Suppose one writes a scientific paper from Math or a related field. Should mathematical symbols be followed by nouns describing them? Should f, x, Ω, P(A) and ß be preceded by function, variable, set, probability and angle?

A rule, which I know, says that a symbol shouldn't start a sentence. Is it also wrong if it is inside a sentence? Does the same apply to the labels like Equation (2)? Is it correct to say After solving (2) we get that x=2? Or should I use Equation (2)?

I guess it's fine to omit a descriptional noun before a variable inside a logical relation like an equation, but is the same true for free variables?

Example 2: For every event in Ω or For every event in the set Ω?
Example 3: The same is true for y and z or The same is true for variables y and z?

Is there a rule of thumb about grammar? Like function f instead of a function f?

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    There's no shame in reading other papers (not all of the same author) and see how other people are writing. This way you should get a feel on how your field handles these things. – infinitezero Apr 13 at 0:38
  • If I've made it clear once (or twice) that X is a set, I don't feel obligated to repeat "set" every time I mention X. – Andreas Blass Apr 13 at 2:02
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    Avoid ambiguity, write for clarity. – Solar Mike Apr 13 at 5:07
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    I agree with @AndreasBlass, with one exception: I never begin a sentence with a mathematical symbol. Also, "Equation (2) implies x=2." – JeffE Apr 13 at 14:17
  • Yes, I write 'for every x in the set \Omega...' too. The primary reason is to help remind the reader what \Omega is. – Prof. Santa Claus Apr 13 at 21:52

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