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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.
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 …
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 …
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.
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 …