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Results tagged with big-list
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user 17761
Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.
2
votes
Why linear algebra is fun!(or ?)
One nice application of linear algebra (mainly dimension theory) is the impossibility of the duplication of the cube (problem that dates back to the Greeks and was solved only in 1837 by Wantzel).
9
votes
How has modern algebraic geometry affected other areas of math?
The size of Fourier coefficients of modular forms can only be studied (so far) via the use of very sophisticated tools from Algebraic Geometry. Of course, one could argue that modular forms are part o …
9
votes
Examples of seemingly elementary problems that are hard to solve?
Take two commutative rings $A$ and $B$ such that the polynomial rings $A[X]$ and $B[X]$ are isomorphic. Does this imply that $A$ and $B$ are isomorphic? (I think this is still open.)
2
votes
Generalizing a problem to make it easier
Here is a riddle which proves to be extremely hard: Imagine a finite assembly in which some people happen to be friends (friendship is a symmetric relation but not transitive and you are
not your own …