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seen Jul 12 at 12:41

Self-taught mathematician


Aug
3
awarded  Enlightened
Aug
3
awarded  Nice Answer
Aug
27
awarded  Yearling
Jan
12
answered Different ways to represent functions other than Laurent and Fourier series?
Nov
11
revised How can one efficiently generate n small relatively prime integers?
added 150 characters in body
Nov
11
comment How can one efficiently generate n small relatively prime integers?
@Qiaochu, OK but how does Latex work here? Any links?
Nov
11
revised How can one efficiently generate n small relatively prime integers?
added 12 characters in body
Nov
11
awarded  Editor
Nov
11
comment How can one efficiently generate n small relatively prime integers?
@Moron, I was in a hurry when I typed it last night and messed it up. Read it now. About O(log n) bits, yes, some of these may not provide that.
Nov
11
revised How can one efficiently generate n small relatively prime integers?
deleted 78 characters in body; added 4 characters in body
Nov
11
answered How can one efficiently generate n small relatively prime integers?
Nov
8
comment Intuition explanation of taylor expansion?
See the graph @ en.wikipedia.org/wiki/Taylor_series. Also see en.wikipedia.org/wiki/Taylor_polynomial. Taylor's theorem is derived from the Mean Value Theorem
Nov
6
answered What does closed form solution usually mean?
Nov
3
answered Intuitive explanation of the difference between waves in odd and even dimensions
Aug
29
comment Using Gröbner bases for solving polynomial equations
See also: en.wikipedia.org/wiki/Faug%C3%A8re%27s_F4_and_F5_algorithms
Aug
29
comment Using Gröbner bases for solving polynomial equations
The choice of Order is tied to running time/complexity. There are papers on this topic which I haven't read. On your second question, there is an underlying ideal-variety correspondence(i.e. comm. algebra to algebraic geometry). The Groebner basis Ideal I=<f1, ... fk> you end up with may not contain the initial two polynomials you started with (due to S-poly reductions), therefore Variety(Ideal) can be a null set. This gets decided by the Extension Theorem books.google.com/…
Aug
28
awarded  Teacher
Aug
28
answered Using Gröbner bases for solving polynomial equations