内乘

Commendatore Beninobenone having been extricated from underneath the presidential armchair, it was explained by his legal adviser Avvocato Pagamimi that the various articles secreted in his thirtytwo pockets had been abstracted by him during the affray from the pockets of his junior colleagues in the hope of bringing them to their senses.

人人欢迎九尺汉子这个随机应变的建议，全场一致通过。绿宝石岛之友个个都向麦克法登巡警衷心表示谢忱，而其中几个正大量淌着血。骑士团司令官贝尼诺贝诺内被人从大会主席的扶手椅底下解救出来，然后他的法律顾问帕格米米律师解释说，藏在他那三十二个兜里的形形色色的物品，都是他乘乱从资历较浅的同僚兜里掏出来的，以促使他们恢复理智。

In vehicle design, we consider reduction of wind resistance coefficient, and optimize tire and engine deadener design, which reduce noise considerable for passengers in car.

4.3.3在车身设计中，注意降低风阻系数，以降低噪声污染，加上优化的轮胎和发动机舱的隔音设计，使传递到乘客舱内的噪声大大降低。

Finally, we prove that every Jordan derivable mapping at zero point on B is the sum of an inner derivation and a scalar multiplies identity mapping.

最后我们证明了B上的在零点Jordan可导的线性映射是一内导子与数乘恒等映射之和。

A dot chart is superimposed on a scale cross-section drawn through the mass; the number of dots which fall within the mass outline multiplied by the anomalous density is proportional to the gravity effect at the origin of the chart.

布点图叠加在由质量绘制而成的相似比例横剖面上；落在质量略图内的点的个数乘于异常密度正比于原图中的重力效应。

Double-precision floating number operation was adopted in calculating flowmete and the hardware multiplier embedded in MSP430F149 was used in the program which enhanced the operation precision and speed.

采用双精度浮点数进行流量运算，并在程序中使用MSP430F149内置的硬件乘法器，提高了运算精度与运算速度。

This study focuses on the chain for the multi-speed bicycle. Design space for the freewheel on bicycle is limited by frame, riding posture, etc. However, the number of gear ratios in this design space increased with added more sprockets are the trend on the bicycles.

本论文主要研究对象为自行车上传动系统中的链条元件，由於自行车飞轮受到车架、骑乘姿势所形成的空间限制，必须在有限空间内增加飞轮片数增加齿数比，达到变速换档的舒适性。

Then we present the hardware design of RS(255,247) encoding and decoding, including the multiplier in Galois field, the circuit for solving syndromes matrix, the circuit of Berlekamp arithmetic and so on. The use of streamline technology in the design of FPGA improved the efficiency of encode and decode system greatly.

接下来讨论了RS(255，247)编码过程和解码过程的硬件设计，包括伽罗瓦域内的乘法器设计，伴随式求解电路，Berlekamp算法电路等，在FPGA的设计过程中充分使用流水线技术，使整个编码和译码系统的效率有很大的提升。

In order to reasonably depict four basic problems with friction, one Coulomb friction new form in first Kirchhoff stress is proposed to deal with finite deformation problems, other Coulomb friction form in incremental mode to elastoplastic flow theory; Hilbert function spaces concerning elastoplastical problems with friction are established, so it makes all operations and calculations in the treatise standardized within the scope of reasonably topologic structure; In view of functional extremum, the equivalence between generalized variational inequalities principles in elastoplasticity with friction and corresponding basic problems are testified by inducing Lagrangian multipliers, so it provides a rationally theoretical basis for numerical methods in elastoplasticity with friction; From the viewpoint of variational inequality, the theory of generalized variational inequalities in elasticity and elastoplasticity with frictional constraint is studied, and the uniqueness and existence of the solution of FEM is proofed under the proposed conditions of stress compatibility, and them FEM approximation and a discrete solution are discussed; Based on the principles of generalized variational inequalities in elastoplasticity with friction, direct generalized variational inequalities methods is pretended, which is a natural generalization and development of direct variational methods; Using generalized variational inequalities methods, some examples in metal forming including plane deformation, upset and extrusion are analyzed and the results prove that all the theories and methods in the paper are right, feasible, accurate and advanced.

主要内容有：为了合理地描述金属塑性成形中摩擦约束弹性、弹塑性基本问题，提出和研究了有限变形下以Kirchhoff第一应力表示的Coulomb摩擦定律形式和弹塑性流动理论下以增量形式表示的Coulomb摩擦定律表示形式；系统建立了摩擦约束弹塑性问题的Hilbert函数空间，使本文规范在一个具有合理的代数拓扑结构内进行一切操作和运算；利用Lagrange乘子，从泛函极值的角度系统地阐述和论证了一系列摩擦约束弹性、弹塑性广义变分不等原理与相应的实际问题之间的等价性，它为处理摩擦约束的弹塑性力学数值方法提供了合理的理论基础；从变分不等式的角度出发，阐述了对应于摩擦约束弹性、弹塑性问题的广义变分不等式理论，首次提出了在应力相容性条件下，它的有限元解具有存在唯一性，进而讨论了其有限元近似及离散解法；基于摩擦约束弹塑性广义变分不等式原理，首次提出了直接广义变分不等式方法，这一方法是直接变分法的合理推广和发展；利用直接广义变分不等式方法对金属压力加工中的平面变形问题、镦粗、挤压等塑性成形问题进行了分析计算，验证了该理论和数值算法的正确性、实用性、精确性和优越性。

It is proved that every Lie derivation of nest algebra is the sum of an associative derivation and a general trace. Every Lie isomorphism between nest subalgebras of a factor von Neumann algebra is the sum of an isomorphism and a general trace or the sum of a negative anti-isomorphism and a general trace. Lie invariant subspace of linear mappings on Banach algebras is introduced, and linear maps from nest subalgebra of a factor von Neumann algebra into itself which satisfy the property that the space of derivations is their Lie invariant subspaces are characterized. Simultaneously, it is shown that such maps are Lie derivations modulo the set of scalar multiple of the identity.

得到Lie导子的特征表示，即套代数上的任何一个Lie导子都是内导子与广义迹之和；给出了Lie同构和同构及反同构之间的关系，即因子von Neumann代数中套子代数之间的任何一个Lie同构要么是同构与广义迹之和要么是负反同构与广义迹之和；引入了Banach代数上线性映射的Lie不变子空间，并给出von Neumann代数中套子代数上以导子空间为Lie不变子空间的线性映射的一个刻画，同时也表明在模去数乘恒等映射的意义下，以导子空间为Lie不变子空间的线性映射就是Lie导子。

When the factor to be cancelled is a base vector, we dot -multiply by another base vector to produce a kronecker delta

当要消去的因子是一个基矢量时，用另一个基矢量来点乘，以得到克罗内克尔记号。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。