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 Yearling
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Jan
19
comment prove that $ \binom{n-1}{0} +\binom{n}{1}+\binom{n+1}{2}+\cdots+\binom{n+k}{k+1}=\binom{n+k+1}{k+1}$
When you apply your identiy to RHS and simplify, you obtain the same problem but one step smaller. So you could continue to do the reduction.
Sep
24
awarded  Yearling
Dec
20
awarded  Constituent
Dec
16
awarded  Caucus
Sep
24
awarded  Yearling
Aug
24
revised Special solutions to Ax = 0
added 62 characters in body
Aug
24
answered Special solutions to Ax = 0
Aug
20
comment Special solutions to Ax = 0
Given an arbitrary mn matrix M, how should one algorithmically go about to compute its null space (that contains all vectors v with Mv=0)? Thanks in advance.
Apr
28
asked Probabilities of throws of Archimedian solids
Mar
28
answered Matrix with determinant 0
Mar
27
awarded  Supporter
Mar
23
awarded  Tumbleweed
Mar
10
comment What exactly do eigenvalue and eigenvector indicate?
See mathworld.wolfram.com/Eigenvalue.html which has a sentence about that.
Jan
26
comment proving that a point is the center of a circle
There seems to be an error in the formulation of the problem. For if that's generally true, then it is impossible to have 10 (a constant) in DE = 10 + AB.
Dec
25
comment The last three digits of $3\times7\times11\times15\times \cdots \times 2003$
Sorry, typo: Please read: "we have f(500)=875".
Dec
25
answered The last three digits of $3\times7\times11\times15\times \cdots \times 2003$
Nov
26
awarded  Guru
Nov
26
awarded  Good Answer
Nov
26
awarded  Mortarboard
Nov
26
awarded  Nice Answer