单项式
- 与 单项式 相关的网络例句 [注:此内容来源于网络,仅供参考]
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First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.
文中首先对现有的多元多项式插值方法作了一个介绍和评述,在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题:给定n维仿射空间K~n中两两互异的点A_1,A_2,…,A_m,在结点A_i处给定函数值f_i(i=1,…,m),构造多项式p∈K[X_1,X_2,…,X_n],满足Lagrange插值条件:p=f_i,i=1,…,m (1)其中X=(X_1,X_2,…,X_n),与一元情形相似地,本文证明了定理满足插值条件(1)的多项式存在,并且按"序"最低的多项式是唯一的,上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出,Lagrange插值另一种描述是:按序从低到高给定单项式ω_1,ω_2,…,ω_m,对任意给定的f_1,f_2,…,f_m,构造多项式p,满足插值条件:p=sum from i=1 to m=Ai=f_i,i=1,…,m (2)如果插值多项式p存在且唯一,则称插值问题适定。
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Firstly, we get the necessary and sufficient conditions for Toeplitz operators that commutes with another such operator whose symbol is a monomial, meanwhile, we completely characterize when the mellin transform of the bounded function on the interval 0,1 is a rational function.
首先得到了以有界函数为符号的Toeplitz算子和以单项式函数为符号的Toeplitz算子可交换的充要条件,同时给出了0,1区间上的有界函数的Mellin变换为有理函数的充要条件。
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Marsh has proved that allmonomials are canonical basis elements for type 〓, he did not give concreteexpressions of monomial elements in canonical basis.
Marsh已经证明:对〓型量子群来说,所有单项式元素都属于典范基,但他并没有给出典范基中的单项式元素的具体表达式。
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Our first main result is (see §9.1) 9.1. Theorem. Let a =∈〓.χ={i =|〓=〓}, where 〓 is the unique longestelement in Weyl group of complex semi-simple Lie algebra for type 〓. Thencorresponding to 62 equivalence classes in χ for certain equivalent relation ~,we have 62 monomial elements in canonical basis, each of them correspondsto a region which consists of six independent inequalities.
我们的第一个主要结果是群的唯一最长元素,那么与χ的关于某种等价关系~的62个等价类对应,在典范基中有62个单项式元素,每个单项式元素对应一个由六个独立不等式构成的区域。
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The highest degree of all the trem in a polynomial is called the degree of the polynomial.
一个多项式的次数就是其中最大的单项式的次数。
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Moreover, we present a lattice path interpretation of the isobaric divided difference operators, and derive an expression for the flagged Schur function in terms of isobaric operators acting on a monomial.
并且,我们提供了齐次差分算子的一个格路径解释,从而证明了每一个带标志的Schur函数可以通过作用齐次算子序列在某个单项式上得到。
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Based on the special matrix operations including Kronecker product, Hadamard product and vectorization, the integration of monomial integrand on simplex domain is expressed in matrix form and a recursive formula for the simplex integration is presented.
基于Kronecker积、Hadamard积和拉直等矩阵特殊运算,将单项式函数在单纯形上的积分表示为矩阵形式,提出了单纯形积分的递推公式。
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The degree of a monomial is the sum of the exponents of all the variables.
一个单项式的次数就是把所有代数的指数加起来。
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Finally, we apply the consistency condition to deal with free resolutions of monomial ideals.
此外,我们还利用一致性条件来处理单项式理想的一致自由分解。
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Hence a monomial is a polynomial of exactly one term.
只有一项的多项式亦被称为单项式。
- 推荐网络例句
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Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.
Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。
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I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.
我来只是现在,'歼灭战perfuming自己与胡努特,那麼,他来到和SAT 。
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The shamrock is the symbol of Ireland and of St.
三叶草是爱尔兰和圣特里克节的标志同时它的寓意是带来幸运。3片心形叶子围绕着一根断茎,深绿色。