查询词典 algebraic adjunction

Software Description: About AlgeBasics, Teach and learn the basics of algebra including the addition, subtraction, multiplication and division of algebraic terms, order of calculations, simple indices and removal of brackets.

AlgeBasics 教授和学习包括加，减，乘和除代数术语，计算顺序，简单的指数和括号消除在内的基础代数学。

David Eisenbud, Commutative Algebra with a view toward Algebraic Geometry

高级的代数几何、交换代数的参考书，最新的交换代数全面参考

Liber Abaci emphasizes summed-up algorithm, but does not pay attention to the form of propositions derived, and it mainly reflects the tendency of practical algorithms, such as principal method from India and the algebraic knowledge from the Arab. In Liber Abaci it is found some problems similar to ancient Chinese mathematics like pursuit problems, drainage problems, business problems, hundred fowls problems, remainder problems, indeterminate problems, as well as some Algorithm—fraction addition and subtraction,the compound rule of three, the method Elchataym and the method of Excess and Deficit, and so on.

在系统梳理《计算之书》数学内容过程中，笔者发现《计算之书》中存有与中国古代数学中相似的实用算题，如：追及问题、排水问题、经商问题、百鸡问题、剩余问题、不定问题等，以及和中算一致的算法：分数算法、多率法和重今有术、第二类&Elchataym算法&和盈不足术等。

A power pool transaction mode based on real-time congestion management model is proposed, in which the congestion management based on the market participants' adjusting biddings is described as an algebraic nonlinear programming.

作者提出了实时电力市场中基于调整报价的计及可中断负荷的阻塞管理模型，该模型将电力市场下的实时阻塞管理问题描述为调整费用最小的非线性规划问题，其特点是方法简单可靠。

Complementary chaos and spin polarization stability in cyclotrons are studied from the nonautonomous SU(2) dynamical system by the algebraic dynamical method.

带自旋离子在加速器中沿回路运行，相对于磁极运动的粒子会感受到一个磁极产生的随时间变化的磁场。

We also discuss the various algebraic properties of fuzzy digraphs.

我们讨论了迷离有向图形的各种代数性质，然后定义一个集合的较佳迷离有向图形。

And trust region type algorithm with memoryless technology not only satisfies new factorized quasi-Newton equation, but also saves much storage and algebraic operations than the original factorized quasi-Newton methods.we prove it posses the global convergence and the local superlinear convergence under some condition.

本文中利用无记忆技术产生的无记忆型信赖域算法不仅满足新分解牛顿方程，具有其所有的良好性质，而且比一般的分裂拟牛顿法节省存储空间，减少计算量。本文证明了在一定假设条件下该算法具有全局收敛性及局部超线性收敛性。

The simple algebraic procedure is used to form nearly orthogonal 2—D C—type and H—type bodyfitted grids for bodies of revolution, which is then used to generate 3—D C—O and H—O bodyfitted grids for fuselages.

五、用简单的代数方法生成了近于正交的旋成体子午面&C&型及&H&型贴体坐标网格，并以此为基础构造了三维任意截面机身的&C-O&型及&H-O&型贴体坐标网格。

While awaiting its publication in book form, a provisional edition of 200 preprints has been sent to mathematical colleagues, especially algebraic geometers (who now do me the honor of remembering me).

在企待该回忆录最终印刷成书出版以前，两百本暂定版的预印本已在我的数学同行中散发，尤其是在那些代数几何学家之间，他们最近正在为我筹办庆祝纪念活动。

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 dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。