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Results tagged with soft-question
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user 9652
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.
11
votes
New grand projects in contemporary math
In numerical mathematics there is a recent new grand theme called randomized numerical linear algebra (RandNLA). One example (probably even a paradigm) is the "randomized range finder" from the paper …
16
votes
What's a great christmas present for someone with a PhD in Mathematics?
You may adopt a polyhedron in their name!
6
votes
MathSciNet vs Google Scholar
I find it a mayor drawback of Google Scholar that it also finds things which are not publications at all (e.g. sometimes it finds talks which end with a bibliography page).
Another drawback of GS is …
0
votes
Blackbox Theorems
Does FLT count?
5
votes
Mathematical difference between entropy and energy
It is probably worth mentioning that the the heat equation is inherently linked to energy and entropy in two ways:
The heat equation is the gradient flow of the energy in the Hilbert space $L^2$ (cl …
- 12.7k
19
votes
Examples of famous 'workhorse' theorems
Two workhorses of geometric measure theory are the covering theorems by Vitali and Besicovitch. When I first encoutered them they both seemed quite involved to state and their use was not obvious. Als …
39
votes
Which way for reading the proofs?
My two cents on "proof-reading": It depends what you want to do with the proof.
Do you want to understand why the result is true? Then don't read to proof but try to find counterexamples and notice …
13
votes
Math videos containing real time rough thinking
When I taught a beginners course in analysis a few years ago I wanted to give the students an impression of how one can work on exam problems. I asked somebody to prepare a test exam (I had my exam pr …
7
votes
Non-computational software useful to mathematicians
My daily life depends on rsync to synchronize everything which is not organized by subversion.
Moreover, the RefTeX package for (X)Emacs is incredibly helpful (if you are using Emacs...).
4
votes
Unconventional examples of mathematical modelling
I suggest models in the social sciences like the Krause-Hegselmann model of consensus dynamics. Also the Kuramoto model for synchronizing oscillators is nice and can be used to model other things e.g. …
3
votes
Examples of "irregularities" in mathematics, other than prime numbers
Finite simple groups.$\mbox{}\mbox{}$
(Not totally unrelated to prime numbers but more general...)
6
votes
Archiving mathematical correspondence
The book "Der Briefwechsel Richard Dedekind – Heinrich Weber" transcribes the full correspondence between the two. From the description:
This volume provides the very first transcription of correspon …
10
votes
Which math paper maximizes the ratio (importance)/(length)?
Pretty late to the party here but Kantorovich's "On the translocation of masses" from 1942 is two pages. It gave a radically new look on the Monge problem of optimal transportation and can be seen as …
5
votes
Sparse representation for continuous function?
Sure, there is a lot about this, but maybe not under that name. You can find related ideas under the name of "best $k$-term approximation", for example in Ron DeVores Acta Numerica paper "Nonlinear Ap …
- 12.7k
14
votes
Refereeing a Paper
I am not sure if this point has already be raised: If your report criticize something or votes for a revision, then give hint what the authors can do. Comments of a referee which are particularly usel …