Being concise

• In order to => To
• Made use of => used
• The wonderful results are shown in Fig. 1. => Fig. 1 shows the wonderful results.

• This is an example of a sentence, which should not have a ", which" clause in it.
  Instead it should be written as follows. This is an example of a sentence that is written properly.
• Punctuate equations, even displayed ones, as if they are part of the sentence, because they are!
  Usually equations have a comma or a period at the end.
• Avoid starting a sentence with an equation.
• Use a comma after "i.e." or "e.g." usually, e.g., in this example.

• For more writing tips, refer to my LaTeX tips technical report.