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Check for the following:
The first sentence of every paragraph summarizes the entire paragraph, every later sentence in the paragraph supports that first sentence.
Every paragraph should contain more than one sentence, and see above.
Learn when to use which and that, and about the comma before which.
Learn rules of hyphenation. When two words together form an adjective, hyphenate them. For example, "One should not write a one-sentence paragraph."
Avoid extreme words like always, never, and instead quantify the rarity of exceptions where it makes sense.
Do not use the word "likelihood" in replace of the word "probability." A likelihood is a specific thing.
Avoid the word random and instead be more specific. So for example, instead of "I chose random directions" it would be "I chose directions uniformly distributed in cos(theta_z) between -1 and 1."
When you include a numbered equation, the text around it should be worded so that the equation is part of a sentence. Often that involves using a colon before an equation. Check that in the line that follows, there is not an indent created by having an extra line in Latex.
Be sure to refer to and describe every figure and table in the text. Refer to them in the first sentence of a paragraph wherever possible and make it the topic of a paragraph.
Use Fig., Tab., Sec., Eq.
For the right spacing between a number an units, do 100\,MHz.
Don't italicize units.
Don't start a sentence with a variable.
Do not italicize subscripts or superscripts that are a word or part of a word, such as, do x_{\rm{meas}}, not x_{meas}.
If you are including any figure that you did not make yourself, cite it, or acknowledge the person that made it.
If you are presenting work that you collaborated with someone else on, acknowledge what work was done by others and state your role.
Avoid adverbs. Remove it or quantify instead.
This is one place where you can put all of the details of what you did, down to where future students can find your code and the names of the functions. Make ample use of appendices.
You can lift material from a published paper that you wrote or co-wrote as long as you explain that is what it is. See Chapter 2 of Brian Clark's thesis for example.
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