I want to be a good scientist and science is a social endeavour. Crisp communication
is essential. Learning to write well, like everything else, is a process. Here
are some resources I often go back to.
Chekhov's gun is a dramatic principle that states that every element in a story must be necessary, and irrelevant elements should be removed.
While, I am not sure I would agree with this principle for drama (for which it
was originally emphasized), I think this is the principle for any formal
communication, including mathematical and other scientific writing [a].
I was not happy with some of the sentence structures in a paper I wrote recently.
I am deliberately noting these rules here for a quick reference whenever I write
long-form public texts. My kb will be exempt, to allow faster
writing for now. This is a summary from the excellent book by William Strunk Jr.,
The Elements of Style.
[Rule 1] Always use 's (appostrophe s) to form singular possessive nouns. Some ancient
proper nouns ending in -es or -is are an exception but the sentence can be
restructured to sound better.
Moses' laws can be rewritten as the law of Moses.
[Rule 2] With a series of comma-separated terms, no need for the last one.
supervised, unsupervised, and reinforcement learning.
[Rule 3] Parenthetic expressions can be enclosed in commas. These must, however, be used
sparingly. Often, one can compromise on succinctness and break such phrases
into multiple independent statements.
Linear regression, one of the most popular methods, is an example of supervised learning.
[Rule 4] In some sentences, connectors and or but do not explicitly define the relation between
connected clauses. Instead, the sentences can be structured better using explicit
relational qualifiers like although, while, etc.
Linear regression is a regression method, but logistic regression is a classification method v/s
While linear regression is a regression method, logistic regression is a classification method.
[Rule 5] A single compound sentence composed of complete clauses can be connected
using a semi-colon ";" instead of a full stop; this is helpful to disambiguate
pronouns like this, they, it, etc. Alternatively, we can fall back to using
commas as usual with proper relational qualifiers.
[Rule 9] A paragraph should either denote a single unit in a composition or
signal a new development of the subject from the previous paragraph. Single
sentence paragraphs should be used sparingly, only as a connecting thread between
the predecessor and successor.
[Rule 10] Within a paragraph, the first sentence can be the topic sentence,
and the final sentence can emphasize a consequence of the discussion. Although,
violating this thumb rule often breaks the monotony for the reader.
[Rule 11] Use active voice to enforce directness.
[Rule 12] Use positive statements; limit the use of not qualifiers.
[Rule 13] Omit needless words.
She is the one who should be replaced by She.
[Rule 15] Express co-ordinate ideas in similar form. Correlative expressions
should be followed by the same grammatical construction.
the Bayesians and frequentists should be the Bayesians and the frequentists
[Rule 16] Keep related words together. Parenthetic clauses can
be transferred to the beginning of a sentence to avoid reading interruptions.
[Rule 18] The proper place for emphatic words, which the writer desires to make
most prominent, is towards the end of a sentence.
Neural networks have hardly advanced our understanding of the human brain, though
they are behind many breakthroughs in computer vision. v/s
Neural networks are behind many breakthroughs in computer vision, but they have
hardly advanced our understanding of the human brain.
[a] Of course, we often beat about the bush to fill those 8 pages.↩