[ { "name": "decimal comma", "mathML": "<math display='block'>\n <mn>1,234</mn>\r\n <mo>+</mo>\r\n <mn>1,234</mn>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mn>1,234</mn>\r\n <mo>+</mo>\r\n <mn>1,234</mn>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mn intent='1.234:decimal-comma'>1,234</mn>\r\n <mo>+</mo>\r\n <mn intent='1.234:decimal-comma'>1,234</mn>\r\n</math>", "latex": "1,234+1{,}234", "id": "017edc9e4583c9b0fd2ee3169c126446" }, { "name": "grouping comma", "mathML": "<math display='block'>\r\n <mn>1,234</mn>\r\n <mo>;</mo>\r\n <mn>1,234</mn>\r\n <mo>;</mo>\r\n <mn>1,234,000</mn>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mn>1,234</mn>\r\n <mo>;</mo>\r\n <mn>1,234</mn>\r\n <mo>;</mo>\r\n <mn>1,234,000</mn>\r\n</math>", "mathML_explicit": "<math display='block' mathbackground='yellow'>\r\n <mn intent='1234:thousands-comma'>1,234</mn>\r\n <mo>;</mo>\r\n <mn intent='1234:thousands-comma'>1,234</mn>\r\n <mo>;</mo>\r\n <mn intent='1234000:thousands-comma'>1,234,000</mn>\r\n</math>", "latex": "1,234; 1,234; 1,234,000", "id": "db40da704aa8d8c5c9b2a5d07c1e3b85" }, { "name": "mn -3", "mathML": "<math display='block'>\r\n <mn>−3</mn>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mn>−3</mn>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mn intent='-3'>−3</mn>\r\n</math>", "latex": "-3", "id": "683ba0a3b399a6196311c3ade0827964" }, { "name": "mrow mo -3", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>−</mo>\r\n <mn>3</mn>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>−</mo>\r\n <mn>3</mn>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='-3'>\r\n <mo>−</mo>\r\n <mn>3</mn>\r\n </mrow>\r\n</math>", "latex": "-3", "id": "602a20326c8bb860f1f368368ccaacab" }, { "name": "squared", "mathML": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mn>2</mn>\r\n </msup>\r\n </math>", "mathML_default": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mn>2</mn>\r\n </msup>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mn>2</mn>\r\n </msup>\r\n</math>", "latex": "x^2", "id": "2907599147d0a81ecd2e18411188ffda" }, { "name": "cubed", "mathML": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mn>3</mn>\r\n </msup>\r\n </math>", "mathML_default": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mn>3</mn>\r\n </msup>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mn>3</mn>\r\n </msup>\r\n</math>", "latex": "x^3", "id": "adfc266fea5eee8d882487a3c469d23d" }, { "name": "2nd Cohomology", "mathML": "<math display='block'>\r\n <msup>\r\n <mi mathvariant='normal'>H</mi>\r\n <mn>2</mn>\r\n </msup>\r\n </math>", "mathML_default": "<math display='block'>\r\n <msup>\r\n <mi mathvariant='normal'>H</mi>\r\n <mn>2</mn>\r\n </msup>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <msup intent='index($H,$n)'>\r\n <mi arg='H' mathvariant='normal'>H</mi>\r\n <mn arg='n'>2</mn>\r\n </msup>\r\n</math>", "latex": "\\mathrm{H}^2", "id": "e6ce43e9b0b6830ba38e7b9ccc26dd4b" }, { "name": "R 2", "mathML": "<math display='block'>\r\n <msup>\r\n <mi>ℝ</mi>\r\n <mn>2</mn>\r\n </msup>\r\n </math>", "mathML_default": "<math display='block'>\r\n <msup>\r\n <mi>ℝ</mi>\r\n <mn>2</mn>\r\n </msup>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <msup intent='vector-space-power($R,$n)'>\r\n <mi arg='R'>ℝ</mi>\r\n <mn arg='n'>2</mn>\r\n </msup>\r\n</math>", "latex": "\\mathbb{R}^2", "id": "1048532acb9cbb0f36557eeb3923da3b" }, { "name": "x to nth", "mathML": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mi>n</mi>\r\n </msup>\r\n </math>", "mathML_default": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mi>n</mi>\r\n </msup>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mi>n</mi>\r\n </msup>\r\n</math>", "latex": "x^n", "id": "9d0c7001d7d17c1787d876b94f0e0c5c" }, { "name": "dagger", "mathML": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mo>†</mo>\r\n </msup>\r\n </math>", "mathML_default": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mo>†<!-- U+2020--></mo>\r\n </msup>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <msup intent='x-dagger'>\r\n <mi>x</mi>\r\n <mo>†<!-- U+2020--></mo>\r\n </msup>\r\n</math>", "latex": "x^\\dagger", "id": "bf4860ed94f13787fe5a13567c9b924d" }, { "name": "x transpose", "mathML": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mi mathvariant='normal'>T</mi>\r\n </msup>\r\n </math>", "mathML_default": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mi mathvariant='normal'>T</mi>\r\n </msup>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <msup intent='$op($arg)'>\r\n <mi arg='arg'>x</mi>\r\n <mi arg='op'\r\n intent='transpose'\r\n mathvariant='normal'>T</mi>\r\n </msup>\r\n</math>", "latex": "x^{\\mathrm{T}}", "id": "f69c0d6dc093dc36c9269a6561038bb5" }, { "name": "x transpose pre-sup", "mathML": "<math display='block'>\r\n <mmultiscripts>\r\n <mi>x</mi>\r\n <mprescripts></mprescripts>\r\n <mrow></mrow>\r\n <mi mathvariant='normal'>T</mi>\r\n </mmultiscripts>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mmultiscripts>\r\n <mi>x</mi>\r\n <mprescripts/>\r\n <mrow/>\r\n <mi mathvariant='normal'>T</mi>\r\n </mmultiscripts>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mmultiscripts intent='$op($arg)'>\r\n <mi arg='arg'>x</mi>\r\n <mprescripts/>\r\n <mrow/>\r\n <mi arg='op'\r\n intent='transpose'\r\n mathvariant='normal'>T</mi>\r\n </mmultiscripts>\r\n</math>", "latex": "{}^{\\mathrm{T}}x", "id": "ede527b5e0f611c91277a93e11476a02" }, { "name": "x sub transpose", "mathML": "<math display='block'>\r\n <msubsup>\r\n <mi>x</mi>\r\n <mrow>\r\n <mi>i</mi>\r\n <mi>j</mi>\r\n </mrow>\r\n <mi mathvariant='normal'>T</mi>\r\n </msubsup>\r\n </math>", "mathML_default": "<math display='block'>\r\n <msubsup>\r\n <mi>x</mi>\r\n <mrow>\r\n <mi>i</mi>\r\n <mi>j</mi>\r\n </mrow>\r\n <mi mathvariant='normal'>T</mi>\r\n </msubsup>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <msubsup intent='transpose(index:silent($x,$sub))'>\r\n <mi arg='x'>x</mi>\r\n <mrow arg='sub' intent=':index'>\r\n <mi>i</mi>\r\n <mi>j</mi>\r\n </mrow>\r\n <mi mathvariant='normal'>T</mi>\r\n </msubsup>\r\n</math>", "latex": "x_{ij}^{\\mathrm{T}}", "id": "6f08481aad490542112793a2f05fc507" }, { "name": "ordinal 4th", "mathML": "<math display='block'>\r\n <msup>\r\n <mn>4</mn>\r\n <mi>th</mi>\r\n </msup>\r\n </math>", "mathML_default": "<math display='block'>\r\n <msup>\r\n <mn>4</mn>\r\n <mi>th</mi>\r\n </msup>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <msup>\r\n <mn>4</mn>\r\n <mi intent='ordinal-mark'>th</mi>\r\n </msup>\r\n</math>", "latex": "4{\\mathrm{th}", "id": "13e8ce1d50a50fb0cf729ecc396e462e" }, { "name": "formal power series", "mathML": "<math display='block'>\r\n <mrow>\r\n <mi>A</mi>\r\n <mo>=</mo>\r\n <munderover>\r\n <mo>∑</mo>\r\n <mrow>\r\n <mi>n</mi>\r\n <mo>=</mo>\r\n <mn>0</mn>\r\n </mrow>\r\n <mi>∞</mi>\r\n </munderover>\r\n <msub>\r\n <mi>a</mi>\r\n <mi>n</mi>\r\n </msub>\r\n <msup>\r\n <mi>X</mi>\r\n <mi>n</mi>\r\n </msup>\r\n <mo>∈</mo>\r\n <mrow>\r\n <mi>R</mi>\r\n <mo>⟦</mo>\r\n <mi>X</mi>\r\n <mo>⟧</mo>\r\n </mrow>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mi>A</mi>\r\n <mo>=</mo>\r\n <munderover>\r\n <mo>∑</mo>\r\n <mrow>\r\n <mi>n</mi>\r\n <mo>=</mo>\r\n <mn>0</mn>\r\n </mrow>\r\n <mi>∞</mi>\r\n </munderover>\r\n <msub>\r\n <mi>a</mi>\r\n <mi>n</mi>\r\n </msub>\r\n <msup>\r\n <mi>X</mi>\r\n <mi>n</mi>\r\n </msup>\r\n <mo>∈</mo>\r\n <mrow>\r\n <mi>R</mi>\r\n <mo>⟦</mo>\r\n <mi>X</mi>\r\n <mo>⟧</mo>\r\n </mrow>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow>\r\n <mi>A</mi>\r\n <mo>=</mo>\r\n <munderover>\r\n <mo>∑</mo>\r\n <mrow>\r\n <mi>n</mi>\r\n <mo>=</mo>\r\n <mn>0</mn>\r\n </mrow>\r\n <mi>∞</mi>\r\n </munderover>\r\n <msub>\r\n <mi>a</mi>\r\n <mi>n</mi>\r\n </msub>\r\n <msup>\r\n <mi>X</mi>\r\n <mi>n</mi>\r\n </msup>\r\n <mo>∈</mo>\r\n <mrow intent='power-series($r,$x)'>\r\n <mi arg='r'>R</mi>\r\n <mo>⟦</mo>\r\n <mi arg='x'>X</mi>\r\n <mo>⟧</mo>\r\n </mrow>\r\n </mrow>\r\n</math>", "latex": "A=\\sum_0^\\infty a_n X^n \\in R\\lBrack X \\rBrack", "id": "24d51362b56f6123ce1c1c5a8872ceba" }, { "name": "sin squared plus cos squared", "mathML": "<math display='block'>\r\n <mrow>\r\n <msup>\r\n <mi>sin</mi>\r\n <mn>2</mn>\r\n </msup>\r\n <mo>⁡</mo>\r\n <mi>𝜃</mi>\r\n </mrow>\r\n <mo>+</mo>\r\n <mrow>\r\n <msup>\r\n <mi>cos</mi>\r\n <mn>2</mn>\r\n </msup>\r\n <mo>⁡</mo>\r\n <mi>𝜃</mi>\r\n </mrow>\r\n <mo>=</mo>\r\n <mn>1</mn>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <msup>\r\n <mi>sin</mi>\r\n <mn>2</mn>\r\n </msup>\r\n <mo>⁡</mo>\r\n <mi>𝜃</mi>\r\n </mrow>\r\n <mo>+</mo>\r\n <mrow>\r\n <msup>\r\n <mi>cos</mi>\r\n <mn>2</mn>\r\n </msup>\r\n <mo>⁡</mo>\r\n <mi>𝜃</mi>\r\n </mrow>\r\n <mo>=</mo>\r\n <mn>1</mn>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow>\r\n <msup>\r\n <mi>sin</mi>\r\n <mn>2</mn>\r\n </msup>\r\n <mo intent='apply:silent'>⁡</mo>\r\n <mi intent='theta'>𝜃</mi>\r\n </mrow>\r\n <mo>+</mo>\r\n <mrow>\r\n <msup>\r\n <mi>cos</mi>\r\n <mn>2</mn>\r\n </msup>\r\n <mo intent='apply:silent'>⁡</mo>\r\n <mi intent='theta'>𝜃</mi>\r\n </mrow>\r\n <mo>=</mo>\r\n <mn>1</mn>\r\n</math>", "latex": "\\sin^2\\theta + \\cos^2\\theta=1", "id": "152f0c6492f7e179a08bcebe6c63ddca" }, { "name": "binom n k", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>(</mo>\r\n <mfrac linethickness='0pt'>\r\n <mi>n</mi>\r\n <mi>k</mi>\r\n </mfrac>\r\n <mo>)</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>(</mo>\r\n <mfrac linethickness='0pt'>\r\n <mi>n</mi>\r\n <mi>k</mi>\r\n </mfrac>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='binomial($n,$k)'>\r\n <mo>(</mo>\r\n <mfrac linethickness='0pt'>\r\n <mi arg='n'>n</mi>\r\n <mi arg='k'>k</mi>\r\n </mfrac>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "latex": "\\binom{n}{k}", "id": "e527352e28a43e6583fbbaa4418e50d1" }, { "name": " binom sup n C sub k", "mathML": "<math display='block'>\r\n <mmultiscripts>\r\n <mi>C</mi>\r\n <mi>k</mi>\r\n <mrow></mrow>\r\n <mprescripts></mprescripts>\r\n <mrow></mrow>\r\n <mi>n</mi>\r\n </mmultiscripts>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mmultiscripts>\r\n <mi>C</mi>\r\n <mi>k</mi>\r\n <mrow/>\r\n <mprescripts/>\r\n <mrow/>\r\n <mi>n</mi>\r\n </mmultiscripts>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mmultiscripts intent='binomial($n,$k)'>\r\n <mi>C</mi>\r\n <mi arg='k'>k</mi>\r\n <mrow/>\r\n <mprescripts/>\r\n <mrow/>\r\n <mi arg='n'>n</mi>\r\n </mmultiscripts>\r\n</math>", "latex": "{}^n C_k", "id": "66ed419d09924ec6e86b6fa6192a5ac5" }, { "name": " binom C sup n sub k", "mathML": "<math display='block'>\r\n <msubsup>\r\n <mi>C</mi>\r\n <mi>k</mi>\r\n <mi>n</mi>\r\n </msubsup>\r\n </math>", "mathML_default": "<math display='block'>\r\n <msubsup>\r\n <mi>C</mi>\r\n <mi>k</mi>\r\n <mi>n</mi>\r\n </msubsup>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <msubsup intent='binomial($n,$k)'>\r\n <mi>C</mi>\r\n <mi arg='k'>k</mi>\r\n <mi arg='n'>n</mi>\r\n </msubsup>\r\n</math>", "latex": "C^n_k", "id": "89001a40638a748b95e5885b771d9a57" }, { "name": " binom C n k", "mathML": "<math display='block'>\r\n <mrow>\r\n <mi>C</mi>\r\n <mo>(</mo>\r\n <mi>n</mi>\r\n <mo>,</mo>\r\n <mi>k</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mi>C</mi>\r\n <mo>(</mo>\r\n <mi>n</mi>\r\n <mo>,</mo>\r\n <mi>k</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='binomial($n,$k)'>\r\n <mi>C</mi>\r\n <mo>(</mo>\r\n <mi arg='n'>n</mi>\r\n <mo>,</mo>\r\n <mi arg='k'>k</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "latex": "C(n,k)", "id": "64545c92aa1c6e86dd7e9d8781d51443" }, { "name": " permutations sup n P sub k", "mathML": "<math display='block'>\r\n <mmultiscripts>\r\n <mi>P</mi>\r\n <mi>k</mi>\r\n <mrow></mrow>\r\n <mprescripts></mprescripts>\r\n <mrow></mrow>\r\n <mi>n</mi>\r\n </mmultiscripts>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mmultiscripts>\r\n <mi>P</mi>\r\n <mi>k</mi>\r\n <mrow/>\r\n <mprescripts/>\r\n <mrow/>\r\n <mi>n</mi>\r\n </mmultiscripts>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mmultiscripts\r\n intent='permutation($n,$k)'>\r\n <mi>P</mi>\r\n <mi arg='k'>k</mi>\r\n <mrow/>\r\n <mprescripts/>\r\n <mrow/>\r\n <mi arg='n'>n</mi>\r\n </mmultiscripts>\r\n</math>", "latex": "{}^n P_k", "id": "479195ddf56ff4c6f095b8999439eae0" }, { "name": " permutations P sup n sub k", "mathML": "<math display='block'>\r\n <msubsup>\r\n <mi>P</mi>\r\n <mi>k</mi>\r\n <mi>n</mi>\r\n </msubsup>\r\n </math>", "mathML_default": "<math display='block'>\r\n <msubsup>\r\n <mi>P</mi>\r\n <mi>k</mi>\r\n <mi>n</mi>\r\n </msubsup>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <msubsup\r\n intent='P($n,$k)'>\r\n <mi>P</mi>\r\n <mi arg='k'>k</mi>\r\n <mi arg='n'>n</mi>\r\n </msubsup>\r\n</math>", "latex": "P^n_k", "id": "700e9e1c59044c764b0d3b6fcaff446d" }, { "name": " permutations P n k", "mathML": "<math display='block'>\r\n <mrow>\r\n <mi>P</mi>\r\n <mo>(</mo>\r\n <mi>n</mi>\r\n <mo>,</mo>\r\n <mi>k</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mi>P</mi>\r\n <mo>(</mo>\r\n <mi>n</mi>\r\n <mo>,</mo>\r\n <mi>k</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow\r\n intent='permutation-symbol($n,$k)'>\r\n <mi>P</mi>\r\n <mo>(</mo>\r\n <mi arg='n'>n</mi>\r\n <mo>,</mo>\r\n <mi arg='k'>k</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "latex": "P(n,k)", "id": "293789944389185c3b756bef34978108" }, { "name": "subset", "mathML": "<math display='block'>\r\n <mrow>\r\n <mi>x</mi>\r\n <mo>⊂</mo>\r\n <mi>y</mi>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mi>x</mi>\r\n <mo>⊂</mo>\r\n <mi>y</mi>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow>\r\n <mi>x</mi>\r\n <mo intent='subset'>⊂</mo>\r\n <mi>y</mi>\r\n </mrow>\r\n</math>", "latex": "x \\subset y", "id": "a3c7ec1076255080060573e304ad19fa" }, { "name": " parallel ", "mathML": "<math display='block'>\r\n <mrow>\r\n <mi>x</mi>\r\n <mo intent='parallel'>‖</mo>\r\n <mi>y</mi>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mi>x</mi>\r\n <mo intent='parallel'>‖</mo>\r\n <mi>y</mi>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow>\r\n <mi>x</mi>\r\n <mo intent='parallel'>‖</mo>\r\n <mi>y</mi>\r\n </mrow>\r\n</math>", "latex": "x \\parallel y", "id": "28cc9ebf3685b177e68ed192a529baad" }, { "name": "Ackerman or A", "mathML": "<math display='block'>\r\n <mrow>\r\n <mi>A</mi>\r\n <mo>⁡</mo>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>n</mi>\r\n <mo>,</mo>\r\n <mi>m</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mi>A</mi>\r\n <mo>⁡</mo>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>n</mi>\r\n <mo>,</mo>\r\n <mi>m</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='$A($n,$m)'>\r\n <mi arg='A' intent='Ackerman'>A</mi>\r\n <mo>⁡</mo>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi arg='n'>n</mi>\r\n <mo>,</mo>\r\n <mi arg='m'>m</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </mrow>\r\n</math>", "latex": "A(m,n)", "id": "e1c0d92825fe91e6496ba18632787fc7" }, { "name": "low (g∘h)′(x)", "mathML": "<math display='block'>\r\n <mrow>\r\n <msup>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>g</mi>\r\n <mo>∘</mo>\r\n <mi>h</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n <mo>′</mo>\r\n </msup>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <msup>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>g</mi>\r\n <mo>∘</mo>\r\n <mi>h</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n <mo>′</mo>\r\n </msup>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='$op3($x)'>\r\n <msup arg='op3' intent='$op2($composed)'>\r\n <mrow arg='composed' intent='$op1:infix($g,$h)'>\r\n <mo>(</mo>\r\n <mi arg='g'>g</mi>\r\n <mo arg='op1' intent='function-composition'>∘</mo>\r\n <mi arg='h'>h</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n <mo arg='op2' intent='first-derivative'>′</mo>\r\n </msup>\r\n <mo>(</mo>\r\n <mi arg='x'>x</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "latex": "(g∘h)′(x)", "id": "fb69a6813c7d5db626fe030aa4a285d0" }, { "name": "high (g∘h)′(x)", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>g</mi>\r\n <mo>∘</mo>\r\n <mi>h</mi>\r\n <mo>)</mo>\r\n <mo>′</mo>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>g</mi>\r\n <mo>∘</mo>\r\n <mi>h</mi>\r\n <mo>)</mo>\r\n <mo>′</mo>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='first-derivative(function-composition:infix(g,h))(x)'>\r\n <mo>(</mo>\r\n <mi>g</mi>\r\n <mo>∘</mo>\r\n <mi>h</mi>\r\n <mo>)</mo>\r\n <mo>′</mo>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "latex": "(g∘h)′(x)", "id": "dcfe1db97432ea0244c32bf4052e12f7" }, { "name": "apply (g∘h)′(x)", "mathML": "<math display='block'>\r\n <mrow>\r\n <msup>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>g</mi>\r\n <mo>∘</mo>\r\n <mi>h</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n <mo>′</mo>\r\n </msup>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <msup>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>g</mi>\r\n <mo>∘</mo>\r\n <mi>h</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n <mo>′</mo>\r\n </msup>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='apply($op3,$x)'>\r\n <msup arg='op3' intent='apply($op2,$composed)'>\r\n <mrow arg='composed' intent='apply:infix($op1,$g,$h)'><!-- ?-->\r\n <mo>(</mo>\r\n <mi arg='g'>g</mi>\r\n <mo arg='op1' intent='function-composition'>∘</mo>\r\n <mi arg='h'>h</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n <mo arg='op2' intent='first-derivative'>′</mo>\r\n </msup>\r\n <mo>(</mo>\r\n <mi arg='x'>x</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "latex": "(g∘h)′(x)", "id": "99c071dbf49e1ca438434dc4b82aac35" }, { "name": "leaf (g∘h)′(x)", "mathML": "<math display='block'>\r\n <mrow>\r\n <msup>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>g</mi>\r\n <mo>∘</mo>\r\n <mi>h</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n <mo>′</mo>\r\n </msup>\r\n <mo>⁡</mo>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <msup>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>g</mi>\r\n <mo>∘</mo>\r\n <mi>h</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n <mo>′</mo>\r\n </msup>\r\n <mo>⁡</mo>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow>\r\n <msup intent='first-derivative($composed)'>\r\n <mrow arg='composed'>\r\n <mo>(</mo>\r\n <mi>g</mi>\r\n <mo intent='composed-with'>∘</mo>\r\n <mi>h</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n <mo>′</mo>\r\n </msup>\r\n <mo>⁡</mo> <!-- apply function -->\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "latex": "(g∘h)′(x)", "id": "c3e77c30ccf21d4eaec512ba6db42579" }, { "name": "hof convex conjugate", "mathML": "<math display='block'>\r\n <mrow>\r\n <msup>\r\n <mi>f</mi>\r\n <mo>*</mo>\r\n </msup>\r\n <mo>⁡</mo>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>p</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <msup>\r\n <mi>f</mi>\r\n <mo>*</mo>\r\n </msup>\r\n <mo>⁡</mo>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>p</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='convex-conjugate(f)(p)'>\r\n <msup>\r\n <mi>f</mi>\r\n <mo>*</mo>\r\n </msup>\r\n <mo>⁡</mo>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>p</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </mrow>\r\n</math>", "latex": "f^*(p)", "id": "fb3f57e2f442a3674fda7159a3b92229" }, { "name": "intent on prefix mo", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>🐇</mo>\r\n <mi>X</mi>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>🐇</mo>\r\n <mi>X</mi>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow>\r\n <mo intent='my-function'>🐇</mo>\r\n <mi>X</mi>\r\n </mrow>\r\n</math>", "latex": "🐇 X", "id": "a44c0d69dd03eec9ca3b2ad816893e9d" }, { "name": "intent on mrow of prefix mo", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>🐇</mo>\r\n <mi>X</mi>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>🐇</mo>\r\n <mi>X</mi>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='my-function($X)'>\r\n <mo>🐇</mo>\r\n <mi arg='X'>X</mi>\r\n </mrow>\r\n</math>", "latex": "🐇 X", "id": "000ef44ac98c1bf35301c50ef7580af7" }, { "name": "vectimes hints", "mathML": "<math display='block'>\r\n <mrow>\r\n <mi>x</mi>\r\n <mo>⨯</mo>\r\n <mi>y</mi>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mi>x</mi>\r\n <mo>⨯</mo>\r\n <mi>y</mi>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow>\r\n <mi arg='x'>x</mi>\r\n <mo arg='prod'\r\n intent='cross-product'>⨯</mo>\r\n <mi arg='y'>y</mi>\r\n </mrow>\r\n</math>", "latex": "x \\vectimes y", "id": "0fc48295fd811e6b1488687b21c650f2" }, { "name": "x foo/boxplus y", "mathML": "<math display='block'>\r\n <mrow>\r\n <mi>x</mi>\r\n <mo>⊞</mo>\r\n <mi>y</mi>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mi>x</mi>\r\n <mo>⊞</mo>\r\n <mi>y</mi>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='foo:infix($x,$y)'>\r\n <mi arg='x'>x</mi>\r\n <mo>⊞</mo>\r\n <mi arg='y'>y</mi>\r\n </mrow>\r\n</math>", "latex": "x \\boxplus y", "id": "847441a4fb59f830796a988837647e4c" }, { "name": "vert x abs", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>|</mo>\r\n <mi>x</mi>\r\n <mo>|</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>|</mo>\r\n <mi>x</mi>\r\n <mo>|</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='absolute-value($x)'>\r\n <mo>|</mo>\r\n <mi arg='x'>x</mi>\r\n <mo>|</mo>\r\n </mrow>\r\n</math>", "latex": "\\lvert x\\rvert", "id": "6cb782e8d1dc1ff1670af488b5f565f1" }, { "name": "l2 norm x", "mathML": "<math display='block'>\r\n <msub>\r\n <mrow>\r\n <mo>|</mo>\r\n <mi>x</mi>\r\n <mo>|</mo>\r\n </mrow>\r\n <mn>2</mn>\r\n </msub>\r\n </math>", "mathML_default": "<math display='block'>\r\n <msub>\r\n <mrow>\r\n <mo>|</mo>\r\n <mi>x</mi>\r\n <mo>|</mo>\r\n </mrow>\r\n <mn>2</mn>\r\n </msub>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <msub intent='l2-norm($x)'>\r\n <mrow>\r\n <mo>|</mo>\r\n <mi arg='x'>x</mi>\r\n <mo>|</mo>\r\n </mrow>\r\n <mn>2</mn>\r\n </msub>\r\n</math>", "latex": "\\lvert x\\rvert_2", "id": "7e6435549105d86d5843fd7daa24ac07" }, { "name": "vert M determinant", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>|</mo>\r\n <mi>M</mi>\r\n <mo>|</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>|</mo>\r\n <mi>M</mi>\r\n <mo>|</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='determinant($M)'>\r\n <mo>|</mo>\r\n <mi arg='M'>M</mi>\r\n <mo>|</mo>\r\n </mrow>\r\n</math>", "latex": "\\lvert M\\rvert", "id": "46be8bdf7945165451836ec6f9ae82ab" }, { "name": "vert abcd determinant", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>|</mo>\r\n <mtable>\r\n <mtr>\r\n <mtd><mi>a</mi></mtd>\r\n <mtd><mi>b</mi></mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd><mi>c</mi></mtd>\r\n <mtd><mi>d</mi></mtd>\r\n </mtr>\r\n </mtable>\r\n <mo>|</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>|</mo>\r\n <mtable>\r\n <mtr>\r\n <mtd><mi>a</mi></mtd>\r\n <mtd><mi>b</mi></mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd><mi>c</mi></mtd>\r\n <mtd><mi>d</mi></mtd>\r\n </mtr>\r\n </mtable>\r\n <mo>|</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='determinant($M)'>\r\n <mo>|</mo>\r\n <mtable arg='M' intent=':matrix'>\r\n <mtr>\r\n <mtd><mi>a</mi></mtd>\r\n <mtd><mi>b</mi></mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd><mi>c</mi></mtd>\r\n <mtd><mi>d</mi></mtd>\r\n </mtr>\r\n </mtable>\r\n <mo>|</mo>\r\n </mrow>\r\n</math>", "latex": "\\begin{vmatrix}a&b\\\\c&d\\end{vmatrix}", "id": "06dfe7acbde9b5efd540d5b311ece76f" }, { "name": "Vert x magnitude", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>‖</mo>\r\n <mi>x</mi>\r\n <mo>‖</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>‖</mo>\r\n <mi>x</mi>\r\n <mo>‖</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='magnitude($x)'>\r\n <mo>‖</mo>\r\n <mi arg='x'>x</mi>\r\n <mo>‖</mo>\r\n </mrow>\r\n</math>", "latex": "\\lVert x\\rVert", "id": "92513434f7bc7fe4c9ae0c82c88c96e1" }, { "name": "open-open inverted bracket", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>]</mo>\r\n <mi>x</mi>\r\n <mo>,</mo>\r\n <mi>y</mi>\r\n <mo>[</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>]</mo>\r\n <mi>x</mi>\r\n <mo>,</mo>\r\n <mi>y</mi>\r\n <mo>[</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='open-interval($x,$y)'>\r\n <mo>]</mo>\r\n <mi arg='x'>x</mi>\r\n <mo>,</mo>\r\n <mi arg='y'>y</mi>\r\n <mo>[</mo>\r\n </mrow>\r\n</math>", "latex": "\\mathopen] x,y\\mathclose[\\rVert", "id": "b14792603f091e1cf28e3dd132815f4a" }, { "name": "open-open", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>,</mo>\r\n <mi>y</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>,</mo>\r\n <mi>y</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='open-interval($x,$y)'>\r\n <mo>(</mo>\r\n <mi arg='x'>x</mi>\r\n <mo>,</mo>\r\n <mi arg='y'>y</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "latex": "(x,y)", "id": "27bfe4359a3cb1b137874cb6f177f82d" }, { "name": "open-closed", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>,</mo>\r\n <mi>y</mi>\r\n <mo>]</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>,</mo>\r\n <mi>y</mi>\r\n <mo>]</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='open-closed-interval($x,$y)'>\r\n <mo>(</mo>\r\n <mi arg='x'>x</mi>\r\n <mo>,</mo>\r\n <mi arg='y'>y</mi>\r\n <mo>]</mo>\r\n </mrow>\r\n</math>", "latex": "(x,y]", "id": "c0f15cfea235dae42494b5a6136b03e3" }, { "name": "closed-open", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>[</mo>\r\n <mi>x</mi>\r\n <mo>,</mo>\r\n <mi>y</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>[</mo>\r\n <mi>x</mi>\r\n <mo>,</mo>\r\n <mi>y</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='closed-open-interval($x,$y)'>\r\n <mo>[</mo>\r\n <mi arg='x'>x</mi>\r\n <mo>,</mo>\r\n <mi arg='y'>y</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "latex": "[x,y)", "id": "89c82842a6c245fbe4771146a19b0583" }, { "name": "closed-closed", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>[</mo>\r\n <mi>x</mi>\r\n <mo>,</mo>\r\n <mi>y</mi>\r\n <mo>]</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>[</mo>\r\n <mi>x</mi>\r\n <mo>,</mo>\r\n <mi>y</mi>\r\n <mo>]</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='closed-interval($x,$y)'>\r\n <mo>[</mo>\r\n <mi arg='x'>x</mi>\r\n <mo>,</mo>\r\n <mi arg='y'>y</mi>\r\n <mo>]</mo>\r\n </mrow>\r\n</math>", "latex": "[x,y]", "id": "f857e87ac030876a5f7afe6d29adc52c" }, { "name": "cycle thin space", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo> </mo>\r\n <mi>y</mi>\r\n <mo> </mo>\r\n <mi>c</mi>\r\n <mo> </mo>\r\n <mi>d</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo> </mo>\r\n <mi>y</mi>\r\n <mo> </mo>\r\n <mi>c</mi>\r\n <mo> </mo>\r\n <mi>d</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='vector($x,$y,$c,$d)'>\r\n <mo>(</mo>\r\n <mi arg='x'>x</mi>\r\n <mo> </mo>\r\n <mi arg='y'>y</mi>\r\n <mo> </mo>\r\n <mi arg='c'>c</mi>\r\n <mo> </mo>\r\n <mi arg='d'>d</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "latex": "(a\\,b\\,c\\,d)", "id": "d0a5d6a1ff64a1c04fe4646297736087" }, { "name": "bmatrix", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>[</mo>\r\n <mtable>\r\n <mtr>\r\n <mtd><mi>a</mi></mtd>\r\n <mtd><mi>b</mi></mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd><mi>x</mi></mtd>\r\n <mtd><mi>y</mi></mtd>\r\n </mtr>\r\n </mtable>\r\n <mo>]</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>[</mo>\r\n <mtable>\r\n <mtr>\r\n <mtd><mi>a</mi></mtd>\r\n <mtd><mi>b</mi></mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd><mi>x</mi></mtd>\r\n <mtd><mi>y</mi></mtd>\r\n </mtr>\r\n </mtable>\r\n <mo>]</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='$m'>\r\n <mo>[</mo>\r\n <mtable arg='m' intent=':matrix'>\r\n <mtr>\r\n <mtd><mi>a</mi></mtd>\r\n <mtd><mi>b</mi></mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd><mi>x</mi></mtd>\r\n <mtd><mi>y</mi></mtd>\r\n </mtr>\r\n </mtable>\r\n <mo>]</mo>\r\n </mrow>\r\n</math>", "latex": "\\begin{bmatrix} a&b\\\\ x&y \\end{bmatrix}", "id": "40b8ecf2d091af0e003b076d2eed9a39" }, { "name": "pmatrix", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>(</mo>\r\n <mtable>\r\n <mtr>\r\n <mtd><mi>a</mi></mtd>\r\n <mtd><mi>b</mi></mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd><mi>x</mi></mtd>\r\n <mtd><mi>y</mi></mtd>\r\n </mtr>\r\n </mtable>\r\n <mo>)</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>(</mo>\r\n <mtable>\r\n <mtr>\r\n <mtd><mi>a</mi></mtd>\r\n <mtd><mi>b</mi></mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd><mi>x</mi></mtd>\r\n <mtd><mi>y</mi></mtd>\r\n </mtr>\r\n </mtable>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='$m'>\r\n <mo>(</mo>\r\n <mtable arg='m' intent=':matrix'>\r\n <mtr>\r\n <mtd><mi>a</mi></mtd>\r\n <mtd><mi>b</mi></mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd><mi>x</mi></mtd>\r\n <mtd><mi>y</mi></mtd>\r\n </mtr>\r\n </mtable>\r\n <mo>)</mo>\r\n </mrow>\r\n</math>", "latex": "\\begin{pmatrix} a&b\\\\ x&y \\end{pmatrix}", "id": "b0326ed98970ae5b4d13976dda3bd0b5" }, { "name": "braced system of equations", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>{</mo>\r\n <mtable>\r\n <mtr>\r\n <mtd>\r\n <mi>x</mi>\r\n <mo>+</mo>\r\n <mi>y</mi>\r\n </mtd>\r\n <mtd><mo>=</mo></mtd>\r\n <mtd><mn>2</mn></mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd>\r\n <mi>x</mi>\r\n <mo>−</mo>\r\n <mi>y</mi>\r\n </mtd>\r\n <mtd><mo>=</mo></mtd>\r\n <mtd><mn>0</mn></mtd>\r\n </mtr>\r\n </mtable>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>{</mo>\r\n <mtable>\r\n <mtr>\r\n <mtd>\r\n <mi>x</mi>\r\n <mo>+</mo>\r\n <mi>y</mi>\r\n </mtd>\r\n <mtd><mo>=</mo></mtd>\r\n <mtd><mn>2</mn></mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd>\r\n <mi>x</mi>\r\n <mo>−</mo>\r\n <mi>y</mi>\r\n </mtd>\r\n <mtd><mo>=</mo></mtd>\r\n <mtd><mn>0</mn></mtd>\r\n </mtr>\r\n </mtable>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='$m'>\r\n <mo>{</mo>\r\n <mtable arg='m' intent=':equations'>\r\n <mtr>\r\n <mtd>\r\n <mi>x</mi>\r\n <mo>+</mo>\r\n <mi>y</mi>\r\n </mtd>\r\n <mtd><mo>=</mo></mtd>\r\n <mtd><mn>2</mn></mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd>\r\n <mi>x</mi>\r\n <mo>−</mo>\r\n <mi>y</mi>\r\n </mtd>\r\n <mtd><mo>=</mo></mtd>\r\n <mtd><mn>0</mn></mtd>\r\n </mtr>\r\n </mtable>\r\n </mrow>\r\n</math>", "latex": "\\left\\{\\begin{aligned} x+y &= 2 \\\\ x-y &=0 \\end{aligned}\\right.", "id": "7aa03d6dec1bce2ead484a65161df1cd" }, { "name": "align 1", "mathML": "<math display='block'>\r\n <mtable>\r\n <mtr>\r\n <mtd columnalign='right'>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mi>x</mi>\r\n </mtd>\r\n <mtd columnalign='center'>\r\n <mo>=</mo>\r\n </mtd>\r\n <mtd columnalign='left'>\r\n <mn>1</mn>\r\n </mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd columnalign='right'>\r\n <mi>y</mi>\r\n </mtd>\r\n <mtd columnalign='center'>\r\n <mo>></mo>\r\n </mtd>\r\n <mtd columnalign='left'>\r\n <mi>x</mi>\r\n <mo>−</mo>\r\n <mn>3</mn>\r\n </mtd>\r\n </mtr>\r\n </mtable>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mtable>\r\n <mtr>\r\n <mtd columnalign='right'>\r\n <mn>2</mn>\r\n <mo>⁢<!--InvisibleTimes--></mo>\r\n <mi>x</mi>\r\n </mtd>\r\n <mtd columnalign='center'>\r\n <mo>=</mo>\r\n </mtd>\r\n <mtd columnalign='left'>\r\n <mn>1</mn>\r\n </mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd columnalign='right'>\r\n <mi>y</mi>\r\n </mtd>\r\n <mtd columnalign='center'>\r\n <mo>></mo>\r\n </mtd>\r\n <mtd columnalign='left'>\r\n <mi>x</mi>\r\n <mo>−</mo>\r\n <mn>3</mn>\r\n </mtd>\r\n </mtr>\r\n </mtable>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mtable intent=':equations'>\r\n <mtr>\r\n <mtd columnalign='right'>\r\n <mn>2</mn>\r\n <mo>⁢<!--InvisibleTimes--></mo>\r\n <mi>x</mi>\r\n </mtd>\r\n <mtd columnalign='center'>\r\n <mo>=</mo>\r\n </mtd>\r\n <mtd columnalign='left'>\r\n <mn>1</mn>\r\n </mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd columnalign='right'>\r\n <mi>y</mi>\r\n </mtd>\r\n <mtd columnalign='center'>\r\n <mo>></mo>\r\n </mtd>\r\n <mtd columnalign='left'>\r\n <mi>x</mi>\r\n <mo>−</mo>\r\n <mn>3</mn>\r\n </mtd>\r\n </mtr>\r\n </mtable>\r\n</math>", "latex": "\\begin{align}...", "id": "8b12da51c6b5482c95bb54ccdc5605fc" }, { "name": " alignment with wrapped line", "mathML": "<math display='block'>\r\n <mtable>\r\n <mtr>\r\n <mtd columnalign='right'>\r\n <mi>a</mi>\r\n </mtd>\r\n <mtd columnalign='center'>\r\n <mo>=</mo>\r\n </mtd>\r\n <mtd columnalign='left'>\r\n <mi>b</mi>\r\n <mo>+</mo>\r\n <mi>c</mi>\r\n <mo>−</mo>\r\n <mi>d</mi>\r\n </mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd columnalign='right'></mtd>\r\n <mtd columnalign='center'></mtd>\r\n <mtd columnalign='left'>\r\n <mo form='infix'>+</mo>\r\n <mi>e</mi>\r\n <mo>−</mo>\r\n <mi>f</mi>\r\n </mtd>\r\n </mtr>\r\n </mtable>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mtable>\r\n <mtr>\r\n <mtd columnalign='right'>\r\n <mi>a</mi>\r\n </mtd>\r\n <mtd columnalign='center'>\r\n <mo>=</mo>\r\n </mtd>\r\n <mtd columnalign='left'>\r\n <mi>b</mi>\r\n <mo>+</mo>\r\n <mi>c</mi>\r\n <mo>−</mo>\r\n <mi>d</mi>\r\n </mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd columnalign='right'></mtd>\r\n <mtd columnalign='center'></mtd>\r\n <mtd columnalign='left'>\r\n <mo form='infix'>+</mo>\r\n <mi>e</mi>\r\n <mo>−</mo>\r\n <mi>f</mi>\r\n </mtd>\r\n </mtr>\r\n </mtable>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mtable intent='equation:prefix($e1,$e1x)'>\r\n <mtr arg='e1'>\r\n <mtd columnalign='right'>\r\n <mi>a</mi>\r\n </mtd>\r\n <mtd columnalign='center'>\r\n <mo>=</mo>\r\n </mtd>\r\n <mtd intent='_($lhs)' columnalign='left'>\r\n <mrow arg='lhs'>\r\n <mi>b</mi>\r\n <mo>+</mo>\r\n <mi>c</mi>\r\n <mo>−</mo>\r\n <mi>d</mi>\r\n </mrow>\r\n </mtd>\r\n </mtr>\r\n <mtr arg='e1x'>\r\n <mtd intent='_' columnalign='right'></mtd>\r\n <mtd intent='_' columnalign='center'></mtd>\r\n <mtd arg='rhs' columnalign='left'>\r\n <mo form='infix'>+</mo>\r\n <mi>e</mi>\r\n <mo>−</mo>\r\n <mi>f</mi>\r\n </mtd>\r\n </mtr>\r\n </mtable>\r\n</math>", "latex": "\\begin{aligned}... wrapped", "id": "3a54aa6dad9db715c87af045bfd5fcde" }, { "name": "aligned derivation", "mathML": "<math display='block'>\r\n <mrow>\r\n <mtable>\r\n <mtr>\r\n <mtd>\r\n <msup>\r\n <mrow>\r\n <mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>)</mo>\r\n </mrow>\r\n <mn>2</mn>\r\n </msup>\r\n </mtd>\r\n <mtd>\r\n <mo>=</mo>\r\n </mtd>\r\n <mtd>\r\n <msup><mi>a</mi><mn>2</mn></msup>\r\n <mo>+</mo>\r\n <mrow>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mi>a</mi>\r\n <mo>⁢</mo>\r\n <mi>b</mi>\r\n </mrow>\r\n <mo>+</mo>\r\n <msup><mi>b</mi><mn>2</mn></msup>\r\n </mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd></mtd>\r\n <mtd>\r\n <mo>⩽</mo>\r\n </mtd>\r\n <mtd>\r\n <mrow>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mi>a</mi>\r\n <mo>⁢</mo>\r\n <mi>b</mi>\r\n </mrow>\r\n <mo>+</mo>\r\n <msup><mi>b</mi><mn>2</mn></msup>\r\n </mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd></mtd>\r\n <mtd>\r\n <mo>=</mo>\r\n </mtd>\r\n <mtd>\r\n <mi>b</mi>\r\n <mo>⁢</mo>\r\n <mrow>\r\n <mo>(</mo>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mi>a</mi>\r\n <mo>+</mo>\r\n <mi>b</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </mtd>\r\n </mtr>\r\n </mtable>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mtable>\r\n <mtr>\r\n <mtd>\r\n <msup>\r\n <mrow>\r\n <mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>)</mo>\r\n </mrow>\r\n <mn>2</mn>\r\n </msup>\r\n </mtd>\r\n <mtd>\r\n <mo>=</mo>\r\n </mtd>\r\n <mtd>\r\n <msup><mi>a</mi><mn>2</mn></msup>\r\n <mo>+</mo>\r\n <mrow>\r\n <mn>2</mn>\r\n <mo>⁢<!--InvisibleTimes--></mo>\r\n <mi>a</mi>\r\n <mo>⁢<!--InvisibleTimes--></mo>\r\n <mi>b</mi>\r\n </mrow>\r\n <mo>+</mo>\r\n <msup><mi>b</mi><mn>2</mn></msup>\r\n </mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd></mtd>\r\n <mtd>\r\n <mo>⩽</mo>\r\n </mtd>\r\n <mtd>\r\n <mrow>\r\n <mn>2</mn>\r\n <mo>⁢<!--InvisibleTimes--></mo>\r\n <mi>a</mi>\r\n <mo>⁢<!--InvisibleTimes--></mo>\r\n <mi>b</mi>\r\n </mrow>\r\n <mo>+</mo>\r\n <msup><mi>b</mi><mn>2</mn></msup>\r\n </mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd></mtd>\r\n <mtd>\r\n <mo>=</mo>\r\n </mtd>\r\n <mtd>\r\n <mi>b</mi>\r\n <mo>⁢<!--InvisibleTimes--></mo>\r\n <mrow>\r\n <mo>(</mo>\r\n <mn>2</mn>\r\n <mo>⁢<!--InvisibleTimes--></mo>\r\n <mi>a</mi>\r\n <mo>+</mo>\r\n <mi>b</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </mtd>\r\n </mtr>\r\n </mtable>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='derivation($m)'>\r\n <mtable arg='m' intent=':lines'>\r\n <mtr>\r\n <mtd>\r\n <msup>\r\n <mrow>\r\n <mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>)</mo>\r\n </mrow>\r\n <mn>2</mn>\r\n </msup>\r\n </mtd>\r\n <mtd>\r\n <mo>=</mo>\r\n </mtd>\r\n <mtd>\r\n <msup><mi>a</mi><mn>2</mn></msup>\r\n <mo>+</mo>\r\n <mrow>\r\n <mn>2</mn>\r\n <mo>⁢<!--InvisibleTimes--></mo>\r\n <mi>a</mi>\r\n <mo>⁢<!--InvisibleTimes--></mo>\r\n <mi>b</mi>\r\n </mrow>\r\n <mo>+</mo>\r\n <msup><mi>b</mi><mn>2</mn></msup>\r\n </mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd></mtd>\r\n <mtd>\r\n <mo>⩽</mo>\r\n </mtd>\r\n <mtd>\r\n <mrow>\r\n <mn>2</mn>\r\n <mo>⁢<!--InvisibleTimes--></mo>\r\n <mi>a</mi>\r\n <mo>⁢<!--InvisibleTimes--></mo>\r\n <mi>b</mi>\r\n </mrow>\r\n <mo>+</mo>\r\n <msup><mi>b</mi><mn>2</mn></msup>\r\n </mtd>\r\n </mtr>\r\n <mtr>\r\n <mtd></mtd>\r\n <mtd>\r\n <mo>=</mo>\r\n </mtd>\r\n <mtd>\r\n <mi>b</mi>\r\n <mo>⁢<!--InvisibleTimes--></mo>\r\n <mrow>\r\n <mo>(</mo>\r\n <mn>2</mn>\r\n <mo>⁢<!--InvisibleTimes--></mo>\r\n <mi>a</mi>\r\n <mo>+</mo>\r\n <mi>b</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </mtd>\r\n </mtr>\r\n </mtable>\r\n </mrow>\r\n</math>", "latex": "\\begin{align}...", "id": "6f65c4b23ee07e2568a04a53b30c795f" }, { "name": "dot x", "mathML": "<math display='block'>\r\n <mover>\r\n <mi>x</mi>\r\n <mo>˙</mo>\r\n </mover>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mover>\r\n <mi>x</mi>\r\n <mo>˙</mo>\r\n </mover>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mover intent='derivative($x,1)'>\r\n <mi arg='x'>x</mi>\r\n <mo>˙</mo>\r\n </mover>\r\n</math>", "latex": "\\dot{x}", "id": "c25f1dbedb5de810c420d5fd07dcfd86" }, { "name": "ddot x", "mathML": "<math display='block'>\r\n <mover>\r\n <mi>x</mi>\r\n <mo>¨</mo>\r\n </mover>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mover>\r\n <mi>x</mi>\r\n <mo>¨</mo>\r\n </mover>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mover intent='derivative($x,2)'>\r\n <mi arg='x'>x</mi>\r\n <mo>¨</mo>\r\n </mover>\r\n</math>", "latex": "\\ddot{x}", "id": "450e30edd13ef3fa12569bf48dfa30be" }, { "name": "dx by dt", "mathML": "<math display='block'>\r\n <mfrac>\r\n <mrow><mi>d</mi><mi>x</mi></mrow>\r\n <mrow><mi>d</mi><mi>t</mi></mrow>\r\n </mfrac>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mfrac>\r\n <mrow><mi>d</mi><mi>x</mi></mrow>\r\n <mrow><mi>d</mi><mi>t</mi></mrow>\r\n </mfrac>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mfrac intent='derivative($x,1,$t)'>\r\n <mrow><mi>d</mi><mi arg='x'>x</mi></mrow>\r\n <mrow><mi>d</mi><mi arg='t'>t</mi></mrow>\r\n </mfrac>\r\n</math>", "latex": "\\frac{dx}{dt}", "id": "54afe7628ceac40ee391f52e48b2bac8" }, { "name": "d by dt f of t", "mathML": "<math display='block'>\r\n <mrow>\r\n <mfrac>\r\n <mrow><mi>d</mi></mrow>\r\n <mrow><mi>d</mi><mi>t</mi></mrow>\r\n </mfrac>\r\n <mrow>\r\n <mi>f</mi>\r\n <mo>⁡</mo>\r\n <mo>(</mo>\r\n <mi>t</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mfrac>\r\n <mrow><mi>d</mi></mrow>\r\n <mrow><mi>d</mi><mi>t</mi></mrow>\r\n </mfrac>\r\n <mrow>\r\n <mi>f</mi>\r\n <mo>⁡</mo>\r\n <mo>(</mo>\r\n <mi>t</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='derivative($ft,1,$t)'>\r\n <mfrac>\r\n <mrow><mi>d</mi></mrow>\r\n <mrow><mi>d</mi><mi arg='t'>t</mi></mrow>\r\n </mfrac>\r\n <mrow arg='ft'>\r\n <mi>f</mi>\r\n <mo>⁡</mo>\r\n <mo>(</mo>\r\n <mi>t</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n </mrow>\r\n</math>", "latex": "\\frac{d}{dt}f(t)", "id": "165432696535dbe9f054fd44b9bd6309" }, { "name": "dx2 by dt2", "mathML": "<math display='block'>\r\n <mfrac>\r\n <mrow>\r\n <msup>\r\n <mi>d</mi><mn>2</mn>\r\n </msup>\r\n <mi>x</mi>\r\n </mrow>\r\n <mrow>\r\n <mi>d</mi>\r\n <msup>\r\n <mi>t</mi>\r\n <mn>2</mn>\r\n </msup>\r\n </mrow>\r\n </mfrac>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mfrac>\r\n <mrow>\r\n <msup>\r\n <mi>d</mi><mn>2</mn>\r\n </msup>\r\n <mi>x</mi>\r\n </mrow>\r\n <mrow>\r\n <mi>d</mi>\r\n <msup>\r\n <mi>t</mi>\r\n <mn>2</mn>\r\n </msup>\r\n </mrow>\r\n </mfrac>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mfrac intent='derivative($x,2,$t)'>\r\n <mrow>\r\n <msup>\r\n <mi>d</mi><mn>2</mn>\r\n </msup>\r\n <mi arg='x'>x</mi>\r\n </mrow>\r\n <mrow>\r\n <mi>d</mi>\r\n <msup>\r\n <mi arg='t'>t</mi>\r\n <mn>2</mn>\r\n </msup>\r\n </mrow>\r\n </mfrac>\r\n</math>", "latex": "\\frac{d^2x}{dt^2}", "id": "c0bd9c7ca999bd5978e605557ce21b51" }, { "name": "partial df by dx dy", "mathML": "<math display='block'>\r\n <mfrac>\r\n <mrow>\r\n <msup>\r\n <mo>∂</mo><mn>2</mn>\r\n </msup>\r\n <mi>f</mi>\r\n </mrow>\r\n <mrow>\r\n <mrow>\r\n <mo>∂</mo>\r\n <mi>x</mi>\r\n </mrow>\r\n <mrow>\r\n <mo>∂</mo>\r\n <mi>y</mi>\r\n </mrow>\r\n </mrow>\r\n </mfrac>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mfrac>\r\n <mrow>\r\n <msup>\r\n <mo>∂</mo><mn>2</mn>\r\n </msup>\r\n <mi>f</mi>\r\n </mrow>\r\n <mrow>\r\n <mrow>\r\n <mo>∂</mo>\r\n <mi>x</mi>\r\n </mrow>\r\n <mrow>\r\n <mo>∂</mo>\r\n <mi>y</mi>\r\n </mrow>\r\n </mrow>\r\n </mfrac>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mfrac intent='partial-second-derivative(\r\n $f,$x,$y)'>\r\n <mrow>\r\n <msup>\r\n <mo>∂</mo><mn>2</mn>\r\n </msup>\r\n <mi arg='f'>f</mi>\r\n </mrow>\r\n <mrow>\r\n <mrow>\r\n <mo>∂</mo>\r\n <mi arg='x'>x</mi>\r\n </mrow>\r\n <mrow>\r\n <mo>∂</mo>\r\n <mi arg='y'>y</mi>\r\n </mrow>\r\n </mrow>\r\n </mfrac>\r\n</math>", "latex": "\\frac{\\partial^2 f}{\\partial x \\partial y}", "id": "0aad0e564c4ec2de1122900012952f11" }, { "name": "int f(x) dx", "mathML": "<math display='block'>\r\n <mo>∫</mo>\r\n <mrow>\r\n <mi>f</mi>\r\n <mo>⁡</mo>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n <mrow>\r\n <mi>d</mi>\r\n <mi>x</mi>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mo>∫</mo>\r\n <mrow>\r\n <mi>f</mi>\r\n <mo>⁡</mo>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n <mrow>\r\n <mi>d</mi>\r\n <mi>x</mi>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mo>∫</mo>\r\n <mrow>\r\n <mi>f</mi>\r\n <mo>⁡</mo>\r\n <mo>(</mo>\r\n <mi>x</mi>\r\n <mo>)</mo>\r\n </mrow>\r\n <mrow>\r\n <mi>d</mi>\r\n <mi>x</mi>\r\n </mrow>\r\n</math>", "latex": "\\int f(x) dx", "id": "b8f7ff33d564efef25b990dd2a6ee6b7" }, { "name": "defint 0 to 1 x squared", "mathML": "<math display='block'>\r\n <mrow>\r\n <msubsup>\r\n <mo>∫</mo>\r\n <mn>0</mn>\r\n <mn>1</mn>\r\n </msubsup>\r\n <msup><mi>x</mi><mn>2</mn></msup>\r\n <mi>d</mi>\r\n <mi>x</mi>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <msubsup>\r\n <mo>∫</mo>\r\n <mn>0</mn>\r\n <mn>1</mn>\r\n </msubsup>\r\n <msup><mi>x</mi><mn>2</mn></msup>\r\n <mi>d</mi>\r\n <mi>x</mi>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow>\r\n <msubsup>\r\n <mo>∫</mo>\r\n <mn>0</mn>\r\n <mn>1</mn>\r\n </msubsup>\r\n <msup><mi>x</mi><mn>2</mn></msup>\r\n <mi>d</mi>\r\n <mi>x</mi>\r\n </mrow>\r\n</math>", "latex": "\\int_0^1 x^2 dx", "id": "301d3c2e7eac784da0300a8b36c1b2a9" }, { "name": "evaluate 2x at 1 and 0 bracket", "mathML": "<math display='block' mathbackground='yellow'>\r\n <mrow>\r\n <mo>[</mo>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mi>x</mi>\r\n <msubsup>\r\n <mo>]</mo>\r\n <mn>0</mn>\r\n <mn>1</mn>\r\n </msubsup>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block' mathbackground='yellow'>\r\n <mrow>\r\n <mo>[</mo>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mi>x</mi>\r\n <msubsup>\r\n <mo>]</mo>\r\n <mn>0</mn>\r\n <mn>1</mn>\r\n </msubsup>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow>\r\n <mo>[</mo>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mi>x</mi>\r\n <msubsup>\r\n <mo>]</mo>\r\n <mn>0</mn>\r\n <mn>1</mn>\r\n </msubsup>\r\n </mrow>\r\n</math>", "latex": "[2x]_0^1", "id": "c9e745d476ab9bfc8e2d4f044179afb7" }, { "name": "evaluate 2x at 1 and 0 bracket expression in base ", "mathML": "<math display='block' mathbackground='yellow'>\r\n <msubsup>\r\n <mrow>\r\n <mo>[</mo>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mi>x</mi>\r\n <mo>]</mo>\r\n </mrow>\r\n <mn>0</mn>\r\n <mn>1</mn>\r\n </msubsup>\r\n </math>", "mathML_default": "<math display='block' mathbackground='yellow'>\r\n <msubsup>\r\n <mrow>\r\n <mo>[</mo>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mi>x</mi>\r\n <mo>]</mo>\r\n </mrow>\r\n <mn>0</mn>\r\n <mn>1</mn>\r\n </msubsup>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <msubsup>\r\n <mrow>\r\n <mo>[</mo>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mi>x</mi>\r\n <mo>]</mo>\r\n </mrow>\r\n <mn>0</mn>\r\n <mn>1</mn>\r\n </msubsup>\r\n</math>", "latex": "[2x]_0^1", "id": "43692ab32dcbb00415649ba18d231c32" }, { "name": "evaluate 2x at 1 and 0 vertical bar", "mathML": "<math display='block' mathbackground='yellow'>\r\n <mrow>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mi>x</mi>\r\n <msubsup>\r\n <mo>|</mo>\r\n <mn>0</mn>\r\n <mn>1</mn>\r\n </msubsup>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block' mathbackground='yellow'>\r\n <mrow>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mi>x</mi>\r\n <msubsup>\r\n <mo>|</mo>\r\n <mn>0</mn>\r\n <mn>1</mn>\r\n </msubsup>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mi>x</mi>\r\n <msubsup>\r\n <mo>|</mo>\r\n <mn>0</mn>\r\n <mn>1</mn>\r\n </msubsup>\r\n </mrow>\r\n</math>", "latex": "2x|_0^1", "id": "0c63769fb597b4cbd7924e9cba937ca3" }, { "name": "evaluate 2x at 1 and 0 vertical bar expression in base", "mathML": "<math display='block' mathbackground='yellow'>\r\n <msubsup>\r\n <mrow>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mi>x</mi>\r\n <mo>|</mo>\r\n </mrow>\r\n <mn>0</mn>\r\n <mn>1</mn>\r\n </msubsup>\r\n </math>", "mathML_default": "<math display='block' mathbackground='yellow'>\r\n <msubsup>\r\n <mrow>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mi>x</mi>\r\n <mo>|</mo>\r\n </mrow>\r\n <mn>0</mn>\r\n <mn>1</mn>\r\n </msubsup>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <msubsup>\r\n <mrow>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mi>x</mi>\r\n <mo>|</mo>\r\n </mrow>\r\n <mn>0</mn>\r\n <mn>1</mn>\r\n </msubsup>\r\n</math>", "latex": "2x|_0^1", "id": "074437988ce3e238298e9b105d6ecfbe" }, { "name": "oint 1 over z dz", "mathML": "<math display='block'>\r\n <msub>\r\n <mo>∮</mo>\r\n <mi>C</mi>\r\n </msub>\r\n <mfrac>\r\n <mn>1</mn>\r\n <mi>z</mi>\r\n </mfrac>\r\n <mrow>\r\n <mi>d</mi>\r\n <mi>z</mi>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <msub>\r\n <mo>∮</mo>\r\n <mi>C</mi>\r\n </msub>\r\n <mfrac>\r\n <mn>1</mn>\r\n <mi>z</mi>\r\n </mfrac>\r\n <mrow>\r\n <mi>d</mi>\r\n <mi>z</mi>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <msub>\r\n <mo>∮</mo>\r\n <mi>C</mi>\r\n </msub>\r\n <mfrac>\r\n <mn>1</mn>\r\n <mi>z</mi>\r\n </mfrac>\r\n <mrow>\r\n <mi>d</mi>\r\n <mi>z</mi>\r\n </mrow>\r\n</math>", "latex": "\\oint \\frac{1}{z} dz", "id": "8dbb651bc0d2382993192f6310305db9" }, { "name": " NFC v dot and w dot", "mathML": "<math display='block'>\r\n <mrow>\r\n <mrow>\r\n <mover>\r\n <mi>v</mi>\r\n <mo>˙</mo>\r\n </mover>\r\n <mo>**</mo>\r\n <mn>2</mn>\r\n </mrow>\r\n <mo>+</mo>\r\n <mrow>\r\n <mover>\r\n <mi>w</mi>\r\n <mo>˙</mo>\r\n </mover>\r\n <mo>**</mo>\r\n <mn>2</mn>\r\n </mrow>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mrow>\r\n <mover>\r\n <mi>v</mi>\r\n <mo>˙</mo>\r\n </mover>\r\n <mo>**</mo>\r\n <mn>2</mn>\r\n </mrow>\r\n <mo>+</mo>\r\n <mrow>\r\n <mover>\r\n <mi>w</mi>\r\n <mo>˙</mo>\r\n </mover>\r\n <mo>**</mo>\r\n <mn>2</mn>\r\n </mrow>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow>\r\n <mrow intent='power($v̇, $n)'>\r\n <mover arg='v̇' intent='first-deriv(v)'>\r\n <mi>v</mi>\r\n <mo>˙</mo>\r\n </mover>\r\n <mo>**</mo>\r\n <mn arg='n'>2</mn>\r\n </mrow>\r\n <mo>+</mo>\r\n <mrow intent='power($ẇ, $n)'>\r\n <mover arg='ẇ' intent='first-deriv(w)'>\r\n <mi>w</mi>\r\n <mo>˙</mo>\r\n </mover>\r\n <mo>**</mo>\r\n <mn arg='n'>2</mn>\r\n </mrow>\r\n </mrow>\r\n</math>", "latex": "\\dot{v}**2+\\dot{w}**2", "id": "8a1ff742386c9d95be2bfe85af9c98b3" }, { "name": "x with string", "mathML": "<math display='block'>\r\n <mi>x</mi>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mi>x</mi>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mi intent='the_variable_x'>x</mi>\r\n</math>", "latex": "x", "id": "c91d1449db85d1186fcce402dbfae26b" }, { "name": "a plus b factorial unary plus intent", "mathML": "<math display='block'>\r\n <mrow>\r\n <mi>a</mi>\r\n <mo>+</mo>\r\n <mi>b</mi>\r\n <mo>!</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mi>a</mi>\r\n <mo>+</mo>\r\n <mi>b</mi>\r\n <mo>!</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='$p(_($a, $f($b)))'>\r\n <mi arg='a'>a</mi>\r\n <mo arg='p' intent='plus'>+</mo>\r\n <mi arg='b'>b</mi>\r\n <mo arg='f' intent='factorial'>!</mo>\r\n </mrow>\r\n</math>", "latex": "a+b!", "id": "6b99f97897a5b53ddce315859d526f45" }, { "name": "Properties on argref", "mathML": "<math display='block'>\r\n <mrow>\r\n <mi>a</mi>\r\n <mo>+</mo>\r\n <mi>b</mi>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mi>a</mi>\r\n <mo>+</mo>\r\n <mi>b</mi>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='foo:int:silent(bar:positive-int-int, $a:foo-bar-foo-bar, $b:number)'>\r\n <mi arg='a'>a</mi>\r\n <mo arg='p' intent='plus'>+</mo>\r\n <mi arg='b' intent='b:negative-int-int'>b</mi>\r\n </mrow>\r\n</math>", "latex": "a+b", "id": "5b3972811b305dc6b5d742bd7e5e0288" }, { "name": "free r-algebra on x", "mathML": "<math display='block'>\r\n <mrow>\r\n <mi>R</mi>\r\n <mo>⟨</mo>\r\n <mi>X</mi>\r\n <mo>⟩</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mi>R</mi>\r\n <mo>⟨</mo>\r\n <mi>X</mi>\r\n <mo>⟩</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='_(free, $r, _algebra_on, $x)'>\r\n <mi arg='r'>R</mi>\r\n <mo>⟨</mo>\r\n <mi arg='x'>X</mi>\r\n <mo>⟩</mo>\r\n </mrow>\r\n</math>", "latex": "R\\langle X\\rangle", "id": "dc9d1a5f6cdc19647066e7237b22c2d2" }, { "name": "x plus 2 times the absolute-value of y minus z", "mathML": "<math display='block'>\r\n <mrow>\r\n <mi>x</mi>\r\n <mo>+</mo>\r\n <mn>2</mn>\r\n <mo>|</mo>\r\n <mi>y</mi>\r\n <mo>-</mo>\r\n <mi>z</mi>\r\n <mo>|</mo>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mi>x</mi>\r\n <mo>+</mo>\r\n <mn>2</mn>\r\n <mo>|</mo>\r\n <mi>y</mi>\r\n <mo>-</mo>\r\n <mi>z</mi>\r\n <mo>|</mo>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='plus:infix($x,times:infix(2,absolute-value(minus:infix($y,$z))))'>\r\n <mi arg='x'>x</mi>\r\n <mo>+</mo>\r\n <mn>2</mn>\r\n <mo>|</mo>\r\n <mi arg='y'>y</mi>\r\n <mo>-</mo>\r\n <mi arg='z'>z</mi>\r\n <mo>|</mo>\r\n </mrow>\r\n</math>", "latex": "x+2\\lvert y-z\\rvert", "id": "8f3e17276b76efbac0ac1e647b220eb1" }, { "name": "NCR x28 and x24", "mathML": "<math display='block'>\r\n <mrow>\r\n <mi>log</mi>\r\n <mi>X</mi>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mi>log</mi>\r\n <mi>X</mi>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='log(x)'/>\r\n</math>", "latex": "\\log x", "id": "b8b11e21469bd78e360b91de46fc7c4c" }, { "name": "nested html b", "mathML": "<math display='block'>\r\n <mi>x</mi>\r\n <mo>+</mo>\r\n <mtext>a <b>bold</b> word</mtext>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mi>x</mi>\r\n <mo>+</mo>\r\n <mtext>a <b>bold</b> word</mtext>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mi>x</mi>\r\n <mo>+</mo>\r\n <mtext>a <b>bold</b> word</mtext>\r\n</math>", "latex": "x+\\text{a \\textbf{bold} word", "id": "099561ee187976f9a2786b9f2f343664" }, { "name": "H20", "mathML": "<math display='block'>\r\n <mrow>\r\n <mmultiscripts>\r\n <mi mathvariant='normal'>H</mi>\r\n <mn>2</mn>\r\n <mrow></mrow>\r\n </mmultiscripts>\r\n <mi mathvariant='normal'>O</mi>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mmultiscripts>\r\n <mi mathvariant='normal'>H</mi>\r\n <mn>2</mn>\r\n <mrow/>\r\n </mmultiscripts>\r\n <mi mathvariant='normal'>O</mi>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent=':chemical-formula'>\r\n <mmultiscripts>\r\n <mi mathvariant='normal' intent=':chemical-element'>H</mi>\r\n <mn>2</mn>\r\n <mrow/>\r\n </mmultiscripts>\r\n <mi mathvariant='normal' intent=':chemical-element'>O</mi>\r\n </mrow>\r\n</math>", "latex": "\\ce{H20}", "id": "eafded0189cc86f7e73ddbb61fb80645" }, { "name": "2 H2O → 2 H2 + O", "mathML": "<math display='block'>\r\n <mrow>\r\n <mrow>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mrow>\r\n <mmultiscripts>\r\n <mi mathvariant='normal'>H</mi>\r\n <mn>2</mn>\r\n <mrow></mrow>\r\n </mmultiscripts>\r\n <mo>⁣</mo>\r\n <mi mathvariant='normal'>O</mi>\r\n </mrow>\r\n </mrow>\r\n <mo>⟶</mo>\r\n <mrow>\r\n <mrow>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mmultiscripts>\r\n <mi mathvariant='normal'>H</mi>\r\n <mn>2</mn>\r\n <mrow></mrow>\r\n </mmultiscripts>\r\n </mrow>\r\n <mo>+</mo>\r\n <mmultiscripts>\r\n <mi mathvariant='normal'>O</mi>\r\n <mn>2</mn>\r\n <mrow></mrow>\r\n </mmultiscripts>\r\n </mrow>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mrow>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mrow>\r\n <mmultiscripts>\r\n <mi mathvariant='normal'>H</mi>\r\n <mn>2</mn>\r\n <mrow/>\r\n </mmultiscripts>\r\n <mo>⁣</mo>\r\n <mi mathvariant='normal'>O</mi>\r\n </mrow>\r\n </mrow>\r\n <mo>⟶</mo>\r\n <mrow>\r\n <mrow>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mmultiscripts>\r\n <mi mathvariant='normal'>H</mi>\r\n <mn>2</mn>\r\n <mrow/>\r\n </mmultiscripts>\r\n </mrow>\r\n <mo>+</mo>\r\n <mmultiscripts>\r\n <mi mathvariant='normal'>O</mi>\r\n <mn>2</mn>\r\n <mrow/>\r\n </mmultiscripts>\r\n </mrow>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent=':chemical-equation'>\r\n <mrow intent=':chemical-equation'>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mrow intent=':chemical-equation'>\r\n <mmultiscripts intent=':chemical-formula'>\r\n <mi mathvariant='normal' intent=':chemical-element'>H</mi>\r\n <mn>2</mn>\r\n <mrow/>\r\n </mmultiscripts>\r\n <mo>⁣</mo>\r\n <mi mathvariant='normal' intent=':chemical-element'>O</mi>\r\n </mrow>\r\n </mrow>\r\n <mo>⟶</mo>\r\n <mrow intent=':chemical-equation'>\r\n <mrow intent=':chemical-equation'>\r\n <mn>2</mn>\r\n <mo>⁢</mo>\r\n <mmultiscripts intent=':chemical-formula'>\r\n <mi mathvariant='normal' intent=':chemical-element'>H</mi>\r\n <mn>2</mn>\r\n <mrow/>\r\n </mmultiscripts>\r\n </mrow>\r\n <mo>+</mo>\r\n <mmultiscripts intent=':chemical-formula'>\r\n <mi mathvariant='normal' intent=':chemical-element'>O</mi>\r\n <mn>2</mn>\r\n <mrow/>\r\n </mmultiscripts>\r\n </mrow>\r\n </mrow>\r\n</math>", "latex": "\\ce{2 H2O → 2 H2 + O2}", "id": "aa6dda9e5698b378c6c6ae6e945f7d2d" }, { "name": "0-ary divides", "mathML": "<math display='block'>\r\n <mfrac>\r\n <mi>x</mi>\r\n <mi>y</mi>\r\n </mfrac>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mfrac>\r\n <mi>x</mi>\r\n <mi>y</mi>\r\n </mfrac>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mfrac intent='divides'>\r\n <mi>x</mi>\r\n <mi>y</mi>\r\n </mfrac>\r\n</math>", "latex": " - ", "id": "6d0253b60611a4d376e6ac673a58c157" }, { "name": "1-ary divides", "mathML": "<math display='block'>\r\n <mfrac>\r\n <mi>x</mi>\r\n <mi>y</mi>\r\n </mfrac>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mfrac>\r\n <mi>x</mi>\r\n <mi>y</mi>\r\n </mfrac>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mfrac intent='divides(z)'>\r\n <mi>x</mi>\r\n <mi>y</mi>\r\n </mfrac>\r\n</math>", "latex": " - ", "id": "e3e958b5e0acaf9e6bf2269b03696d99" }, { "name": "3-ary divides", "mathML": "<math display='block'>\r\n <mfrac>\r\n <mi>x</mi>\r\n <mi>y</mi>\r\n </mfrac>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mfrac>\r\n <mi>x</mi>\r\n <mi>y</mi>\r\n </mfrac>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mfrac intent='divides(w,x,y)'>\r\n <mi>x</mi>\r\n <mi>y</mi>\r\n </mfrac>\r\n</math>", "latex": " - ", "id": "772c48cd62a4c9959232305fd0340551" }, { "name": "1-ary ray", "mathML": "<math display='block'>\r\n <mover>\r\n <mi>X</mi>\r\n <mo>→</mo>\r\n </mover>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mover>\r\n <mi>X</mi>\r\n <mo>→</mo>\r\n </mover>\r\n</math>", "mathML_explicit": "<math display='block' mathbackground='yellow'>\r\n <mover intent='ray($X)'>\r\n <mi arg='X'>X</mi>\r\n <mo>→</mo>\r\n </mover>\r\n</math>", "latex": " - ", "id": "c3d4d52ea59ec3b3cbece1627193d227" }, { "name": "content mathml sin x", "mathML": "<math display='block'>\r\n <apply>\r\n <sin></sin>\r\n <ci>x</ci>\r\n </apply>\r\n </math>", "mathML_default": "<math display='block'>\r\n <apply>\r\n <sin/>\r\n <ci>x</ci>\r\n </apply>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <apply intent='sin(x)'>\r\n <sin/>\r\n <ci>x</ci>\r\n </apply>\r\n</math>", "latex": "\\sin x", "id": "7414316c7cc37d6bc58aeb42eb638ca9" }, { "name": "bad intent paren", "mathML": "<math display='block'>\r\n <mfrac>\r\n <mi>x</mi>\r\n <mi>y</mi>\r\n </mfrac>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mfrac>\r\n <mi>x</mi>\r\n <mi>y</mi>\r\n </mfrac>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mfrac><mi intent='hmm)('>x</mi>\r\n <mi>y</mi>\r\n </mfrac>\r\n</math>", "latex": " - ", "id": "75ac73906d50d6469149b617243b7228" }, { "name": "bad intent argref", "mathML": "<math display='block'>\r\n <mrow>\r\n <mn>1.234</mn>\r\n <mo>+</mo>\r\n <mi>x</mi>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mn>1.234</mn>\r\n <mo>+</mo>\r\n <mi>x</mi>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block' mathbackground='yellow'>\r\n <mrow intent='sum($a,$b)'>\r\n <mn>1.234</mn>\r\n <mo>+</mo>\r\n <mi>x</mi>\r\n </mrow>\r\n</math>", "latex": " - ", "id": "6a2d39eea4ff1322559cc1afb8171bb1" }, { "name": "bad intent arg names", "mathML": "<math display='block'>\r\n <mrow>\r\n <mn>1.234</mn>\r\n <mo>+</mo>\r\n <mi>x</mi>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mn>1.234</mn>\r\n <mo>+</mo>\r\n <mi>x</mi>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='sum($1.234,$:x:)'>\r\n <mn arg='1.234'>1.234</mn>\r\n <mo>+</mo>\r\n <mi arg=':x:'>x</mi>\r\n </mrow>\r\n</math>", "latex": " - ", "id": "2cd5988f19d5c8b2a81e6430f07706c5" }, { "name": "multiple identifiers", "mathML": "<math display='block'>\r\n <mi>x</mi>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mi>x</mi>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mi intent='one two'>x</mi>\r\n</math>", "latex": " - ", "id": "1e0c633b76e9a128d2b6f36f9daa4a97" }, { "name": "bad number", "mathML": "<math display='block'>\r\n <mn>12</mn>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mn>12</mn>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mn intent='1.2e1'>12</mn>\r\n</math>", "latex": " - ", "id": "b07028f8b3ae58a97256a8fd2f155955" }, { "name": "bad intent subexpression", "mathML": "<math display='block'>\r\n <mover>\r\n <mi>X</mi>\r\n <mo>‾</mo>\r\n </mover>\r\n <mo>+</mo>\r\n <mover>\r\n <mi>Y</mi>\r\n <mo>‾</mo>\r\n </mover>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mover>\r\n <mi>X</mi>\r\n <mo>‾</mo>\r\n </mover>\r\n <mo>+</mo>\r\n <mover>\r\n <mi>Y</mi>\r\n <mo>‾</mo>\r\n </mover>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mover intent='mean($x('>\r\n <mi arg='x'>X</mi>\r\n <mo>‾</mo>\r\n </mover>\r\n <mo>+</mo>\r\n <mover intent='mean($x)'>\r\n <mi arg='x'>Y</mi>\r\n <mo>‾</mo>\r\n </mover>\r\n</math>", "latex": " - ", "id": "61548e17b2ce0e75fb1a9561a78fb1ea" }, { "name": "Free text just say this", "mathML": "<math display='block'>\r\n <mi>x</mi>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mi>x</mi>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mi intent='just say this'>x</mi>\r\n</math>", "latex": "x", "id": "a5c7258818eeb3d4b1a0894eaae79731" }, { "name": "Free text with argref", "mathML": "<math display='block'>\r\n <mrow>\r\n <mi>x</mi>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mi>x</mi>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow intent='just say this about $x'>\r\n <mi arg='x'>x</mi>\r\n </mrow>\r\n</math>", "latex": "x", "id": "5061d310d6113d9e83d296469b8b8518" }, { "name": "intent 🐇", "mathML": "<math display='block'>\r\n <mrow>\r\n <mo>🐇</mo>\r\n <mi>X</mi>\r\n </mrow>\r\n </math>", "mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>🐇</mo>\r\n <mi>X</mi>\r\n </mrow>\r\n</math>", "mathML_explicit": "<math display='block'>\r\n <mrow>\r\n <mo intent='🐇'>🐇</mo>\r\n <mi>X</mi>\r\n </mrow>\r\n</math>", "latex": "🐇 X", "id": "2756c5ae3e9e284d3369e4818c818553" } ]