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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.

27 votes
2 answers
8k views

Software for symbolic matrix calculus?

Is it possible to get widely available math software (Maple/Matlab/Mathematica, etc) to symbolically differentiate vector and scalar functions of matrices, returning the result in terms of the origina …
R Hahn's user avatar
  • 2,791
21 votes

Unconventional examples of mathematical modelling

Economics offers many examples of simple models for various systems not based on physical principles. One nice example is Hotelling's line model, which gives rise to Hotelling's "law". It considers tw …
10 votes

Essays and thoughts on mathematics

I Want to be a Mathematician, by Paul Halmos.
5 votes

Essays and thoughts on mathematics

Enigmas of Chance, by Mark Kac.
6 votes

Non-rigorous reasoning in rigorous mathematics

In mathematical statistics people often have experience about some method that works well in practice even though it "shouldn't" in all generality. The game is then to ask what conditions need to be …
32 votes
5 answers
2k views

You pass X people and Y people pass you: how relatively fast are you?

This question occurs to me every time I go jogging. I suspect every runner probabilist in the world must have thought of it (though I'm no probabilist), but I could not specifically find it online. I …
R Hahn's user avatar
  • 2,791