mathematical subfields of numerical analysis and mathematical analysis, a trigonometric polynomial is a finite linear combination of functions sin(nx) and cos(nx)...

In mathematics, trigonometric interpolation is interpolation with trigonometric polynomials. Interpolation is the process of finding a function which...

_{n=1}^{N}b_{n}\sin(nx).} The trigonometric series can be defined similarly analogous to the trigonometric polynomial, its infinite inversion. Let A...

cos(nx) are expanded in terms of sin(x) and cos(x), a trigonometric polynomial becomes a polynomial in the two variables sin(x) and cos(x) (using the multiple-angle...

This is a list of polynomial topics, by Wikipedia page. See also trigonometric polynomial, list of algebraic geometry topics. Degree: The maximum exponents...

several equivalent ways, one of which starts with trigonometric functions: The Chebyshev polynomials of the first kind T n {\displaystyle T_{n}} are defined...

of a periodic function into a sum of trigonometric functions. The Fourier series is an example of a trigonometric series. By expressing a function as a...

\{B_{n}\}} are coefficients. It is an infinite version of a trigonometric polynomial. A trigonometric series is called the Fourier series of the integrable...

mathematics, tables of trigonometric functions are useful in a number of areas. Before the existence of pocket calculators, trigonometric tables were essential...

In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for...

seen as a form of polynomial interpolation with harmonic base functions, see trigonometric interpolation and trigonometric polynomial. Hermite interpolation...

functions, these orthogonal functions may be assembled into a trigonometric polynomial to approximate a given function on the interval with its Fourier...

bounding the value of function's best approximation by algebraic or trigonometric polynomials in terms of the modulus of continuity or modulus of smoothness...

The real part of any root of unity is a trigonometric number. By Niven's theorem, the only rational trigonometric numbers are 0, 1, −1, 1/2, and −1/2. An...

function with a finite number of terms, say with a Taylor polynomial or a partial sum of the trigonometric series, respectively. In the case of the Taylor series...

of polynomial equations (sometimes simply a polynomial system) is a set of simultaneous equations f1 = 0, ..., fh = 0 where the fi are polynomials in...

factorizations). With this initial motivation to consider types of trigonometric polynomial with independent frequencies, mathematical analysis was applied...

also exist for signomials, trigonometric polynomials, polynomial matrices, polynomials in free variables, quantum polynomials, and definable functions on...

logarithm, and trigonometric functions. However, the set of basic functions depends on the context. For example, if one adds polynomial roots to the basic...

functions using Padé approximant, and trigonometric interpolation is interpolation by trigonometric polynomials using Fourier series. Another possibility...

indicates how many times one number contains another Trigonometry Trigonometric functions Trigonometric identities Euler's formula Archimedes Aristarchus...

of trigonometric functions, and since f(t) is time-limited, this sum will be finite, so F 2 {\displaystyle F_{2}} will be actually a trigonometric polynomial...

trigonometric functions has a corresponding inverse function, and an analog among the hyperbolic functions. The oldest definitions of trigonometric functions...

mathematics, Legendre polynomials, named after Adrien-Marie Legendre (1782), are a system of complete and orthogonal polynomials with a wide number of...

to a polynomial or spline See also: List of numerical computational geometry topics Trigonometric interpolation — interpolation by trigonometric polynomials...

classical trigonometry. He also points out that, to a student with a scientific calculator, formulas that avoid square roots and trigonometric functions...

navigation are built from logarithmic and trigonometric functions, which can be approximated by polynomials, so a difference engine can compute many useful...

1992; "Mean Number of Real Zeroes of a Random Trigonometric Polynomial. II," in Topics in Polynomials of One or Several Variables and Their Applications...

mathematics, an exponential sum may be a finite Fourier series (i.e. a trigonometric polynomial), or other finite sum formed using the exponential function, usually...

an algebraic equation or polynomial equation is an equation of the form P = 0 {\displaystyle P=0} , where P is a polynomial with coefficients in some...