interpolation (mathematics)
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mathematical interpolation oor Sjinees
mathematical interpolation
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method for constructing new data from known data
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This work surveys interpolation methods which might be used by someone, with access to mathematical tables, who has to do the computations with a desk calculator.
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Different generalizations as well as some applications of these formulae to various problems of mathematics (problems of analytic continuation in the theory of functions), in theoretical and mathematical physics, in extrapolation and interpolation of signals having a finite Fourier spectrum, and results obtained by computer simulation on the elimination of noise in a given frequency band, are presented in the book , which looks like an encyclopaedia on the theory and applications of the Carleman-type ideas and methods.
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This motivated him to study the mathematics lying behind somewhat ad hoc methods that the actuaries were using and Whittaker proved some important results on interpolation as a consequence.
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Calculating trigonometric functions can substantially slow a computing application. The same application can finish much sooner when it first precalculates the sine of a number of values, for example for each whole number of degrees (The table can be defined as static variables at compile time, reducing repeated run time costs). When the program requires the sine of a value, it can use the lookup table to retrieve the closest sine value from a memory address, and may also take the step of interpolating to the sine of the desired value, instead of calculating by mathematical formula.
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4 sinne gevind in 9 ms. Hulle kom uit baie bronne en word nie nagegaan nie.