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Results tagged with soft-question
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user 5712
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.
3
votes
Interesting mathematical documentaries
Eugene B. Dynkin Collection of Mathematics Interviews
2
votes
Interesting mathematical documentaries
Genius and villains: Kolmogorov (Russian)
4
votes
Interesting mathematical documentaries
"With striking images, some mathematical humor, a little drama, and a nice puzzle, this is again a very charming movie from director Ekaterina Eremenko."
- John Rognes, Chairman of the Abel Com …
24
votes
1
answer
5k
views
"Gauss trick" vs Karatsuba multiplication
This question is inspired by article Alexander Shen "Gauss multiplication trick?" (Russian, "Mathematical Enlightenment", 2019).
Dasgupta, Papadimitriou, Vazirani, Algorithms (2008) Ch. 2:
The ma …
- 12.3k
6
votes
Your favorite surprising connections in mathematics
Traveling wave solutions to the KdV Equation for any speed
and whose profiles look like the graph of the $\wp$-function for any elliptic
curve.
More precisely, if $u(x, t)$ is a solution of …
2
votes
Why have mathematicians used differential equations to model nature instead of difference eq...
From Arnold's “Old and recent stories”:
The textbook of Zel'dovich (physicist) defines derivative
as `the difference quotient, where difference of the
argument is sufficiently small.'
He …
4
votes
Where is number theory used in the rest of mathematics?
Algebraic topology and theory of formal groups use arithmetic properties of binomial coefficients like
$$d(n)=\left({n\choose1},{n\choose2}, \ldots, {n\choose n-1}\right)=\begin{cases}
p,& \text{if } …
-3
votes
Which math paper maximizes the ratio (importance)/(length)?
It is not a proper answer but...
It is impossible to separate a cube into two cubes, or a fourth power into two fourth powers, or in general, any power higher than the second, into two like powers …
14
votes
LaTeX tricks that save time in typesetting
I'm not sure but new commands can be inconvenient for the editors. So the long plain commands can be better in this case. In order to save time I use macros which replace some simple strings by usual …
3
votes
Widely accepted mathematical results that were later shown to be wrong?
Hilbert's sixteenth problem. In his speech, Hilbert presented the problems as:
The upper bound of closed and separate branches of an algebraic curve of degree n was decided by Harnack (Mathematische …
1
vote
books well-motivated with explicit examples
Usually old books solve this problem. For example books of Euler consist mostly of examples. It is interesting to read Jacobi, Weierstrass, etc. Maybe universal recipe is to start with a book 50-100 y …
3
votes
Great mathematical figures and/or diagrams?
Geometry in Figures "written" by Arseniy Akopyan consist only of Figures. From Preface:
This book is a collection of theorems (or rather facts) of classical Euclidean geometry formulated in figure …
2
votes
Which math paper maximizes the ratio (importance)/(length)?
Crux Mathematicorum, 15: 7 (1989), p. 208.
15
votes
LaTeX tricks that save time in typesetting
Mathpix is a nice tool to convert images to LaTeX: "Take a screenshot of math and paste the LaTeX into your editor, all with a single keyboard shortcut". Formulae can be taken from Internet browser, d …
4
votes
Non-computational software useful to mathematicians
Mathpix is a nice tool to convert images to LaTeX: "Take a screenshot of math and paste the LaTeX into your editor, all with a single keyboard shortcut". Formulae can be taken from Internet browser, d …