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There are several issues of writing style that are particularly relevant in mathematical writing. In the interest of clarity, sentences should not begin with a symbol. Do not write: Suppose that G is a group. G can be decomposed into cosets, as follows. Let H be the corresponding subgroup of G. H is then finite. Instead, write something like:
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.
Glosses that translate or define unfamiliar terms take single quotes; simple glosses require no comma before the definition (Turkic qazaq 'freebooter' is the root of Cossack; republic comes from Latin res publica, loosely meaning 'public affair'.). The {} template can be used for this; e.g. {{lang|es|casa}} {{gloss|house}} yields: casa ' house '.
Definition There should be an exact definition, in mathematical terms; often in a Definition(s) section, for example: Let S and T be topological spaces, and let f be a function from S to T. Then f is called continuous if, for every open set O in T, the preimage f −1 (O) is an open set in S. Examples
definition: is defined as metalanguage:= means "from now on, is defined to be another name for ." This is a statement in the metalanguage, not the object language. The notation may occasionally be seen in physics, meaning the same as :=.
The font used in the TeX rendering is an italic style. This is in line with the convention that variables should be italicized. As Greek letters are more often than not used as variables in mathematical formulas, a Greek letter appearing similar to the TeX rendering is more likely to be encountered in works involving mathematics.
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Introduction to the Manual of Style – a quick introduction to the style guide for articles. Simplified Manual of Style – the basics about commonly used style guidelines. Styletips – a list of advice for editors on writing style and formatting. Manual of Style reading schedule – an essay. Related essays