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Results tagged with polynomials
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user 14436
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.
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polarization formula for homogeneous polynomials
given a homogeneous polynomial p of dgree n on $R^d$, there is a unique symmetric n-linear functional $B$ on $(R^d)^n$ such that $p(x)=B(x,..,x)$. The question is: Can we get $B$ by means of a polariz …
- 367
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derivation and measure
Given n vectors $w_1,\dots, w_n$ in $R^d$ we consider the functional $\phi$ defined on polynomials by $\phi(p)= \partial_{w_1}\dots \partial_{w_n}p(0)$ where $\partial_{w}$ is the directional derivative …
- 367
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evaluation for homogeneous polynomials
Let $p:=\sum_{n=0}^\infty p_n$ be a polynomial given by its terminating decomposition by means of homogeneous polynomials. …
- 367