Examples of using Polynomial in English and their translations into Vietnamese
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In mathematics, especially in the field of algebra, a polynomial ring or polynomial algebra is a ring(which is also a commutative algebra)
A transcendental function is an analytic function that does not satisfy a polynomial equation, in contrast to an algebraic function.[1][2] In other words, a transcendental function"transcends" algebra in
elimination theory is concerned with eliminating one or more variables from a system of polynomial equations, usually by the method of resultants.
such as homological properties and polynomial identities.
All polynomials of order k are O(Nk).
Similarly, quadratic polynomials with three or more variables correspond to quadric surfaces and hypersurfaces.
Several polynomial sequences like Lucas polynomials(Ln), Dickson polynomials(Dn), Fibonacci polynomials(Fn) are related to Chebyshev polynomials Tn and Un.
When you work with polynomials you need to know a bit of vocabulary, and one of the
Surprisingly, the classical Euclid's algorithm turned out to be inefficient for polynomials over infinite fields, and thus new algorithms needed to be developed.
century by René Descartes, who distinguished between real and imaginary roots of polynomials.
It was here that, for the first time, the fundamental theorem of algebra was stated for polynomials with complex coefficients, rather than just real coefficients.
His book Fourier Series and Orthogonal Polynomials(dated 1941) was reprinted in 2004.
Note that this usage of the term linear is not the same as in the section above, because linear polynomials over the real numbers do not in general satisfy either additivity or homogeneity.
When writing polynomials, the coefficients are usually taken to be known
DeMarco and Lindsey have found a systematic way to think about polynomials in 3-D terms, but whether that perspective will answer important questions about those polynomials is unclear.
Imaginary number Isogonal Isogonal trajectory Orthogonal complement Orthogonal group Orthogonal matrix Orthogonal polynomials Orthogonalization Gram- Schmidt process Orthonormal basis Orthonormality Orthogonal transform Pan-orthogonality occurs in coquaternions Surface normal Orthogonal ligand-protein pair.
besides being able to multiply just numbers, polynomials or matrices, one can also define products on many different algebraic structures.
One can ask for all polynomials in A, B, and C that are unchanged by the action of SL2; these are called the invariants of binary quadratic forms, and turn out to be the polynomials in the discriminant.
Where ζ{\displaystyle\zeta} denotes the Riemann zeta function; one approach to prove this inequality is to obtain the Fourier series for the polynomials B k( x){\displaystyle B_{k}(x)}.
exists in certain contexts, based on the central example of closed-form solutions to polynomials.