcd(m, n), \\operatorname{lcm}(m, n)",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\gcd(m, n), \\operatorname{lcm}(m, n)\" src=\"6d966ef8f78b4ae70f97c9d14f873cfa.png\" \/>"
],
[
"\\mid, \\nmid, \\shortmid, \\nshortmid \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mid, \\nmid, \\shortmid, \\nshortmid \\!\" src=\"39e442097c139a70392ae8a043a9297a.png\" \/>"
],
[
"\\surd, \\sqrt{2}, \\sqrt[n]{}, \\sqrt[3]{x^3+y^3 \\over 2} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\surd, \\sqrt{2}, \\sqrt[n]{}, \\sqrt[3]{x^3+y^3 \\over 2} \\!\" src=\"2ab6022932b3bf67498985081a9a0546.png\" \/>"
],
[
"+, -, \\pm, \\mp, \\dotplus \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"+, -, \\pm, \\mp, \\dotplus \\!\" src=\"5c60a256506efc42047c06ea4cba9cf3.png\" \/>"
],
[
"\\times, \\div, \\divideontimes, \/, \\backslash \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\times, \\div, \\divideontimes, \/, \\backslash \\!\" src=\"b386c20a84be6bea1495f8f4d34aaf9d.png\" \/>"
],
[
"\\cdot, * \\ast, \\star, \\circ, \\bullet \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\cdot, * \\ast, \\star, \\circ, \\bullet \\!\" src=\"1538e6e687ddbc430d2edba1dd4c57f3.png\" \/>"
],
[
"\\boxplus, \\boxminus, \\boxtimes, \\boxdot \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\boxplus, \\boxminus, \\boxtimes, \\boxdot \\!\" src=\"a7d67089f319edbd2c6ceda550ae97fc.png\" \/>"
],
[
"\\oplus, \\ominus, \\otimes, \\oslash, \\odot\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\oplus, \\ominus, \\otimes, \\oslash, \\odot\\!\" src=\"efa177feefc3df54b529112042dd4862.png\" \/>"
],
[
"\\circleddash, \\circledcirc, \\circledast \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\circleddash, \\circledcirc, \\circledast \\!\" src=\"e33c682e034881ea51ca94419fe6534f.png\" \/>"
],
[
"\\bigoplus, \\bigotimes, \\bigodot \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\bigoplus, \\bigotimes, \\bigodot \\!\" src=\"901f6c26646a95b68684a88c3dd7ba23.png\" \/>"
],
[
"\\{ \\}, \\O \\empty \\emptyset, \\varnothing \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\{ \\}, \\O \\empty \\emptyset, \\varnothing \\!\" src=\"66f1c50302d04ec150b9791a0ed9dd72.png\" \/>"
],
[
"\\in, \\notin \\not\\in, \\ni, \\not\\ni \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\in, \\notin \\not\\in, \\ni, \\not\\ni \\!\" src=\"e3ccfeab48f96e390879beae43fef5f6.png\" \/>"
],
[
"\\cap, \\Cap, \\sqcap, \\bigcap \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\cap, \\Cap, \\sqcap, \\bigcap \\!\" src=\"fce1ad3d3efa856b424905062f483e19.png\" \/>"
],
[
"\\cup, \\Cup, \\sqcup, \\bigcup, \\bigsqcup, \\uplus, \\biguplus \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\cup, \\Cup, \\sqcup, \\bigcup, \\bigsqcup, \\uplus, \\biguplus \\!\" src=\"b8621006bb69395016e695a8f866c004.png\" \/>"
],
[
"\\setminus, \\smallsetminus, \\times \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\setminus, \\smallsetminus, \\times \\!\" src=\"e17420f59b39e697a8f0cbd94dd53ad5.png\" \/>"
],
[
"\\subset, \\Subset, \\sqsubset \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\subset, \\Subset, \\sqsubset \\!\" src=\"b4900dc0901ce8489cff150076d16088.png\" \/>"
],
[
"\\supset, \\Supset, \\sqsupset \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\supset, \\Supset, \\sqsupset \\!\" src=\"cb5fa1a8597041a2eb565361a1401079.png\" \/>"
],
[
"\\subseteq, \\nsubseteq, \\subsetneq, \\varsubsetneq, \\sqsubseteq \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\subseteq, \\nsubseteq, \\subsetneq, \\varsubsetneq, \\sqsubseteq \\!\" src=\"54b164cefa6faadfce92a97d239f2f80.png\" \/>"
],
[
"\\supseteq, \\nsupseteq, \\supsetneq, \\varsupsetneq, \\sqsupseteq \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\supseteq, \\nsupseteq, \\supsetneq, \\varsupsetneq, \\sqsupseteq \\!\" src=\"4e928a53227784971555d98d1ef5c7be.png\" \/>"
],
[
"\\subseteqq, \\nsubseteqq, \\subsetneqq, \\varsubsetneqq \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\subseteqq, \\nsubseteqq, \\subsetneqq, \\varsubsetneqq \\!\" src=\"0162e51aac9e459011206dd370890444.png\" \/>"
],
[
"\\supseteqq, \\nsupseteqq, \\supsetneqq, \\varsupsetneqq \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\supseteqq, \\nsupseteqq, \\supsetneqq, \\varsupsetneqq \\!\" src=\"3a07c3fb9a0f14534117951fc276d2e0.png\" \/>"
],
[
"=, \\ne, \\neq, \\equiv, \\not\\equiv \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"=, \\ne, \\neq, \\equiv, \\not\\equiv \\!\" src=\"71bb47c2145fabb0a1692fe545a019c8.png\" \/>"
],
[
"\\doteq, \\doteqdot, \\overset{\\underset{\\mathrm{def}}{}}{=}, := \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\doteq, \\doteqdot, \\overset{\\underset{\\mathrm{def}}{}}{=}, := \\!\" src=\"6426a1cb9fe7d87280f4d1b7137abc07.png\" \/>"
],
[
"\\sim, \\nsim, \\backsim, \\thicksim, \\simeq, \\backsimeq, \\eqsim, \\cong, \\ncong \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sim, \\nsim, \\backsim, \\thicksim, \\simeq, \\backsimeq, \\eqsim, \\cong, \\ncong \\!\" src=\"30784f1f1b325970cfacabacb47b192e.png\" \/>"
],
[
"\\approx, \\thickapprox, \\approxeq, \\asymp, \\propto, \\varpropto \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\approx, \\thickapprox, \\approxeq, \\asymp, \\propto, \\varpropto \\!\" src=\"8c58c414b8003f68301141b50ceadc02.png\" \/>"
],
[
"<, \\nless, \\ll, \\not\\ll, \\lll, \\not\\lll, \\lessdot \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"&lt;, \\nless, \\ll, \\not\\ll, \\lll, \\not\\lll, \\lessdot \\!\" src=\"346b8a9e0891b24a7433041f233be228.png\" \/>"
],
[
">, \\ngtr, \\gg, \\not\\gg, \\ggg, \\not\\ggg, \\gtrdot \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"&gt;, \\ngtr, \\gg, \\not\\gg, \\ggg, \\not\\ggg, \\gtrdot \\!\" src=\"8b8f7a0e7ad46e494dc5b032c5558068.png\" \/>"
],
[
"\\le \\leq, \\lneq, \\leqq, \\nleqq, \\lneqq, \\lvertneqq \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\le \\leq, \\lneq, \\leqq, \\nleqq, \\lneqq, \\lvertneqq \\!\" src=\"2a0fc5dad4cb369221b29e8a49c0e769.png\" \/>"
],
[
"\\ge \\geq, \\gneq, \\geqq, \\ngeqq, \\gneqq, \\gvertneqq \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\ge \\geq, \\gneq, \\geqq, \\ngeqq, \\gneqq, \\gvertneqq \\!\" src=\"ab7369a11c4f4e0db4d838b4303a673c.png\" \/>"
],
[
"\\lessgtr \\lesseqgtr \\lesseqqgtr \\gtrless \\gtreqless \\gtreqqless \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\lessgtr \\lesseqgtr \\lesseqqgtr \\gtrless \\gtreqless \\gtreqqless \\!\" src=\"849c96983e134159f2d7da012e2fef32.png\" \/>"
],
[
"\\leqslant, \\nleqslant, \\eqslantless \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\leqslant, \\nleqslant, \\eqslantless \\!\" src=\"69bafd8e6dd7f1e6c45449a7eb0bbd72.png\" \/>"
],
[
"\\geqslant, \\ngeqslant, \\eqslantgtr \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\geqslant, \\ngeqslant, \\eqslantgtr \\!\" src=\"dfba791fb6522dc8d44b3c8d751d8bf5.png\" \/>"
],
[
"\\lesssim, \\lnsim, \\lessapprox, \\lnapprox \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\lesssim, \\lnsim, \\lessapprox, \\lnapprox \\!\" src=\"13fd2ed1c2d478c14cece389bb5c64a1.png\" \/>"
],
[
" \\gtrsim, \\gnsim, \\gtrapprox, \\gnapprox \\,",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\" \\gtrsim, \\gnsim, \\gtrapprox, \\gnapprox \\,\" src=\"d74fd13928904c2d1b8f494a026e58b1.png\" \/>"
],
[
"\\prec, \\nprec, \\preceq, \\npreceq, \\precneqq \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\prec, \\nprec, \\preceq, \\npreceq, \\precneqq \\!\" src=\"efd1161f1c5933353120560a5706009b.png\" \/>"
],
[
"\\succ, \\nsucc, \\succeq, \\nsucceq, \\succneqq \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\succ, \\nsucc, \\succeq, \\nsucceq, \\succneqq \\!\" src=\"fbf129d72470a83b6f94671d3f3c3736.png\" \/>"
],
[
"\\preccurlyeq, \\curlyeqprec \\,",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\preccurlyeq, \\curlyeqprec \\,\" src=\"618877a0da3b42786403dd6f89f23cd4.png\" \/>"
],
[
"\\succcurlyeq, \\curlyeqsucc \\,",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\succcurlyeq, \\curlyeqsucc \\,\" src=\"c62e39463302a563b562ca55a05b427b.png\" \/>"
],
[
"\\precsim, \\precnsim, \\precapprox, \\precnapprox \\,",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\precsim, \\precnsim, \\precapprox, \\precnapprox \\,\" src=\"94defc1756f8294cc2126346b99a61a6.png\" \/>"
],
[
"\\succsim, \\succnsim, \\succapprox, \\succnapprox \\,",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\succsim, \\succnsim, \\succapprox, \\succnapprox \\,\" src=\"c7d48d910d1de01a804bcf1e0ef65e1d.png\" \/>"
],
[
"\\parallel, \\nparallel, \\shortparallel, \\nshortparallel \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\parallel, \\nparallel, \\shortparallel, \\nshortparallel \\!\" src=\"5b09ecb8b14b1df562a4caf1180c7d29.png\" \/>"
],
[
"\\perp, \\angle, \\sphericalangle, \\measuredangle, 45^\\circ \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\perp, \\angle, \\sphericalangle, \\measuredangle, 45^\\circ \\!\" src=\"ddc31bfbbe9c00652ee9dfa869cdbd73.png\" \/>"
],
[
"\\Box, \\blacksquare, \\diamond, \\Diamond \\lozenge, \\blacklozenge, \\bigstar \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Box, \\blacksquare, \\diamond, \\Diamond \\lozenge, \\blacklozenge, \\bigstar \\!\" src=\"bdf723cee9fa064c46b56a76fc90f40f.png\" \/>"
],
[
"\\bigcirc, \\triangle \\bigtriangleup, \\bigtriangledown \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\bigcirc, \\triangle \\bigtriangleup, \\bigtriangledown \\!\" src=\"aa8038ff0b44c400b3ce49f30bd8640a.png\" \/>"
],
[
"\\vartriangle, \\triangledown\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\vartriangle, \\triangledown\\!\" src=\"a0ce77d5ff2eee65687c195a386e2a57.png\" \/>"
],
[
"\\blacktriangle, \\blacktriangledown, \\blacktriangleleft, \\blacktriangleright \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\blacktriangle, \\blacktriangledown, \\blacktriangleleft, \\blacktriangleright \\!\" src=\"fb28c5e57867c70b72ee3ec7767725a2.png\" \/>"
],
[
"\\forall, \\exists, \\nexists \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\forall, \\exists, \\nexists \\!\" src=\"686b55bf8ded08acf37721fa9e289505.png\" \/>"
],
[
"\\therefore, \\because, \\And \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\therefore, \\because, \\And \\!\" src=\"e152ae479d89f44ffcb05f5c0010f977.png\" \/>"
],
[
"\\or \\lor \\vee, \\curlyvee, \\bigvee \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\or \\lor \\vee, \\curlyvee, \\bigvee \\!\" src=\"73cb2ef925b7885181d33363b6dc562a.png\" \/>"
],
[
"\\and \\land \\wedge, \\curlywedge, \\bigwedge \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\and \\land \\wedge, \\curlywedge, \\bigwedge \\!\" src=\"6b5e9b7373ce2c57602dc9dae4c84adb.png\" \/>"
],
[
"\\bar{q}, \\bar{abc}, \\overline{q}, \\overline{abc}, \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\bar{q}, \\bar{abc}, \\overline{q}, \\overline{abc}, \\!\" src=\"223a4c78df8eb8b9a1086c5e490f48ce.png\" \/>"
],
[
"\\lnot \\neg, \\not\\operatorname{R}, \\bot, \\top \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\lnot \\neg, \\not\\operatorname{R}, \\bot, \\top \\!\" src=\"99f7d273b7b0b3509afedb5c7f6738a0.png\" \/>"
],
[
"\\vdash \\dashv, \\vDash, \\Vdash, \\models \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\vdash \\dashv, \\vDash, \\Vdash, \\models \\!\" src=\"c1eec4d326b28c81681be40303f53029.png\" \/>"
],
[
"\\Vvdash \\nvdash \\nVdash \\nvDash \\nVDash \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Vvdash \\nvdash \\nVdash \\nvDash \\nVDash \\!\" src=\"89b4b08896b7110ddb06bf486b6791ec.png\" \/>"
],
[
"\\ulcorner \\urcorner \\llcorner \\lrcorner \\,",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\ulcorner \\urcorner \\llcorner \\lrcorner \\,\" src=\"a21720642028f8a9fe4157c6800f3ba3.png\" \/>"
],
[
"\\Rrightarrow, \\Lleftarrow \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Rrightarrow, \\Lleftarrow \\!\" src=\"c960b376ea9224b684e54d964af456dd.png\" \/>"
],
[
"\\Rightarrow, \\nRightarrow, \\Longrightarrow \\implies\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Rightarrow, \\nRightarrow, \\Longrightarrow \\implies\\!\" src=\"31c1448fab538846ac5f11bc2022c176.png\" \/>"
],
[
"\\Leftarrow, \\nLeftarrow, \\Longleftarrow \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Leftarrow, \\nLeftarrow, \\Longleftarrow \\!\" src=\"84b1cba7e578ad0ff11d4bf2f22ce2e7.png\" \/>"
],
[
"\\Leftrightarrow, \\nLeftrightarrow, \\Longleftrightarrow \\iff \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Leftrightarrow, \\nLeftrightarrow, \\Longleftrightarrow \\iff \\!\" src=\"7eb8b8e5483e32ff80c2cfcc8255091d.png\" \/>"
],
[
"\\Uparrow, \\Downarrow, \\Updownarrow \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Uparrow, \\Downarrow, \\Updownarrow \\!\" src=\"7efd0476ba546822fa6059aea7adfec6.png\" \/>"
],
[
"\\rightarrow \\to, \\nrightarrow, \\longrightarrow\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\rightarrow \\to, \\nrightarrow, \\longrightarrow\\!\" src=\"f1274eb98e3631ddde35ce79a1371ccc.png\" \/>"
],
[
"\\leftarrow \\gets, \\nleftarrow, \\longleftarrow\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\leftarrow \\gets, \\nleftarrow, \\longleftarrow\\!\" src=\"416c117d1c7b30d1f655eff0dd223aa7.png\" \/>"
],
[
"\\leftrightarrow, \\nleftrightarrow, \\longleftrightarrow \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\leftrightarrow, \\nleftrightarrow, \\longleftrightarrow \\!\" src=\"4c589175a17c959876c7843656839055.png\" \/>"
],
[
"\\uparrow, \\downarrow, \\updownarrow \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\uparrow, \\downarrow, \\updownarrow \\!\" src=\"92df6c1de62cb4c990943f697dc9d5e9.png\" \/>"
],
[
"\\nearrow, \\swarrow, \\nwarrow, \\searrow \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\nearrow, \\swarrow, \\nwarrow, \\searrow \\!\" src=\"c050f2c2ab90cedc7b277ca59954d607.png\" \/>"
],
[
"\\mapsto, \\longmapsto \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mapsto, \\longmapsto \\!\" src=\"fbd64bf3496731549c3adf48abcb6726.png\" \/>"
],
[
"\\rightharpoonup \\rightharpoondown \\leftharpoonup \\leftharpoondown \\upharpoonleft \\upharpoonright \\downharpoonleft \\downharpoonright \\rightleftharpoons \\leftrightharpoons \\,\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\rightharpoonup \\rightharpoondown \\leftharpoonup \\leftharpoondown \\upharpoonleft \\upharpoonright \\downharpoonleft \\downharpoonright \\rightleftharpoons \\leftrightharpoons \\,\\!\" src=\"422d605ad5b47e52b7275a53d9d87499.png\" \/>"
],
[
"\\curvearrowleft \\circlearrowleft \\Lsh \\upuparrows \\rightrightarrows \\rightleftarrows \\rightarrowtail \\looparrowright \\,\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\curvearrowleft \\circlearrowleft \\Lsh \\upuparrows \\rightrightarrows \\rightleftarrows \\rightarrowtail \\looparrowright \\,\\!\" src=\"49b807f451f07bd074ece7e0dd1030c0.png\" \/>"
],
[
"\\curvearrowright \\circlearrowright \\Rsh \\downdownarrows \\leftleftarrows \\leftrightarrows \\leftarrowtail \\looparrowleft \\,\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\curvearrowright \\circlearrowright \\Rsh \\downdownarrows \\leftleftarrows \\leftrightarrows \\leftarrowtail \\looparrowleft \\,\\!\" src=\"4bd4fbd2e32aabba593a093331aa5e7a.png\" \/>"
],
[
"\\hookrightarrow \\hookleftarrow \\multimap \\leftrightsquigarrow \\rightsquigarrow \\twoheadrightarrow \\twoheadleftarrow \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\hookrightarrow \\hookleftarrow \\multimap \\leftrightsquigarrow \\rightsquigarrow \\twoheadrightarrow \\twoheadleftarrow \\!\" src=\"ad1b5e897e1e42b0541f628ba2373316.png\" \/>"
],
[
"\\amalg \\P \\S \\% \\dagger \\ddagger \\ldots \\cdots \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\amalg \\P \\S \\% \\dagger \\ddagger \\ldots \\cdots \\!\" src=\"cee34c650af3f8f9d2509ff6a532d72b.png\" \/>"
],
[
"\\smile \\frown \\wr \\triangleleft \\triangleright\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\smile \\frown \\wr \\triangleleft \\triangleright\\!\" src=\"21ac72c7b055e08569958c900c80fc2c.png\" \/>"
],
[
"\\diamondsuit, \\heartsuit, \\clubsuit, \\spadesuit, \\Game, \\flat, \\natural, \\sharp \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\diamondsuit, \\heartsuit, \\clubsuit, \\spadesuit, \\Game, \\flat, \\natural, \\sharp \\!\" src=\"0c2b0cc6b1aec3eef3dd4ea2a2577cfd.png\" \/>"
],
[
"\\diagup \\diagdown \\centerdot \\ltimes \\rtimes \\leftthreetimes \\rightthreetimes \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\diagup \\diagdown \\centerdot \\ltimes \\rtimes \\leftthreetimes \\rightthreetimes \\!\" src=\"db4e3633a6cb328d58e994d8902e214c.png\" \/>"
],
[
"\\eqcirc \\circeq \\triangleq \\bumpeq \\Bumpeq \\doteqdot \\risingdotseq \\fallingdotseq \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\eqcirc \\circeq \\triangleq \\bumpeq \\Bumpeq \\doteqdot \\risingdotseq \\fallingdotseq \\!\" src=\"62167659ee6ffb21c81d130f9444aaeb.png\" \/>"
],
[
"\\intercal \\barwedge \\veebar \\doublebarwedge \\between \\pitchfork \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\intercal \\barwedge \\veebar \\doublebarwedge \\between \\pitchfork \\!\" src=\"77c1d9d38e2af63f15deb3bfab0a75e8.png\" \/>"
],
[
"\\vartriangleleft \\ntriangleleft \\vartriangleright \\ntriangleright \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\vartriangleleft \\ntriangleleft \\vartriangleright \\ntriangleright \\!\" src=\"22942360063a4b9991511ce68a0461b8.png\" \/>"
],
[
"\\trianglelefteq \\ntrianglelefteq \\trianglerighteq \\ntrianglerighteq \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\trianglelefteq \\ntrianglelefteq \\trianglerighteq \\ntrianglerighteq \\!\" src=\"314bd37d48aa31ee670ae3c5c94e4663.png\" \/>"
],
[
"a^2",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"a^2\" src=\"a4791fd2e334993453b00d036ab792af.png\" \/>"
],
[
"a_2",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"a_2\" src=\"0f768ac5d5dea8d93716a27da05871de.png\" \/>"
],
[
"10^{30} a^{2+2}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"10^{30} a^{2+2}\" src=\"32ca3769f0845a739d1905190921cfbf.png\" \/>"
],
[
"a_{i,j} b_{f'}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"a_{i,j} b_{f&#039;}\" src=\"0f4147d22d4fd86b0b1ae03159179f75.png\" \/>"
],
[
"x_2^3",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"x_2^3\" src=\"1d368948190fdda83d5a2a398b1c1927.png\" \/>"
],
[
"{x_2}^3 \\,\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"{x_2}^3 \\,\\!\" src=\"a168479afc14eaf30f911f14100be89d.png\" \/>"
],
[
"10^{10^{8}}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"10^{10^{8}}\" src=\"9c6e0dad7a12f5eb70209bc235df2e3a.png\" \/>"
],
[
"\\sideset{_1^2}{_3^4}\\prod_a^b",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sideset{_1^2}{_3^4}\\prod_a^b\" src=\"bd00243bd391e7d7401aa59203f59981.png\" \/>"
],
[
"{}_1^2\\!\\Omega_3^4",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"{}_1^2\\!\\Omega_3^4\" src=\"15ba0b09e81e31854db164051a52502e.png\" \/>"
],
[
"\\overset{\\alpha}{\\omega}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\overset{\\alpha}{\\omega}\" src=\"fd91a9665d330097d6f847e140a0bf09.png\" \/>"
],
[
"\\underset{\\alpha}{\\omega}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\underset{\\alpha}{\\omega}\" src=\"d75cfe5f3b21632bdc8c274d9690a4a6.png\" \/>"
],
[
"\\overset{\\alpha}{\\underset{\\gamma}{\\omega}}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\overset{\\alpha}{\\underset{\\gamma}{\\omega}}\" src=\"ad6263e136435be19ea5761d672622e9.png\" \/>"
],
[
"\\stackrel{\\alpha}{\\omega}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\stackrel{\\alpha}{\\omega}\" src=\"de51915eed5826ec13b061539f249359.png\" \/>"
],
[
"x', y'', f', f''",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"x&#039;, y&#039;&#039;, f&#039;, f&#039;&#039;\" src=\"38198fd7fa831b8cca706fe92505c726.png\" \/>"
],
[
"x^\\prime, y^{\\prime\\prime}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"x^\\prime, y^{\\prime\\prime}\" src=\"3f8892c43f66700333f11c45029e30ac.png\" \/>"
],
[
"\\dot{x}, \\ddot{x}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\dot{x}, \\ddot{x}\" src=\"28c4f624dc02d1e01adde0928c45ff07.png\" \/>"
],
[
" \\hat a \\ \\bar b \\ \\vec c",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\" \\hat a \\ \\bar b \\ \\vec c\" src=\"93f5427e14ad2339f6905e1141f52d38.png\" \/>"
],
[
" \\overrightarrow{a b} \\ \\overleftarrow{c d} \\ \\widehat{d e f}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\" \\overrightarrow{a b} \\ \\overleftarrow{c d} \\ \\widehat{d e f}\" src=\"068086b5de6bf21adea301df3efffbf7.png\" \/>"
],
[
" \\overline{g h i} \\ \\underline{j k l}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\" \\overline{g h i} \\ \\underline{j k l}\" src=\"849f4d97e037fc2cf06b1257d31b67a9.png\" \/>"
],
[
"\\overset{\\frown} {AB}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\overset{\\frown} {AB}\" src=\"8748475980cbfc9c9028b4b298d2f438.png\" \/>"
],
[
" A \\xleftarrow{n+\\mu-1} B \\xrightarrow[T]{n\\pm i-1} C",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\" A \\xleftarrow{n+\\mu-1} B \\xrightarrow[T]{n\\pm i-1} C\" src=\"ce50e9216ca80ae92251cbdeea7ce134.png\" \/>"
],
[
"\\overbrace{ 1+2+\\cdots+100 }^{5050}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\overbrace{ 1+2+\\cdots+100 }^{5050}\" src=\"eae794abb74d6c73dc96eaa994cc0a16.png\" \/>"
],
[
"\\underbrace{ a+b+\\cdots+z }_{26}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\underbrace{ a+b+\\cdots+z }_{26}\" src=\"32035dea97452b31b44d084f90bd66a6.png\" \/>"
],
[
"\\sum_{k=1}^N k^2",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sum_{k=1}^N k^2\" src=\"3187b0dd4e53e474d81e26f775c1cdfa.png\" \/>"
],
[
"\\textstyle \\sum_{k=1}^N k^2",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\textstyle \\sum_{k=1}^N k^2\" src=\"ee6fd1bafe0faa5913e5cf53d90096fa.png\" \/>"
],
[
"\\frac{\\sum_{k=1}^N k^2}{a}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\frac{\\sum_{k=1}^N k^2}{a}\" src=\"e4b2e0205d7b4bc8dfdd8bfb4fa6986e.png\" \/>"
],
[
"\\frac{\\displaystyle \\sum_{k=1}^N k^2}{a}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\frac{\\displaystyle \\sum_{k=1}^N k^2}{a}\" src=\"8c1e37db35417fd592a89614b954327d.png\" \/>"
],
[
"\\frac{\\sum\\limits^{^N}_{k=1} k^2}{a}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\frac{\\sum\\limits^{^N}_{k=1} k^2}{a}\" src=\"f6e3e304b3ee1d87ebb949075e8839e4.png\" \/>"
],
[
"\\prod_{i=1}^N x_i",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\prod_{i=1}^N x_i\" src=\"f2be40a3bca3b9cc59559468999c5a9d.png\" \/>"
],
[
"\\textstyle \\prod_{i=1}^N x_i",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\textstyle \\prod_{i=1}^N x_i\" src=\"65b9b87b09704b4e4301e774de4c57ae.png\" \/>"
],
[
"\\coprod_{i=1}^N x_i",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\coprod_{i=1}^N x_i\" src=\"d684b776e6e99aaa14db27115904c5bf.png\" \/>"
],
[
"\\textstyle \\coprod_{i=1}^N x_i",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\textstyle \\coprod_{i=1}^N x_i\" src=\"14a11d376f41516ee499e2830f056523.png\" \/>"
],
[
"\\lim_{n \\to \\infty}x_n",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\lim_{n \\to \\infty}x_n\" src=\"f64f3526ec6d389a67c3e13dbf609dc9.png\" \/>"
],
[
"\\textstyle \\lim_{n \\to \\infty}x_n",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\textstyle \\lim_{n \\to \\infty}x_n\" src=\"1c00b7e0e828c0f44e484919b9e0174e.png\" \/>"
],
[
"\\int\\limits_{1}^{3}\\frac{e^3\/x}{x^2}\\, dx",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\int\\limits_{1}^{3}\\frac{e^3\/x}{x^2}\\, dx\" src=\"40764d04d428b630657f305cba34c985.png\" \/>"
],
[
"\\int_{1}^{3}\\frac{e^3\/x}{x^2}\\, dx",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\int_{1}^{3}\\frac{e^3\/x}{x^2}\\, dx\" src=\"d5e7d8bdc59d07349b3966578895a93f.png\" \/>"
],
[
"\\textstyle \\int\\limits_{-N}^{N} e^x\\, dx",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\textstyle \\int\\limits_{-N}^{N} e^x\\, dx\" src=\"9194fdfb9704fa475c5ae486a56041ea.png\" \/>"
],
[
"\\textstyle \\int_{-N}^{N} e^x\\, dx",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\textstyle \\int_{-N}^{N} e^x\\, dx\" src=\"1726000a5a8e3c02cea114e5b545941c.png\" \/>"
],
[
"\\iint\\limits_D \\, dx\\,dy",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\iint\\limits_D \\, dx\\,dy\" src=\"4abac8d616c5670900504ddce25a4a4b.png\" \/>"
],
[
"\\iiint\\limits_E \\, dx\\,dy\\,dz",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\iiint\\limits_E \\, dx\\,dy\\,dz\" src=\"6e9a4e709d965b32de1ab3d16aca388a.png\" \/>"
],
[
"\\iiiint\\limits_F \\, dx\\,dy\\,dz\\,dt",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\iiiint\\limits_F \\, dx\\,dy\\,dz\\,dt\" src=\"49005f50f3ba2dfade3a265ebe363ee9.png\" \/>"
],
[
"\\int_{(x,y)\\in C} x^3\\, dx + 4y^2\\, dy",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\int_{(x,y)\\in C} x^3\\, dx + 4y^2\\, dy\" src=\"cfcc65ff7c8970aac316f359a9aaf928.png\" \/>"
],
[
"\\oint_{(x,y)\\in C} x^3\\, dx + 4y^2\\, dy",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\oint_{(x,y)\\in C} x^3\\, dx + 4y^2\\, dy\" src=\"d6c5bf8e05426a4b56804937b9ffb559.png\" \/>"
],
[
"\\bigcap_{i=_1}^n E_i",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\bigcap_{i=_1}^n E_i\" src=\"83d87c98d958c7c2db86180b49230b65.png\" \/>"
],
[
"\\bigcup_{i=_1}^n E_i",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\bigcup_{i=_1}^n E_i\" src=\"e6409717ec9d63567a34f9d1173ce2ae.png\" \/>"
],
[
"\\frac{2}{4}=0.5",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\frac{2}{4}=0.5\" src=\"46dc0b34e0ab4e944a437720a4431d6c.png\" \/>"
],
[
"\\tfrac{2}{4} = 0.5",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\tfrac{2}{4} = 0.5\" src=\"284667fc4a92790093aa59b61b3667a0.png\" \/>"
],
[
"\\dfrac{2}{4} = 0.5 \\qquad \\dfrac{2}{c + \\dfrac{2}{d + \\dfrac{2}{4}}} = a",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\dfrac{2}{4} = 0.5 \\qquad \\dfrac{2}{c + \\dfrac{2}{d + \\dfrac{2}{4}}} = a\" src=\"5a37ae94a95c7dd603c20cd4fbe8d9e9.png\" \/>"
],
[
"\\cfrac{2}{c + \\cfrac{2}{d + \\cfrac{2}{4}}} = a",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\cfrac{2}{c + \\cfrac{2}{d + \\cfrac{2}{4}}} = a\" src=\"6d099c02b3faf73f9320656217415906.png\" \/>"
],
[
"\\cfrac{x}{1 + \\cfrac{\\cancel{y}}{\\cancel{y}}} = \\cfrac{x}{2}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\cfrac{x}{1 + \\cfrac{\\cancel{y}}{\\cancel{y}}} = \\cfrac{x}{2}\" src=\"fa001cd2dd438152e45a44591f235148.png\" \/>"
],
[
"\\binom{n}{k}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\binom{n}{k}\" src=\"6b2be63a1b8e310465d1b538e2d7d71b.png\" \/>"
],
[
"\\tbinom{n}{k}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\tbinom{n}{k}\" src=\"8482b29cc0af31fa35ff6bf04200b265.png\" \/>"
],
[
"\\dbinom{n}{k}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\dbinom{n}{k}\" src=\"c44601a9dbb85dfb88868c14dc54c8ef.png\" \/>"
],
[
"\\begin{matrix} x & y \\\\ z & v\n\\end{matrix}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\begin{matrix} x &amp; y \\\\ z &amp; v&#10;\\end{matrix}\" src=\"b99890966e1b997497211428f8e3419d.png\" \/>"
],
[
"\\begin{vmatrix} x & y \\\\ z & v\n\\end{vmatrix}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\begin{vmatrix} x &amp; y \\\\ z &amp; v&#10;\\end{vmatrix}\" src=\"92b8f0e57848a80b4babd2ba93775370.png\" \/>"
],
[
"\\begin{Vmatrix} x & y \\\\ z & v\n\\end{Vmatrix}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\begin{Vmatrix} x &amp; y \\\\ z &amp; v&#10;\\end{Vmatrix}\" src=\"bba5bfd11057dbb202307584eed8f2dc.png\" \/>"
],
[
"\\begin{bmatrix} 0 & \\cdots & 0 \\\\ \\vdots\n& \\ddots & \\vdots \\\\ 0 & \\cdots &\n0\\end{bmatrix} ",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\begin{bmatrix} 0 &amp; \\cdots &amp; 0 \\\\ \\vdots&#10;&amp; \\ddots &amp; \\vdots \\\\ 0 &amp; \\cdots &amp;&#10;0\\end{bmatrix} \" src=\"81a12a09ac84853e3d25323b8643c630.png\" \/>"
],
[
"\\begin{Bmatrix} x & y \\\\ z & v\n\\end{Bmatrix}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\begin{Bmatrix} x &amp; y \\\\ z &amp; v&#10;\\end{Bmatrix}\" src=\"bf7244e2842c8a7d55892e229560d5c1.png\" \/>"
],
[
"\\begin{pmatrix} x & y \\\\ z & v\n\\end{pmatrix}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\begin{pmatrix} x &amp; y \\\\ z &amp; v&#10;\\end{pmatrix}\" src=\"444df88e616def4e275b4e920c7b872e.png\" \/>"
],
[
"\n\\bigl( \\begin{smallmatrix}\na&b\\\\ c&d\n\\end{smallmatrix} \\bigr)\n",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"&#10;\\bigl( \\begin{smallmatrix}&#10;a&amp;b\\\\ c&amp;d&#10;\\end{smallmatrix} \\bigr)&#10;\" src=\"cd49bbc188dce0f93fef57312af5a106.png\" \/>"
],
[
"f(n) =\n\\begin{cases}\nn\/2, & \\text{if }n\\text{ is even} \\\\\n3n+1, & \\text{if }n\\text{ is odd}\n\\end{cases} ",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"f(n) =&#10;\\begin{cases}&#10;n\/2, &amp; \\text{if }n\\text{ is even} \\\\&#10;3n+1, &amp; \\text{if }n\\text{ is odd}&#10;\\end{cases} \" src=\"98503cc6876b22f5900297971fdd42ed.png\" \/>"
],
[
"\n\\begin{align}\nf(x) & = (a+b)^2 \\\\\n& = a^2+2ab+b^2 \\\\\n\\end{align}\n",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"&#10;\\begin{align}&#10;f(x) &amp; = (a+b)^2 \\\\&#10;&amp; = a^2+2ab+b^2 \\\\&#10;\\end{align}&#10;\" src=\"2c50960e8bcfd9e86527a123a0c43aa2.png\" \/>"
],
[
"\n\\begin{alignat}{2}\nf(x) & = (a-b)^2 \\\\\n& = a^2-2ab+b^2 \\\\\n\\end{alignat}\n",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"&#10;\\begin{alignat}{2}&#10;f(x) &amp; = (a-b)^2 \\\\&#10;&amp; = a^2-2ab+b^2 \\\\&#10;\\end{alignat}&#10;\" src=\"fe45a0df3e20bc5caf718e5333678d08.png\" \/>"
],
[
"\\begin{array}{lcl}\nz & = & a \\\\\nf(x,y,z) & = & x + y + z\n\\end{array}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\begin{array}{lcl}&#10;z &amp; = &amp; a \\\\&#10;f(x,y,z) &amp; = &amp; x + y + z&#10;\\end{array}\" src=\"9bf19115bb27237fa997ca93b94ad217.png\" \/>"
],
[
"\\begin{array}{lcr}\nz & = & a \\\\\nf(x,y,z) & = & x + y + z\n\\end{array}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\begin{array}{lcr}&#10;z &amp; = &amp; a \\\\&#10;f(x,y,z) &amp; = &amp; x + y + z&#10;\\end{array}\" src=\"02ae32735e1e21ba3b05984289fd2763.png\" \/>"
],
[
"f(x) \\,\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"f(x) \\,\\!\" src=\"8dfae20000a042d8e9047aad1d7e171e.png\" \/>"
],
[
"= \\sum_{n=0}^\\infty a_n x^n ",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"= \\sum_{n=0}^\\infty a_n x^n \" src=\"6633d51d63b35281d030755a6b0aebb1.png\" \/>"
],
[
"= a_0+a_1x+a_2x^2+\\cdots",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"= a_0+a_1x+a_2x^2+\\cdots\" src=\"fe3e268382fd486e8572daf895bd4c9d.png\" \/>"
],
[
"f(x) \\,\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"f(x) \\,\\!\" src=\"8dfae20000a042d8e9047aad1d7e171e.png\" \/>"
],
[
"= \\sum_{n=0}^\\infty a_n x^n ",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"= \\sum_{n=0}^\\infty a_n x^n \" src=\"6633d51d63b35281d030755a6b0aebb1.png\" \/>"
],
[
"= a_0 +a_1x+a_2x^2+\\cdots",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"= a_0 +a_1x+a_2x^2+\\cdots\" src=\"fe3e268382fd486e8572daf895bd4c9d.png\" \/>"
],
[
"\\begin{cases} 3x + 5y + z \\\\ 7x - 2y + 4z \\\\ -6x + 3y + 2z \\end{cases}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\begin{cases} 3x + 5y + z \\\\ 7x - 2y + 4z \\\\ -6x + 3y + 2z \\end{cases}\" src=\"6349be04b3562fc215c7a4e130422a96.png\" \/>"
],
[
"\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",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"&#10;\\begin{array}{|c|c||c|} a &amp; b &amp; S \\\\&#10;\\hline&#10;0&amp;0&amp;1\\\\&#10;0&amp;1&amp;1\\\\&#10;1&amp;0&amp;1\\\\&#10;1&amp;1&amp;0\\\\&#10;\\end{array}&#10;\" src=\"9151e94ef2bb52c18176dbe4c11921ed.png\" \/>"
],
[
"( \\frac{1}{2} )",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"( \\frac{1}{2} )\" src=\"40ad9d3d1fc9a61e16d22d7e3f854fec.png\" \/>"
],
[
"\\left ( \\frac{1}{2} \\right )",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\left ( \\frac{1}{2} \\right )\" src=\"28bcd5b82ce0e92b25e8a0b4bd5be215.png\" \/>"
],
[
"\\left ( \\frac{a}{b} \\right )",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\left ( \\frac{a}{b} \\right )\" src=\"2905969500b40b2f2c7078206e7e0e81.png\" \/>"
],
[
"\\left [ \\frac{a}{b} \\right ] \\quad \\left \\lbrack \\frac{a}{b} \\right \\rbrack",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\left [ \\frac{a}{b} \\right ] \\quad \\left \\lbrack \\frac{a}{b} \\right \\rbrack\" src=\"7cb5a74153ec87cdda6b92669ba685e1.png\" \/>"
],
[
"\\left \\{ \\frac{a}{b} \\right \\} \\quad \\left \\lbrace \\frac{a}{b} \\right \\rbrace",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\left \\{ \\frac{a}{b} \\right \\} \\quad \\left \\lbrace \\frac{a}{b} \\right \\rbrace\" src=\"805b2e61cb380736d5366bccb844b1c7.png\" \/>"
],
[
"\\left \\langle \\frac{a}{b} \\right \\rangle",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\left \\langle \\frac{a}{b} \\right \\rangle\" src=\"d06e733ce705ed26a7e048dbd2945371.png\" \/>"
],
[
"\\left | \\frac{a}{b} \\right \\vert \\quad \\left \\Vert \\frac{c}{d} \\right \\|",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\left | \\frac{a}{b} \\right \\vert \\quad \\left \\Vert \\frac{c}{d} \\right \\|\" src=\"809fc4791f12abb16a5f9611a43469f9.png\" \/>"
],
[
"\\left \\lfloor \\frac{a}{b} \\right \\rfloor \\quad \\left \\lceil \\frac{c}{d} \\right \\rceil",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\left \\lfloor \\frac{a}{b} \\right \\rfloor \\quad \\left \\lceil \\frac{c}{d} \\right \\rceil\" src=\"14c563a841b6c01dd13c5f3fa90845a1.png\" \/>"
],
[
"\\left \/ \\frac{a}{b} \\right \\backslash",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\left \/ \\frac{a}{b} \\right \\backslash\" src=\"2f3c5907c0a4fc4fda69eb71890ce952.png\" \/>"
],
[
"\\left \\uparrow \\frac{a}{b} \\right \\downarrow \\quad \\left \\Uparrow \\frac{a}{b} \\right \\Downarrow \\quad \\left \\updownarrow \\frac{a}{b} \\right \\Updownarrow",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\left \\uparrow \\frac{a}{b} \\right \\downarrow \\quad \\left \\Uparrow \\frac{a}{b} \\right \\Downarrow \\quad \\left \\updownarrow \\frac{a}{b} \\right \\Updownarrow\" src=\"de73c9252b269fb79408d6f791b5c3de.png\" \/>"
],
[
"\\left [ 0,1 \\right )",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\left [ 0,1 \\right )\" src=\"a38771eae1778d0e214f6596a8dc1337.png\" \/>"
],
[
"\\left \\langle \\psi \\right |",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\left \\langle \\psi \\right |\" src=\"da25fc177fd4c53a2c3399c25685dd4c.png\" \/>"
],
[
"\\left . \\frac{A}{B} \\right \\} \\to X",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\left . \\frac{A}{B} \\right \\} \\to X\" src=\"b71d82a3ed5c1a72ded46efc19ecc582.png\" \/>"
],
[
"\\big( \\Big( \\bigg( \\Bigg( \\dots \\Bigg] \\bigg] \\Big] \\big]",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\big( \\Big( \\bigg( \\Bigg( \\dots \\Bigg] \\bigg] \\Big] \\big]\" src=\"642a7988a93248dd92f1a53804cd40aa.png\" \/>"
],
[
"\\big\\{ \\Big\\{ \\bigg\\{ \\Bigg\\{ \\dots \\Bigg\\rangle \\bigg\\rangle \\Big\\rangle \\big\\rangle",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\big\\{ \\Big\\{ \\bigg\\{ \\Bigg\\{ \\dots \\Bigg\\rangle \\bigg\\rangle \\Big\\rangle \\big\\rangle\" src=\"a3c9de0fb4f73e62e457cc7c91c5f6f0.png\" \/>"
],
[
"\\big\\| \\Big\\| \\bigg\\| \\Bigg\\| \\dots \\Bigg| \\bigg| \\Big| \\big|",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\big\\| \\Big\\| \\bigg\\| \\Bigg\\| \\dots \\Bigg| \\bigg| \\Big| \\big|\" src=\"0445cc925a6ea0bd478a8f5fefc3633c.png\" \/>"
],
[
"\\big\\lfloor \\Big\\lfloor \\bigg\\lfloor \\Bigg\\lfloor \\dots \\Bigg\\rceil \\bigg\\rceil \\Big\\rceil \\big\\rceil",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\big\\lfloor \\Big\\lfloor \\bigg\\lfloor \\Bigg\\lfloor \\dots \\Bigg\\rceil \\bigg\\rceil \\Big\\rceil \\big\\rceil\" src=\"94c286b66620b6e5cd43c5cc20fe1a22.png\" \/>"
],
[
"\\big\\uparrow \\Big\\uparrow \\bigg\\uparrow \\Bigg\\uparrow \\dots \\Bigg\\Downarrow \\bigg\\Downarrow \\Big\\Downarrow \\big\\Downarrow",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\big\\uparrow \\Big\\uparrow \\bigg\\uparrow \\Bigg\\uparrow \\dots \\Bigg\\Downarrow \\bigg\\Downarrow \\Big\\Downarrow \\big\\Downarrow\" src=\"e16f28e8e168f07f25b7a0162ccc2866.png\" \/>"
],
[
"\\big\\updownarrow \\Big\\updownarrow \\bigg\\updownarrow \\Bigg\\updownarrow \\dots \\Bigg\\Updownarrow \\bigg\\Updownarrow \\Big\\Updownarrow \\big\\Updownarrow",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\big\\updownarrow \\Big\\updownarrow \\bigg\\updownarrow \\Bigg\\updownarrow \\dots \\Bigg\\Updownarrow \\bigg\\Updownarrow \\Big\\Updownarrow \\big\\Updownarrow\" src=\"d30b4b79fa453480ad0a50be8dfd8911.png\" \/>"
],
[
"\\big \/ \\Big \/ \\bigg \/ \\Bigg \/ \\dots \\Bigg\\backslash \\bigg\\backslash \\Big\\backslash \\big\\backslash",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\big \/ \\Big \/ \\bigg \/ \\Bigg \/ \\dots \\Bigg\\backslash \\bigg\\backslash \\Big\\backslash \\big\\backslash\" src=\"f01a0b3277fdff89f7dee39c2d6f7928.png\" \/>"
],
[
"x^2 + y^2 + z^2 = 1 \\,",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"x^2 + y^2 + z^2 = 1 \\,\" src=\"65f59a1d3fcd866ff10d5e3ac57f991e.png\" \/>"
],
[
"\\Alpha \\Beta \\Gamma \\Delta \\Epsilon \\Zeta \\Eta \\Theta \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Alpha \\Beta \\Gamma \\Delta \\Epsilon \\Zeta \\Eta \\Theta \\!\" src=\"a7a8e6bbde24e99f9dab00c840f9483d.png\" \/>"
],
[
"\\Iota \\Kappa \\Lambda \\Mu \\Nu \\Xi \\Pi \\Rho \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Iota \\Kappa \\Lambda \\Mu \\Nu \\Xi \\Pi \\Rho \\!\" src=\"5052faf817c1a445941f4005983fdc63.png\" \/>"
],
[
"\\Sigma \\Tau \\Upsilon \\Phi \\Chi \\Psi \\Omega \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Sigma \\Tau \\Upsilon \\Phi \\Chi \\Psi \\Omega \\!\" src=\"9d97dae2e9b62c1c9b6c104ef5eac475.png\" \/>"
],
[
"\\alpha \\beta \\gamma \\delta \\epsilon \\zeta \\eta \\theta \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\alpha \\beta \\gamma \\delta \\epsilon \\zeta \\eta \\theta \\!\" src=\"9fef94989f0aefed4c953823bd945e89.png\" \/>"
],
[
"\\iota \\kappa \\lambda \\mu \\nu \\xi \\pi \\rho \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\iota \\kappa \\lambda \\mu \\nu \\xi \\pi \\rho \\!\" src=\"dd438c310fdd611181d2d78eeca09d6f.png\" \/>"
],
[
"\\sigma \\tau \\upsilon \\phi \\chi \\psi \\omega \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sigma \\tau \\upsilon \\phi \\chi \\psi \\omega \\!\" src=\"c5a0f66abb41232d4d6e6e79954e3ee2.png\" \/>"
],
[
"\\varepsilon \\digamma \\varkappa \\varpi \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\varepsilon \\digamma \\varkappa \\varpi \\!\" src=\"d393ba319387b0c29b54c3488101e21b.png\" \/>"
],
[
"\\varrho \\varsigma \\vartheta \\varphi \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\varrho \\varsigma \\vartheta \\varphi \\!\" src=\"40714b7031faeacd49b6f8e23a529b7f.png\" \/>"
],
[
"\\aleph \\beth \\gimel \\daleth \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\aleph \\beth \\gimel \\daleth \\!\" src=\"d02fa3b52ced52aa798b674ea5710116.png\" \/>"
],
[
"\\mathbb{ABCDEFGHI} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathbb{ABCDEFGHI} \\!\" src=\"16b49d7cbcbe69f78f5b039e1082eb21.png\" \/>"
],
[
"\\mathbb{JKLMNOPQR} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathbb{JKLMNOPQR} \\!\" src=\"59834bc6366bc6bd065b46c9da28b81f.png\" \/>"
],
[
"\\mathbb{STUVWXYZ} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathbb{STUVWXYZ} \\!\" src=\"f8cecba104ecf7248d1e8624ea4f97ad.png\" \/>"
],
[
"\\mathbf{ABCDEFGHI} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathbf{ABCDEFGHI} \\!\" src=\"a007c39fe7cdcaac5787780cd59f9863.png\" \/>"
],
[
"\\mathbf{JKLMNOPQR} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathbf{JKLMNOPQR} \\!\" src=\"d576d3e20c41ffb373b3aa2666f84631.png\" \/>"
],
[
"\\mathbf{STUVWXYZ} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathbf{STUVWXYZ} \\!\" src=\"d63658e6be16cb35c5eeddd9af0d0456.png\" \/>"
],
[
"\\mathbf{abcdefghijklm} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathbf{abcdefghijklm} \\!\" src=\"746a58465658c7ce27865b5874b866de.png\" \/>"
],
[
"\\mathbf{nopqrstuvwxyz} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathbf{nopqrstuvwxyz} \\!\" src=\"7a2d9be40a985f3f4062e810aa82850f.png\" \/>"
],
[
"\\mathbf{0123456789} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathbf{0123456789} \\!\" src=\"b58f56dec00a8c4058e96f4868dfaf38.png\" \/>"
],
[
"\\boldsymbol{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta\\Theta} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\boldsymbol{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta\\Theta} \\!\" src=\"53c4c980272d709263a0ec407ce9f000.png\" \/>"
],
[
"\\boldsymbol{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\boldsymbol{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho} \\!\" src=\"e68389a7314c09b14444e535f71e853c.png\" \/>"
],
[
"\\boldsymbol{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\boldsymbol{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega} \\!\" src=\"72f30cfb281ddfdbd437f17eab32dfde.png\" \/>"
],
[
"\\boldsymbol{\\alpha\\beta\\gamma\\delta\\epsilon\\zeta\\eta\\theta} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\boldsymbol{\\alpha\\beta\\gamma\\delta\\epsilon\\zeta\\eta\\theta} \\!\" src=\"c3d73d4055fbe3c3631848bc0317a0c5.png\" \/>"
],
[
"\\boldsymbol{\\iota\\kappa\\lambda\\mu\\nu\\xi\\pi\\rho} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\boldsymbol{\\iota\\kappa\\lambda\\mu\\nu\\xi\\pi\\rho} \\!\" src=\"d8bf62dcf94457cebec14434b72e3f62.png\" \/>"
],
[
"\\boldsymbol{\\sigma\\tau\\upsilon\\phi\\chi\\psi\\omega} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\boldsymbol{\\sigma\\tau\\upsilon\\phi\\chi\\psi\\omega} \\!\" src=\"3801c81d051bce44677f49e7d9069dd5.png\" \/>"
],
[
"\\boldsymbol{\\varepsilon\\digamma\\varkappa\\varpi} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\boldsymbol{\\varepsilon\\digamma\\varkappa\\varpi} \\!\" src=\"27b172a5d4d90f193347807c2828a142.png\" \/>"
],
[
"\\boldsymbol{\\varrho\\varsigma\\vartheta\\varphi} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\boldsymbol{\\varrho\\varsigma\\vartheta\\varphi} \\!\" src=\"9dc6a867e48fba8d25fdd599b6330f4f.png\" \/>"
],
[
"\\mathit{0123456789} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathit{0123456789} \\!\" src=\"96846c8042557a593245c9adbfadcf67.png\" \/>"
],
[
"\\mathit{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta\\Theta} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathit{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta\\Theta} \\!\" src=\"ca124a231c239009f51303d8ac514eff.png\" \/>"
],
[
"\\mathit{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathit{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho} \\!\" src=\"bfa30e6555a2803a938815fbee4a2c0a.png\" \/>"
],
[
"\\mathit{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathit{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega} \\!\" src=\"b2ddf1062667a4ba071276d7368fe453.png\" \/>"
],
[
"\\mathrm{ABCDEFGHI} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathrm{ABCDEFGHI} \\!\" src=\"3d36032a7983b4c8da9148beaf789055.png\" \/>"
],
[
"\\mathrm{JKLMNOPQR} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathrm{JKLMNOPQR} \\!\" src=\"a9d3a8ae5e05b7bd96f20871e0c1cb96.png\" \/>"
],
[
"\\mathrm{STUVWXYZ} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathrm{STUVWXYZ} \\!\" src=\"ea8b007cc18c226d2143fd4c43f0cca4.png\" \/>"
],
[
"\\mathrm{abcdefghijklm} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathrm{abcdefghijklm} \\!\" src=\"9f6eb1d0200709ff7caf09f99faa4bd4.png\" \/>"
],
[
"\\mathrm{nopqrstuvwxyz} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathrm{nopqrstuvwxyz} \\!\" src=\"b8dbd6a0585c8b2ce9094a777e2e716e.png\" \/>"
],
[
"\\mathrm{0123456789} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathrm{0123456789} \\!\" src=\"f68e3877be64b002381f33959430445c.png\" \/>"
],
[
"\\mathsf{ABCDEFGHI} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathsf{ABCDEFGHI} \\!\" src=\"8a3b93220f8167b67275c84486fbfefd.png\" \/>"
],
[
"\\mathsf{JKLMNOPQR} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathsf{JKLMNOPQR} \\!\" src=\"c846a434b8192403806e5afa67cb56c8.png\" \/>"
],
[
"\\mathsf{STUVWXYZ} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathsf{STUVWXYZ} \\!\" src=\"465dc4c154760665cb218bf372b5077b.png\" \/>"
],
[
"\\mathsf{abcdefghijklm} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathsf{abcdefghijklm} \\!\" src=\"ee0e512b5e7b926eb2ad3ccb2e97f99e.png\" \/>"
],
[
"\\mathsf{nopqrstuvwxyz} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathsf{nopqrstuvwxyz} \\!\" src=\"c681c7261b4988870a4d21531838e1ff.png\" \/>"
],
[
"\\mathsf{0123456789} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathsf{0123456789} \\!\" src=\"4c0a1005670f8615d3f6a5e2a3f7ebae.png\" \/>"
],
[
"\\mathsf{\\Alpha \\Beta \\Gamma \\Delta \\Epsilon \\Zeta \\Eta \\Theta} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathsf{\\Alpha \\Beta \\Gamma \\Delta \\Epsilon \\Zeta \\Eta \\Theta} \\!\" src=\"563865ef112b2951163ce8e1069f9f8e.png\" \/>"
],
[
"\\mathsf{\\Iota \\Kappa \\Lambda \\Mu \\Nu \\Xi \\Pi \\Rho} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathsf{\\Iota \\Kappa \\Lambda \\Mu \\Nu \\Xi \\Pi \\Rho} \\!\" src=\"cdaf253be44a861a7d892226543e6672.png\" \/>"
],
[
"\\mathsf{\\Sigma \\Tau \\Upsilon \\Phi \\Chi \\Psi \\Omega}\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathsf{\\Sigma \\Tau \\Upsilon \\Phi \\Chi \\Psi \\Omega}\\!\" src=\"d3df02b6333f8234da8af066da224e14.png\" \/>"
],
[
"\\mathcal{ABCDEFGHI} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathcal{ABCDEFGHI} \\!\" src=\"d728a6ce6448bfd13bfee7b34b988477.png\" \/>"
],
[
"\\mathcal{JKLMNOPQR} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathcal{JKLMNOPQR} \\!\" src=\"231d55516d700b93504c5391b0bbd482.png\" \/>"
],
[
"\\mathcal{STUVWXYZ} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathcal{STUVWXYZ} \\!\" src=\"671cdb09089e8aea4d1c10963dff47bb.png\" \/>"
],
[
"\\mathfrak{ABCDEFGHI} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathfrak{ABCDEFGHI} \\!\" src=\"1086f52f9d3b3a3409c30f9df307803d.png\" \/>"
],
[
"\\mathfrak{JKLMNOPQR} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathfrak{JKLMNOPQR} \\!\" src=\"c99678db9d429d52ea0eb02bba3b72f6.png\" \/>"
],
[
"\\mathfrak{STUVWXYZ} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathfrak{STUVWXYZ} \\!\" src=\"de83cd08cc780451bd2330d3d40b1532.png\" \/>"
],
[
"\\mathfrak{abcdefghijklm} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathfrak{abcdefghijklm} \\!\" src=\"3648203f3849eb6a103cab171143bff5.png\" \/>"
],
[
"\\mathfrak{nopqrstuvwxyz} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathfrak{nopqrstuvwxyz} \\!\" src=\"61605c6e5c504c766b330ca61d747920.png\" \/>"
],
[
"\\mathfrak{0123456789} \\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathfrak{0123456789} \\!\" src=\"d7ce6e5c0f153732ba276fbfc47f019b.png\" \/>"
],
[
"x y z",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"x y z\" src=\"d16fb36f0911f878998c136191af705e.png\" \/>"
],
[
"\\text{x y z}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\text{x y z}\" src=\"cc6e918f4c63d050ae99d4381c7bb2d5.png\" \/>"
],
[
"\\text{if} n \\text{is even}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\text{if} n \\text{is even}\" src=\"d2f16386d2a4bbd2fd4b7187fcf73a52.png\" \/>"
],
[
"\\text{if }n\\text{ is even}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\text{if }n\\text{ is even}\" src=\"82915036ba72b9f1dacfd528d40f4371.png\" \/>"
],
[
"\\text{if}~n\\ \\text{is even}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\text{if}~n\\ \\text{is even}\" src=\"971bad3f2ace3107b439f9af94476aed.png\" \/>"
],
[
"{\\color{Blue}x^2}+{\\color{YellowOrange}2x}-{\\color{OliveGreen}1}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"{\\color{Blue}x^2}+{\\color{YellowOrange}2x}-{\\color{OliveGreen}1}\" src=\"3220b8a1d12128d1ada4a82d5c3d3723.png\" \/>"
],
[
"x_{1,2}=\\frac{-b\\pm\\sqrt{\\color{Red}b^2-4ac}}{2a}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"x_{1,2}=\\frac{-b\\pm\\sqrt{\\color{Red}b^2-4ac}}{2a}\" src=\"443e636a7722cec5d8f7b005deb2433a.png\" \/>"
],
[
"e^{i \\pi} + 1 = 0",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"e^{i \\pi} + 1 = 0\" src=\"f897005615c391e14cd50112cda44665.png\" \/>"
],
[
"\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{orange}e^{i \\pi} + 1 = 0",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{orange}e^{i \\pi} + 1 = 0\" src=\"95dfa34eee8b069de07f18e7f3b43cea.png\" \/>"
],
[
"e^{i \\pi} + 1 = 0\\,\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"e^{i \\pi} + 1 = 0\\,\\!\" src=\"9e9a547076c6820b95e439dd1a5d6a32.png\" \/>"
],
[
"\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{orange}e^{i \\pi} + 1 = 0",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{orange}e^{i \\pi} + 1 = 0\" src=\"95dfa34eee8b069de07f18e7f3b43cea.png\" \/>"
],
[
"e^{i \\pi} + 1 = 0",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"e^{i \\pi} + 1 = 0\" src=\"f897005615c391e14cd50112cda44665.png\" \/>"
],
[
"\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{orange}e^{i \\pi} + 1 = 0",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{orange}e^{i \\pi} + 1 = 0\" src=\"95dfa34eee8b069de07f18e7f3b43cea.png\" \/>"
],
[
"\\color{Apricot}\\text{Apricot}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Apricot}\\text{Apricot}\" src=\"b8948aeb7bdca5bd4e18d613ac6c5696.png\" \/>"
],
[
"\\color{Aquamarine}\\text{Aquamarine}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Aquamarine}\\text{Aquamarine}\" src=\"fc435c38d6cd34147f1b0562b0e580c0.png\" \/>"
],
[
"\\color{Bittersweet}\\text{Bittersweet}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Bittersweet}\\text{Bittersweet}\" src=\"d67b10dd93c2300ee8d13b5099078d1b.png\" \/>"
],
[
"\\color{Black}\\text{Black}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Black}\\text{Black}\" src=\"364fc160f6c30914ad3d70a6bb551dc6.png\" \/>"
],
[
"\\color{Blue}\\text{Blue}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Blue}\\text{Blue}\" src=\"5f795126f5d16b97c60578f01b368cd6.png\" \/>"
],
[
"\\color{BlueGreen}\\text{BlueGreen}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{BlueGreen}\\text{BlueGreen}\" src=\"302ea2ab02b2998679c1f973dfb17395.png\" \/>"
],
[
"\\color{BlueViolet}\\text{BlueViolet}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{BlueViolet}\\text{BlueViolet}\" src=\"f7d3a6b44f64ec4d9b289bf8ac436d92.png\" \/>"
],
[
"\\color{BrickRed}\\text{BrickRed}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{BrickRed}\\text{BrickRed}\" src=\"a2f94714d1809cb3f71016db0e8c2315.png\" \/>"
],
[
"\\color{Brown}\\text{Brown}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Brown}\\text{Brown}\" src=\"99cfd151aa2998fb6b309c8c50393c32.png\" \/>"
],
[
"\\color{BurntOrange}\\text{BurntOrange}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{BurntOrange}\\text{BurntOrange}\" src=\"3e3b04676ace992e28aaa5608455a289.png\" \/>"
],
[
"\\color{CadetBlue}\\text{CadetBlue}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{CadetBlue}\\text{CadetBlue}\" src=\"fd392c22a7bb76e6203788f0a5e6584b.png\" \/>"
],
[
"\\color{CarnationPink}\\text{CarnationPink}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{CarnationPink}\\text{CarnationPink}\" src=\"6079cf2eacc794bf3e99bc9fc233e2d0.png\" \/>"
],
[
"\\color{Cerulean}\\text{Cerulean}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Cerulean}\\text{Cerulean}\" src=\"9759c3640f8f5a2cfa5cfa5c4bc64e2f.png\" \/>"
],
[
"\\color{CornflowerBlue}\\text{CornflowerBlue}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{CornflowerBlue}\\text{CornflowerBlue}\" src=\"072ea0cddb81b6996a86c5c60042fc8c.png\" \/>"
],
[
"\\color{Cyan}\\text{Cyan}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Cyan}\\text{Cyan}\" src=\"321ecf031772dbe95758cab0dfaa6f27.png\" \/>"
],
[
"\\color{Dandelion}\\text{Dandelion}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Dandelion}\\text{Dandelion}\" src=\"78686b75a31528404d2e9b365f892142.png\" \/>"
],
[
"\\color{DarkOrchid}\\text{DarkOrchid}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{DarkOrchid}\\text{DarkOrchid}\" src=\"19bc495f720e6bb920eed9545880e383.png\" \/>"
],
[
"\\color{Emerald}\\text{Emerald}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Emerald}\\text{Emerald}\" src=\"b4310eecc8d70893a71a728574dc9f0f.png\" \/>"
],
[
"\\color{ForestGreen}\\text{ForestGreen}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{ForestGreen}\\text{ForestGreen}\" src=\"b89859eb7faadeb40830600590478e6e.png\" \/>"
],
[
"\\color{Fuchsia}\\text{Fuchsia}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Fuchsia}\\text{Fuchsia}\" src=\"3073bfb913846b8b74d221b3de291348.png\" \/>"
],
[
"\\color{Goldenrod}\\text{Goldenrod}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Goldenrod}\\text{Goldenrod}\" src=\"af66a8061a03abb89bc4d205503d437f.png\" \/>"
],
[
"\\color{Gray}\\text{Gray}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Gray}\\text{Gray}\" src=\"1e5478f23b28143107d25266b55ef78a.png\" \/>"
],
[
"\\color{Green}\\text{Green}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Green}\\text{Green}\" src=\"9474b1edd45b5aefe4533543fe85bbbd.png\" \/>"
],
[
"\\color{GreenYellow}\\text{GreenYellow}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{GreenYellow}\\text{GreenYellow}\" src=\"906467f5d3fa98cfa97b4194f268d5c7.png\" \/>"
],
[
"\\color{JungleGreen}\\text{JungleGreen}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{JungleGreen}\\text{JungleGreen}\" src=\"f72158890930502ffd7dae256812f7e4.png\" \/>"
],
[
"\\color{Lavender}\\text{Lavender}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Lavender}\\text{Lavender}\" src=\"f2fa7339ac0b50f73409f1e05eb77800.png\" \/>"
],
[
"\\color{LimeGreen}\\text{LimeGreen}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{LimeGreen}\\text{LimeGreen}\" src=\"c4c5d14dea2c682d5f4148eab87e332f.png\" \/>"
],
[
"\\color{Magenta}\\text{Magenta}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Magenta}\\text{Magenta}\" src=\"d9bfd6c63b5b8c21f53e52a74a75eb97.png\" \/>"
],
[
"\\color{Mahogany}\\text{Mahogany}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Mahogany}\\text{Mahogany}\" src=\"dbb2ef205ba8d4d3586b1b9785c54c25.png\" \/>"
],
[
"\\color{Maroon}\\text{Maroon}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Maroon}\\text{Maroon}\" src=\"5861b59a922bda9d96cf03cb8a184a8a.png\" \/>"
],
[
"\\color{Melon}\\text{Melon}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Melon}\\text{Melon}\" src=\"e9b605ab8c6a1135ac9bb24e540e645b.png\" \/>"
],
[
"\\color{MidnightBlue}\\text{MidnightBlue}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{MidnightBlue}\\text{MidnightBlue}\" src=\"3c196c0de1592080c250b05208cb29c1.png\" \/>"
],
[
"\\color{Mulberry}\\text{Mulberry}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Mulberry}\\text{Mulberry}\" src=\"78fe49c7ffa31d0309ecad4e17c8533b.png\" \/>"
],
[
"\\color{NavyBlue}\\text{NavyBlue}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{NavyBlue}\\text{NavyBlue}\" src=\"b57ac6d698f2a553d1de298b8ae86f55.png\" \/>"
],
[
"\\color{OliveGreen}\\text{OliveGreen}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{OliveGreen}\\text{OliveGreen}\" src=\"1ff90d0c4e6d6901579206062701309a.png\" \/>"
],
[
"\\color{Orange}\\text{Orange}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Orange}\\text{Orange}\" src=\"1dd73f756801b262f01f87912b369339.png\" \/>"
],
[
"\\color{OrangeRed}\\text{OrangeRed}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{OrangeRed}\\text{OrangeRed}\" src=\"6df4aca479f5fa8acae9c21141636557.png\" \/>"
],
[
"\\color{Orchid}\\text{Orchid}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Orchid}\\text{Orchid}\" src=\"e03e079ac7c0138cc85bb20894e42c7d.png\" \/>"
],
[
"\\color{Peach}\\text{Peach}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Peach}\\text{Peach}\" src=\"16a4afaaa911b78f102f2e088c596715.png\" \/>"
],
[
"\\color{Periwinkle}\\text{Periwinkle}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Periwinkle}\\text{Periwinkle}\" src=\"104bee7d6969d0403571f7aa65390384.png\" \/>"
],
[
"\\color{PineGreen}\\text{PineGreen}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{PineGreen}\\text{PineGreen}\" src=\"5821d738015d4bae29a90be43c9dc760.png\" \/>"
],
[
"\\color{Plum}\\text{Plum}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Plum}\\text{Plum}\" src=\"de3328ac78da89a5e86e1917ec8fb87b.png\" \/>"
],
[
"\\color{ProcessBlue}\\text{ProcessBlue}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{ProcessBlue}\\text{ProcessBlue}\" src=\"e20ab4232d3130d086b8de76eee6b53c.png\" \/>"
],
[
"\\color{Purple}\\text{Purple}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Purple}\\text{Purple}\" src=\"fefd1c1377e3d29213e81e866583adad.png\" \/>"
],
[
"\\color{RawSienna}\\text{RawSienna}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{RawSienna}\\text{RawSienna}\" src=\"745d3d1a6a79b318a497e6fbcb57dc02.png\" \/>"
],
[
"\\color{Red}\\text{Red}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Red}\\text{Red}\" src=\"9e2052c4c91b5216205fe642a06c5ac1.png\" \/>"
],
[
"\\color{RedOrange}\\text{RedOrange}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{RedOrange}\\text{RedOrange}\" src=\"2a026699e64707b449d7c3811d752725.png\" \/>"
],
[
"\\color{RedViolet}\\text{RedViolet}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{RedViolet}\\text{RedViolet}\" src=\"2ac9ad9fbd882591f7971ff477880fe6.png\" \/>"
],
[
"\\color{Rhodamine}\\text{Rhodamine}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Rhodamine}\\text{Rhodamine}\" src=\"27d615add22f24e5689271903afd2ea8.png\" \/>"
],
[
"\\color{RoyalBlue}\\text{RoyalBlue}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{RoyalBlue}\\text{RoyalBlue}\" src=\"6e26c2a826a4d55150b804f2e71444af.png\" \/>"
],
[
"\\color{RoyalPurple}\\text{RoyalPurple}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{RoyalPurple}\\text{RoyalPurple}\" src=\"dd4a6069922baf4c048592b1bccef491.png\" \/>"
],
[
"\\color{RubineRed}\\text{RubineRed}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{RubineRed}\\text{RubineRed}\" src=\"771e441e86b10ef3db7b7cb90d9570d1.png\" \/>"
],
[
"\\color{Salmon}\\text{Salmon}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Salmon}\\text{Salmon}\" src=\"1204c3c0547f50b71bda5357deba7948.png\" \/>"
],
[
"\\color{SeaGreen}\\text{SeaGreen}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{SeaGreen}\\text{SeaGreen}\" src=\"e897b90beb4e669c01a63c3d2ac2d954.png\" \/>"
],
[
"\\color{Sepia}\\text{Sepia}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Sepia}\\text{Sepia}\" src=\"e3b0037782599bf00cec26b758627e4b.png\" \/>"
],
[
"\\color{SkyBlue}\\text{SkyBlue}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{SkyBlue}\\text{SkyBlue}\" src=\"03bc1de1505a991d0f8c2db1a9211740.png\" \/>"
],
[
"\\color{SpringGreen}\\text{SpringGreen}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{SpringGreen}\\text{SpringGreen}\" src=\"7de66b44de4a77d808c6ad47e0ba3502.png\" \/>"
],
[
"\\color{Tan}\\text{Tan}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Tan}\\text{Tan}\" src=\"6975e0f90106c5e304d39dfebc6ad1d0.png\" \/>"
],
[
"\\color{TealBlue}\\text{TealBlue}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{TealBlue}\\text{TealBlue}\" src=\"2b19a41a6ca9691cdbd5fa9f15665d5a.png\" \/>"
],
[
"\\color{Thistle}\\text{Thistle}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Thistle}\\text{Thistle}\" src=\"828c123619d3d3e078aa28bbb362c389.png\" \/>"
],
[
"\\color{Turquoise}\\text{Turquoise}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Turquoise}\\text{Turquoise}\" src=\"edbea9eb14e35cbadb5e2df41afae369.png\" \/>"
],
[
"\\color{Violet}\\text{Violet}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{Violet}\\text{Violet}\" src=\"85da72dd0a892dd3364fefd94a14cf7c.png\" \/>"
],
[
"\\color{VioletRed}\\text{VioletRed}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{VioletRed}\\text{VioletRed}\" src=\"9b5d2430fd995e45f7974583ab86db0c.png\" \/>"
],
[
"\\color{WildStrawberry}\\text{WildStrawberry}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{WildStrawberry}\\text{WildStrawberry}\" src=\"0962e3794c0315fd26b9668555ebff1c.png\" \/>"
],
[
"\\color{YellowGreen}\\text{YellowGreen}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{YellowGreen}\\text{YellowGreen}\" src=\"72a3756fa95c0da850b33ccb7b3e3900.png\" \/>"
],
[
"\\color{YellowOrange}\\text{YellowOrange}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\color{YellowOrange}\\text{YellowOrange}\" src=\"119eb093f2ffcbd3d77a13f55f185f52.png\" \/>"
],
[
"a \\qquad b",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"a \\qquad b\" src=\"e505263bc9c94f673c580f3a36a7f08a.png\" \/>"
],
[
"a \\quad b",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"a \\quad b\" src=\"da8c1d9effa4501fd80c054e59ad917d.png\" \/>"
],
[
"a\\ b",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"a\\ b\" src=\"692d4bffca8e84ffb45cf9d5facf31d6.png\" \/>"
],
[
"a \\mbox{ } b",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"a \\mbox{ } b\" src=\"a2dcf5a19724cb3344c10f6da10ad886.png\" \/>"
],
[
"a\\;b",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"a\\;b\" src=\"b5ade5d5393fd7727bf77fa44ec8b564.png\" \/>"
],
[
"a\\,b",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"a\\,b\" src=\"7bea99aed60ba5e1fe8a134ab43fa85f.png\" \/>"
],
[
"ab",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"ab\" src=\"187ef4436122d1cc2f40dc2b92f0eba0.png\" \/>"
],
[
"\\mathit{ab}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\mathit{ab}\" src=\"9eb2e32cf7426cbd216d0dca18e6584e.png\" \/>"
],
[
"a\\!b",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"a\\!b\" src=\"0fbcad5fadb912e8afa6d113a75c83e4.png\" \/>"
],
[
"0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots\" src=\"42fbce9ee33ec5113992c9a867bfddf3.png\" \/>"
],
[
"{0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"{0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots}\" src=\"d3acbcf21e8a90a92f676359b7def515.png\" \/>"
],
[
"\\int_{-N}^{N} e^x\\, dx",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\int_{-N}^{N} e^x\\, dx\" src=\"4e053ca66cfc79a2397c40aa34c66a25.png\" \/>"
],
[
"\\sum_{i=0}^\\infty 2^{-i}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sum_{i=0}^\\infty 2^{-i}\" src=\"af926e99e79600018438bc1ddea6da71.png\" \/>"
],
[
"\\text{geometric series:}\\quad \\sum_{i=0}^\\infty 2^{-i}=2 ",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\text{geometric series:}\\quad \\sum_{i=0}^\\infty 2^{-i}=2 \" src=\"4f3cab8bdfda51452401e6897c24319a.png\" \/>"
],
[
"\\iint",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\iint\" src=\"0e66f8f6b272ca5db6f0b3f1c63a7560.png\" \/>"
],
[
"\\oint",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\oint\" src=\"058bf10c50ba4ee074da24c60a590314.png\" \/>"
],
[
"\\iint\\limits_{S}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\subset\\!\\supset \\mathbf D \\cdot \\mathrm{d}\\mathbf A",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\iint\\limits_{S}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\subset\\!\\supset \\mathbf D \\cdot \\mathrm{d}\\mathbf A\" src=\"2e1f7e4168ae003494bbec19102f4967.png\" \/>"
],
[
"\\int\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc\\,\\,\\mathbf D\\cdot\\mathrm{d}\\mathbf A",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\int\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc\\,\\,\\mathbf D\\cdot\\mathrm{d}\\mathbf A\" src=\"4d0e5fd5543dece7d0ff39eff990efbb.png\" \/>"
],
[
"\\int\\!\\!\\!\\!\\!\\int\\!\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\subset\\!\\supset \\mathbf D\\cdot\\mathrm{d}\\mathbf A",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\int\\!\\!\\!\\!\\!\\int\\!\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\subset\\!\\supset \\mathbf D\\cdot\\mathrm{d}\\mathbf A\" src=\"1990fe2f58972e93f7d23b3902ca925b.png\" \/>"
],
[
"\\int\\!\\!\\!\\!\\!\\int\\!\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc\\,\\,\\mathbf D\\;\\cdot\\mathrm{d}\\mathbf A",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\int\\!\\!\\!\\!\\!\\int\\!\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc\\,\\,\\mathbf D\\;\\cdot\\mathrm{d}\\mathbf A\" src=\"dc59fde59ad9a9ab03d6e0eafdb6e65a.png\" \/>"
],
[
"{\\scriptstyle S}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"{\\scriptstyle S}\" src=\"7ff140fff7dde71951767d28cb5304ac.png\" \/>"
],
[
"( \\nabla \\times \\bold{F} ) \\cdot {\\rm d}\\bold{S} = \\oint_{\\partial S} \\bold{F} \\cdot {\\rm d}\\boldsymbol{\\ell} ",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"( \\nabla \\times \\bold{F} ) \\cdot {\\rm d}\\bold{S} = \\oint_{\\partial S} \\bold{F} \\cdot {\\rm d}\\boldsymbol{\\ell} \" src=\"f6d35e69f3593017cdd38fbf8e798a9f.png\" \/>"
],
[
"{\\scriptstyle S}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"{\\scriptstyle S}\" src=\"7ff140fff7dde71951767d28cb5304ac.png\" \/>"
],
[
"( \\nabla \\times \\bold{F} ) \\cdot {\\rm d}\\bold{S} = \\oint_{\\partial S} \\bold{F} \\cdot {\\rm d}\\boldsymbol{\\ell} ",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"( \\nabla \\times \\bold{F} ) \\cdot {\\rm d}\\bold{S} = \\oint_{\\partial S} \\bold{F} \\cdot {\\rm d}\\boldsymbol{\\ell} \" src=\"f6d35e69f3593017cdd38fbf8e798a9f.png\" \/>"
],
[
"\\oint_C \\bold{B} \\cdot {\\rm d} \\boldsymbol{\\ell} = \\mu_0 ",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\oint_C \\bold{B} \\cdot {\\rm d} \\boldsymbol{\\ell} = \\mu_0 \" src=\"0f3f1a7580395190da1d7e7bba5a72e6.png\" \/>"
],
[
"{\\scriptstyle S}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"{\\scriptstyle S}\" src=\"7ff140fff7dde71951767d28cb5304ac.png\" \/>"
],
[
"\\left ( \\bold{J} + \\epsilon_0\\frac{\\partial \\bold{E}}{\\partial t} \\right ) \\cdot {\\rm d}\\bold{S}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\left ( \\bold{J} + \\epsilon_0\\frac{\\partial \\bold{E}}{\\partial t} \\right ) \\cdot {\\rm d}\\bold{S}\" src=\"39a571d0f6a01877c10d8790a5943eab.png\" \/>"
],
[
"\\oint_{\\partial S} \\bold{B} \\cdot {\\rm d} \\boldsymbol{\\ell} = \\mu_0 ",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\oint_{\\partial S} \\bold{B} \\cdot {\\rm d} \\boldsymbol{\\ell} = \\mu_0 \" src=\"229ef1d17720ecf0b771d0783ce81c24.png\" \/>"
],
[
"{\\scriptstyle S}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"{\\scriptstyle S}\" src=\"7ff140fff7dde71951767d28cb5304ac.png\" \/>"
],
[
"\\left ( \\bold{J} + \\epsilon_0\\frac{\\partial \\bold{E}}{\\partial t} \\right ) \\cdot {\\rm d}\\bold{S}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\left ( \\bold{J} + \\epsilon_0\\frac{\\partial \\bold{E}}{\\partial t} \\right ) \\cdot {\\rm d}\\bold{S}\" src=\"39a571d0f6a01877c10d8790a5943eab.png\" \/>"
],
[
"\\bold{P} = ",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\bold{P} = \" src=\"5b2cfaf066bee44f213c6c2882e172c7.png\" \/>"
],
[
"{\\scriptstyle \\partial \\Omega}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"{\\scriptstyle \\partial \\Omega}\" src=\"30c24016df2b868da4e3a8ec58e45ce7.png\" \/>"
],
[
"\\bold{T} \\cdot {\\rm d}^3\\boldsymbol{\\Sigma} = 0",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\bold{T} \\cdot {\\rm d}^3\\boldsymbol{\\Sigma} = 0\" src=\"7357641bffa0e625f2d806b7357b7ee5.png\" \/>"
],
[
"\\bold{P} = ",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\bold{P} = \" src=\"5b2cfaf066bee44f213c6c2882e172c7.png\" \/>"
],
[
"{\\scriptstyle \\partial \\Omega}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"{\\scriptstyle \\partial \\Omega}\" src=\"30c24016df2b868da4e3a8ec58e45ce7.png\" \/>"
],
[
"\\bold{T} \\cdot {\\rm d}^3\\boldsymbol{\\Sigma} = 0",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\bold{T} \\cdot {\\rm d}^3\\boldsymbol{\\Sigma} = 0\" src=\"7357641bffa0e625f2d806b7357b7ee5.png\" \/>"
],
[
"\\overset{\\frown}{AB}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\overset{\\frown}{AB}\" src=\"8748475980cbfc9c9028b4b298d2f438.png\" \/>"
],
[
"ax^2 + bx + c = 0",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"ax^2 + bx + c = 0\" src=\"0c4913db725b72609d4825124dda12aa.png\" \/>"
],
[
"ax^2 + bx + c = 0",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"ax^2 + bx + c = 0\" src=\"0c4913db725b72609d4825124dda12aa.png\" \/>"
],
[
"x={-b\\pm\\sqrt{b^2-4ac} \\over 2a}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"x={-b\\pm\\sqrt{b^2-4ac} \\over 2a}\" src=\"a1f76f347b763aa6fc880cbc641fc29f.png\" \/>"
],
[
"x={-b\\pm\\sqrt{b^2-4ac} \\over 2a}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"x={-b\\pm\\sqrt{b^2-4ac} \\over 2a}\" src=\"a1f76f347b763aa6fc880cbc641fc29f.png\" \/>"
],
[
"2 = \\left( \\frac{\\left(3-x\\right) \\times 2}{3-x} \\right)",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"2 = \\left( \\frac{\\left(3-x\\right) \\times 2}{3-x} \\right)\" src=\"894f312e78ebc09a4e78c11b79cf4a8c.png\" \/>"
],
[
"2 = \\left(\n\\frac{\\left(3-x\\right) \\times 2}{3-x}\n\\right)",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"2 = \\left(&#10;\\frac{\\left(3-x\\right) \\times 2}{3-x}&#10;\\right)\" src=\"894f312e78ebc09a4e78c11b79cf4a8c.png\" \/>"
],
[
"S_{\\text{new}} = S_{\\text{old}} - \\frac{ \\left( 5-T \\right) ^2} {2}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"S_{\\text{new}} = S_{\\text{old}} - \\frac{ \\left( 5-T \\right) ^2} {2}\" src=\"aa0dc58e7114c5b91f6113130dcbc1d5.png\" \/>"
],
[
"S_{\\text{new}} = S_{\\text{old}} - \\frac{ \\left( 5-T \\right) ^2} {2}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"S_{\\text{new}} = S_{\\text{old}} - \\frac{ \\left( 5-T \\right) ^2} {2}\" src=\"aa0dc58e7114c5b91f6113130dcbc1d5.png\" \/>"
],
[
"\\int_a^x \\!\\!\\!\\int_a^s f(y)\\,dy\\,ds = \\int_a^x f(y)(x-y)\\,dy",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\int_a^x \\!\\!\\!\\int_a^s f(y)\\,dy\\,ds = \\int_a^x f(y)(x-y)\\,dy\" src=\"4465ba032469b775777205effe6cdc0f.png\" \/>"
],
[
"\\int_a^x \\!\\!\\!\\int_a^s f(y)\\,dy\\,ds\n= \\int_a^x f(y)(x-y)\\,dy",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\int_a^x \\!\\!\\!\\int_a^s f(y)\\,dy\\,ds&#10;= \\int_a^x f(y)(x-y)\\,dy\" src=\"4465ba032469b775777205effe6cdc0f.png\" \/>"
],
[
"\\det(\\mathsf{A}-\\lambda\\mathsf{I}) = 0",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\det(\\mathsf{A}-\\lambda\\mathsf{I}) = 0\" src=\"691187249f1e86a2e459362d66b5a743.png\" \/>"
],
[
"\\det(\\mathsf{A}-\\lambda\\mathsf{I}) = 0",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\det(\\mathsf{A}-\\lambda\\mathsf{I}) = 0\" src=\"691187249f1e86a2e459362d66b5a743.png\" \/>"
],
[
"\\sum_{i=0}^{n-1} i",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sum_{i=0}^{n-1} i\" src=\"9c3090bae1d9eccd9e1747ecc51eaece.png\" \/>"
],
[
"\\sum_{i=0}^{n-1} i",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sum_{i=0}^{n-1} i\" src=\"9c3090bae1d9eccd9e1747ecc51eaece.png\" \/>"
],
[
"\\sum_{m=1}^\\infty\\sum_{n=1}^\\infty\\frac{m^2\\,n}{3^m\\left(m\\,3^n+n\\,3^m\\right)}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sum_{m=1}^\\infty\\sum_{n=1}^\\infty\\frac{m^2\\,n}{3^m\\left(m\\,3^n+n\\,3^m\\right)}\" src=\"5cd6041b50d619f041f121baea301898.png\" \/>"
],
[
"\\sum_{m=1}^\\infty\\sum_{n=1}^\\infty\\frac{m^2\\,n}\n{3^m\\left(m\\,3^n+n\\,3^m\\right)}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sum_{m=1}^\\infty\\sum_{n=1}^\\infty\\frac{m^2\\,n}&#10;{3^m\\left(m\\,3^n+n\\,3^m\\right)}\" src=\"5cd6041b50d619f041f121baea301898.png\" \/>"
],
[
"u'' + p(x)u' + q(x)u=f(x),\\quad x>a",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"u&#039;&#039; + p(x)u&#039; + q(x)u=f(x),\\quad x&gt;a\" src=\"d7b3799aedae667fcc79b43ba678b94a.png\" \/>"
],
[
"u'' + p(x)u' + q(x)u=f(x),\\quad x>a",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"u&#039;&#039; + p(x)u&#039; + q(x)u=f(x),\\quad x&gt;a\" src=\"d7b3799aedae667fcc79b43ba678b94a.png\" \/>"
],
[
"|\\bar{z}| = |z|, |(\\bar{z})^n| = |z|^n, \\arg(z^n) = n \\arg(z)",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"|\\bar{z}| = |z|, |(\\bar{z})^n| = |z|^n, \\arg(z^n) = n \\arg(z)\" src=\"2eac34dbc8ebbccb22ce8dfe9d5c1a86.png\" \/>"
],
[
"|\\bar{z}| = |z|,\n|(\\bar{z})^n| = |z|^n,\n\\arg(z^n) = n \\arg(z)",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"|\\bar{z}| = |z|,&#10;|(\\bar{z})^n| = |z|^n,&#10;\\arg(z^n) = n \\arg(z)\" src=\"2eac34dbc8ebbccb22ce8dfe9d5c1a86.png\" \/>"
],
[
"\\lim_{z\\rightarrow z_0} f(z)=f(z_0)",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\lim_{z\\rightarrow z_0} f(z)=f(z_0)\" src=\"02122c7e5ff915c4616fb457747c8bf4.png\" \/>"
],
[
"\\lim_{z\\rightarrow z_0} f(z)=f(z_0)",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\lim_{z\\rightarrow z_0} f(z)=f(z_0)\" src=\"02122c7e5ff915c4616fb457747c8bf4.png\" \/>"
],
[
"\\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",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\phi_n(\\kappa)&#10;= \\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\" src=\"7fb11db1e8b5890998b2f0f59f0e3d60.png\" \/>"
],
[
"\\phi_n(\\kappa) =\n\\frac{1}{4\\pi^2\\kappa^2} \\int_0^\\infty\n\\frac{\\sin(\\kappa R)}{\\kappa R}\n\\frac{\\partial}{\\partial R}\n\\left[R^2\\frac{\\partial D_n(R)}{\\partial R}\\right]\\,dR",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\phi_n(\\kappa) =&#10;\\frac{1}{4\\pi^2\\kappa^2} \\int_0^\\infty&#10;\\frac{\\sin(\\kappa R)}{\\kappa R}&#10;\\frac{\\partial}{\\partial R}&#10;\\left[R^2\\frac{\\partial D_n(R)}{\\partial R}\\right]\\,dR\" src=\"7fb11db1e8b5890998b2f0f59f0e3d60.png\" \/>"
],
[
"\\phi_n(\\kappa) = 0.033C_n^2\\kappa^{-11\/3},\\quad \\frac{1}{L_0}\\ll\\kappa\\ll\\frac{1}{l_0}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\phi_n(\\kappa) = 0.033C_n^2\\kappa^{-11\/3},\\quad \\frac{1}{L_0}\\ll\\kappa\\ll\\frac{1}{l_0}\" src=\"8f72d606f5f91bd51583a0a08b36eed9.png\" \/>"
],
[
"\\phi_n(\\kappa) =\n0.033C_n^2\\kappa^{-11\/3},\\quad\n\\frac{1}{L_0}\\ll\\kappa\\ll\\frac{1}{l_0}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\phi_n(\\kappa) =&#10;0.033C_n^2\\kappa^{-11\/3},\\quad&#10;\\frac{1}{L_0}\\ll\\kappa\\ll\\frac{1}{l_0}\" src=\"8f72d606f5f91bd51583a0a08b36eed9.png\" \/>"
],
[
"f(x) = \\begin{cases}1 & -1 \\le x < 0 \\\\\n\\frac{1}{2} & x = 0 \\\\ 1 - x^2 & \\text{otherwise}\\end{cases}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"f(x) = \\begin{cases}1 &amp; -1 \\le x &lt; 0 \\\\&#10;\\frac{1}{2} &amp; x = 0 \\\\ 1 - x^2 &amp; \\text{otherwise}\\end{cases}\" src=\"3e3579f4c1c6a95f181f227fd3ede7de.png\" \/>"
],
[
"\nf(x) =\n\\begin{cases}\n1 & -1 \\le x < 0 \\\\\n\\frac{1}{2} & x = 0 \\\\\n1 - x^2 & \\text{otherwise}\n\\end{cases}\n",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"&#10;f(x) =&#10;\\begin{cases}&#10;1 &amp; -1 \\le x &lt; 0 \\\\&#10;\\frac{1}{2} &amp; x = 0 \\\\&#10;1 - x^2 &amp; \\text{otherwise}&#10;\\end{cases}&#10;\" src=\"3e3579f4c1c6a95f181f227fd3ede7de.png\" \/>"
],
[
"{}_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!}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"{}_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!}\" src=\"c02cbc6ec9c57aca74ebc3a0314dea79.png\" \/>"
],
[
"{}_pF_q(a_1,\\dots,a_p;c_1,\\dots,c_q;z)\n= \\sum_{n=0}^\\infty\n\\frac{(a_1)_n\\cdots(a_p)_n}{(c_1)_n\\cdots(c_q)_n}\n\\frac{z^n}{n!}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"{}_pF_q(a_1,\\dots,a_p;c_1,\\dots,c_q;z)&#10;= \\sum_{n=0}^\\infty&#10;\\frac{(a_1)_n\\cdots(a_p)_n}{(c_1)_n\\cdots(c_q)_n}&#10;\\frac{z^n}{n!}\" src=\"c02cbc6ec9c57aca74ebc3a0314dea79.png\" \/>"
],
[
"\\frac{a}{b}\\ \\tfrac{a}{b}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\frac{a}{b}\\ \\tfrac{a}{b}\" src=\"54e172be623599fef29e40733c94895e.png\" \/>"
],
[
"\\frac{a}{b}\\ \\tfrac{a}{b}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\frac{a}{b}\\ \\tfrac{a}{b}\" src=\"54e172be623599fef29e40733c94895e.png\" \/>"
],
[
"S=dD\\,\\sin\\alpha\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"S=dD\\,\\sin\\alpha\\!\" src=\"385776efb87d3eb7fe18587efd484ef5.png\" \/>"
],
[
"S=dD\\,\\sin\\alpha\\!",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"S=dD\\,\\sin\\alpha\\!\" src=\"385776efb87d3eb7fe18587efd484ef5.png\" \/>"
],
[
"V=\\frac16\\pi h\\left[3\\left(r_1^2+r_2^2\\right)+h^2\\right]",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"V=\\frac16\\pi h\\left[3\\left(r_1^2+r_2^2\\right)+h^2\\right]\" src=\"624bfa733e479dff276edfdc7b1b8f6a.png\" \/>"
],
[
"V=\\frac16\\pi h\\left[3\\left(r_1^2+r_2^2\\right)+h^2\\right]",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"V=\\frac16\\pi h\\left[3\\left(r_1^2+r_2^2\\right)+h^2\\right]\" src=\"624bfa733e479dff276edfdc7b1b8f6a.png\" \/>"
],
[
"\\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}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\begin{align}&#10;u &amp; = \\tfrac{1}{\\sqrt{2}}(x+y) \\qquad &amp; x &amp;= \\tfrac{1}{\\sqrt{2}}(u+v)\\\\&#10;v &amp; = \\tfrac{1}{\\sqrt{2}}(x-y) \\qquad &amp; y &amp;= \\tfrac{1}{\\sqrt{2}}(u-v)&#10;\\end{align}\" src=\"787eb92e00313cb866a89579fde92108.png\" \/>"
],
[
"\\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}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\begin{align}&#10;u &amp; = \\tfrac{1}{\\sqrt{2}}(x+y) \\qquad &amp; x &amp;= \\tfrac{1}{\\sqrt{2}}(u+v) \\\\&#10;v &amp; = \\tfrac{1}{\\sqrt{2}}(x-y) \\qquad &amp; y &amp;= \\tfrac{1}{\\sqrt{2}}(u-v)&#10;\\end{align}\" src=\"787eb92e00313cb866a89579fde92108.png\" \/>"
],
[
" with a thumbnail- we don't render math in the parsertests by default, so math is not stripped and turns up as escaped &lt;math&gt; tags. [[Image:foobar.jpg|thumb|<math>2+2",
"<strong class='error texerror'>Failed to parse (syntax error): with a thumbnail- we don't render math in the parsertests by default, so math is not stripped and turns up as escaped &amp;lt;math&amp;gt; tags. [[Image:foobar.jpg|thumb|&lt;math&gt;2+2<\/strong>\n"
],
[
" with a thumbnail- math enabled [[Image:foobar.jpg|thumb|<math>2+2",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\" with a thumbnail- math enabled [[Image:foobar.jpg|thumb|&lt;math&gt;2+2\" src=\"4b1d6eacd0bcc60a0aadf0d34626ee74.png\" \/>"
],
[
"<script>alert(document.cookies);<\/script>",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"&lt;script&gt;alert(document.cookies);&lt;\/script&gt;\" src=\"59f1117d63b4ce95a694d44b588f0840.png\" \/>"
],
[
"\\widehat{x}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\widehat{x}\" src=\"260a7a181658b82549b23574d4bf476b.png\" \/>"
],
[
"\\widetilde{x}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\widetilde{x}\" src=\"4848f7a70999ab4e0ca9d205efa3cd04.png\" \/>"
],
[
"\\euro 200",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\euro 200\" src=\"18867d4c568a19ae7b2388346e504ec3.png\" \/>"
],
[
"\\geneuro",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\geneuro\" src=\"98b63c235ee187a38267e0e170b10e9d.png\" \/>"
],
[
"\\geneuronarrow",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\geneuronarrow\" src=\"aa4a1ed370f4ee705c6930384bf89502.png\" \/>"
],
[
"\\geneurowide",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\geneurowide\" src=\"4404468e6187fb04e4f7e1f15e550825.png\" \/>"
],
[
"\\officialeuro",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\officialeuro\" src=\"d708de0eed23dbd6f02b99ea9073547b.png\" \/>"
],
[
"\\digamma",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\digamma\" src=\"2f057b6e514c8ca2d9cf9a3e549f8865.png\" \/>"
],
[
"\\Coppa\\coppa\\varcoppa",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Coppa\\coppa\\varcoppa\" src=\"8308ee5003aa36112414cad8ef874f85.png\" \/>"
],
[
"\\Digamma",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Digamma\" src=\"5cfd6e5df6c87798542dca2e22c1e7cb.png\" \/>"
],
[
"\\Koppa\\koppa",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Koppa\\koppa\" src=\"52593a0cdac178d165985ac014788b97.png\" \/>"
],
[
"\\Sampi\\sampi",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Sampi\\sampi\" src=\"e9dabb19e4c27bf23d3c2a3629474562.png\" \/>"
],
[
"\\Stigma\\stigma\\varstigma",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\Stigma\\stigma\\varstigma\" src=\"7b9233276816994a33a5e968202cef6e.png\" \/>"
],
[
"\\text{next years}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\text{next years}\" src=\"6691dbc0b36631a68b78dd5ace256d80.png\" \/>"
],
[
"\\text{next year's}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\text{next year&#039;s}\" src=\"236fd262b1976d04bc0e7a969d61aede.png\" \/>"
],
[
"\\text{`next' year}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\text{`next&#039; year}\" src=\"05854b483a833f067cb6ae72319b44bc.png\" \/>"
],
[
"\\sin x",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sin x\" src=\"cdba58911c590ced3e2435dfa39f6873.png\" \/>"
],
[
"\\sin(x)",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sin(x)\" src=\"3e21673ce6c9b09f9ec50b7237248576.png\" \/>"
],
[
"\\sin{x}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sin{x}\" src=\"fb5551723991d4dcb974a23c162ae813.png\" \/>"
],
[
"\\sin x \\,",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sin x \\,\" src=\"76a8e1a01bd233c1e4e16d63b2bbf939.png\" \/>"
],
[
"\\sin(x) \\,",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sin(x) \\,\" src=\"16c69b0a3658d3b398f72c518d869a03.png\" \/>"
],
[
"\\sin{x} \\,",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sin{x} \\,\" src=\"839639707da39f691e702c2399cbf943.png\" \/>"
],
[
"\\sen x",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sen x\" src=\"fb82a78d580396c62cecb4cf018f3769.png\" \/>"
],
[
"\\sen(x)",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sen(x)\" src=\"83a10e6756c8e59055178dc1f593130a.png\" \/>"
],
[
"\\sen{x}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sen{x}\" src=\"04fde4f7a7e478015066f378050b1979.png\" \/>"
],
[
"\\sen x \\,",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sen x \\,\" src=\"0ac592b8f31b4698766c50c532f446a7.png\" \/>"
],
[
"\\sen(x) \\,",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sen(x) \\,\" src=\"bb5469d24fcdd52aa60cb9ee90ba697d.png\" \/>"
],
[
"\\sen{x} \\,",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\sen{x} \\,\" src=\"d4882a4bcf5db1da3e30d905da8b394e.png\" \/>"
],
[
"\\operatorname{sen}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\operatorname{sen}\" src=\"fa9660c7eb053ca8d3c9a87fa86635d9.png\" \/>"
],
[
"\\dot \\vec B",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\dot \\vec B\" src=\"e64939568ecb506a86a392373cec0458.png\" \/>"
],
[
"\\tilde \\mathcal{M}",
"<img class=\"mwe-math-fallback-image-inline tex\" alt=\"\\tilde \\mathcal{M}\" src=\"55072ce6ef8c840c4b7687bd8a028bde.png\" \/>"
],
[
"",
"<strong class='error texerror'>Failed to parse (PNG conversion failed; check for correct installation of latex and dvipng (or dvips + gs + convert)): <\/strong>\n"
],
[
" ",
"<strong class='error texerror'>Failed to parse (PNG conversion failed; check for correct installation of latex and dvipng (or dvips + gs + convert)): <\/strong>\n"
]
]