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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.
6
votes
Good papers/books/essays about the thought process behind mathematical research
Manindra Agrawal has talked about the story behind the primality testing algorithm: http://www.cse.iitk.ac.in/~manindra/presentations/GodelTalk.pdf
78
votes
What are the most misleading alternate definitions in taught mathematics?
A simple example is the two definitions for independence of events:
A and B are independent iff $P(A\cap B) = P(A)P(B)$
A is independent from B iff $P(A\mid B) = P(A)$
Some presentations start wit …
34
votes
What are the most misleading alternate definitions in taught mathematics?
Another simple example is the definition for equivalence relations:
R(.,.) is an equivalence relation iff R is reflexive, symmetric, and transitive.
R(.,.) is an equivalence relation iff there exist …