可表示的函数

In this paper, we consider the properties of so_called N_analytic functions , integral formula of Cauchy type and the problem of Riemann boundary value.

研究了N 解析函数的性质、Cauchy型积分公式及相应的Riemann边值问题，然后将其结果应用到一类奇异微分—积分复方程的可解性理论中，建立了其特征方程解的积分表示式。

We give a group of circular filter functions, use genetic algorithm to select the frequency band of larger divisibility value, and design the expression of chromosome and the solution of fitness.

给出了一组圆形滤波函数，并使用遗传算法来选择可分性较大的频段，设计了染色体的表示方式和适应度的求法。

If the relation between wave function and spatial coordinate in different state of electrons is tried to express in a form of diagram, and also, the different diagrams in wave formation are obtained.

若设法将代表电子不同运动状态的各种波函数与空间坐标的关系用图的形式表示出来，还可得到各种波的图形。

The classical signal analysis method is Fourier transformation, whose essence is to decompose the signal wave into many sine waves, and which also can be seen as representation of time function in frequency domain.

傅里叶变换是经典的信号分析方法，其实质是：把波形分解成许多不同频率的正弦波之和，可看作是时间函数在频率域上的表示。

The analyzed results of the grain orientations may be directly expressed in a unit stereograph triangle and also easily determined on the transformation matrix of the grain boundaries, because the shapes of etch-pits are described by a continuous function of azimuth angle.

因为蚀坑形状是以方位角的连续函数来描述，故晶粒位向的分析结果可直接表示在单位赤面投影三角形中，且易于确定晶界的变换矩阵。

If 〓 is an absolutely continuousmeasure and is represented by a measurable function f on Q,then u is said tobe the generalized solution of(1),and 〓 to be the parabolic Monge-Amperemeasure.

定义1由legendre变换定义了一个Q上的测度〓（4）其中〓为〓空间中的Lebesgue测度，若〓是一个绝对连续测度且在Q上由可测函数〓表示，则称u为方程（1）的广义解、称测度〓为抛物型Monge-Ampère测度。

The dissertation focuses on methods of parametric representation and deformation control, initialization problems and global optimization of the objective functions of the deformable models and templates.

论文重点讨论了所提出的各类可变形模型及模板的参数化表示及其变形控制、模型及模板的初始化以及目标函数的最优化搜索方法。

Based on structuring a quotient space,consisting of pairs of convex compact sets,this paper discusses the uniqueness of quasidifferential of quasidifferentiable function.

本文在构造凸紧集对商空间的基础上，讨论了拟可微函数拟微分的唯一性，指出拟微分的表示可以不唯一。

Fractal is a subdiscipline of nonlinear area, researches on fractal characteristics of the deoxyribonucleic acid sequence may reveal some secret hidden in the DNA sequence during the process of biological evolution. Chaos Game Representation was proposed as a scale-independent representation for genomic sequences by Jeffrey in 1990. This technique, based on iteration function system, represents the word distribution statistics in DNA sequence as the fractal graphic. Therefore, we can get the distribution of sequence through analysis of fractal theory.

分形是非线性领域的一门分支学科，关于脱氧核糖核酸序列分形特征的研究，可以揭示生物在进化过程中隐藏在DNA序列中的某些秘密。1990年Jeffrey提出了基因组序列的与尺度无关的混沌游戏表示法，这是基于迭代函数系统的一种方法，它将DNA序列中一定长度字的分布规律表现为图形的分形特征，进而通过分形分析就可获取序列的分布规律，从而也成为DNA序列分析的一种统计方法。

Finally, the influence of permanent tide is recalculated using the same precise development of TGP. This work can be taken as a theoretical reference for the research of highprecision space geodesy and astrogeodynamics. tide-generating potential ; station displacements ; spectrum method ; Love/Shida number

最初的Love数和Shida数是由静态球形地球的潮汐模拟理论推求的，由于地球是旋转椭球形的天体，地球形变对引潮力位的响应存在着不同调和函数的微小混合，这样Love数和Shida数就与测站纬度和TGP的调和级次有关，纬度特性可通过引入一组常数来表示，最初的结果由Wahr

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。