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On the whole, we do as follows: Firstly, we list some conceptions and lemmas for later use. Secondly, we inducted the absolute value norm in the two-dimensional vector interspace, and also proved the two-dimensional vector interspace is a Banach Interspace. Thirdly, we define two-dimensional vector-valued functions on a interval by the definition of -fine partitions in part 1. Then, some sufficient and necessary conditions of integrabel are given, and discuss the property of the integral on two-dimensional vector-valued functions.

主要包括以下内容:在第一部分,我们介绍了本文所用到的几个基本概念和引理;第二部分,我们在二维向量空间中引入了绝对值范数,并且证明了二维向量空间是一个Banach空间;在第三部分中,通过第一部分关于-精细分划的定义,我们给出了在某区间上二维向量值函数积分的定义以及可积的充分必要条件,并讨论了二维向量值函数积分的一些性质。

The traditional Canonical Correlation Analysis based image recognition methods always encounter the Small Sample Size problem,which is due to the size of sample and less than the dimension of sample.In order to solve this problem,a new supervised learning method called Two-Dimensional CCA(2DCCA) is developed.

针对传统典型相关分析(Canonical Correlation Analysis,CCA)的图像识别中出现的小样本(Small Sample Size,SSS)问题,提出二维典型相关分析(Two-Dimensional CCA,2DCCA)。

A numerical calculation program is written up for the various solution methods in this paper and the program is being used in various aspects of inverse problem of environmental hydraulics, including inverse problem in reverse process of one-dimensional unstable diffusion, inverse problem in reverse process of convection-diffusion, inverse problem for the dispersion coefficient in water quality model, The inverse problem of coefficient identification for nonlinear Boussinesq equation, parameter identification inverse problem for water quality model, the inversion of parameter of BOD-DO water model, the inverse problem of the source of convection-diffusion, identification of the steady-state permeability for two dimensional isotropic medium, two-dimensional steady inverse problem of convection-diffusion and parameter identification inverse problem for two-dimensional parabolic equation, etc.

对本文提出的各种算法,编制了数值计算程序,并把它应用于环境水力学反问题诸多领域,包括污染物一维非恒定扩散逆过程反问题,对流扩散方程逆过程反问题,河流水质纵向弥散系数反问题,非线性Boussinesq方程反问题,河流水质多参数识别反问题,BOD-DO水质模型参数反演问题,对流—扩散方程源项反问题及二维恒定各向同性介质渗透系数反问题,二维定常对流——扩散方程及二维抛物型方程参数控制反问题等。

In this paper,a design method of two dimensional Linear Phase Nearly Perfect Reconstruction filter banks based on a new class of cosine modulation systems is presented,which can be described as follow: firstly,the Parks-McClellan algorithm is adopted for designing the prototype filter,then by employing cosine modulation,a series of analysis and synthesis filters can be obtained,accordingly a one-dimensional LP-NPR filter banks can be constructed;Secondly,cascading two one-dimensional LP-NPR filter banks in the form of tree structure and using the unimodular transformation,a two dimensional nonseparable LP-NPR filter banks can be obtained.

提出了一种基于一类新余弦调制系统的二维线性相位-近似完全重构滤波器组的设计方法,设计过程分为两个步骤:首先采用Parks-McClellan算法来计原型滤波器,再经过余弦调制能到一系列的线性相位分析和综合滤波器,从而可以构造一维LP-NPR滤波器组;然后利用树状结构来结合两个一维LP-NPR滤波器组,并运用单位模变换,可以得到二维不可分离LP-NPR滤波器组。

In this paper, a code TFEM-2D (Triangular Partition, Finite Element Method Two-dimensional Problem) for the few-group, two-dimensional, geometrical neutron ...

本文在FELIX C-512计算机上用FORTRAN Ⅳ语言编制了在、几何下的二维少群中子扩散程序TFEM-2D(Trianglular Partition; Finite Element Method Two-dimensional Problem)。

Since there is natural different of the kinematic density formula for pairs of intersecting lines in two-dimensional surface and three-dimensional space, the inequalities for double chord-power integrals have studied from two side of two-dimensional surface and three-dimensional space using chord-power intergral inequality. Schwarz inequality. Holder inequality and so on.

由于二维平面和三维空间上的相交直线偶的运动不变密度公式有着本质的不同,本文从二维平面和三维空间两个角度,利用弦幂积分不等式,Schwarz不等式,Holder不等式等不等式分别得到了一系列双弦幂积分不等式。

By the numerical analysis of the ultimate bearing capacity of two- and three-dimensional footing under combined loading mode, the results show that the effect of alteration of underground water lever on bearing capacity of three-dimensional foundation is more than on that of two-dimensional foundation, the effect of soil gravity on bearing capacity of three-dimensional foundation is more than that of two-dimensional foundation. At the same time, the numerical calculation process of ABAQUS indicates that whether the geostatic stress is balanced or not has great effect on the numerical convergence. In view of the effect extent of dilation angle of soil on the ultimate bearing capacity and the failure pattern of foundation, the condition of two-dimensional plane strain is higher than that of the three-dimensional foundation.

复合加载模式下,通过对三维矩形基础和二维条形基础进行数值分析,结果表明:黏性土地基中地下水位的变化,对三维矩形基础极限承载力的影响程度高于对二维条形基础的影响;在求解地基极限承载力的过程中,土体重度对三维矩形基础的影响明显高于对二维条形基础的影响,同时ABAQUS数值计算过程表明,地基土体地应力能否合理平衡,对数值求解过程中是否收敛有很大的影响;就土体剪胀角对地基极限承载力的影响程度而言,二维平面应变情况下土体剪胀角对极限承载力的影响比三维情况下的影响更明显,即土体剪胀角对条形基础极限承载力的影响高于三维矩形基础。

In this study, isobaric tags for relative and absolute quantification labeling coupled with two-dimensional liquid chromatography-tandem mass spectrometry (2D-LC-MS/MS) was employed to compare the differential protein expressions in MCF7 cells upon 17β-oestradiol (E2) stimulation or serum deprivation versus in normal conditions. A total of 576 proteins with the confidential level of ≥95% were identified, 26 proteins among the 576 proteins were found to be differentially expressed after E2 stimulation or serum deprivation, and among them 10 proteins were up-regulated and 16 proteins were down-regulated by more than two folds.

利用四重用于相对和绝对定量的等量异位标签(isobaric tags for relative and absolute quantification, iTRAQ)标记结合二维液相色谱-串联质谱(two-dimensional liquid chromatography-tandem mass spectrometry, 2D-LC-MS/MS)对雌二醇(17β-oestradiol, E2)和血清各自以及共同作用对MCF7乳腺癌细胞内蛋白质表达的影响进行了比较,共鉴定到置信度在95%以上的蛋白质576种,其中各组相对于正常培养组的细胞共找到26种差异在1倍以上的蛋白质,其中10种上调,16种下调。

All subjects recieved the test of Two-Dimensional echocardiography and PW-TDI.3.1 LV end-diastolic diameters, RV end-diastolic diameters and inter-ventricular septum and posterior wall thicknesses were measured from the parasternal long-axis projection. LV end-systolic and diastolic volumes,RV end-systolic and diastolic volumes were obtained from the

所有入选者均行常规二维超声和组织多普勒超声心动图检查 3.1 常规二维超声心动图(two-dimensional echocardiography,2D)检查:采用胸骨旁左室长轴切面M型测量左室舒张末期前后径、右室舒张末期前后径、室间隔厚度、左室后壁厚度;心尖四腔、二腔切面面积勾画法分别测量左室、右室舒张末期容量和收缩末期容量并计算左室

The infrared radiation characteristics of unsymmetrically two dimensional nozzle are experimentally studied. UTDN is designed and manufactured by prolonging one broad side of a general two-dimensional nozzle AR8 and its aspect radio is 8. Temperature distribution on the axes and spectral IR intensity on the orientation of 0, 10, 30, 60 and 90° on three typical detective planes of the hot plume are measured on hot plume simulation platform of the turbo fan engine.

为了研究非对称二元喷管(Unsymmetrically two-dimensional nozzle, UTDN)的红外辐射特性,首先以宽高比为8的常规二元喷管(AR8)为基础,设计加工了UTDN,然后在涡扇发动机热喷流实验台上测量了UTDN轴线上的温度分布以及在后半球典型探测面内0, 10, 30, 60和90°方向上的红外光谱辐射强度,积分得到辐射强度的空间分布,并在相同的实验条件下,与AR8进行了比较。

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