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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.

7 votes

Conceptual insights and inspirations from experimental and computational mathematics

I'm hardly familiar with this area myself, but the impression I get is that complex dynamics was strongly influenced by computer images of the Julia and Mandelbrot sets. These images revealed a lot of …
3 votes

Suggestions for good notation

In type theory, the notation $(x : A) \to B (x)$ instead of $\Pi_{x : A} B (x)$ for the dependent product and $(x : A) \times B (x)$ instead of $\Sigma _{x : A} B (x)$ for the dependent sum. For non-t …
3 votes

Tweetable Mathematics

e^x is sum of x^k/k!, k=0,1,...: Binomial theorem on (1+x/n)^n; coefficient of x^k is binom(n,k)/n^k=(1-1/n)...(1-(k-1)/n)/k!→1/k! as n→∞ (137 characters, uses fancy Unicode characters)