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

{\displaystyle \mathbf {X} } and Y {\displaystyle \mathbf {Y} } . The trigonometric interpolation polynomial p ( t ) = { 1 N [ X 0 + X 1 e i 2 π t + ⋯ + X N 2...

topics Trigonometric interpolation — interpolation by trigonometric polynomials Discrete Fourier transform — can be viewed as trigonometric interpolation at...

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

use of interpolation polynomials was to approximate values of important transcendental functions such as natural logarithm and trigonometric functions...

finite Fourier series. Trigonometric polynomials are widely used, for example in trigonometric interpolation applied to the interpolation of periodic functions...

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

polynomial is known as the trigonometric polynomial. The trigonometric polynomial's ample applications may be acquired in its interpolation, and its extension...

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

Papyrus) and Babylonian mathematics. Trigonometry was also prevalent in Kushite mathematics. Systematic study of trigonometric functions began in Hellenistic...

finite Fourier series. Trigonometric polynomials are widely used, for example in trigonometric interpolation applied to the interpolation of periodic functions...

transform); a true cosine+sine DFT was used by Gauss in 1805 for trigonometric interpolation of asteroid orbits. Euler and Lagrange both discretized the vibrating...

numbers showing the results of a calculation with varying arguments. Trigonometric tables were used in ancient Greece and India for applications to astronomy...

and Trigonometric Functions: BKM algorithm: computes elementary functions using a table of logarithms CORDIC: computes hyperbolic and trigonometric functions...

found their similar Cooley–Tukey algorithm. He developed it as a trigonometric interpolation method, but the paper Theoria Interpolationis Methodo Nova Tractata...

(including Fourier analysis, Fourier transforms, trigonometric approximation, trigonometric interpolation, and orthogonal functions) 43: Abstract harmonic...

(This fact was first noted by Gauss when solving the problem of trigonometric interpolation.) The straightforward application of U or its inverse to a given...

is shorthand for spherical linear interpolation, introduced by Ken Shoemake in the context of quaternion interpolation for the purpose of animating 3D rotation...

(boundary value problem), an identity in calculus Lagrange's trigonometric identities, two trigonometric identities Lagrange's four-square theorem, a theorem...

Brahmagupta's interpolation formula is a second-order polynomial interpolation formula developed by the Indian mathematician and astronomer Brahmagupta...

the method to be convergent, a choice similar to that in the trigonometric interpolation section above should be used.) A linear differential equation...

kernel Trigonometric Series (Cambridge University Press 1959, 2002) Intégrales singulières (Springer-Verlag, 1971) Trigonometric Interpolation (University...

{\displaystyle a_{2k}} are the amplitudes of the unique bandlimited trigonometric interpolation polynomial passing through the N+1 points where f(cos θ) is evaluated...

{\boldsymbol {u}})} is usually not on the 4-D grid, DFST adopts trigonometric interpolation to compute the non-grid values. The algorithm consists of these...

Ray Plane Bearing Angle Degree Minute Radian Circumference Diameter Trigonometric function Asymptotes Circular functions Periodic functions Law of cosines...

tables is to obtain the result of a trigonometry calculation, such as the sine of a value. Calculating trigonometric functions can substantially slow a...

sine-value of 225 (although the rest of its sine-table is lost), implying a trigonometric radius of R = 3438 approx= C(')/2π: a tradition followed, as we have...

standard method of levelling in construction and surveying is called trigonometric levelling, which is preferred when levelling "out" to a number of points...

of tables of trigonometric functions and their natural logarithms. These tables greatly simplified calculations in spherical trigonometry, which are central...

implementations of digital trigonometric functions often use precomputed lookup tables to either provide coefficients for interpolation algorithms or to initialise...