Shitikanth
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867
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 7 Obtain the formula for the following sequence 6 Combinatorial argument for $\sum_{k=0}^n k^2 \binom{n}{k} = n(n+1)2^{n-2}$ 5 Finding the $n$-th derivative of $f(x) =e^x \sin x$, solving the recurrence relation 5 Properties of self-adjoint operator 4 Symmetric Matrices

Reputation (867)

 +10 $n$-permutations with exactly $k$ fixed points +10 An inequality on trace of product of two matrices +10 Combinatorial argument for $\sum_{k=0}^n k^2 \binom{n}{k} = n(n+1)2^{n-2}$ +10 Calculation of volume and centre of mass of an arbitrary polyhedron

Questions (3)

 5 An inequality on trace of product of two matrices 3 Parabolas intersecting in integer points -1 “Mixing” the diagonals of a positive semidefinite matrix

Tags (38)

 12 sequences-and-series × 2 5 calculus × 5 9 linear-algebra × 6 5 algebra-precalculus × 3 7 combinatorics × 2 5 operator-theory × 2 7 recursive-algorithms 5 recurrence-relations 6 binomial-coefficients 5 derivatives

Accounts (16)

 Mathematics 867 rep 511 Computer Science 411 rep 210 Theoretical Computer Science 406 rep 39 Stack Overflow 199 rep 11 French Language 158 rep 17