加法

Aim In order to prove a semiring whose additive reduct is a semilattice and multiplicative reduct is a inverse semigroup to be a distributive lattice.

摘要目的求证加法导出是半格、乘法导出是逆半群的半环成为分配格的充要条件。

Reactive moments distributed along the clamped edges of a rectangular plate by means of double sine series.

本文提供以双重三角级数解作用于矩形板的固定边的弯矩，以代替通常所用的叠加法。

We develop and apply the Hirota bilinear-θfunction method,Jacobi elliptic function expansion method,linear superposition method and F-expansion method respectively to solve many 2+1 dimensional nonlinear wave models including 2+1 dimensional 2DsG equation,the coupled ZK equation,2+1 dimensional KdV equation,2+1 dimensional long wave short wave resonance interaction equation and 2+1 dimensional dispersive long wave equation,abundant Jacobi elliptic function doubly periodic solutions are derived.These solutions show various periodic wave shapes and special periodic characters.

发展和应用Hirota双线性-θ函数方法，雅克比椭圆函数展开法，线性叠加法，F-函数展开法等分别求解2+1维2DsG方程，耦合ZK方程，2+1维KdV方程，2+1维长波短波共振相互作用方程，2+1维色散长波方程，获得丰富的雅克比椭圆函数双周期波解，描述了一些周期波形态及周期特性。

A new method of finding the points on an elliptic curve by Maple is supplied; Maple is applied to the addition operation, the scalar product operation and the method of seeking the order of a basic point on the elliptic curve are proposed; the applications of Maple on ECC including encryption and decryption are supplied.

利用Maple编程求出椭圆曲线上有理点，用Maple实现椭圆曲线上两点的加法、点的数乘运算及求某个基点阶数的算法，利用Maple实现椭圆曲线密码体制的加密及解密。相比C语言，Maple语言更接近于平时说话的语法。同时，Maple语言可以方便地转化成C语言。

The method this paper discussed was based following theoretic analysis: Square and multiplication of large integer are two basic operations in modular exponential m_ary algorithm. The main operations of m_ary algorithm of point multiplication in elliptic curve encryption were doublings and point addition. The steps of m_ary algorithm in point multiplication was similar to modular exponential.

其基于以下理论分析：模幂m_ary算法的基本运算为大数乘法，其中包括大数平方算法和一般大数乘法；椭圆曲线加密算法中点乘的m_ary算法步骤与模幂的m_ary算法相同，后者的基本运算为倍乘和加法。

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。

There are three usual operations on ordinals : addition, multiplication, and exponentiation.

在序数上有三个常见运算：加法、乘法和指数。

The number of filmgoer keeps reducing in social background, but the filmers manage to make people come back. A hopeful prospect comes out. Good cinema market system is the essential way to resolve the problem of Chinese filmgoer.

第六章：在整个社会系统对中国电影观众进行"减法运算"的同时，电影界也在观念更新和体制改革中大做"加法"，中国电影出现振兴迹象。

Value by a certain fractional number of days, add the fractional number to the date and

2.75 1/1/1900 6：00 pm //如果为正数，那么，要用加法12/30/1899 12：00 am 来计算天数；小时，将是0.75*24=18，也就是下午的6点了

A technique based on lifting scheme is presented to construct the compactly supported wavelets whose coefficients are composed of a free variable. When t=1, the integer wavelets based on lifting scheme only use integral addition and shift, so it's fast and easily realized via hardware.

在理论上，基于提升理论构造了一种包含自由变量t的紧支撑小波，选取参数t=1的9/7整数小波基，只需要整数加法和移位实现，运算量低，便于硬件实现。

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。