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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:
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
A reflective essay is an analytical piece of writing in which the writer describes a real or imaginary scene, event, interaction, passing thought, memory, or form—adding a personal reflection on the meaning of the topic in the author's life. Thus, the focus is not merely descriptive.
The English-language titles of compositions (books and other print works, songs and other audio works, films and other visual media works, paintings and other artworks, etc.) are given in title case, in which every word is given an initial capital except for certain less important words (as detailed at Wikipedia:Manual of Style/Capital letters ...
When the meaning depends on the syntax, a symbol may have different entries depending on the syntax. For summarizing the syntax in the entry name, the symbol {\displaystyle \Box } is used for representing the neighboring parts of a formula that contains the symbol.
In applied fields the word "tight" is often used with the same meaning. [2] smooth Smoothness is a concept which mathematics has endowed with many meanings, from simple differentiability to infinite differentiability to analyticity, and still others which are more complicated. Each such usage attempts to invoke the physically intuitive notion ...
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In 1980 assessment of school writing was being conducted in at least 24 states, the large majority by writing samples rated holistically. [51] In post-secondary education, more and more colleges and universities were using holistic scoring for advance credit, placement into first-year writing courses, exit from writing courses, and ...