“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	FundamentalTheoremOfCalculus fundamental theorem of calculus FundamentalTheoremOfCalculusForKurzweilHenstockIntegral fundamental theorem of calculus for Kurzweil-Henstock integral FundamentalTheoremOfCalculusForRiemannIntegration fundamental theorem of calculus for Riemann integration FundamentalTheoremOfCoalgebras fundamental theorem of coalgebras FundamentalTheoremOfDemography fundamental theorem of demography FundamentalTheoremOfDemographyProofOf fundamental theorem of demography, proof of FundamentalTheoremOfFinitelyGeneratedAbelianGroups fundamental theorem of finitely generated abelian groups FundamentalTheoremOfGaloisTheory fundamental theorem of Galois theory FundamentalTheoremOfIdealTheory fundamental theorem of ideal theory FundamentalTheoremOfIntegralCalculus fundamental theorem of integral calculus FundamentalTheoremOfProjectiveGeometry fundamental theorem of projective geometry FundamentalTheoremOfSpaceCurves fundamental theorem of space curves FundamentalTheoremOfSymmetricPolynomials

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