Challenge Math Challenge - September 2021

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The September 2021 Math Challenge covers a range of advanced topics including the Gamma function, combinatorics, stochastic processes, and topological groups. Key problems discussed include the properties of a function defined on positive reals leading to the Gamma function, and the relationship between independent random variables and their probabilities. Solutions were provided for various mathematical proofs, including those related to semisimple modules and the continuity of group operations in topological groups. Participants engaged in clarifying definitions and discussing the nuances of mathematical notation, particularly regarding logarithmic functions. The thread showcases collaborative problem-solving and deep mathematical exploration.
  • #101
It helped that I solved problem #7 first. I thought problem #7 was a bit easy, but now I realize it was setting you up to solve problem #8.
 
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