front end - Questions about InlineCell vs InlineFormula vs DisplayFormula cells

I'm having trouble with typesetting, and can't get these questions straight in my head.

What is the difference between "InlineCell" and "InlineFormula" style?

Is one a subset of the other?

In what situations should I use each?

And why is InlineCell important enough to have default shortcut (Ctrl + 9) but InlineFormula is not?

Does "InlineFormula" have anything to do with an "DisplayFormula" cell?

Answer

I don't have much experience with writting books or articles in Mathematica so let me just add technicall notes. For use cases I'd search around using those styles as keywords:

4

Ctrl+9 starts an Inline cell which is not the same thing as an "InlineCell". But one step at a time.

So an Inline cell is special as it is a cell inside a cell (notice that you can't just create it between cells with Crtl+9). And now an "InlineCell" is a style that is used for that area automatically after it is created. (more info in Order/Dependency of Styles in a Stylesheet by John Fultz)

Notice also that "InlineCell" style is not even explicitly present in Cell[] expression whereas for custom setting e.g. DefaultNewInlineCellStyle -> {"InlineFormula"}, the "InlineFormula" will be there. So the former style is really a core stuff.

1; 2; 3

As you can see from definition in Core.nb it is not so much about styling but about behavior/experience:

Cell[StyleData["InlineCell"],
 ShowCodeAssist->False,
 CodeAssistOptions->{"DynamicHighlighting"->False},
 TextAlignment->Left,

 TranslationOptions->{"Enabled"->False},
 LanguageCategory->"Formula",
 ScriptLevel->1,
 StyleMenuListing->None
]

so is the case with "InlineFormula" (from Default.nb):

Cell[StyleData["InlineFormula"],
 StripStyleOnPaste->True,
 HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"},

 LanguageCategory->"Formula",
 ScriptLevel->1,
 SingleLetterItalics->True,
 MenuSortingValue->1650,
 FontSize->Inherited 1.05
]

but here that SingleLetterItalics and enlarged FontSize suggest it is meant for... formulas, in mathematical sense probably.

So you can compare those options and set DefaultNewInlineCellStyle whatever you like. You can set also other styles or modify those, whatever fit your needs.

Comments

plotting - Plot 4D data with color as 4th dimension

I have a list of 4D data (x position, y position, amplitude, wavelength). I want to plot x, y, and amplitude on a 3D plot and have the color of the points correspond to the wavelength. I have seen many examples using functions to define color but my wavelength cannot be expressed by an analytic function. Is there a simple way to do this? Answer Here a another possible way to visualize 4D data: data = Flatten[Table[{x, y, x^2 + y^2, Sin[x - y]}, {x, -Pi, Pi,Pi/10}, {y,-Pi,Pi, Pi/10}], 1]; You can use the function Point along with VertexColors . Now the points are places using the first three elements and the color is determined by the fourth. In this case I used Hue, but you can use whatever you prefer. Graphics3D[ Point[data[[All, 1 ;; 3]], VertexColors -> Hue /@ data[[All, 4]]], Axes -> True, BoxRatios -> {1, 1, 1/GoldenRatio}]

plotting - Filling between two spheres in SphericalPlot3D

Manipulate[ SphericalPlot3D[{1, 2 - n}, {θ, 0, Pi}, {ϕ, 0, 1.5 Pi}, Mesh -> None, PlotPoints -> 15, PlotRange -> {-2.2, 2.2}], {n, 0, 1}] I cant' seem to be able to make a filling between two spheres. I've already tried the obvious Filling -> {1 -> {2}} but Mathematica doesn't seem to like that option. Is there any easy way around this or ... Answer There is no built-in filling in SphericalPlot3D . One option is to use ParametricPlot3D to draw the surfaces between the two shells: Manipulate[ Show[SphericalPlot3D[{1, 2 - n}, {θ, 0, Pi}, {ϕ, 0, 1.5 Pi}, PlotPoints -> 15, PlotRange -> {-2.2, 2.2}], ParametricPlot3D[{ r {Sin[t] Cos[1.5 Pi], Sin[t] Sin[1.5 Pi], Cos[t]}, r {Sin[t] Cos[0 Pi], Sin[t] Sin[0 Pi], Cos[t]}}, {r, 1, 2 - n}, {t, 0, Pi}, PlotStyle -> Yellow, Mesh -> {2, 15}]], {n, 0, 1}]

plotting - Mathematica: 3D plot based on combined 2D graphs

I have several sigmoidal fits to 3 different datasets, with mean fit predictions plus the 95% confidence limits (not symmetrical around the mean) and the actual data. I would now like to show these different 2D plots projected in 3D as in but then using proper perspective. In the link here they give some solutions to combine the plots using isometric perspective, but I would like to use proper 3 point perspective. Any thoughts? Also any way to show the mean points per time point for each series plus or minus the standard error on the mean would be cool too, either using points+vertical bars, or using spheres plus tubes. Below are some test data and the fit function I am using. Note that I am working on a logit(proportion) scale and that the final vertical scale is Log10(percentage). (* some test data *) data = Table[Null, {i, 4}]; data[[1]] = {{1, -5.8}, {2, -5.4}, {3, -0.8}, {4, -0.2}, {5, 4.6}, {1, -6.4}, {2, -5.6}, {3, -0.7}, {4, 0.04}, {5, 1.0}, {1, -6.8}, {2, -4.7}, {3, -1....

Blog

Search This Blog