UNPKG

mathmlben

Version:

Visualization for goldstandard

19 lines 4.38 kB
{ "definitions" : { "\\rho" : [ { "Q29539" : "density (mass per unit volume)" } ], "u_{i}" : [ { "Q11465" : "velocity (rate of change of the position of an object as a function of time, and the direction of that change)" } ], "t" : [ "time", { } ] }, "constraints" : [ ], "math_inputtex" : "D\\left(\\rho u_i\\right)/Dt\\approx0", "math_inputtex_semantic" : "\\frac{\\wf{}{D} (\\w{Q29539}{\\rho} \\w{Q11465}{u}_i)}{D \\w{Q11471}{t}} \\approx 0", "correct_tex" : "D\\left(\\rho u_i\\right)/Dt\\approx0", "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"\\frac{D(\\rho u_{i})}{Dt}\\approx 0\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mfrac id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2.8\" xref=\"p1.1.m1.1.1.2.7.cmml\">\n <mi id=\"p1.1.m1.1.1.2.1\" xref=\"p1.1.m1.1.1.2.1.cmml\">D</mi>\n <mo id=\"p1.1.m1.1.1.2.8a\" xref=\"p1.1.m1.1.1.2.7.cmml\">⁡</mo>\n <mrow id=\"p1.1.m1.1.1.2.8.2\" xref=\"p1.1.m1.1.1.2.7.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.2.2\" xref=\"p1.1.m1.1.1.2.7.cmml\">(</mo>\n <mrow id=\"p1.1.m1.1.1.2.8.1\" xref=\"p1.1.m1.1.1.2.8.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.3\" xref=\"p1.1.m1.1.1.2.3.cmml\">ρ</mi>\n <mo id=\"p1.1.m1.1.1.2.8.1.1\" xref=\"p1.1.m1.1.1.2.8.1.1.cmml\">⁢</mo>\n <msub id=\"p1.1.m1.1.1.2.8.1.2\" xref=\"p1.1.m1.1.1.2.8.1.2.cmml\">\n <mi id=\"p1.1.m1.1.1.2.4\" xref=\"p1.1.m1.1.1.2.4.cmml\">u</mi>\n <mi id=\"p1.1.m1.1.1.2.5.1\" xref=\"p1.1.m1.1.1.2.5.1.cmml\">i</mi>\n </msub>\n </mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.2.6\" xref=\"p1.1.m1.1.1.2.7.cmml\">)</mo>\n </mrow>\n </mrow>\n <mrow id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1\" xref=\"p1.1.m1.1.1.3.1.cmml\">D</mi>\n <mo id=\"p1.1.m1.1.1.3.3\" xref=\"p1.1.m1.1.1.3.3.cmml\">⁢</mo>\n <mi id=\"p1.1.m1.1.1.3.2\" xref=\"p1.1.m1.1.1.3.2.cmml\">t</mi>\n </mrow>\n </mfrac>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">≈</mo>\n <mn id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">0</mn>\n </mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <approx id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"/>\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <divide id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1\"/>\n <apply id=\"p1.1.m1.1.1.2.7.cmml\" xref=\"p1.1.m1.1.1.2.8\">\n <ci id=\"p1.1.m1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.1\">𝐷</ci>\n <apply id=\"p1.1.m1.1.1.2.8.1.cmml\" xref=\"p1.1.m1.1.1.2.8.1\">\n <times id=\"p1.1.m1.1.1.2.8.1.1.cmml\" xref=\"p1.1.m1.1.1.2.8.1.1\"/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.2.3.cmml\" xref=\"p1.1.m1.1.1.2.3\">Q29539</csymbol>\n <apply id=\"p1.1.m1.1.1.2.8.1.2.cmml\" xref=\"p1.1.m1.1.1.2.8.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.2.8.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.8.1.2\">subscript</csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.2.4.cmml\" xref=\"p1.1.m1.1.1.2.4\">Q11465</csymbol>\n <ci id=\"p1.1.m1.1.1.2.5.1.cmml\" xref=\"p1.1.m1.1.1.2.5.1\">𝑖</ci>\n </apply>\n </apply>\n </apply>\n <apply id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.3\">\n <times id=\"p1.1.m1.1.1.3.3.cmml\" xref=\"p1.1.m1.1.1.3.3\"/>\n <ci id=\"p1.1.m1.1.1.3.1.cmml\" xref=\"p1.1.m1.1.1.3.1\">𝐷</ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.3.2.cmml\" xref=\"p1.1.m1.1.1.3.2\">Q11471</csymbol>\n </apply>\n </apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">0</cn>\n </apply>\n </annotation-xml>\n <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">\\frac{D(\\rho u_{i})}{Dt}\\approx 0</annotation>\n </semantics>\n</math>", "uri" : "https://en.formulasearchengine.com/w/index.php?oldid=6724#math6724.5", "title" : "Darcy's_law", "type" : "equation" }