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Results tagged with polynomials
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user 78672
Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.
7
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Positive Semidefinite Polynomial with Bounded Degree in each Variable
I have been calling these polynomials multiquadratic (is there another established name for them?). … In the case of multiquadratic polynomials are all positive semidefinite polynomials sum of squares? …
- 1,187
8
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3
answers
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Combinatorial identity with connection coefficients and falling factorial $\langle i x\rangl...
Let $j, k ,n$ be nonnegative integers such that $0 \leq j, k \leq n \leq k +j $. Pick integer $m$ such that $0 \leq m \leq k + j - n$.
Let $\langle x \rangle_m$ denote the falling factorial $x(x-1)\l …
- 1,187