# Interpolation

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## Interpolation

A method of approximating a price or yield that is unknown by using numbers that are known.

## Interpolation

An estimate of an unknown variable using known variables that are somehow related to the unknown variable.
References in periodicals archive ?
The nonmembership detection is based on Lagrange interpolation formula. That is, with t or more than t coordinate points of a polynomial can uniquely determine this polynomial and the secret; however, if there is any invalid value in the set of coordinate points, it cannot determine the original polynomial and the secret.
According to the interpolation formula, it can be derived that
Our approach is based on Newton's divided differences interpolation formula. We show that the sums in formulas (1.3) and (1.4) are indeed two direct consequences of a specific interpolation formula of Newton type and their corresponding remainders must obey the residue of a Newton interpolation formula.
* - Having the fragments {[F.sub.i]/i [member of] A }, for some group A with |A | = k, the polynomial f (x) and, thus, the information S, can be obtained using Lagrange's interpolation formula as in equations (2, 3).
In our approach the derivatives of the velocity potential are calculated by employing the Lagrange interpolation formula through five points.
We now consider the interpolation formula given in Corollary 7.
To calculate an IRR, two net present values should be calculated and then be used in the interpolation formula to derive the rate.
Most of the time, the interpolation formula depends on the values of the spectrum, through the values of [S.sub.t] ([omega]) and [V.sub.t] ([omega]).
It can be easily seen that the polynomial enclosed in the first square brackets fits the curve y(x) satisfying the given data, which is the Newton's forward difference interpolation formula. And hence, the other part of (2.4) can be directly equated to zero.
Between these fixed points, standard platinum resistance thermometers (SPRTs) are used as interpolating devices with a prescribed interpolation formula. At any temperature between the fixed-point values, the temperature indicated by an SPRT may depend on the physical or chemical characteristics of that particular SPRT.
We consider the initial value problem (1.1) and the Newton's forward interpolation formula for a real analytic P(x) for these derivations, where P(x) is given by
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