Examples of using Polynomials in English and their translations into Chinese
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Political
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Ecclesiastic
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Programming
Polynomials and Power Series.
Making sure Alice chooses her polynomials according to an assignment.
Three polynomials have become international standards:.
I asked him if it was possible to draw polynomials of x to the power of 7 or 8.
Three polynomials have become international standards:.
With values at integers n{\displaystyle n} of irreducible integer-valued polynomials.
Students will explore polynomials, rational functions, and many others.
Witten's work seemed to suggest thatcertain physical systems calculate Jones polynomials instantaneously.
Lower-order polynomials(low model complexity) have high bias and low variance.
In this link one can also find these polynomials, called Pi(n, x), for n=1… 30.
Orthogonal polynomials and random matrices: a Riemann-Hilbert approach.
Polyhedral combinatorics Lattice polytopes Ehrhart polynomials Pick's theorem Hirsch conjecture.
For any set of polynomials S, let T be the set of their images in A(X). Then the subset of X.
Raymer and Smith also classified the types of knots they found,using the Jones polynomials developed by mathematicians.
A common choice is to use polynomials, but they can also be other types of functions.
Sometimes it is desirable to express the Bézier curve as a polynomial instead of a sum of less straightforward Bernstein polynomials.
This is the surprising thing: the polynomials work equally well on both the x or the y axis.
Taylor polynomials are an incredibly powerful for approximations, and Taylor series can give new ways to express functions.
Sometimes it is desirable to express the Bézier curve as a polynomial instead of a sum of less straightforward Bernstein polynomials.
Higher-order polynomials(high model complexity) fit the training data extremely well and the test data extremely poorly.
Hennessy, A Note on Narayana Triangles and Related Polynomials, Riordan Arrays, and MIMO Capacity Calculations, J. Int.
In the mathematical subfield of numerical analysis the Clenshaw algorithm(Invented by Charles William Clenshaw)is a recursive method to evaluate polynomials in Chebyshev form….
Polynomial sequences of binomial type Orthogonal polynomials Secondary polynomials Sheffer sequence Sturm sequence Generalized Appell polynomials.
Although piecewise-defined functions like the sign function orstep function were used, polynomials were generally preferred because they were easier to work with.
Sergi Bernstein introduces the“Bernstein polynomials” in giving a constructive proof of Weierstrass's theorem of 1885.
The Taylor series can be used in obtaining the partial sums orthe Taylor polynomials through using approximation techniques in the entire function.
It has sophisticated data structures(including lists, polynomials, rational functions, linear systems), an interpreter and a high level programming language.
Models with low bias areusually more complex(e.g. higher-order regression polynomials), enabling them to represent the training set more accurately.
The infinitesimal generator(infinigen) for the Narayana polynomials A090181/A001263 can be formed from the row polynomials P(n, y) of this entry.