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The mathematical model of complex countercurrent multi-effect evaporation with condensed water flash is established, which aims at minimum annual cost (including cost of fresh vapor, vacuum pump power, evaporator, maintenance and depreciation).Based on such decisive variables as the pressure of fresh vapor, the pressure of condenser and heat-transfer mean temperature difference of vari-effect,the model is solved by the complex method,Lagrangian multiplier method, iteration method and matrix method.The practical example indicates that the influence of the pressure of fresh vapor, the pressure of condenser and flash of condensed water on the optimum design results is notable.

建立了带有冷凝水闪蒸的复杂逆流多效蒸发系统优化设计的数学模型，该模型以整个蒸发系统的年总费用(包括加热蒸汽年费用、真空泵年动力费用以及蒸发器和辅助设备的年折旧维修费用等)最小为优化目标，以生蒸汽压力、冷凝器真空度及各效有效传热温度差为决策变量，提出一种新算法———复合形法结合Lagrangian乘子法、迭代法和矩阵法求解模型。

The proposition and research of the hybrid system provide a good tool to describe both the coupling of characters of continuous and discrete dynamics and the complex dynamics phenomenon of the coupling and to understand some complex phenomenon in nature and society.

混合系统的提出与深入研究，为刻画连续与离散动力学特性两者间的耦合及其产生的复杂的动力学现象、为人们理解自然和社会的一些复杂现象提供了一种有力的工具。

Results and Conclusion When the workpiece is of little elastic deformation, the discretization approach as proposed in this paper is appli- cable not only to the mathematical modeling for thread-cutting process, but to the modeling for processing simple workpiece by using complex cutter, and processing complex workpiece by using simple cutter.

结果和结论作者提出的离散化思路在工件弹性变形不大时，不仅适用于螺纹切削过程的数学建模，亦适用于其它复杂形状刀具加工简单形状工件和用简单形状刀具加工复杂形状工件时的数学建模。

Aim To exlore the method for describing cutter and workpiece, and the method for recording the shape and parameters of the cutting layer when complex workpiece is processed by using complex cutter, and to establish the math- ematical model for thread-cutting process.

摘 要：目的为了建立螺纹切削过程的数学模型，研究用复杂形状刀具加工复杂形状工件时，刀具和工件的描述方法以及切削层参数和形状的记录方法。

The crawler and swing arm both are driven by DC servo motor directly, the complex driving devices are eliminated, swing arm drive DC servo motor is installed in the interior of driven wheel and swing arm wheel; it ensures robot has high maneuverability and strong over-obstacle capability, at the same time it overcomes the disadvantages of traditional drive and transmission system, such as a lot of elements, complex structure and low efficiency, it reduces energy consumption, saves interior space, reduces overall weight, increases the work reliability and running stability of robot and provides new design programs and new technology channels for small-sized crawler ground movable robot drive device.

机器人的履带和摆臂均由直流伺服电机直接驱动，省去了复杂的传动机构，摆臂驱动直流伺服电机则安装在从动轮和摆臂轮内部，在保证机器人具有高机动性和强越障力的同时，克服了传统驱动、传动系统零件众多、结构复杂、效率低下的缺点，降低了系统能耗，节省了内部空间，减轻了整体重量，提高了机器人的工作可靠性和行驶稳定性，为小型履带式地面移动机器人驱动装置提供了新的设计方案和新的技术途径。

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汽泡膜/汽泡袋全系列：单/双面普通汽泡袋、防静电汽泡袋、环保光化料汽泡膜/汽泡袋、大/中/小泡泡汽泡袋（直径5MM/10MM/25MM/30MM）、复黑色导电膜汽泡袋、汽泡膜覆合珍珠棉、镀膜汽泡膜以及各种颜色各种规格的加厚、加硬汽泡袋、单/双面复合铝箔汽泡卷、复合彩色铝膜汽泡信封袋、单/双面双层复铝箔汽泡卷、复铝膜红色防静电汽泡袋、单/双面复合镭射膜汽泡卷、单/双面汽泡袋、加厚环保汽泡袋、复铝膜汽泡袋、复奶膜汽汽泡信封袋、高档牛皮纸汽泡信封袋、复合各种特殊膜汽泡袋、印刷汽泡袋、各种特殊汽泡袋。

Spline Broach complexity of the design process, the geometric parameters, many of which need to look-up table and complex calculation to determine the parameters of a certain size, Design Spline Broach all forms and formulas into C language are procedures, through a simple C program calls, importation Spline Broach the technical parameters can be accurately its design parameters, Finally, all the parameters of integrated print out data tables, thus simplifying the complex Spline Broach design process, and meet the design requirements.

花键拉刀设计过程复杂，几何参数多，许多都需要查表和复杂的计算来确定某一参数尺寸，把花键拉刀设计中所有表格和计算公式都编成C语言程序，通过简单的C程序调用，输入花键拉刀的技术参数就可以准确得到其设计参数，最后把所有的参数值综合打印出数据表格，从而简化了复杂的花键拉刀设计过程，且达到了设计的要求。

Spline Broach complexity of the design process, the geometric parameters, many of which need to look-up table and complex calculation to determine the parameters of a certain size, Design Spline Broach all forms and formulas into C language are procedures, through a simple C program calls, importation Spline Broach the technical parameters can be accurately its design parameters, Finally, all the parameters of integrated print out data tables, thus simplifying the complex Spline Broach design process, and meet the design requirements.

花键拉刀设计过程复杂，几何参数多，许多都需要查表和复杂的计算来确定某1参数尺寸，把花键拉刀设计中所有表格和计算公式都编成C语言程序，通过简单的C程序调用，输入花键拉刀的技术参数就可以准确得到其设计参数，最后把所有的参数值综合打印出数据表格，从而简化了复杂的花键拉刀设计过程，且达到了设计的要求。

At the same time its drawbacks are: material quality, complex, high precision manufacturing, more difficult to install, design complex calculations than the average speed reducer.

同时它的缺点是：材料优质、结构复杂、制造精度要求较高、安装较困难些、设计计算也较一般减速器复杂。

The factorization of a complex skew-symmetric normal matrix ,which is similar to a complex symmetric normal matrix ,was demonstrated using a logically similar method.

提出一个复矩阵是对称酉矩阵的充要条件，并用逻辑上类似的方法证明一个类似于复对称正规矩阵的复斜对称正规矩阵的分解，最后对复斜对称矩阵得到了类似于复对称矩阵Takagi分解的结论。

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。