查询词典 Lagrange multiplier

In this paper, we characterize the multiplier algebras of JC-algebras by double centralizers , and study the relationship between multiplier algebra M of complex C*-algebra A and C*-algebra C* M(Asa generated by the multiplier algebra of JC-algebra Asa, the self-adjoint part of A, Finally, we study the extension of JB-algebras.

本文用双中心子刻画了JC代数的乘子代数，并且研究了复C*－代数的自伴部分的乘子代数生成的C*－代数与原C*－代数的乘子代数之间的关系，最后研究了JB代数的扩张。

By redefining multiplier associated with inequality constraint as a positive definite function of the originally-defined multiplier, it is no longer necessary to convert inequality constraints into equality constraints by slack variables in order to reuse the method dedicated to equality constraints for constructing Lagrange neural networks.

若重新定义与不等式约束相关的乘子为正定函数，则在构造Lagrange神经网络时，可直接使用处理等式约束的方法处理不等式约束，不需再用松驰变量将不等式约束转换为等式约束，减小了网络实现的复杂程度。

It is composed of variable neurons, Lagrange multiplier neurons and Kuhn-Tucker multiplier neurons which are interconnected.

该模型由变量神经元、Lagrange 乘子神经元和Kuhn-Tucker乘子神经元相互连接构成。

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。

By investigating Euler\'s application of variational mathematics to mechanics, especially his principle of least action,the mechanics background of his research and its influence on Lagrange are revealed.6.By the discussion of Lagrange\'s innovation and generalization of the calculus of variations,the reason why Lagrange puts forward his method of variation by comparing Euler\'s method is explained.

深入细致地分析了拉格朗日对变(来源：ABC论文2d网www.abclunwen.com)分法所做的变革和发展：(1)通过比较欧拉方法和拉格朗日方法，探讨了拉格朗日变分方法——δ-方法提出的动因；(2)详细论述了拉格朗日早期对变分法发展所作的重要贡献；(3)探究了拉格朗日δ-方法由非参数形式向参数形式转变的原因。7。

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。

The main results areas follows: On the invariants of λ-multiplier convergent series, first, it proves that ifλ- has the signed weak gliding hump property, the λ-multiplier convergentseries has the dual invariant.

获得了如下研究成果：在〓数乘收敛级数的不变性方面，首先证明了若〓具有弱滑脊性，那么〓数乘收敛级数具有对偶不变性。

It analysed the principle of Reed-Solomon encode, the design of basic unit circuit, including Galois field adder and multiplier, and addressed the application method of parallel multiplier with constant coefficients under the natural base.

分析了RS码的编码原理，基本单元电路设计，包括有限域加法器和乘法器，并着重阐述了自然基下常系数并行来法器的实现方法。

Experiments on multiplier tree and adder tree expressions exhibit running time reduction of 83% to 99%, and 40% to 80% respectively.4. Arithmetic unit check with half adder graph technique: Binary Moment Diagram technique has been used in multiplier equivalence checking.

比如针对加法和乘法连续运算的表达式，算法从实现电路中提取变量顺序和结合顺序并加以利用，实验表明，在验证乘法连续运算的表达式时减少了83%～99%的时间，加法连续运算表达式的验证时间也可减少40%～89%。4。

In part two, it goes on four points. 1. Keynesianism used Multiplier theory to demonstrate Foreign trade Multiplier theory which did work on economic growth.

因此，新增长理论不仅提供了贸易促进增长与就业的动态机制，而且还提供了贸易—增长—就业效应的微观基础。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。