整数的

In order to carry out the CAD for double-layer fabric conveniently,the paper proposes mathematical models for designing double cloth in which the face layer and back layer are separated and for binding double cloth with integral matrixes ,which are the basis of fabrics weaves and are structured with the principle of matrix theory.

为便于进行双层组织辅助设计，以织物组织结构为依据，以矩阵理论为基础，提出用整数矩阵设计表里分离的双层织物组织及接结双层织物组织的数学模型，把一个三维结构的双层织物组织简化成一个等效的二维矩阵，为利用计算机进行双层组织的辅助设计奠定了基础。

Firstly establishing mechanical model of casing structure , and then processing casing forces analysis using space finite-element method and superposition method(put structure stress and outer force stress together), it computes the stress of casing in three dimensions, and gets the internal force and transmutation. The structure of casing-coadjutor is computed overlaply and the question of contact is solved. In the aspect of design, it provides the mixed integer-discrete variable optimization method of casing cross section size and coadjutor layout.

本文就上述两个问题的最优化设计展开研究，首先建立了套管结构的力学模型，进行套管的受力分析，用了空间有限元法和叠加法(结构应力和外载应力相叠加)，对套管进行三维计算，确定结构的内力和变形，对套管—扶正器结构进行整体的叠代计算，解决接触问题；在设计方面，提出了解决套管截面尺寸参数和扶正器布局的混合整数—离散变量优化方法。

The algorithm performs discrete cosine transform on sub image of host image, which is cover by visible watermarking, and compresses sub image by select the set of visually important DCT coefficients. Then, the algorithm hides the compressed sub image, which is encrypted by the hash function that is constructed by Rijndael code, in the high coefficient of wavelet domain.

算法将水印图像与宿主图像进行融合，并对隐藏子图采用DCT变换，按Zig_Zag排序保留视觉重要DCT系数的方法作压缩处理，并利用Rijndael密码构造单向Hash函数作加密处理，最终分散嵌入到宿主图像的带参数的整数小波域中的高频系数，实现了可见水印的有效嵌入。

If G is acyclically L-list colorable for any list assignment with |L|≥κfor all v∈V,then G is acyclicallyκ-choosable.The acyclic list chromatic number,denoted byχ_a~l,of a graph G is the smallest integerκsuch that G is acyclicallyκ-choosable.

若对满足|L|≥κ，v∈V的色列表L，G都是无圈L-可染的，那么称G是无圈κ-可选择的。G的无圈列表色数χ_a~l是使得G是无圈κ-可选择的最小的非负整数κ。

An optimization model for combinatorial double auction based on integer programming method is established and transformed into single-sided auction,which will benefit to solve combinatorial double auction with the method used for single-sided auction and to make the problem much more easier.

本文运用整数规划的方法建立了一个组合双向拍卖问题的一般化模型，并通过逐步转化，把组合双向拍卖简化为单边拍卖，有助于利用求解单边拍卖的方法来求解复杂的双向拍卖问题，使这一问题的研究得到了简化。

Let n ≥ 4 be a fixed integer, R be a unital commutative ring of characteristic not 2, and D_n be a D_n-type classical Lie algebra over R.

假设n是一个大于等于4的整数，R是特征非2的有单位元的交换环，D_n是环R上的D_n型李代数，N是D_n的一个极大幂零子代数。

In the more mature areas such as linear programming and unconstrained optimization, and in those of intermediate maturity such as integer and constrained convex optimization, emphasis will be placed on rapid, large-scale computation.

在那些更为成熟的如线性规划和无约束优化等领域和一些不太成熟的如整数和约束优化等领域，研究的重点将被放到快速的，大规模的计算上。

According to the time-parameter analysis of critical path method, a mix-integer programme model of additional resources in project construction has been presented.

根据网络计划技术中的关键线路法CPM的时间参数分析，提出了一个工程项目建设过程中附加资源的混合整数规划模型，使建设项目在充分利用自身已有资源的前提下得到附加租赁机械设备和附加资源的使用安排计划，并使所支付的费用最低。

The symcenter of conoscopic interference pattern is corresponding to vertical incident light and crystal birefractive index is proportional to interference order m. Decimal fraction of interference order m is calculated by the placement of central dark fringe and integer part is ascertained by self-consistent method.

干涉图的对称中心对应于正入射光线，双折射率正比于此点的干涉级m，m的小数部分主要由中央暗条纹的位置决定，m的整数部分由自洽的办法求出。

In the aspect of Opto—electrical signal processing, because the heterodyne interference signal is a high frequency fringe signal, how to measure the phases change of this signal——including the integer part of phases change over 2π and decimal part of phases change within 2π, is a difficult problem in electrical circuit technique.

一方面，该电路能同时测量出相位改变量的2π整数部分和2π以内的小数部分，从而实现了大量程和高精度的统一；另一方面，由于该电路是模拟电路，其最高工作频率可以远大于由数字集成电路组成的条纹计数电路，故在实际应用中，其工作频率的设计范围能够适应较宽的外差干涉差频范围，这就为高速激光外差干涉测量打下了基础。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。