查询词典 modular arithmetic

using the c language programming to be in progress when secretly scheming against often may produce problem because of not paying attention to a type change , when using the division arithmetic magic figure especially, change , lead to thereby arithmetic result block of wood rightness or insufficient problems of accuracy often because of not paying attention to the arithmetic data type.

使用c语言编程进行计算的时候常常会因为不注意类型转换产生问题，尤其是在使用除法运算符"/"的时候，经常因为没有注意运算数据类型转换，从而导致运算结果不正确或着说是精度不够的问题。

First the math theory of machining simulation is studied, and the set structure of NC machining simulation system whose components, including time, input, output and so on, are defined. Hereby we set up the hierarchy structure, the logical structure, the static model and the dynamic model of simulation system. The construction method of sweep entity of cutter and rotation parts is researched, and their differential geometry invariants are calculated. NC code is unscrambled, and the recursion division arithmetic of time segment is put forward, which is the driven data of the movement or rotation parts. The CLDATA should be interference-free. To examine if there is interference between cutter flank and the work piece, an arithmetic that discussed the existence of intersecting curve between them is put forward. To examine if there is interference between two turrets, an arithmetic that discussed the existence of intersection set between two polygons is put forward.

首先研究加工过程仿真的数学基础，然后定义数控加工仿真系统的集合结构及时间集、输入集、输出集等概念，建立加工仿真的层次结构和逻辑结构，阐述双刀车削仿真系统的静态模型和动态模型建立方法，分析刀具扫描体和旋转部件扫描体的建立方法及其微分几何性质；研究NC代码解读技术和双刀加工时间段递归子分划技术，为驱动各仿真单元作数据准备；通过讨论后刀面和工件表面交线的存在性判断刀具后刀面与工件间是否干涉，通过求多边形的交集判断刀架与刀架是否干涉。

The disquisition brings forward three principle in combination arithmetic designing and combination arithmetic choice. There is currency, countability and less information redundancy. And the disquisition analyses the relation of them. The three principle is the dominant ideology in combination arithmetic designing.

组合算法的选择与应用组合算法评价依据复杂性选择应用本文提出了在组合算法设计和组合算法选择方面所应当遵循的三个原则，即通用性、可计算性和较少的信息冗余量，并初步分析了它们之间的相互关系。

The arithmetic of incidence matrix is an arithmetic obtained by studying adjacency matrix and the relationship of tree and incidence matrix to get an new arithmetic of finding the maximum matching of tree.

通过邻接矩阵的方法得到一种去边法求树的最大匹配的算法；并通过图与其关联矩阵的关系，寻找到求树的最大匹配的一个新算法，称为关联矩阵法。

The fourth had reading, writing, dictation and elementary arithmetic; the third, reading, grammar, arithmetic and geography; the second, reading and grammar, arithmetic, algebra through simple equations, and geography with map-drawing; and the first finished Loomis' Treatise on Algebra, studied four books of Loomis' Geometry, and parts of Swinton's Universal History and read selections from Addison.

第四班级授以阅读、写作、听写与初级算术，三班授以阅读、语法、算术与地理，二班为阅读、语法、算术、线性代数及绘图地理，一班则为卢米兹代数终论，卢米兹几何四部，史云顿寰宇历史，及阿狄森（Joseph Addison十八世纪英国著名作家）文选。

The arithmetic of the subtraction is based on the serial arithmetic. It can entirely enumerate every pair of subtrahend on a bit, and it also calculates two possible loaning carry values on each bit. So the subtraction can be operated through automatic selection, and complete collateral subtraction and carry operation. The method of single division is same to it. With the stenography of shifengshou we can solve the complex division. We put the formula and the technique into the DNA model to get the result. The methods all make the step decrease and change the conventional arithmetic.

减法的DNA 算法理论主要是来源于串行思路中的算法，它是将每一位上的两个减数对的所有可能进行全列举，同时考虑每一位上的两种借位信息，使得运算进行自动选择，一步即可得到最终结果的算法；除法中一位数除多位数的算法还是从我们平时所进行的串行运算中得到启发而设计的算法；而除法的多位计算思路则来源于史丰收速算法，将算法中的口诀及技巧应用到DNA 链当中，使得传统中的代数运算能够并行的得到最终的结果，这三种算法的设计都使得计算步骤减少，从根本上改变了算法的运算机制。

This paper first elaborated the principle of SINS, some interrelated information,and the affect of renewed arithmetic to the system"s precision. Then, we studied thequaternion in traditional renewed attitude arithmetic. The quaternion is simple, andwhen run it into computer, it"s time saving. So, this arithmetic is often adopted byengineering. However, the quaternion brought unexchangeable error inevitably. Whenthe carrying body moves in highly dynamic situation, the error would become larger.So we should take effective measure to get over it.

本文首先论述了捷联式惯性导航系统的工作原理及相关知识，捷联惯导系统姿态更新算法对系统精度的影响；其次研究了传统的姿态更新算法中四元数法，该算法简单，计算量小，因而在工程中经常被采用，但是在四元数法中不可避免的引入了不可交换性误差，特别是在载体处于高动态环境时，这种误差就会很大，必须采取有效措施加以克服。

Vector to raster: Inside point diffuse method, diffuse from internal seeds within polygon to neighbor points, as far as to the boundary of polygon; Pluralism integral arithmetic, according to the close boundary of polygon, makes uncertain point calculate pluralism integral; Radial and scanning arithmetic, from a uncertain point which located outside of the figure to draw radial, according to the junction of radial and polygon to judge the internal and outside relationship; Boundary algebra filling, a vector convert to raster arithmetic which based on integral thought, suit for polygon vector convert which recorded topological relationship.

矢量转栅格：内部点扩散法，即由多边形内部种子点向周围邻点扩散，直至到达各边界为止；复数积分算法，即由待判别点对多边形的封闭边界计算复数积分，来判断两者关系；射线算法和扫描算法，即由图外某点向待判点引射线，通过射线与多边形边界交点数来判断内外关系；边界代数算法，是一种基于积分思想的矢量转栅格算法，适合于记

General arithmetic frameworks of crop simulation model can be systemically classified by the crop variety, and then on the base of crops" general physiological-ecological process, it is divided into five modules. We synthetically epurate general arithmetic frameworks, covering crops" main dynamics of growth process, such as plant development stage and phenophase, photosynthesis, respiration, dry matter accumulation and partitioning , LAI, yield formation, et al, and introduce parameters to build different crops growth simulation general arithmetic.

根据作物的不同类型，对国内外作物生长模拟模型进行系统分类，再以作物的一般生理生态规律为基础，将作物生长模型划分成五大组成模块，通过系统地分析、综合，提炼作物生长模拟通用算法框架，涵盖了作物阶段发育和物候期、光合作用、呼吸作用、干物质积累和分配、叶面积指数、产量形成等主要的生长动态过程，并采用参数化建立了不同作物的生长模拟模型通用算法。

It\s needed to do more data processing such as inside and outside boundaries recognition, facular radius compensation, scanning and path planning to generate process control data. The STL file should be translated into CLI file, then into SMP file. In order to satisfy with the request of initial system, I inject some new arithmetic in the transformation, including inside and outside arithmetic and processing compensation arithmetic.

从三维建模到切片处理，再到扫描处理，最后得到层片的扫描路径文件，其中需要对截面轮廓进行诸如内外轮廓识别、工艺补偿、扫描及加工路径规划等一系列的工艺数据处理，文件的转化过程为从 STL 文件到层片文件，再到加工路径文件，为了满足制作化学芯片的一些特殊要求，在转化过程中加入了一些新的算法，内外边界识别算法和工艺补偿算法。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。