MHB Communication in mathematics and physics

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Effective communication in mathematics and physics is crucial for successful academic writing. Many contributors recommend Paul Halmos's article "How to Write Mathematics" as a valuable resource for improving writing skills. The discussion highlights the importance of investing time in the writing process to enhance clarity and impact, with some participants noting that thorough preparation can lead to better responses from peers. Experiences shared include varying lengths of time spent on problem-solving and manuscript preparation, emphasizing that dedication to the write-up process often pays off. Overall, the consensus is that clear communication significantly contributes to the success of academic papers in hard sciences.
Joppy
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I suspect many here are published within their fields.
  1. What is your general advice for writing academic papers in mathematics, physics or any other "hard" science discipline?
  2. Were there any resources that helped you?
  3. What have you found to be the most successful aspects of your approach to communication?
  4. Do you feel it has been worth committing large amounts of time to the write-up process? Or could you have achieved the same responses for much less.
  5. What is the longest amount of time you've spent working on a problem, and how long did it take you to prepare a manuscript for publication?
## Resource list
 
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Joppy said:
I suspect many here are published within their fields.
  1. What is your general advice for writing academic papers in mathematics, physics or any other "hard" science discipline?
  2. Were there any resources that helped you?
Start with Paul Halmos's famous article on How to write mathematics.
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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