简捷

The application of homogeneous coordinates in the analysis of complex spatial mechanism is presented.

介绍一种用于复杂空间机构分析的简捷而有效的数学方法———齐次坐标及其变换，阐述了齐次坐标的定义、性质及坐标变换。

A method of constructing the basic set of solutions of a system of homogeneous constant-coefficient differential equations is introduced.

介绍构造常系数齐线性微分方程组的基本解组的一种方法，并把这种方法进行改进，使求解更为简捷。

The hypersurface expression and the way of hypersurface obtained by support vector machine are given. The method is applied to the support of Air Force air materiel, and the result shows that more simple decision rules can be obtained.

文中提出了一种超曲面的离散化方法，给出了超曲面的表示方法，提出了基于支持向量机的超曲面寻优，并将这种方法应用于空军器材保障中，仿真结果表明，提出的超曲面方法可以获得更为简捷的决策规则。

Limited features in advantages of low heat conduction coefficent, favorable silence effect, incombustibility innoxiousness, corrosion-resistance, aging-resistance, easy installation, light weight, good heat preservation and long lifetime compared with other types heat preservation wind pipes, and is widely applied in industrial and civil center air conditioning area.

上海唐博复合风管有限公司生产的TB系列复合玻纤风管，与其他保温风管材料相比，具有导热系数低、消音效果好、不燃、无毒、耐腐蚀、不易老化、安装简捷、重量轻、保温性能好、寿命长等一系列优点，在工业及民用等中央空调领域中正受到广泛应用。

In the recent years , network has been infiltrated into human beings lives because of its convenience and inexpensiveness , and has become an important method of communication .

近年来，网络以其简捷，方便以及费用低廉等优点，已经越来越深入地渗透到人们的生活中，成为信息交流的重要手段。

By means of traditional criterions of generalized integral's convergence and divergence, this paper, from the analysis of integrated function's nature, discovers a series of new criterions, which are briefer and more suitable: on the aspect of generalized integral for functions of a single variable, through the investigation of integrated function, together with the inner relationship between positive series and generalized integral in infinite interval under the condition of positive function, it gives several criterions of generalized integral's convergence and divergence, which are similar to positive series' criterions of convergence and divergence.

本文从分析被积函数本身所具的性质出发，借助传统的广义积分敛散性判别方法，发现1系列更简捷适用的新判别方法：单变量函数广义积分方面，通过考察被积函数，结合正项级数与正函数情形下无穷区间上广义积分的内在联系，给出了几个与正项级数敛散性判别法相类似的广义积分敛散性判别方法；多变量函数广义积分方面，着重讨论了广义2重积分和广义3重积分，结合被积函数的特点，运用比较判别法和柯西判别法，本文给出了判别广义2重积分收敛的1种新方法。

The inverse polynomial and the invertible affine transformation exist by the finite field, linear algebra and matrix theory. The invertible affine transformation and the inversion in are easily realized by using lookup table. An algorithm can be used to get the inverse element of modulo .

本文运用有限域、线性代数和矩阵理论，论证了逆多项式和逆仿射的存在性，并且应用查表法简捷地实现了中元素的求逆和逆仿射变换；设计了一个易于在在计算机上实现的算法，来求形如的多项式模时的逆元，该多项式的系数在上。

It mainly displays and turns the abstract quantitative relation into the appropriate geometric figure , find connection that exist under quantity from ocular characteristic of figure, so as to take , embarrass easy abbreviating , it melts latently to be an apparent purpose, make the problem be solved simple and directly .

它主要表现在把抽象的数量关系，转化为适当的几何图形，从图形的直观特征发现数量之间存在的联系，以达到化难为易、化繁为简、化隐为显的目的，使问题简捷地得以解决。

In this paper a method of predicting the life of an oil-free piston ring was given, and results revealed that the deviations of the predicted life and real life were all less than5%.

提出了一种简捷有效的无油润滑压缩机活塞环寿命的预测方法，结果表明预测结果和实际的偏差均在5%内。

In this paper is presented an easy operator method for the special solution of the system of non-homogeneous linear differential equations with constant coefficient.

提出求非齐次常系数线性微分方程特解的一种简捷方法──算子解法，并且总结出运用此解法常用的7个计算公式

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。