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The feature that makes LaTeX the right editing tool for scientific documents is the ability to render complex mathematical expressions. This article explains the basic commands to display equations.

Basic equations in LaTeX can be easily 'programmed', for example:

As you see, the way the equations are displayed depends on the delimiter, in this case [ ] and ( ).

LaTeX allows two writing modes for mathematical expressions: the inline mode and the display mode. The first one is used to write formulas that are part of a text. The second one is used to write expressions that are not part of a text or paragraph, and are therefore put on separate lines.

Let's see an example of the inline mode:


To put your equations in inline mode use one of these delimiters: ( ), $ $ or begin{math} end{math}. They all work and the choice is a matter of taste.

The displayed mode has two versions: numbered and unnumbered.


To print your equations in display mode use one of these delimiters: [ ], begin{displaymath} end{displaymath} or begin{equation} end{equation}

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Important Note: equation* environment is provided by an external package, consult the amsmath article.

Below is a table with some common maths symbols. For a more complete list see the List of Greek letters and math symbols:

Latex Poker PackageLatex
descriptioncodeexamples
Greek lettersalpha beta gamma rho sigma delta epsilon$$ alpha beta gamma rho sigma delta epsilon $$
Binary operatorstimes otimes oplus cup cap×{displaystyle times }⊗{displaystyle otimes }⊕{displaystyle oplus }∪{displaystyle cup }∩{displaystyle cap }
Relation operators< > subset supset subseteq supseteq<>⊂⊃⊆⊇{displaystyle < >subset supset subseteq supseteq }
Othersint oint sum prod∫∮∑∏{displaystyle int oint sum prod }

Different classes of mathematical symbols are characterized by different formatting (for example, variables are italicized, but operators are not) and different spacing.

The mathematics mode in LaTeX is very flexible and powerful, there is much more that can be done with it:

Overleaf guides

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Mathematics

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It’s important to write good and clear documentation, butusers don’t often read it; at best they’ll look at the examples, so besure to include informative examples. In my experience, what usersreally want are instructive tutorials demonstrating practical usesof the software with discussion of the interpretation of theresults. In R packages, such tutorials are called “vignettes.”

Package

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The technical aspect of including a vignette with your R package issimple. (The only hard part is the actual writing.) You can writeyour vignette in LaTeX (withSweave orknitr), but it’s far easier to useR Markdown (withknitr).

Markdown is a lightmark-up language that’s much like what you’d write in an email, using_underscores_ or **asterisks** for emphasis and soforth. R Markdown is an extension ofMarkdown to include chunks of R code. An R Markdown document (with a.Rmd extension) is compiled (with knitr) to a Markdown document(replacing R code with its results, e.g. graphics), which is thenconverted to an HTML document, to be viewed in a web browser. For moreon knitr and Markdown, see myknitr in a knutshell tutorial.

To include an R Markdown document as a vignette in your R package, allyou need to do is:

  • Create a vignettes subdirectory.
  • Put your .Rmd file in that directory.

  • Within the YAML header at the top of the .Rmd file, include codelike the following:

  • Add the following lines to your package’s DESCRIPTION file:

  • You can build your vignette with the devtools::build_vignettes() function.The resulting .html vignette will be in the inst/doc folder.

    Alternatively, when you run R CMD build, the .html file for thevignette will be built as part of the construction of the .tar.gzfile for the package.

For examples, look at the source for packages you like, for exampledplyr.

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Now go to the page about writing tests.