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Let f(x)="∑s= 0dasxs∈Z[x] be a polynomial with ad≠0modp.
Let P ( z ) be a polynomial with degree n (≥1).
Let S n ( x ) be a polynomial with deg S n ( x ) = n.
Let P ( x ) = a n x n + ⋯ + a 1 x + a 0 be a polynomial with integral coefficients.
Let P ( x ) = a n x n + ⋯ + a 1 x + a 0 be a polynomial with integer coefficients.
[9]Let w z) be a meromorphic function in the complex plane, n ∈ ℕ, P[w] be a polynomial with the form (1.2) n > deg P[w].
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The talk will focus on optimization on the high-dimensional sphere when the objective function is a polynomial with independent Gaussian coefficients.
A quantic, known today as an algebraic form, is a polynomial with the same total degree for each term; for example, every term in the following polynomial has a total degree of 3:x3 + 7x2y − 5xy2 + y3.
Our goal is to formulate a simple and efficient algorithm whose input is a polynomial with the coefficients from some subfield of R and the output is the answer whether the surface is a rational canal surface.
As the surrogate model is a polynomial with fast evaluation, it can be efficiently evaluated with a sufficiently large number of times during the optimization, which facilitates the global search.
It was observed that contact area is a polynomial (with order of two) function of wheel load while there was a reverse linear relation between contact area and inflation pressure.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com