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@algebrafact
twitter.com/algebrafact
One fact per day M-F from algebra and number theory by @johndcook. Other daily math tweets: @TopologyFact, @ProbFact and @AnalysisFact.
845 Posts by algebrafact
algebrafact
Algebra Fact
The nth Legendre polynomial is proportional to the nth derivative of (1-x^2)^n.
9 hours ago
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12
algebrafact
Algebra Fact
Every group of prime order is cyclic.
4 days ago
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15
Algebra: the Faustian bargain
divisbyzero.com/2010/07/26/algebra-the-faustian-bargain/
algebrafact
Algebra Fact
'Algebra is the offer made by the devil to the mathematician ...'
http://t.co/vLBuk4yM
5 days ago
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100 more
algebrafact
Algebra Fact
RT
@Jose_A_Alonso
: "The progress of mathematics can be viewed as progress from the infinite to the finite." -- Gian-Carlo Rota
5 days ago
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12
algebrafact
Algebra Fact
A closed subgroup of a Lie group is a submanifold.
6 days ago
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6
Eigenvalues of non-symmetric matrix and its transpose - MathOverflow
mathoverflow.net/questions/97733/eigenvalues-of-non-symmetric-matrix-and-its-transpose
algebrafact
Algebra Fact
Eigenvalues of non-symmetric matrix and its transpose
http://t.co/bRfxpNmt
6 days ago
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5 more
algebrafact
Algebra Fact
Fibonacci identity: F_{2n} = F_n F_{n+1} + F_{n-1} F_n
7 days ago
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18
Forman Acton describes Chebyshev polynomials as "cosine curves with a somewhat disturbed horizontal scale."
johndcook.com/ChebyshevPolynomials.pdf
algebrafact
Algebra Fact
Chebyshev polynomials
http://t.co/BV5QY6v3
8 days ago
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Josh Cooper's Math Pages : Open Combinatorics Problems
math.sc.edu/~cooper/combprob.html
algebrafact
Algebra Fact
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@mathematicsprof
Here is a large list of fascinating (and hard) combinatorial problems
8 days ago
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algebrafact
Algebra Fact
There are two groups of order 14: one abelian (Z_2 x Z_7) and one non-abelian (Dihedral(7)).
11 days ago
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