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Results tagged with soft-question
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user 34180
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.
26
votes
Examples of conjectures that were widely believed to be true but later proved false
Borsuk's conjecture was believed to be true for 60 years till its counterexample was found in 1993 by Jeff Kahn and Gil Kalai.
They constructed an infinite family of counterexamples by using a result …
10
votes
Most helpful math resources on the web
Sci-Hub is pretty helpful in accessing articles, even for those researchers who already have access to several journals. The interface is great, the site is pretty fast, and the database is huge. See …
6
votes
Which math paper maximizes the ratio (importance)/(length)?
The 1949 paper by R.C. Bose "A Note on Fisher's Inequality for Balanced Incomplete Block Designs" arguably gave birth to the linear algebra method in combinatorics which has since been used by many to …
5
votes
Contest problems with connections to deeper mathematics
IMO 2007 P6. Let $n$ be a positive integer. Consider the set $S$ of points $(x, y, z)$ with $x, y, z \in \{0, 1, \dots, n\}$ and $x + y + z > 0$, so $S$ is a set of $(n+1)^3 - 1$ points in three-dimen …
5
votes
Combinatorial databases
Andries Brouwer's collection of strongly regular graphs: http://www.win.tue.nl/~aeb/graphs/srg/srgtab.html
Eric Moorhouse's collections of finite projective planes and generalized polygons: http://eri …