To italicise or not to italicise

Italics are used widely in mathematics and science; it’s how variables are typeset. However, it turns out that italics are often used where they shouldn’t be. I’m sure most scientists could happily live their lives without ever learning about the following examples of incorrect uses of italics. But as all scientists should know: minor details matter.

Two-letter variables

Between the English and Greek alphabet, science quickly runs out of letters to use for variables. Consequently, two-letter variables arise. Dimensionless numbers in fluid mechanics are a good example (these usually come from someone’s name). To avoid interpreting these numbers as the multiplication of two variables, they should be typeset upright. For example:

Dimensionless number Correct Incorrect
Reynolds number Re Re
Froude number Fr Fr
Richardson number Ri Ri
Nusselt number Nu Nu

This rule really comes into play when two-letter variables are strung together with other variables.

dimensionless_numbers
Picking out the two dimensionless numbers in the expression is easier when they’re typeset in upright font (right-hand example)

Subscript and superscript labels

Subscript and superscript labels are handy for making variables unambiguous. But make sure you typeset them properly, i.e., upright. This is especially important when using LaTeX, as otherwise it will assume your subscript label is composed of individual variables and consequently add too much space. The results can be significantly different.

K_eff
Put the extra effort in to correctly add subscript labels in LaTeX

Subscripts and superscripts should only be italicised if they are a variable such as i in xi where i = 1, 2, 3, …

Derivatives

The d’s in derivatives are operators and therefore should be upright, not italics:

derivatives

Technically speaking, the d’s in the left hand expression are in italics, implying they are variables. Therefore, they would cancel, leaving y/x.

Further reading

More details and examples can be found here

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Author: hugke729

PhD student in physical oceanography

1 thought on “To italicise or not to italicise”

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