mirror of
https://gerrit.wikimedia.org/r/mediawiki/extensions/Math
synced 2024-12-21 03:42:46 +00:00
714 lines
74 KiB
JSON
714 lines
74 KiB
JSON
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[
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{
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"name": "decimal comma",
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"mathML": "<math display='block'>\n <mn>1,234</mn>\r\n <mo>+</mo>\r\n <mn>1,234</mn>\r\n </math>",
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"mathML_default": "<math display='block'>\r\n <mn>1,234</mn>\r\n <mo>+</mo>\r\n <mn>1,234</mn>\r\n</math>",
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"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>",
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"latex": "1,234+1{,}234",
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"id": "017edc9e4583c9b0fd2ee3169c126446"
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},
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{
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"name": "grouping comma",
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"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>",
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"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>",
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"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>",
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"latex": "1,234; 1,234; 1,234,000",
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"id": "db40da704aa8d8c5c9b2a5d07c1e3b85"
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},
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{
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"name": "mn -3",
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"mathML": "<math display='block'>\r\n <mn>−3</mn>\r\n </math>",
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"mathML_default": "<math display='block'>\r\n <mn>−3</mn>\r\n</math>",
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"mathML_explicit": "<math display='block'>\r\n <mn intent='-3'>−3</mn>\r\n</math>",
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"latex": "-3",
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"id": "683ba0a3b399a6196311c3ade0827964"
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},
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{
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"name": "mrow mo -3",
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"mathML": "<math display='block'>\r\n <mrow>\r\n <mo>−</mo>\r\n <mn>3</mn>\r\n </mrow>\r\n </math>",
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"mathML_default": "<math display='block'>\r\n <mrow>\r\n <mo>−</mo>\r\n <mn>3</mn>\r\n </mrow>\r\n</math>",
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"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>",
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"latex": "-3",
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"id": "602a20326c8bb860f1f368368ccaacab"
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},
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{
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"name": "squared",
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"mathML": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mn>2</mn>\r\n </msup>\r\n </math>",
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"mathML_default": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mn>2</mn>\r\n </msup>\r\n</math>",
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"mathML_explicit": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mn>2</mn>\r\n </msup>\r\n</math>",
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"latex": "x^2",
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"id": "2907599147d0a81ecd2e18411188ffda"
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},
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{
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"name": "cubed",
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"mathML": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mn>3</mn>\r\n </msup>\r\n </math>",
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"mathML_default": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mn>3</mn>\r\n </msup>\r\n</math>",
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"mathML_explicit": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mn>3</mn>\r\n </msup>\r\n</math>",
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"latex": "x^3",
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"id": "adfc266fea5eee8d882487a3c469d23d"
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},
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{
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"name": "2nd Cohomology",
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"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>",
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"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>",
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"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>",
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"latex": "\\mathrm{H}^2",
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"id": "e6ce43e9b0b6830ba38e7b9ccc26dd4b"
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},
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{
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"name": "R 2",
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"mathML": "<math display='block'>\r\n <msup>\r\n <mi>ℝ</mi>\r\n <mn>2</mn>\r\n </msup>\r\n </math>",
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"mathML_default": "<math display='block'>\r\n <msup>\r\n <mi>ℝ</mi>\r\n <mn>2</mn>\r\n </msup>\r\n</math>",
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"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>",
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"latex": "\\mathbb{R}^2",
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"id": "1048532acb9cbb0f36557eeb3923da3b"
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},
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{
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"name": "x to nth",
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"mathML": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mi>n</mi>\r\n </msup>\r\n </math>",
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"mathML_default": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mi>n</mi>\r\n </msup>\r\n</math>",
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"mathML_explicit": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mi>n</mi>\r\n </msup>\r\n</math>",
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"latex": "x^n",
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"id": "9d0c7001d7d17c1787d876b94f0e0c5c"
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},
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{
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"name": "dagger",
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"mathML": "<math display='block'>\r\n <msup>\r\n <mi>x</mi>\r\n <mo>†</mo>\r\n </msup>\r\n </math>",
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"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>",
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"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>",
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"latex": "x^\\dagger",
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"id": "bf4860ed94f13787fe5a13567c9b924d"
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},
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{
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"name": "x transpose",
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"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>",
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"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>",
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"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>",
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"latex": "x^{\\mathrm{T}}",
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"id": "f69c0d6dc093dc36c9269a6561038bb5"
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},
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{
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"name": "x transpose pre-sup",
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"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>",
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"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>",
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"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>",
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"latex": "{}^{\\mathrm{T}}x",
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"id": "ede527b5e0f611c91277a93e11476a02"
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},
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{
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"name": "x sub transpose",
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"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>",
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"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>",
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"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>",
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"latex": "x_{ij}^{\\mathrm{T}}",
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"id": "6f08481aad490542112793a2f05fc507"
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},
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{
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"name": "ordinal 4th",
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"mathML": "<math display='block'>\r\n <msup>\r\n <mn>4</mn>\r\n <mi>th</mi>\r\n </msup>\r\n </math>",
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"mathML_default": "<math display='block'>\r\n <msup>\r\n <mn>4</mn>\r\n <mi>th</mi>\r\n </msup>\r\n</math>",
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"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>",
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"latex": "4{\\mathrm{th}",
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"id": "13e8ce1d50a50fb0cf729ecc396e462e"
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},
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{
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"name": "formal power series",
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"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>",
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"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>",
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"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>",
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"latex": "A=\\sum_0^\\infty a_n X^n \\in R\\lBrack X \\rBrack",
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"id": "24d51362b56f6123ce1c1c5a8872ceba"
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},
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{
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"name": "sin squared plus cos squared",
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"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>",
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"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>",
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"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>",
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"latex": "\\sin^2\\theta + \\cos^2\\theta=1",
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"id": "152f0c6492f7e179a08bcebe6c63ddca"
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},
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{
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"name": "binom n k",
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"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>",
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"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>",
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"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>",
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"latex": "\\binom{n}{k}",
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"id": "e527352e28a43e6583fbbaa4418e50d1"
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},
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{
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"name": " binom sup n C sub k",
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"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>",
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"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>",
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"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>",
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"latex": "{}^n C_k",
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"id": "66ed419d09924ec6e86b6fa6192a5ac5"
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},
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{
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"name": " binom C sup n sub k",
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"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>",
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"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>",
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"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>",
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"latex": "C^n_k",
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"id": "89001a40638a748b95e5885b771d9a57"
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},
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{
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"name": " binom C n k",
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"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"
|
|||
|
|
}
|
|||
|
|
]
|