表示式

In the linear algebraic the coefficient of polynomial and the corresponding relation of the farmnla of multi-line matrix could be built,thus seck the maximum common factor of the polynomial through making use of primary transformation of line.

在线性代数中，可以建立多项式的系数与多行矩阵表示式之间的对应关系，从而利用初等行变换求多项式的最大公因式。

Finally, we give some conjectures which could be used to obtain the closed-form expression for the asymptotic construction efficiency.

最后我们提出一些猜测可用来获得渐近建造效率的数学表示式。

In this paper we will use the concept of "mutual opposite form" to simultaneously recode two scalars stating at most significant bit to least significant bit, i.e. left-to-right recoding. We propose a new representation with low joint Hamming weight to reduce the number of elliptic curve point additions to achieve decreasing the operation cost.

本文将透过符号交替表示式，针对两纯量从最高有效位元(most significant bit， MSB)编码至最低有效位元(least significant bit， LSB)以同步的方式重新编码，新的表示式具有低结合汉明权重特性，可以减少椭圆曲线点加法运算次数，达到降低运算成本的目的。

Firstly,the differential equation with parameters is given,at the same time,in order to let the truncation error of differential equation reach O(Δt~2+Δx~4) as high as possible,the method of undetermined coefficent is used to appropriately select the expression of these parameters.Secondly,the stability condition of the scheme derived is given by using the Fourier method of stability analysi...

首先给出了含参变量的差分方程，并用待定系数法适当地选取了这些参数的表示式，以使差分方程的截断误差阶尽可能高地达到了O(Δt2+Δx4)；其次用稳定性分析的Fourier方法给出了所得格式的稳定性条件；然后给出了确定差分格式中参数的两种方法，得到了一个稳定性条件为r/3的分支稳定的高精度显式差分格式；最后给出了数值例子，数值结果表明了本文格式较现有同类格式的优越性和理论分析的正确性。

It includes the definition of two basic operations, logical functions expansion and matrix formulation in OR-Coincidence algebra system, and the introduction of map expression--dj map, the complete research of the relations among CRM expansion^ maxteim expansion and RM expansion, iiamely tie relations among dj map, K-map and bj map, also includes the minimization of CRM expansion in fixed and mixed polarities-Meanwhile this dissertation points out the form and properties of basic symmetric function, simple symmetric function and basic CRM symmetric function in OR-Coincidence algebra system, discusses the relations and transform methods among the coefficients of the three kinds of symmetric functions.

包括连和与加合两种基本运算的定义，逻辑函数在或、符合代数系统里的展开式及矩阵表示式，展开式图形表示--d_i图的引入，对CRM展开式和最大项展开式、RM展开式，d_i图和K图、b_i图之间的关系及转换方法进行了较为全面的研究，以及CRM展开式在固定极性和混合极性下的最小化问题。

The residual gas pressure in an electron tube can be measured when the tube itself is operated as a hot cathode ionization gauge.Usually,its sensitivity K is determined by the method of gauge calibration.In this paper,author try to determine the sensitivity K by ca- lculation.The formulae for this purpose have be found out,and are used for both plate and cylindrical electrode systems.

把电子管接成热阴极电离计的工作形式，用来测量管内残气压强时，其灵敏度如何计算的问题在本文中作了讨论，给出了平板形电极系统和圆柱形电极系统的灵敏度解析式，对式中各量的计算作了详细介绍；并指出四极管中电子在电离区的平均渡越次数的表示式与三极管中的完全不同。

The purpose of this paper is to give a simple formula to the integral on major arcs of the circle method in the even Goldbach problem.

给出圆法在Goldbach问题应用中优弧上积分的一个简化表示式，这个表示式是进一步研究偶数Goldbach问题的基础。

It shows that the primary term is identical with the formula for area of plane triangle by rectangular coordinate in three angular points,while the expression of remainder terms also has a rule to follow in form.

公式表明，主项的表示式与按平面坐标求面积的计算式完全一致，而附加项的表示式亦有规律可循。

The formula for area of ellipsoidal triangle on earth ellipsoid by means of geodesic coordinate is derived in this paper. It is showed that the primary term is identical with the formula for area of plane triangle by planimetric rectangular coordinate in three angular point, while the expression of remainder terms has also regularity of its form. The presented formula can be applicable also to convex polygon on earth ellipsoid.

本文推导出用三顶点的测地坐标计算地球椭球面上三角形面积的公式，公式表明，其主项的表示式与按平面坐标求面积的计算式完全一致，而附加项的表示式亦有规律可循，因此该公式的适用范围可由椭球面三角形推广至椭球面上任意凸多边形。

It is shown also that the propagation of the soliton with an order of amplitude of picosecond width is hardly to produce stimulated Raman amplification, but the soliton with narrower width (generally, smaller than few picoseconds) is better synchronous with Raman wave, and the stimulated Raman amplification can be produced easily.

在相位交调、光纤损耗和脉冲走离并存的情况下，论文详细讨论了基态孤子传输中的喇曼波产生，得到了相位交调导致喇曼波辅加周期放大的结论，并首次给出了辅加放大因子和放大周期的表示式，同时首次给出了由于孤子光纤损耗导致的最大放大距离的表示式。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。