“VandermondeInterpolationApproach”的概念、定义、习题解题方法及翻译-数学辞典

单词	VandermondeInterpolationApproach
释义	Vandermonde interpolation approach The Vandermonde approach for interpolation is when we wish to determine the interpolating polynomial $p(x)=a_{0}+a_{1}x+a_{2}x^{2}+\\ldots+a_{n}x^{n}$ for the $n+1$ points $(x_{i},y_{i})$ , $i=0,1,\\ldots,n$ by forming the equations $y_{i}=a_{0}+a_{1}x_{i}+a_{2}x_{2}^{2}+\\ldots+a_{n}x_{n}^{n}$ for $i=0,1,\\ldots,n$ , and solving for the unknown coefficients $a_{0},a_{1},\\ldots,a_{n}$ . The system of equations can be written by using matrices $Y=XA$ where $X$ is a Vandermonde matrix.
随便看	summation SummationByParts summation by parts SummatoryFunctionOfArithmeticFunction summatory function of arithmetic function SummedNumeratorAndSummedDenominator summed numerator and summed denominator SumOfAnglesOfTriangleInEuclideanGeometry sum of angles of triangle in Euclidean geometry SumOffracmunn SumOfIdeals sum of ideals SumOfOddNumbers sum of odd numbers SumOfPowersOfBinomialCoefficients sum of powers of binomial coefficients SumOfReciprocalsOfSylvestersSequence sum of reciprocals of Sylvester’s sequence SumOfRthPowersOfTheFirstNPositiveIntegers sum of rth powers of the first n positive integers SumOfSeries sum of series SumOfSeriesDependsOnOrder sum of series depends on order SumOfValuesOfHolomorphicFunction

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

Vandermonde interpolation approach