[ { "name": "decimal comma", "mathML": "\n 1,234\r\n +\r\n 1,234\r\n ", "mathML_default": "\r\n 1,234\r\n +\r\n 1,234\r\n", "mathML_explicit": "\r\n 1,234\r\n +\r\n 1,234\r\n", "latex": "1,234+1{,}234", "id": "017edc9e4583c9b0fd2ee3169c126446" }, { "name": "grouping comma", "mathML": "\r\n 1,234\r\n ;\r\n 1,234\r\n ;\r\n 1,234,000\r\n ", "mathML_default": "\r\n 1,234\r\n ;\r\n 1,234\r\n ;\r\n 1,234,000\r\n", "mathML_explicit": "\r\n 1,234\r\n ;\r\n 1,234\r\n ;\r\n 1,234,000\r\n", "latex": "1,234; 1,234; 1,234,000", "id": "db40da704aa8d8c5c9b2a5d07c1e3b85" }, { "name": "mn -3", "mathML": "\r\n −3\r\n ", "mathML_default": "\r\n −3\r\n", "mathML_explicit": "\r\n −3\r\n", "latex": "-3", "id": "683ba0a3b399a6196311c3ade0827964" }, { "name": "mrow mo -3", "mathML": "\r\n \r\n −\r\n 3\r\n \r\n ", "mathML_default": "\r\n \r\n −\r\n 3\r\n \r\n", "mathML_explicit": "\r\n \r\n −\r\n 3\r\n \r\n", "latex": "-3", "id": "602a20326c8bb860f1f368368ccaacab" }, { "name": "squared", "mathML": "\r\n \r\n x\r\n 2\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n 2\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n 2\r\n \r\n", "latex": "x^2", "id": "2907599147d0a81ecd2e18411188ffda" }, { "name": "cubed", "mathML": "\r\n \r\n x\r\n 3\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n 3\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n 3\r\n \r\n", "latex": "x^3", "id": "adfc266fea5eee8d882487a3c469d23d" }, { "name": "2nd Cohomology", "mathML": "\r\n \r\n H\r\n 2\r\n \r\n ", "mathML_default": "\r\n \r\n H\r\n 2\r\n \r\n", "mathML_explicit": "\r\n \r\n H\r\n 2\r\n \r\n", "latex": "\\mathrm{H}^2", "id": "e6ce43e9b0b6830ba38e7b9ccc26dd4b" }, { "name": "R 2", "mathML": "\r\n \r\n ℝ\r\n 2\r\n \r\n ", "mathML_default": "\r\n \r\n ℝ\r\n 2\r\n \r\n", "mathML_explicit": "\r\n \r\n ℝ\r\n 2\r\n \r\n", "latex": "\\mathbb{R}^2", "id": "1048532acb9cbb0f36557eeb3923da3b" }, { "name": "x to nth", "mathML": "\r\n \r\n x\r\n n\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n n\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n n\r\n \r\n", "latex": "x^n", "id": "9d0c7001d7d17c1787d876b94f0e0c5c" }, { "name": "dagger", "mathML": "\r\n \r\n x\r\n †\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n †\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n †\r\n \r\n", "latex": "x^\\dagger", "id": "bf4860ed94f13787fe5a13567c9b924d" }, { "name": "x transpose", "mathML": "\r\n \r\n x\r\n T\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n T\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n T\r\n \r\n", "latex": "x^{\\mathrm{T}}", "id": "f69c0d6dc093dc36c9269a6561038bb5" }, { "name": "x transpose pre-sup", "mathML": "\r\n \r\n x\r\n \r\n \r\n T\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n \r\n \r\n T\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n \r\n \r\n T\r\n \r\n", "latex": "{}^{\\mathrm{T}}x", "id": "ede527b5e0f611c91277a93e11476a02" }, { "name": "x sub transpose", "mathML": "\r\n \r\n x\r\n \r\n i\r\n j\r\n \r\n T\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n \r\n i\r\n j\r\n \r\n T\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n \r\n i\r\n j\r\n \r\n T\r\n \r\n", "latex": "x_{ij}^{\\mathrm{T}}", "id": "6f08481aad490542112793a2f05fc507" }, { "name": "ordinal 4th", "mathML": "\r\n \r\n 4\r\n th\r\n \r\n ", "mathML_default": "\r\n \r\n 4\r\n th\r\n \r\n", "mathML_explicit": "\r\n \r\n 4\r\n th\r\n \r\n", "latex": "4{\\mathrm{th}", "id": "13e8ce1d50a50fb0cf729ecc396e462e" }, { "name": "formal power series", "mathML": "\r\n \r\n A\r\n =\r\n \r\n ∑\r\n \r\n n\r\n =\r\n 0\r\n \r\n ∞\r\n \r\n \r\n a\r\n n\r\n \r\n \r\n X\r\n n\r\n \r\n ∈\r\n \r\n R\r\n ⟦\r\n X\r\n ⟧\r\n \r\n \r\n ", "mathML_default": "\r\n \r\n A\r\n =\r\n \r\n ∑\r\n \r\n n\r\n =\r\n 0\r\n \r\n ∞\r\n \r\n \r\n a\r\n n\r\n \r\n \r\n X\r\n n\r\n \r\n ∈\r\n \r\n R\r\n ⟦\r\n X\r\n ⟧\r\n \r\n \r\n", "mathML_explicit": "\r\n \r\n A\r\n =\r\n \r\n ∑\r\n \r\n n\r\n =\r\n 0\r\n \r\n ∞\r\n \r\n \r\n a\r\n n\r\n \r\n \r\n X\r\n n\r\n \r\n ∈\r\n \r\n R\r\n ⟦\r\n X\r\n ⟧\r\n \r\n \r\n", "latex": "A=\\sum_0^\\infty a_n X^n \\in R\\lBrack X \\rBrack", "id": "24d51362b56f6123ce1c1c5a8872ceba" }, { "name": "sin squared plus cos squared", "mathML": "\r\n \r\n \r\n sin\r\n 2\r\n \r\n ⁡\r\n 𝜃\r\n \r\n +\r\n \r\n \r\n cos\r\n 2\r\n \r\n ⁡\r\n 𝜃\r\n \r\n =\r\n 1\r\n ", "mathML_default": "\r\n \r\n \r\n sin\r\n 2\r\n \r\n ⁡\r\n 𝜃\r\n \r\n +\r\n \r\n \r\n cos\r\n 2\r\n \r\n ⁡\r\n 𝜃\r\n \r\n =\r\n 1\r\n", "mathML_explicit": "\r\n \r\n \r\n sin\r\n 2\r\n \r\n ⁡\r\n 𝜃\r\n \r\n +\r\n \r\n \r\n cos\r\n 2\r\n \r\n ⁡\r\n 𝜃\r\n \r\n =\r\n 1\r\n", "latex": "\\sin^2\\theta + \\cos^2\\theta=1", "id": "152f0c6492f7e179a08bcebe6c63ddca" }, { "name": "binom n k", "mathML": "\r\n \r\n (\r\n \r\n n\r\n k\r\n \r\n )\r\n \r\n ", "mathML_default": "\r\n \r\n (\r\n \r\n n\r\n k\r\n \r\n )\r\n \r\n", "mathML_explicit": "\r\n \r\n (\r\n \r\n n\r\n k\r\n \r\n )\r\n \r\n", "latex": "\\binom{n}{k}", "id": "e527352e28a43e6583fbbaa4418e50d1" }, { "name": " binom sup n C sub k", "mathML": "\r\n \r\n C\r\n k\r\n \r\n \r\n \r\n n\r\n \r\n ", "mathML_default": "\r\n \r\n C\r\n k\r\n \r\n \r\n \r\n n\r\n \r\n", "mathML_explicit": "\r\n \r\n C\r\n k\r\n \r\n \r\n \r\n n\r\n \r\n", "latex": "{}^n C_k", "id": "66ed419d09924ec6e86b6fa6192a5ac5" }, { "name": " binom C sup n sub k", "mathML": "\r\n \r\n C\r\n k\r\n n\r\n \r\n ", "mathML_default": "\r\n \r\n C\r\n k\r\n n\r\n \r\n", "mathML_explicit": "\r\n \r\n C\r\n k\r\n n\r\n \r\n", "latex": "C^n_k", "id": "89001a40638a748b95e5885b771d9a57" }, { "name": " binom C n k", "mathML": "\r\n \r\n C\r\n (\r\n n\r\n ,\r\n k\r\n )\r\n \r\n ", "mathML_default": "\r\n \r\n C\r\n (\r\n n\r\n ,\r\n k\r\n )\r\n \r\n", "mathML_explicit": "\r\n \r\n C\r\n (\r\n n\r\n ,\r\n k\r\n )\r\n \r\n", "latex": "C(n,k)", "id": "64545c92aa1c6e86dd7e9d8781d51443" }, { "name": " permutations sup n P sub k", "mathML": "\r\n \r\n P\r\n k\r\n \r\n \r\n \r\n n\r\n \r\n ", "mathML_default": "\r\n \r\n P\r\n k\r\n \r\n \r\n \r\n n\r\n \r\n", "mathML_explicit": "\r\n \r\n P\r\n k\r\n \r\n \r\n \r\n n\r\n \r\n", "latex": "{}^n P_k", "id": "479195ddf56ff4c6f095b8999439eae0" }, { "name": " permutations P sup n sub k", "mathML": "\r\n \r\n P\r\n k\r\n n\r\n \r\n ", "mathML_default": "\r\n \r\n P\r\n k\r\n n\r\n \r\n", "mathML_explicit": "\r\n \r\n P\r\n k\r\n n\r\n \r\n", "latex": "P^n_k", "id": "700e9e1c59044c764b0d3b6fcaff446d" }, { "name": " permutations P n k", "mathML": "\r\n \r\n P\r\n (\r\n n\r\n ,\r\n k\r\n )\r\n \r\n ", "mathML_default": "\r\n \r\n P\r\n (\r\n n\r\n ,\r\n k\r\n )\r\n \r\n", "mathML_explicit": "\r\n \r\n P\r\n (\r\n n\r\n ,\r\n k\r\n )\r\n \r\n", "latex": "P(n,k)", "id": "293789944389185c3b756bef34978108" }, { "name": "subset", "mathML": "\r\n \r\n x\r\n ⊂\r\n y\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n ⊂\r\n y\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n ⊂\r\n y\r\n \r\n", "latex": "x \\subset y", "id": "a3c7ec1076255080060573e304ad19fa" }, { "name": " parallel ", "mathML": "\r\n \r\n x\r\n ‖\r\n y\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n ‖\r\n y\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n ‖\r\n y\r\n \r\n", "latex": "x \\parallel y", "id": "28cc9ebf3685b177e68ed192a529baad" }, { "name": "Ackerman or A", "mathML": "\r\n \r\n A\r\n ⁡\r\n \r\n (\r\n n\r\n ,\r\n m\r\n )\r\n \r\n \r\n ", "mathML_default": "\r\n \r\n A\r\n ⁡\r\n \r\n (\r\n n\r\n ,\r\n m\r\n )\r\n \r\n \r\n", "mathML_explicit": "\r\n \r\n A\r\n ⁡\r\n \r\n (\r\n n\r\n ,\r\n m\r\n )\r\n \r\n \r\n", "latex": "A(m,n)", "id": "e1c0d92825fe91e6496ba18632787fc7" }, { "name": "low (g∘h)′(x)", "mathML": "\r\n \r\n \r\n \r\n (\r\n g\r\n ∘\r\n h\r\n )\r\n \r\n ′\r\n \r\n (\r\n x\r\n )\r\n \r\n ", "mathML_default": "\r\n \r\n \r\n \r\n (\r\n g\r\n ∘\r\n h\r\n )\r\n \r\n ′\r\n \r\n (\r\n x\r\n )\r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n \r\n (\r\n g\r\n ∘\r\n h\r\n )\r\n \r\n ′\r\n \r\n (\r\n x\r\n )\r\n \r\n", "latex": "(g∘h)′(x)", "id": "fb69a6813c7d5db626fe030aa4a285d0" }, { "name": "high (g∘h)′(x)", "mathML": "\r\n \r\n (\r\n g\r\n ∘\r\n h\r\n )\r\n ′\r\n (\r\n x\r\n )\r\n \r\n ", "mathML_default": "\r\n \r\n (\r\n g\r\n ∘\r\n h\r\n )\r\n ′\r\n (\r\n x\r\n )\r\n \r\n", "mathML_explicit": "\r\n \r\n (\r\n g\r\n ∘\r\n h\r\n )\r\n ′\r\n (\r\n x\r\n )\r\n \r\n", "latex": "(g∘h)′(x)", "id": "dcfe1db97432ea0244c32bf4052e12f7" }, { "name": "apply (g∘h)′(x)", "mathML": "\r\n \r\n \r\n \r\n (\r\n g\r\n ∘\r\n h\r\n )\r\n \r\n ′\r\n \r\n (\r\n x\r\n )\r\n \r\n ", "mathML_default": "\r\n \r\n \r\n \r\n (\r\n g\r\n ∘\r\n h\r\n )\r\n \r\n ′\r\n \r\n (\r\n x\r\n )\r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n \r\n (\r\n g\r\n ∘\r\n h\r\n )\r\n \r\n ′\r\n \r\n (\r\n x\r\n )\r\n \r\n", "latex": "(g∘h)′(x)", "id": "99c071dbf49e1ca438434dc4b82aac35" }, { "name": "leaf (g∘h)′(x)", "mathML": "\r\n \r\n \r\n \r\n (\r\n g\r\n ∘\r\n h\r\n )\r\n \r\n ′\r\n \r\n ⁡\r\n (\r\n x\r\n )\r\n \r\n ", "mathML_default": "\r\n \r\n \r\n \r\n (\r\n g\r\n ∘\r\n h\r\n )\r\n \r\n ′\r\n \r\n ⁡\r\n (\r\n x\r\n )\r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n \r\n (\r\n g\r\n ∘\r\n h\r\n )\r\n \r\n ′\r\n \r\n ⁡ \r\n (\r\n x\r\n )\r\n \r\n", "latex": "(g∘h)′(x)", "id": "c3e77c30ccf21d4eaec512ba6db42579" }, { "name": "hof convex conjugate", "mathML": "\r\n \r\n \r\n f\r\n *\r\n \r\n ⁡\r\n \r\n (\r\n p\r\n )\r\n \r\n \r\n ", "mathML_default": "\r\n \r\n \r\n f\r\n *\r\n \r\n ⁡\r\n \r\n (\r\n p\r\n )\r\n \r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n f\r\n *\r\n \r\n ⁡\r\n \r\n (\r\n p\r\n )\r\n \r\n \r\n", "latex": "f^*(p)", "id": "fb3f57e2f442a3674fda7159a3b92229" }, { "name": "intent on prefix mo", "mathML": "\r\n \r\n 🐇\r\n X\r\n \r\n ", "mathML_default": "\r\n \r\n 🐇\r\n X\r\n \r\n", "mathML_explicit": "\r\n \r\n 🐇\r\n X\r\n \r\n", "latex": "🐇 X", "id": "a44c0d69dd03eec9ca3b2ad816893e9d" }, { "name": "intent on mrow of prefix mo", "mathML": "\r\n \r\n 🐇\r\n X\r\n \r\n ", "mathML_default": "\r\n \r\n 🐇\r\n X\r\n \r\n", "mathML_explicit": "\r\n \r\n 🐇\r\n X\r\n \r\n", "latex": "🐇 X", "id": "000ef44ac98c1bf35301c50ef7580af7" }, { "name": "vectimes hints", "mathML": "\r\n \r\n x\r\n ⨯\r\n y\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n ⨯\r\n y\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n ⨯\r\n y\r\n \r\n", "latex": "x \\vectimes y", "id": "0fc48295fd811e6b1488687b21c650f2" }, { "name": "x foo/boxplus y", "mathML": "\r\n \r\n x\r\n ⊞\r\n y\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n ⊞\r\n y\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n ⊞\r\n y\r\n \r\n", "latex": "x \\boxplus y", "id": "847441a4fb59f830796a988837647e4c" }, { "name": "vert x abs", "mathML": "\r\n \r\n |\r\n x\r\n |\r\n \r\n ", "mathML_default": "\r\n \r\n |\r\n x\r\n |\r\n \r\n", "mathML_explicit": "\r\n \r\n |\r\n x\r\n |\r\n \r\n", "latex": "\\lvert x\\rvert", "id": "6cb782e8d1dc1ff1670af488b5f565f1" }, { "name": "l2 norm x", "mathML": "\r\n \r\n \r\n |\r\n x\r\n |\r\n \r\n 2\r\n \r\n ", "mathML_default": "\r\n \r\n \r\n |\r\n x\r\n |\r\n \r\n 2\r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n |\r\n x\r\n |\r\n \r\n 2\r\n \r\n", "latex": "\\lvert x\\rvert_2", "id": "7e6435549105d86d5843fd7daa24ac07" }, { "name": "vert M determinant", "mathML": "\r\n \r\n |\r\n M\r\n |\r\n \r\n ", "mathML_default": "\r\n \r\n |\r\n M\r\n |\r\n \r\n", "mathML_explicit": "\r\n \r\n |\r\n M\r\n |\r\n \r\n", "latex": "\\lvert M\\rvert", "id": "46be8bdf7945165451836ec6f9ae82ab" }, { "name": "vert abcd determinant", "mathML": "\r\n \r\n |\r\n \r\n \r\n a\r\n b\r\n \r\n \r\n c\r\n d\r\n \r\n \r\n |\r\n \r\n ", "mathML_default": "\r\n \r\n |\r\n \r\n \r\n a\r\n b\r\n \r\n \r\n c\r\n d\r\n \r\n \r\n |\r\n \r\n", "mathML_explicit": "\r\n \r\n |\r\n \r\n \r\n a\r\n b\r\n \r\n \r\n c\r\n d\r\n \r\n \r\n |\r\n \r\n", "latex": "\\begin{vmatrix}a&b\\\\c&d\\end{vmatrix}", "id": "06dfe7acbde9b5efd540d5b311ece76f" }, { "name": "Vert x magnitude", "mathML": "\r\n \r\n ‖\r\n x\r\n ‖\r\n \r\n ", "mathML_default": "\r\n \r\n ‖\r\n x\r\n ‖\r\n \r\n", "mathML_explicit": "\r\n \r\n ‖\r\n x\r\n ‖\r\n \r\n", "latex": "\\lVert x\\rVert", "id": "92513434f7bc7fe4c9ae0c82c88c96e1" }, { "name": "open-open inverted bracket", "mathML": "\r\n \r\n ]\r\n x\r\n ,\r\n y\r\n [\r\n \r\n ", "mathML_default": "\r\n \r\n ]\r\n x\r\n ,\r\n y\r\n [\r\n \r\n", "mathML_explicit": "\r\n \r\n ]\r\n x\r\n ,\r\n y\r\n [\r\n \r\n", "latex": "\\mathopen] x,y\\mathclose[\\rVert", "id": "b14792603f091e1cf28e3dd132815f4a" }, { "name": "open-open", "mathML": "\r\n \r\n (\r\n x\r\n ,\r\n y\r\n )\r\n \r\n ", "mathML_default": "\r\n \r\n (\r\n x\r\n ,\r\n y\r\n )\r\n \r\n", "mathML_explicit": "\r\n \r\n (\r\n x\r\n ,\r\n y\r\n )\r\n \r\n", "latex": "(x,y)", "id": "27bfe4359a3cb1b137874cb6f177f82d" }, { "name": "open-closed", "mathML": "\r\n \r\n (\r\n x\r\n ,\r\n y\r\n ]\r\n \r\n ", "mathML_default": "\r\n \r\n (\r\n x\r\n ,\r\n y\r\n ]\r\n \r\n", "mathML_explicit": "\r\n \r\n (\r\n x\r\n ,\r\n y\r\n ]\r\n \r\n", "latex": "(x,y]", "id": "c0f15cfea235dae42494b5a6136b03e3" }, { "name": "closed-open", "mathML": "\r\n \r\n [\r\n x\r\n ,\r\n y\r\n )\r\n \r\n ", "mathML_default": "\r\n \r\n [\r\n x\r\n ,\r\n y\r\n )\r\n \r\n", "mathML_explicit": "\r\n \r\n [\r\n x\r\n ,\r\n y\r\n )\r\n \r\n", "latex": "[x,y)", "id": "89c82842a6c245fbe4771146a19b0583" }, { "name": "closed-closed", "mathML": "\r\n \r\n [\r\n x\r\n ,\r\n y\r\n ]\r\n \r\n ", "mathML_default": "\r\n \r\n [\r\n x\r\n ,\r\n y\r\n ]\r\n \r\n", "mathML_explicit": "\r\n \r\n [\r\n x\r\n ,\r\n y\r\n ]\r\n \r\n", "latex": "[x,y]", "id": "f857e87ac030876a5f7afe6d29adc52c" }, { "name": "cycle thin space", "mathML": "\r\n \r\n (\r\n x\r\n  \r\n y\r\n  \r\n c\r\n  \r\n d\r\n )\r\n \r\n ", "mathML_default": "\r\n \r\n (\r\n x\r\n  \r\n y\r\n  \r\n c\r\n  \r\n d\r\n )\r\n \r\n", "mathML_explicit": "\r\n \r\n (\r\n x\r\n  \r\n y\r\n  \r\n c\r\n  \r\n d\r\n )\r\n \r\n", "latex": "(a\\,b\\,c\\,d)", "id": "d0a5d6a1ff64a1c04fe4646297736087" }, { "name": "bmatrix", "mathML": "\r\n \r\n [\r\n \r\n \r\n a\r\n b\r\n \r\n \r\n x\r\n y\r\n \r\n \r\n ]\r\n \r\n ", "mathML_default": "\r\n \r\n [\r\n \r\n \r\n a\r\n b\r\n \r\n \r\n x\r\n y\r\n \r\n \r\n ]\r\n \r\n", "mathML_explicit": "\r\n \r\n [\r\n \r\n \r\n a\r\n b\r\n \r\n \r\n x\r\n y\r\n \r\n \r\n ]\r\n \r\n", "latex": "\\begin{bmatrix} a&b\\\\ x&y \\end{bmatrix}", "id": "40b8ecf2d091af0e003b076d2eed9a39" }, { "name": "pmatrix", "mathML": "\r\n \r\n (\r\n \r\n \r\n a\r\n b\r\n \r\n \r\n x\r\n y\r\n \r\n \r\n )\r\n \r\n ", "mathML_default": "\r\n \r\n (\r\n \r\n \r\n a\r\n b\r\n \r\n \r\n x\r\n y\r\n \r\n \r\n )\r\n \r\n", "mathML_explicit": "\r\n \r\n (\r\n \r\n \r\n a\r\n b\r\n \r\n \r\n x\r\n y\r\n \r\n \r\n )\r\n \r\n", "latex": "\\begin{pmatrix} a&b\\\\ x&y \\end{pmatrix}", "id": "b0326ed98970ae5b4d13976dda3bd0b5" }, { "name": "braced system of equations", "mathML": "\r\n \r\n {\r\n \r\n \r\n \r\n x\r\n +\r\n y\r\n \r\n =\r\n 2\r\n \r\n \r\n \r\n x\r\n −\r\n y\r\n \r\n =\r\n 0\r\n \r\n \r\n \r\n ", "mathML_default": "\r\n \r\n {\r\n \r\n \r\n \r\n x\r\n +\r\n y\r\n \r\n =\r\n 2\r\n \r\n \r\n \r\n x\r\n −\r\n y\r\n \r\n =\r\n 0\r\n \r\n \r\n \r\n", "mathML_explicit": "\r\n \r\n {\r\n \r\n \r\n \r\n x\r\n +\r\n y\r\n \r\n =\r\n 2\r\n \r\n \r\n \r\n x\r\n −\r\n y\r\n \r\n =\r\n 0\r\n \r\n \r\n \r\n", "latex": "\\left\\{\\begin{aligned} x+y &= 2 \\\\ x-y &=0 \\end{aligned}\\right.", "id": "7aa03d6dec1bce2ead484a65161df1cd" }, { "name": "align 1", "mathML": "\r\n \r\n \r\n \r\n 2\r\n ⁢\r\n x\r\n \r\n \r\n =\r\n \r\n \r\n 1\r\n \r\n \r\n \r\n \r\n y\r\n \r\n \r\n >\r\n \r\n \r\n x\r\n −\r\n 3\r\n \r\n \r\n \r\n ", "mathML_default": "\r\n \r\n \r\n \r\n 2\r\n ⁢\r\n x\r\n \r\n \r\n =\r\n \r\n \r\n 1\r\n \r\n \r\n \r\n \r\n y\r\n \r\n \r\n >\r\n \r\n \r\n x\r\n −\r\n 3\r\n \r\n \r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n \r\n 2\r\n ⁢\r\n x\r\n \r\n \r\n =\r\n \r\n \r\n 1\r\n \r\n \r\n \r\n \r\n y\r\n \r\n \r\n >\r\n \r\n \r\n x\r\n −\r\n 3\r\n \r\n \r\n \r\n", "latex": "\\begin{align}...", "id": "8b12da51c6b5482c95bb54ccdc5605fc" }, { "name": " alignment with wrapped line", "mathML": "\r\n \r\n \r\n \r\n a\r\n \r\n \r\n =\r\n \r\n \r\n b\r\n +\r\n c\r\n −\r\n d\r\n \r\n \r\n \r\n \r\n \r\n \r\n +\r\n e\r\n −\r\n f\r\n \r\n \r\n \r\n ", "mathML_default": "\r\n \r\n \r\n \r\n a\r\n \r\n \r\n =\r\n \r\n \r\n b\r\n +\r\n c\r\n −\r\n d\r\n \r\n \r\n \r\n \r\n \r\n \r\n +\r\n e\r\n −\r\n f\r\n \r\n \r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n \r\n a\r\n \r\n \r\n =\r\n \r\n \r\n \r\n b\r\n +\r\n c\r\n −\r\n d\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n +\r\n e\r\n −\r\n f\r\n \r\n \r\n \r\n", "latex": "\\begin{aligned}... wrapped", "id": "3a54aa6dad9db715c87af045bfd5fcde" }, { "name": "aligned derivation", "mathML": "\r\n \r\n \r\n \r\n \r\n \r\n \r\n (a+b)\r\n \r\n 2\r\n \r\n \r\n \r\n =\r\n \r\n \r\n a2\r\n +\r\n \r\n 2\r\n ⁢\r\n a\r\n ⁢\r\n b\r\n \r\n +\r\n b2\r\n \r\n \r\n \r\n \r\n \r\n ⩽\r\n \r\n \r\n \r\n 2\r\n ⁢\r\n a\r\n ⁢\r\n b\r\n \r\n +\r\n b2\r\n \r\n \r\n \r\n \r\n \r\n =\r\n \r\n \r\n b\r\n ⁢\r\n \r\n (\r\n 2\r\n ⁢\r\n a\r\n +\r\n b\r\n )\r\n \r\n \r\n \r\n \r\n \r\n ", "mathML_default": "\r\n \r\n \r\n \r\n \r\n \r\n \r\n (a+b)\r\n \r\n 2\r\n \r\n \r\n \r\n =\r\n \r\n \r\n a2\r\n +\r\n \r\n 2\r\n ⁢\r\n a\r\n ⁢\r\n b\r\n \r\n +\r\n b2\r\n \r\n \r\n \r\n \r\n \r\n ⩽\r\n \r\n \r\n \r\n 2\r\n ⁢\r\n a\r\n ⁢\r\n b\r\n \r\n +\r\n b2\r\n \r\n \r\n \r\n \r\n \r\n =\r\n \r\n \r\n b\r\n ⁢\r\n \r\n (\r\n 2\r\n ⁢\r\n a\r\n +\r\n b\r\n )\r\n \r\n \r\n \r\n \r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n \r\n \r\n \r\n \r\n (a+b)\r\n \r\n 2\r\n \r\n \r\n \r\n =\r\n \r\n \r\n a2\r\n +\r\n \r\n 2\r\n ⁢\r\n a\r\n ⁢\r\n b\r\n \r\n +\r\n b2\r\n \r\n \r\n \r\n \r\n \r\n ⩽\r\n \r\n \r\n \r\n 2\r\n ⁢\r\n a\r\n ⁢\r\n b\r\n \r\n +\r\n b2\r\n \r\n \r\n \r\n \r\n \r\n =\r\n \r\n \r\n b\r\n ⁢\r\n \r\n (\r\n 2\r\n ⁢\r\n a\r\n +\r\n b\r\n )\r\n \r\n \r\n \r\n \r\n \r\n", "latex": "\\begin{align}...", "id": "6f65c4b23ee07e2568a04a53b30c795f" }, { "name": "dot x", "mathML": "\r\n \r\n x\r\n ˙\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n ˙\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n ˙\r\n \r\n", "latex": "\\dot{x}", "id": "c25f1dbedb5de810c420d5fd07dcfd86" }, { "name": "ddot x", "mathML": "\r\n \r\n x\r\n ¨\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n ¨\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n ¨\r\n \r\n", "latex": "\\ddot{x}", "id": "450e30edd13ef3fa12569bf48dfa30be" }, { "name": "dx by dt", "mathML": "\r\n \r\n dx\r\n dt\r\n \r\n ", "mathML_default": "\r\n \r\n dx\r\n dt\r\n \r\n", "mathML_explicit": "\r\n \r\n dx\r\n dt\r\n \r\n", "latex": "\\frac{dx}{dt}", "id": "54afe7628ceac40ee391f52e48b2bac8" }, { "name": "d by dt f of t", "mathML": "\r\n \r\n \r\n d\r\n dt\r\n \r\n \r\n f\r\n ⁡\r\n (\r\n t\r\n )\r\n \r\n \r\n ", "mathML_default": "\r\n \r\n \r\n d\r\n dt\r\n \r\n \r\n f\r\n ⁡\r\n (\r\n t\r\n )\r\n \r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n d\r\n dt\r\n \r\n \r\n f\r\n ⁡\r\n (\r\n t\r\n )\r\n \r\n \r\n", "latex": "\\frac{d}{dt}f(t)", "id": "165432696535dbe9f054fd44b9bd6309" }, { "name": "dx2 by dt2", "mathML": "\r\n \r\n \r\n \r\n d2\r\n \r\n x\r\n \r\n \r\n d\r\n \r\n t\r\n 2\r\n \r\n \r\n \r\n ", "mathML_default": "\r\n \r\n \r\n \r\n d2\r\n \r\n x\r\n \r\n \r\n d\r\n \r\n t\r\n 2\r\n \r\n \r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n \r\n d2\r\n \r\n x\r\n \r\n \r\n d\r\n \r\n t\r\n 2\r\n \r\n \r\n \r\n", "latex": "\\frac{d^2x}{dt^2}", "id": "c0bd9c7ca999bd5978e605557ce21b51" }, { "name": "partial df by dx dy", "mathML": "\r\n \r\n \r\n \r\n ∂2\r\n \r\n f\r\n \r\n \r\n \r\n ∂\r\n x\r\n \r\n \r\n ∂\r\n y\r\n \r\n \r\n \r\n ", "mathML_default": "\r\n \r\n \r\n \r\n ∂2\r\n \r\n f\r\n \r\n \r\n \r\n ∂\r\n x\r\n \r\n \r\n ∂\r\n y\r\n \r\n \r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n \r\n ∂2\r\n \r\n f\r\n \r\n \r\n \r\n ∂\r\n x\r\n \r\n \r\n ∂\r\n y\r\n \r\n \r\n \r\n", "latex": "\\frac{\\partial^2 f}{\\partial x \\partial y}", "id": "0aad0e564c4ec2de1122900012952f11" }, { "name": "int f(x) dx", "mathML": "\r\n ∫\r\n \r\n f\r\n ⁡\r\n (\r\n x\r\n )\r\n \r\n \r\n d\r\n x\r\n \r\n ", "mathML_default": "\r\n ∫\r\n \r\n f\r\n ⁡\r\n (\r\n x\r\n )\r\n \r\n \r\n d\r\n x\r\n \r\n", "mathML_explicit": "\r\n ∫\r\n \r\n f\r\n ⁡\r\n (\r\n x\r\n )\r\n \r\n \r\n d\r\n x\r\n \r\n", "latex": "\\int f(x) dx", "id": "b8f7ff33d564efef25b990dd2a6ee6b7" }, { "name": "defint 0 to 1 x squared", "mathML": "\r\n \r\n \r\n ∫\r\n 0\r\n 1\r\n \r\n x2\r\n d\r\n x\r\n \r\n ", "mathML_default": "\r\n \r\n \r\n ∫\r\n 0\r\n 1\r\n \r\n x2\r\n d\r\n x\r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n ∫\r\n 0\r\n 1\r\n \r\n x2\r\n d\r\n x\r\n \r\n", "latex": "\\int_0^1 x^2 dx", "id": "301d3c2e7eac784da0300a8b36c1b2a9" }, { "name": "evaluate 2x at 1 and 0 bracket", "mathML": "\r\n \r\n [\r\n 2\r\n ⁢\r\n x\r\n \r\n ]\r\n 0\r\n 1\r\n \r\n \r\n ", "mathML_default": "\r\n \r\n [\r\n 2\r\n ⁢\r\n x\r\n \r\n ]\r\n 0\r\n 1\r\n \r\n \r\n", "mathML_explicit": "\r\n \r\n [\r\n 2\r\n ⁢\r\n x\r\n \r\n ]\r\n 0\r\n 1\r\n \r\n \r\n", "latex": "[2x]_0^1", "id": "c9e745d476ab9bfc8e2d4f044179afb7" }, { "name": "evaluate 2x at 1 and 0 bracket expression in base ", "mathML": "\r\n \r\n \r\n [\r\n 2\r\n ⁢\r\n x\r\n ]\r\n \r\n 0\r\n 1\r\n \r\n ", "mathML_default": "\r\n \r\n \r\n [\r\n 2\r\n ⁢\r\n x\r\n ]\r\n \r\n 0\r\n 1\r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n [\r\n 2\r\n ⁢\r\n x\r\n ]\r\n \r\n 0\r\n 1\r\n \r\n", "latex": "[2x]_0^1", "id": "43692ab32dcbb00415649ba18d231c32" }, { "name": "evaluate 2x at 1 and 0 vertical bar", "mathML": "\r\n \r\n 2\r\n ⁢\r\n x\r\n \r\n |\r\n 0\r\n 1\r\n \r\n \r\n ", "mathML_default": "\r\n \r\n 2\r\n ⁢\r\n x\r\n \r\n |\r\n 0\r\n 1\r\n \r\n \r\n", "mathML_explicit": "\r\n \r\n 2\r\n ⁢\r\n x\r\n \r\n |\r\n 0\r\n 1\r\n \r\n \r\n", "latex": "2x|_0^1", "id": "0c63769fb597b4cbd7924e9cba937ca3" }, { "name": "evaluate 2x at 1 and 0 vertical bar expression in base", "mathML": "\r\n \r\n \r\n 2\r\n ⁢\r\n x\r\n |\r\n \r\n 0\r\n 1\r\n \r\n ", "mathML_default": "\r\n \r\n \r\n 2\r\n ⁢\r\n x\r\n |\r\n \r\n 0\r\n 1\r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n 2\r\n ⁢\r\n x\r\n |\r\n \r\n 0\r\n 1\r\n \r\n", "latex": "2x|_0^1", "id": "074437988ce3e238298e9b105d6ecfbe" }, { "name": "oint 1 over z dz", "mathML": "\r\n \r\n ∮\r\n C\r\n \r\n \r\n 1\r\n z\r\n \r\n \r\n d\r\n z\r\n \r\n ", "mathML_default": "\r\n \r\n ∮\r\n C\r\n \r\n \r\n 1\r\n z\r\n \r\n \r\n d\r\n z\r\n \r\n", "mathML_explicit": "\r\n \r\n ∮\r\n C\r\n \r\n \r\n 1\r\n z\r\n \r\n \r\n d\r\n z\r\n \r\n", "latex": "\\oint \\frac{1}{z} dz", "id": "8dbb651bc0d2382993192f6310305db9" }, { "name": " NFC v dot and w dot", "mathML": "\r\n \r\n \r\n \r\n v\r\n ˙\r\n \r\n **\r\n 2\r\n \r\n +\r\n \r\n \r\n w\r\n ˙\r\n \r\n **\r\n 2\r\n \r\n \r\n ", "mathML_default": "\r\n \r\n \r\n \r\n v\r\n ˙\r\n \r\n **\r\n 2\r\n \r\n +\r\n \r\n \r\n w\r\n ˙\r\n \r\n **\r\n 2\r\n \r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n \r\n v\r\n ˙\r\n \r\n **\r\n 2\r\n \r\n +\r\n \r\n \r\n w\r\n ˙\r\n \r\n **\r\n 2\r\n \r\n \r\n", "latex": "\\dot{v}**2+\\dot{w}**2", "id": "8a1ff742386c9d95be2bfe85af9c98b3" }, { "name": "x with string", "mathML": "\r\n x\r\n ", "mathML_default": "\r\n x\r\n", "mathML_explicit": "\r\n x\r\n", "latex": "x", "id": "c91d1449db85d1186fcce402dbfae26b" }, { "name": "a plus b factorial unary plus intent", "mathML": "\r\n \r\n a\r\n +\r\n b\r\n !\r\n \r\n ", "mathML_default": "\r\n \r\n a\r\n +\r\n b\r\n !\r\n \r\n", "mathML_explicit": "\r\n \r\n a\r\n +\r\n b\r\n !\r\n \r\n", "latex": "a+b!", "id": "6b99f97897a5b53ddce315859d526f45" }, { "name": "Properties on argref", "mathML": "\r\n \r\n a\r\n +\r\n b\r\n \r\n ", "mathML_default": "\r\n \r\n a\r\n +\r\n b\r\n \r\n", "mathML_explicit": "\r\n \r\n a\r\n +\r\n b\r\n \r\n", "latex": "a+b", "id": "5b3972811b305dc6b5d742bd7e5e0288" }, { "name": "free r-algebra on x", "mathML": "\r\n \r\n R\r\n ⟨\r\n X\r\n ⟩\r\n \r\n ", "mathML_default": "\r\n \r\n R\r\n ⟨\r\n X\r\n ⟩\r\n \r\n", "mathML_explicit": "\r\n \r\n R\r\n ⟨\r\n X\r\n ⟩\r\n \r\n", "latex": "R\\langle X\\rangle", "id": "dc9d1a5f6cdc19647066e7237b22c2d2" }, { "name": "x plus 2 times the absolute-value of y minus z", "mathML": "\r\n \r\n x\r\n +\r\n 2\r\n |\r\n y\r\n -\r\n z\r\n |\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n +\r\n 2\r\n |\r\n y\r\n -\r\n z\r\n |\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n +\r\n 2\r\n |\r\n y\r\n -\r\n z\r\n |\r\n \r\n", "latex": "x+2\\lvert y-z\\rvert", "id": "8f3e17276b76efbac0ac1e647b220eb1" }, { "name": "NCR x28 and x24", "mathML": "\r\n \r\n log\r\n X\r\n \r\n ", "mathML_default": "\r\n \r\n log\r\n X\r\n \r\n", "mathML_explicit": "\r\n \r\n", "latex": "\\log x", "id": "b8b11e21469bd78e360b91de46fc7c4c" }, { "name": "nested html b", "mathML": "\r\n x\r\n +\r\n a bold word\r\n ", "mathML_default": "\r\n x\r\n +\r\n a bold word\r\n", "mathML_explicit": "\r\n x\r\n +\r\n a bold word\r\n", "latex": "x+\\text{a \\textbf{bold} word", "id": "099561ee187976f9a2786b9f2f343664" }, { "name": "H20", "mathML": "\r\n \r\n \r\n H\r\n 2\r\n \r\n \r\n O\r\n \r\n ", "mathML_default": "\r\n \r\n \r\n H\r\n 2\r\n \r\n \r\n O\r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n H\r\n 2\r\n \r\n \r\n O\r\n \r\n", "latex": "\\ce{H20}", "id": "eafded0189cc86f7e73ddbb61fb80645" }, { "name": "2 H2O → 2 H2 + O", "mathML": "\r\n \r\n \r\n 2\r\n ⁢\r\n \r\n \r\n H\r\n 2\r\n \r\n \r\n ⁣\r\n O\r\n \r\n \r\n ⟶\r\n \r\n \r\n 2\r\n ⁢\r\n \r\n H\r\n 2\r\n \r\n \r\n \r\n +\r\n \r\n O\r\n 2\r\n \r\n \r\n \r\n \r\n ", "mathML_default": "\r\n \r\n \r\n 2\r\n ⁢\r\n \r\n \r\n H\r\n 2\r\n \r\n \r\n ⁣\r\n O\r\n \r\n \r\n ⟶\r\n \r\n \r\n 2\r\n ⁢\r\n \r\n H\r\n 2\r\n \r\n \r\n \r\n +\r\n \r\n O\r\n 2\r\n \r\n \r\n \r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n 2\r\n ⁢\r\n \r\n \r\n H\r\n 2\r\n \r\n \r\n ⁣\r\n O\r\n \r\n \r\n ⟶\r\n \r\n \r\n 2\r\n ⁢\r\n \r\n H\r\n 2\r\n \r\n \r\n \r\n +\r\n \r\n O\r\n 2\r\n \r\n \r\n \r\n \r\n", "latex": "\\ce{2 H2O → 2 H2 + O2}", "id": "aa6dda9e5698b378c6c6ae6e945f7d2d" }, { "name": "0-ary divides", "mathML": "\r\n \r\n x\r\n y\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n y\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n y\r\n \r\n", "latex": " - ", "id": "6d0253b60611a4d376e6ac673a58c157" }, { "name": "1-ary divides", "mathML": "\r\n \r\n x\r\n y\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n y\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n y\r\n \r\n", "latex": " - ", "id": "e3e958b5e0acaf9e6bf2269b03696d99" }, { "name": "3-ary divides", "mathML": "\r\n \r\n x\r\n y\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n y\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n y\r\n \r\n", "latex": " - ", "id": "772c48cd62a4c9959232305fd0340551" }, { "name": "1-ary ray", "mathML": "\r\n \r\n X\r\n →\r\n \r\n ", "mathML_default": "\r\n \r\n X\r\n →\r\n \r\n", "mathML_explicit": "\r\n \r\n X\r\n →\r\n \r\n", "latex": " - ", "id": "c3d4d52ea59ec3b3cbece1627193d227" }, { "name": "content mathml sin x", "mathML": "\r\n \r\n \r\n x\r\n \r\n ", "mathML_default": "\r\n \r\n \r\n x\r\n \r\n", "mathML_explicit": "\r\n \r\n \r\n x\r\n \r\n", "latex": "\\sin x", "id": "7414316c7cc37d6bc58aeb42eb638ca9" }, { "name": "bad intent paren", "mathML": "\r\n \r\n x\r\n y\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n y\r\n \r\n", "mathML_explicit": "\r\n x\r\n y\r\n \r\n", "latex": " - ", "id": "75ac73906d50d6469149b617243b7228" }, { "name": "bad intent argref", "mathML": "\r\n \r\n 1.234\r\n +\r\n x\r\n \r\n ", "mathML_default": "\r\n \r\n 1.234\r\n +\r\n x\r\n \r\n", "mathML_explicit": "\r\n \r\n 1.234\r\n +\r\n x\r\n \r\n", "latex": " - ", "id": "6a2d39eea4ff1322559cc1afb8171bb1" }, { "name": "bad intent arg names", "mathML": "\r\n \r\n 1.234\r\n +\r\n x\r\n \r\n ", "mathML_default": "\r\n \r\n 1.234\r\n +\r\n x\r\n \r\n", "mathML_explicit": "\r\n \r\n 1.234\r\n +\r\n x\r\n \r\n", "latex": " - ", "id": "2cd5988f19d5c8b2a81e6430f07706c5" }, { "name": "multiple identifiers", "mathML": "\r\n x\r\n ", "mathML_default": "\r\n x\r\n", "mathML_explicit": "\r\n x\r\n", "latex": " - ", "id": "1e0c633b76e9a128d2b6f36f9daa4a97" }, { "name": "bad number", "mathML": "\r\n 12\r\n ", "mathML_default": "\r\n 12\r\n", "mathML_explicit": "\r\n 12\r\n", "latex": " - ", "id": "b07028f8b3ae58a97256a8fd2f155955" }, { "name": "bad intent subexpression", "mathML": "\r\n \r\n X\r\n ‾\r\n \r\n +\r\n \r\n Y\r\n ‾\r\n \r\n ", "mathML_default": "\r\n \r\n X\r\n ‾\r\n \r\n +\r\n \r\n Y\r\n ‾\r\n \r\n", "mathML_explicit": "\r\n \r\n X\r\n ‾\r\n \r\n +\r\n \r\n Y\r\n ‾\r\n \r\n", "latex": " - ", "id": "61548e17b2ce0e75fb1a9561a78fb1ea" }, { "name": "Free text just say this", "mathML": "\r\n x\r\n ", "mathML_default": "\r\n x\r\n", "mathML_explicit": "\r\n x\r\n", "latex": "x", "id": "a5c7258818eeb3d4b1a0894eaae79731" }, { "name": "Free text with argref", "mathML": "\r\n \r\n x\r\n \r\n ", "mathML_default": "\r\n \r\n x\r\n \r\n", "mathML_explicit": "\r\n \r\n x\r\n \r\n", "latex": "x", "id": "5061d310d6113d9e83d296469b8b8518" }, { "name": "intent 🐇", "mathML": "\r\n \r\n 🐇\r\n X\r\n \r\n ", "mathML_default": "\r\n \r\n 🐇\r\n X\r\n \r\n", "mathML_explicit": "\r\n \r\n 🐇\r\n X\r\n \r\n", "latex": "🐇 X", "id": "2756c5ae3e9e284d3369e4818c818553" } ]