查询词典 algebraic

By introducing the nonlinear complementarity problem function, the Karush-Kuhn-Tucker conditions of OPF model are transformed equivalently into a set of semismooth nonlinear algebraic equations. Then the set of semismooth equations can be solved by a semismooth L-M method based on the subdifferential. The method belongs to Newton-type method. It can ensure the positive defmitiveness of the iterative coefficient matrix by using the L-M parameter, which avoids the ill-conditioning of iterative equations. The method, requiring only the approximate solution of a linear system at each iteration, is quite applicable to the large-scale cases.

在利用非线性互补函数将OPF模型的KKT条件转化为半光滑非线性代数方程组后，采用基于次微分的半光滑L-M法求解，该方法属于牛顿法范畴，可通过对L-M参数的调整保证迭代系数矩阵的正定性，克服了系数矩阵的奇异引起的"病态"，且该方法在确定搜索方向时只需求解线性系统的加热器近似解，适用于大规模系统的求解。

In the POPF model, wind farm is modeled by the probabilistic wind farm model considering the reactive power-slip characteristic, and the inequality constraints include not only the unit output constraints, the ratio constraints, the voltage constraints and the line current constraints but also the reactive compensation capacity constraints in wind farm and the system climbing capacity constraints per minute. By introducing the NCP function, the KKT conditions of POPF system are transformed equivalently. Based on the transformed nonsmooth nonlinear algebraic equations, the FOSMM is used to determine the POPF model expressed by the numerical characteristic of variables. The model includes nonsmooth functions, so it can be solved by a semismooth Newton-type method based on the subdifferential.

概率最优潮流模型中，风电场采用考虑无功功率—滑加热器差特性的风电概率模型，不等式约束中除了机组出力约束、有载调压变压器变比约束、电压约束和支路电流约束，也考虑了风电场无功补偿容量约束、系统的分钟级爬坡能力约束；使用非线性互补函数将概率最优潮流的KKT条件转化为一组包含有不光滑函数的非线性代数方程组，然后基于一次二阶矩法确定了以待求量的数字特征表示的POPF模型，由于该模型包含不光滑函数，因此采用基于次微分的半光滑牛顿型方加热器法求解。

The algebraic proof of this equivalence involves the Cauchy-Binet formula and multi-Schur functions based on the complete super symmetric function.

与此等价的代数证明需要Cauchy-Binet公式和基于超完全对称函数上的multi-Schur函数两方面的知识。

Third,the paper sets up a mathematical model for indirect tax shifting through algebraic method, it concludes a general rule on indirect tax shifting from VAT payers to others, the buyers only takes the full tax burden when there isn't any demand elasticity or full supply elasticity, and the sellers only takes the full tax burden when there is full supply elasticity or no demand elasticity, sellers and buyers share the tax burden respectively, the tax share amount has a straight line dependence to the commodity demand or supply elasticity, the proportion of indirect tax burden of sellers equal to the proportion between demand elasticity and the sum of demand and supply elasticity.

第三，本文用代数推理的办法推导出测算间接税税负转嫁的代数模型，从而得出增值税纳税人间接税税负转嫁的一般规律：销售者和购买者各自负担部分税负，其负担的份额取决于商品供求弹性的对比关系，销售者负担的间接税税负比例等于需求弹性系数占供求弹性系数之和的比例。

Prof. Hsio-Fu Tuan,a member of Academia Sinica and eminent mathematician in China, has made outstanding contributions in the theory of modular representations of finite groups, algebraic Lie algebras and the study of p-groups,especially their "Anzanl" theorems.

从30年代末开始，他在有限P群、有限群模表示论和代数李代数方面做出了一系列重要贡献，得到了被冠以布饶尔－段－斯坦顿原则，布饶尔－段指标块分离原则，布饶尔－段定理等名称的突出成就，在中国开辟了代数群论等研究领域并形成了富有特色的研究群体。

The author deals with algebraic varieties, the corresponding morphisms,the theory of coherent sheaves and, finally, The theory of schemes.

本书结构框架清晰，叙述简明扼要，可以帮助读者在很短的时间内了解并掌握代数几何的精华。

There has beenmany algebraic and physical explanations of the tilde system, but none is satisfactoryenough to be generally accepted yet.

对于此系统的意义众说纷纭，已有多种代数和物理的解释，但都各有欠缺，尚无被广泛接受的说法。

The theory of graphs and relations between the spectra and fixed variate (e.g. chromatic number, degree sequence, diameter and connectivity) of graphs by means of the well-developed theory and technique of algebra, topological structure properties of graph, combination and matrix theories so as to establish firm essential relation between the algebraic properties and topological properties of graphs and networks.

图谱理论的研究主要是利用成熟的代数理论和技巧，并结合图的拓扑结构性质和组合数学的理论、矩阵理论来研究图谱及其与图的结构性质、图的其它不变量(如色数，度序列，直径，连通度等)之间的关系，将图与网络的代数性质与图的拓扑性质紧密地联系在—起。

Based on concepts of relative algebraic interior and relative topological interior of sets,some conditions assuring Ari+Bri in a linear space and conditions assuring riA+Bri in a linear topological space are given respectively,according to Tanaka and Kuroiwa' s conclusions.

根据Tanaka和Kuroiwa的结论，在集合相对代数内部和相对拓扑内部概念的基础上，分别讨论了线性空间中Ari+Bri和线性拓扑空间中riA+Bri成立的条件，从而将Tanaka和Kuroiwa关于内部的结论推广到了相对内部的情形

In this thesis we study largely two problems in the context of the φ-mapping topological current theory proposed by Prof. Yishi Duan, ranging from inner structure of homotopy in algebraic topology to topological excitations in the atomic Bose-Einstein condensates.

本论文在段一士教授提出的φ映射拓扑流理论框架内研究了两个问题：代数拓扑中同伦理论的内部结构，及原子玻色-爱因斯坦凝聚体中的拓扑激发。。。。

Methods: Five patients with parkinsonism or dystonia were assigned to general anesthesia using an modified endotracheal tube.

本实验依照人体实验之相关规定进行，五位患有帕金森氏症或肌张力异常的病人接受神经立体定位手术。

If you can benefit from this book, it is our honour.

如果您能从本书获益，这将是我们的荣幸。