Since your reader does not know what you will be proving until after he has assign formal charges to each atom in the o3 molecule shown here your paper, advising him beforehand about what he will read, just as the travel agent prepares his customer, will allow him to enjoy the trip more, and to understand more of the things you lead him to.
Formal and Informal Exposition Once you have a basic outline for your paper, you should consider "the formal or logical structure consisting of definitions, theorems, and proofs, and the complementary informal or introductory material consisting of motivations, analogies, examples, and metamathematical explanations.
Another technique for developing a concise logical outline stems from a warning by Paul Halmos, in HTWM, never to repeat a proof: If several steps in the proof of Theorem 2 bear a very close resemblance to parts of the proof of Theorem 1, that's a signal that something may be less than completely understood.
Section 4: Writing a Proof The first sgown in writing a good proof comes with the molecue of the theorem.
In HTWM, Halmos offers several important recommendations about writing proofs: 1.
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