整数的

Secondly, the difference of two Gaussians receptive field between fractional and integral differential of digital image was discussed in view of signal processing and biologic vision nerve model respectively.

计算机数值实验结果表明，对于纹理细节信息丰富的图像信号而言，分数阶微分对灰度变化不大的平滑区域中的纹理细节信息的增强效果明显优于整数阶微分运算。

In a representation of a number expressed in a radix numeration system, the location of the separation of the characters associated with the integral part from those associated with the fractional part.

在按基数记数制所表示的数码中指定的位置，它把数的整数部分和小数部分的有关字符分开。

According to the Galois extension theory of the number field,the discriminant of the field and the integral basis theory,the necessary and sufficient condition is attained which is m≡n≡1(mod4),where m and n are two different rational integers without square factors.

四次域是重要的Galois数域之一，该文对四次域Q进行了讨论；利用Galois扩张、域的判别式及整基等一些理论，得出了其具有正规整基的充要条件为m≡n≡1(mod4)(其中m，n是2个不同的无平方因子有理整数)。

The whole process is discontinous and can be thought of as finding the grid points on a specified region of the X-Y plane (Think of marking all integer interception points on a paper). Convert each grid point's X and Y coordinate to exponential values (like 2^x, 2^y) then we can use them as value of cost and gamme for cross validation.

这个过程是不连续的成长，所以可以想成我们在一个 X-Y 平面上指定的范围内找一群格子点(grid，如果你不太明白，想成方格纸或我们把平面上所有整数交点都打个点，就是那样)，每个格子点的 X 跟 Y 经过换算(如 2^x， 2^y)就拿去当 cost 跟 gamma 的值来 cross validation。

The whole process is discontinous and can be imagined as finding grid points on a specified region of X-Y plane (Think of marking all interger interception points on a paper). Convert each grid point's X and Y coordinate to expontntial values (like 2^x, 2^y) then we can use them as value of cost and gamme for cross validation.

这个过程是不连续的成长，所以可以想成我们在一个 X-Y 平面上指定的范围内找一群格子点(grid，如果你不太明白，想成方格纸或我们把平面上所有整数交点都打个点，就是那样)，每个格子点的 X 跟 Y 经过换算(如 2^x， 2^y)就拿去当 cost 跟 gamma 的值来 cross validation。

In this paper, the following statements were proved: is chaintransitive if and only if is chaintransitive; if a homeomorphism is a Lipschitz map, then has the average shadowing property if and only if has the average shadowing property.

设是紧致度量空间，：X→X是连续的，n为任一给定的正整数，证明了：是链可迁的当且仅当是链可迁的；若同胚是Lipschitz映射，则有平均跟踪性当且仅当有平均跟踪性。

However the calculation of invariants for coloured Petri nets is a hard work because the elements of coloured incidence matrix are not integers, but functions instead.

但是，着色Petri网的不变量求解却是一项非常困难的工作，因为它的关联矩阵的元素不再是整数而是函数。

The words can be identified by their positions in this vector – the integer index of a word is its "address".

这个向量中的字由它们的位置来识别，而一个字的整数索引号就是这个字的"地址"。

The other classfies the calculation of MBPS into the solution of inequation based on heuristic knowledge of MBPS of optimal directional coordination setting in complex multiloop network and comes into equivalence of 0-1 integral second layout problem. On the basis of the principle of Gene Optimal Evolution, a new approach to determine MBPS is first presented and decreases the computational complexity of MBPS problem.

其二，利用复杂环网方向保护最优整定配合中最小断点集的启发知识，将MBPS的计算归结为解不等式，进而等价为0—1整数二次规划问题，基于基因遗传优化计算原理，首次提出了MBPS问题的基因遗传算法，降低了问题的计算复杂性。

The basical understand of fraction is based on and extended from integral number .

对分数的初步认识是在整数基础上进行的，是数的概念的一次扩展。

This paper discusses design and realizable methods of remote test output interface from logical design angle.

本文从逻辑设计的角度讨论遥测输出接口的设计及实现方法。

This also 星体投射plies to buildings, structures and geological features.

这也适用于建筑物和地质特征。