- 更多网络例句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。
- 更多网络解释与单项式相关的网络解释 [注：此内容来源于网络，仅供参考]
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centrifugal blower：离心通风机
Centerless sander 圆棒砂光机 | Centrifugal blower 离心通风机 | Chain-belt conveyer veneer drier 网带式单项式板干燥机
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Nested conditional expression：连锁式条件表示法
A. monomial expression 单项式 | Nested conditional expression 连锁式条件表示法 | Numerical expression 数值表达式
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congruent：全等
二项式(binomial):由二个单项式(monomial)的和或差所组成的代数式(关於单项式,请参阅单项式的定义).例如:4a-8b.二项式定理(binomial theorem):对於每个正整数n,是一个多项式,二项式系数 nCk 为单项式(monomial)的系数.全等(congruent):在平面或在空间中的两个图形,
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equality：等(式)
整式:单项式和多项式统称整式.(integral expression) 等式:拥"="号连接来表示相等关系的式子,叫做等式(equality). 方程:含有未知数的等式叫做方程(equation). 方程的解:能使方程左,右两边的值相等的未知数的值叫做方程的解(solution of equation).
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even function：偶函数
再如:对于单项式函数而言,次数是偶(奇)数的就一定是偶(奇)函数,而这也是偶函数(Even function)和奇函数(odd function)名称的来历. 这些知识本身或许并不重要,但如果我们对概念的形成多一份了解,就会对概念的作用多一份理解;
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monoid curve：独异点曲线
独异点;具么半群;具单位半群 monoid | 独异点曲线 monoid curve | 单项式;单项的 monomial
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monomial：单项式
(学生可分组讨论这个问题) 单项式(monomial) . 多项式(polynomial) . 整式(integral expression) 新知2.单项式的次数,多项式的次数 在单项式 中,每个单项式的数字因数是什么?每个单项式的字母因数的指数是什么?
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monomial：单项式;单项的
monomialmatrix单项阵 | monomial单项式;单项的 | monomict单矿碎屑岩
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monomials：单项式
无理式:irrationals | 单项式:monomials | 多项式:polynomials
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Sect 17 - Dividing Polynomials by Monomials：节17分的单项式多项式
Sect 16 - Multiplying Polynomials教16-2160多项式 | Sect 17 - Dividing Polynomials by Monomials节17分的单项式多项式 | Sect 18 - Dividing Polynomials by Polynomials节18分多项式的多项式