symmetrical interpolation formula - definição. O que é symmetrical interpolation formula. Significado, conceito
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O que (quem) é symmetrical interpolation formula - definição

Thiele's Interpolation Formula; Thiele interpolation formula

Whittaker–Shannon interpolation formula         
  • The figure on the left shows a function (in gray/black) being sampled and reconstructed (in gold) at steadily increasing sample-densities, while the figure on the right shows the frequency spectrum of the gray/black function, which does not change. The highest frequency in the spectrum is ½ the width of the entire spectrum. The width of the steadily-increasing pink shading is equal to the sample-rate. When it encompasses the entire frequency spectrum it is twice as large as the highest frequency, and that is when the reconstructed waveform matches the sampled one.
SIGNAL (RE-)CONSTRUCTION ALGORITHM
Nyquist-Shannon Interpolation Formula; Shannon-Nyquist interpolation formula; Nyquist-Shannon interpolation formula; Nyquist–Shannon interpolation formula; Whittaker-Shannon interpolation formula; Shannon formula; Sinc interpolation; Sinc resampling
The Whittaker–Shannon interpolation formula or sinc interpolation is a method to construct a continuous-time bandlimited function from a sequence of real numbers. The formula dates back to the works of E.
interpolate         
  • Plot of the data points as given in the table
  • Plot of the data with linear interpolation superimposed
  • Plot of the data with polynomial interpolation applied
  • Plot of the data with spline interpolation applied
  • Piecewise constant interpolation, or [[nearest-neighbor interpolation]]
METHOD FOR CONSTRUCTING NEW DATA POINTS BETWEEN KNOWN DATA POINTS
Interpolated; Interpolation function; Interpolate; Interpolation error; Interpolating; Quadratic interpolation; Interpolation formula; Interpolant; Interpolates
v. (D; tr.) to interpolate into
Interpolation         
  • Plot of the data points as given in the table
  • Plot of the data with linear interpolation superimposed
  • Plot of the data with polynomial interpolation applied
  • Plot of the data with spline interpolation applied
  • Piecewise constant interpolation, or [[nearest-neighbor interpolation]]
METHOD FOR CONSTRUCTING NEW DATA POINTS BETWEEN KNOWN DATA POINTS
Interpolated; Interpolation function; Interpolate; Interpolation error; Interpolating; Quadratic interpolation; Interpolation formula; Interpolant; Interpolates
·noun That which is introduced or inserted, especially something foreign or spurious.
II. Interpolation ·noun The act of introducing or inserting anything, especially that which is spurious or foreign.
III. Interpolation ·noun The method or operation of finding from a few given terms of a series, as of numbers or observations, other intermediate terms in conformity with the law of the series.

Wikipédia

Thiele's interpolation formula

In mathematics, Thiele's interpolation formula is a formula that defines a rational function f ( x ) {\displaystyle f(x)} from a finite set of inputs x i {\displaystyle x_{i}} and their function values f ( x i ) {\displaystyle f(x_{i})} . The problem of generating a function whose graph passes through a given set of function values is called interpolation. This interpolation formula is named after the Danish mathematician Thorvald N. Thiele. It is expressed as a continued fraction, where ρ represents the reciprocal difference:

f ( x ) = f ( x 1 ) + x x 1 ρ ( x 1 , x 2 ) + x x 2 ρ 2 ( x 1 , x 2 , x 3 ) f ( x 1 ) + x x 3 ρ 3 ( x 1 , x 2 , x 3 , x 4 ) ρ ( x 1 , x 2 ) + {\displaystyle f(x)=f(x_{1})+{\cfrac {x-x_{1}}{\rho (x_{1},x_{2})+{\cfrac {x-x_{2}}{\rho _{2}(x_{1},x_{2},x_{3})-f(x_{1})+{\cfrac {x-x_{3}}{\rho _{3}(x_{1},x_{2},x_{3},x_{4})-\rho (x_{1},x_{2})+\cdots }}}}}}}