notes/mathjax_newcommands.js

   1 MathJax.Hub.Config({
   2     TeX: {
   3         Macros: {
   4
   5                 //    Abs: ['\\left\\lvert #2 \\right\\rvert_{\\text{#1}}', 2, ""] // optional arg. example
   6                 //    from https://stackoverflow.com/questions/24628668/how-to-define-custom-macros-in-mathjax
   7             vect: ["{\\mathbf{#1}}",1],
   8             abs: ["{\\left|{#1}\\right|}",1],
   9             ud: "{\\mathrm{d}}",
  10             pr: ["{\\left({#1}\\right)}", 1], // parentheses to save typing
  11             uvec: ["{\\mathbf{\\hat{#1}}}", 1],
  12
  13             vsh: "{\\mathbf{A}}", // vector spherical harmonic, general
  14             vshD: "\\mathbf{A}^\\dagger", // dual vector spherical harmonic, general
  15             vshrad: "{\\mathbf{A}_3}", // vector spherical harmonic radial, general
  16             vshrot: "{\\mathbf{A}_1}", // vector spherical harmonic "rotational", general
  17             vshgrad: "{\\mathbf{A}_2}", // vector spherical harmonic "gradiental", general
  18             vshradD: "{\\mathbf{A}_3}^\\dagger}", // dual vector spherical harmonic radial, general
  19             vshrotD: "{\\mathbf{A}_1^\\dagger}", // dual vector spherical harmonic "rotational", general
  20             vshgradD: "{\\mathbf{A}_2^\\dagger}", // dual vector spherical harmonic "gradiental", general
  21             wfe: "{\\mathbf{N}}", // Electric wave general
  22             wfm: "{\\mathbf{M}}", // Magnetic wave general
  23             sphbes: "{z}", // General spherical Bessel fun
  24             rawLeg: ["{\\mathfrak{P}_{#1}^{#2}}", 2], // "Canonical" associated Legendre polynomial without C.S. phase
  25             rawFer: ["\\rawLeg{#1}{#2}", 2], // "Canonical" associated Legendre polynomial without C.S. phase
  26             dlmfLeg: ["{P_{#1}^{#2}}", 2], // Associated Legendre function as in DLMF (14.3.6)
  27             dlmfFer: ["{\\mathsf{P}_{#1}^{#2}}", 2], // Ferrers Function as in DLMF (14.3.1)
  28             dlmfYc: ["{Y_{{#1},{#2}}}", 2], // Complex spherical harmonics as in DLMF (14.30.1)
  29             dlmfYrUnnorm: ["{Y_{#1}^{#2}}", 2], // Real spherical harmonics as in DLMF (14.30.2)
  30             Fer: ["{{P_{\\mathrm{#1}}}_{#2}^{#3}}", 3, ""], // Legendre / Ferrers function
  31             spharm: ["{{Y_{\\mathrm{#1}}}_{#2}^{#3}}", 3, ""], // Spherical harmonics
  32             spharmR: ["{{Y_{\\mathrm{#1}}}_{\\mathrm{#1}{#2}{#3}}", 4, ""], // Spherical harmonics
  33             csphase: "\\mathsf{C_{CS}}", // Condon-Shortley phase
  34             tropSrr: ["{{S^\\mathrm{#1}}\\pr{{#2} \\leftarrow {#3}}}", 3, ""], // Translation operator singular
  35             tropRrr: ["{{R^\\mathrm{#1}}\\pr{{#2} \\leftarrow {#3}}}", 3, ""], // Translation operator regular
  36
  37             // Kristensson's VSWFs, complex version (2014 notes)
  38             wfkc: "{\\vect{y}}", // any wave
  39             wfkcreg: "{\\vect{v}}", // regular wave
  40             wfkcout: "{\\vect{u}}", // outgoing wave
  41             wckcreg: "{a}", // regular wave coeff
  42             wckcout: "{f}", // outgoing wave coeff
  43
  44             // Kristensson's VSWFs, real version (2014 book)
  45             wfkr: "{\\vect{y}_{\\mathrm{r}}}", // any wave
  46             wfkrreg: "{\\vect{v}_{\\mathrm{r}}}", // regular wave
  47             wfkrout: "{\\vect{u}_{\\mathrm{r}}}", // outgoing wave
  48             wckrreg: "{a}", // regular wave coeff
  49             wckrout: "{f}", // outgoing wave coeff
  50
  51             // Taylor's VSWFs
  52             wfmt: "{\\widetilde{\\vect{M}}}",
  53             wfet: "{\\widetilde{\\vect{N}}}",
  54             wfmtreg: "{\\widetilde{\\vect{M}}^{(1)}}", // regular magnetic wave
  55             wfetreg: "{\\widetilde{\\vect{N}}^{(1)}}", // regular electric wave
  56             wfmtout: "{\\widetilde{\\vect{M}}^{(3)}}", // outgoing magnetic wave
  57             wfetout: "{\\widetilde{\\vect{N}}^{(3)}}", // outgoing electric wave
  58             wcmtreg: "{q}", // regular magnetic wave coeff
  59             wcetreg: "{p}", // regular electric wave coeff
  60             wcmtout: "{b}", // outgoing magnetic wave coeff
  61             wcetout: "{a}", // outgoing electric wave coeff
  62
  63             // Reid's VSWFs
  64             wfr: "\\mathbf{\\mathcal{W}}",
  65             wfrreg: "\\mathbf{\\mathcal{W}}^{\\mathrm{reg}}", // regular wave
  66             wfrout: "\\mathbf{\\mathcal{W}}^{\\mathrm{out}}", // outgoing wave
  67             wcrreg: "C^\\mathrm{inc}", // regular wave coeff
  68             wcrout: "C^\\mathrm{scat}", // outgoing wave coeff
  69         }
  70     }
  71 });
  72