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Results tagged with soft-question
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user 37555
Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.
31
votes
Mistakes in mathematics, false illusions about conjectures
The simplicial homology of a simplicial complex is not a function of the complex, but of the complex together with a simplicial decomposition. The Hauptvermutung ("main conjecture") stated that simpli …
10
votes
Can anything deep be said uniformly about conjectures like Goldbach's?
There exist surprising counterexamples. Elsholtz and Dietmann found the following: If $p\equiv 7\pmod{8}$ is prime, then the equation $x^2+y^2+z^4=p^2$ has no non-trivial solution. You might argue tha …
5
votes
Demystifying complex numbers
From the point of view of enginieers, the most obvious application of complex numbers is computing alternating currents.
Consider first direct current. If you have a network of resistors, and want to …
2
votes
Old books you would like to have reprinted with high-quality typesetting
Topics in multiplicative number theory by H.L. Montgomery. It is not out of print, but a version in LaTeX quality would be a significant improvement.