MHB Communication in mathematics and physics

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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Mathematics news on Phys.org
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.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.

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