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interpolant

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Interpolants - an overview | ScienceDirect Topics
An interpolant is defined as a mathematical function that constructs a continuous signal from a sequence of discrete samples, enabling the estimation of values between known data points . www.sciencedirect.com
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Interpolant -- from Wolfram MathWorld
In univariate interpolation, an interpolant is a function L=L(x) which agrees with a particular function f at a set of known points. mathworld.wolfram.com
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Interpolation - Wikipedia
Interpolation is a type of estimation, a method of constructing (finding) new data points based on the range of a discrete set of known data points. en.wikipedia.org
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interpolant
interpolant Math. (ɪnˈtɜːpələnt) [f. L. interpolant-em, pres. pple. of interpolāre (see interpolate v.), or interpolate v. + -ant1.] A value or expression (given or calculated) used in finding some other value by interpolation.1920 Tracts for Computers ii. 17 Forward difference formulae, central dif... Oxford English Dictionary
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interpolant - Wiktionary, the free dictionary
Noun · A point interpolated between others · (mathematics) A function used to generate interpolation. Catalan. edit. Verb. edit. interpolant. gerund of ... en.wiktionary.org
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Interpolation with Curve Fitting Toolbox - MATLAB & Simulink
The interpolant method you use depends on several factors, including the characteristics of the data being fit, the required smoothness of the curve, speed ... www.mathworks.com
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Craig interpolation
This suffices to show that φ is a suitable interpolant in this case. know that Hence, ρ is a suitable interpolant for φ and ψ. wikipedia.org
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Interpolant – three.js docs
Abstract base class of interpolants over parametric samples. The parameter domain is one dimensional, typically the time or a path along a curve defined by the ... threejs.org
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Interpolant Functions - Leapfrog Geo - Seequent Product Help
Interpolant Functions. Leapfrog Geo's powerful 3D interpolation engine can interpolate any numeric data (e.g. ore grade or piezometric head measurements) to ... help.seequent.com
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interpolant, n. meanings, etymology and more | Oxford English ...
interpolant is a borrowing from Latin, combined with an English element. Etymons: Latin interpolant-em, ‑ant suffix1. See etymology. Nearby entries. interplical ... www.oed.com
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Interpolant — PyBaMM 22.4 documentation
interpolator (str, optional) – Which interpolator to use (“linear”, “pchip”, or “cubic spline”). extrapolate (bool ... docs.pybamm.org
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Craig interpolants equivalent to given intermediate predicates Let us consider a first-order predicate (or a propositional formula) K to be "intermediate" between A and B iff it is weaker than A and stronger than B (t...
Therefore, no interpolant exists which is logically equivalent to K.
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Radial basis function interpolation
The interpolant takes the form of a weighted sum of radial basis functions, like for example Gaussian distributions. points where it will sharply peak the so-called "bed-of-nails interpolant" (as seen in the plot to the right). wikipedia.org
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How to show the interpolant polynomial? Consider a uniform grid $\\{x_1, \ldots, x_N\\}$, with $x_{j+1}-x_j=h$ for each $j=1,2,...,N$, and a set of corresponding data values $\\{u_1,\ldots,u_N \\}$. Let $p_j$ be the ...
Let $p_j(x) = a+b(x_j-x)+c(x_j-x)^2$, where $a,b,c \in R$ are unknowns. Then we have $a = p_j(x_j)=u_j$. So, $p_j(x) = u_j+b(x_j-x)+c(x_j-x)^2$. Now, using $x_j-x_{j-1}=x_{j+1}-x_j=h$, we get $p_j(x_{j-1})=u_j+bh+ch^2=u_{j-1}$ and $p_j(x_{j+1})=u_j-bh+ch^2=u_{j+1}$. Solving for $b$ and $c$ gives $b=...
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Discrete spline interpolation
In the mathematical field of numerical analysis, discrete spline interpolation is a form of interpolation where the interpolant is a special type of piecewise This interpolant agrees with the values of f(x) at x0, x1, . . ., xn. wikipedia.org
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