奇函数

一个奇函数的图形一般如图4.1（b）所示。

The graph of an odd function has the general appearance of Fig 4.1b .

讨论了形如I（f）的数值积分问题，这里为奇函数因子。

A numerical integral problem as I ( f ) is discussed , Where 9 ( x ) is odd function factor in ∞ + ∞ ) .

指出，在不同弹性介质分界面上入射平面弹性波，转换波的反射系数和透射系数是射线参数p的奇函数；非转换波的反射系数和透射系数是射线参数p的偶函数。

· The reflection and transmission coefficients of plane elastic and converted waves incident upon an interface between different elastic media are the odd functions of ray parameter p respectively . · The reflection and transmission coefficients of unconverted wave are the even function of ray parameter p.

本文通过分析AFT的采样特点，给出了奇函数和偶函数的AFT的改进算法.然后在此基础上给出了一般函数的AFT的改进算法。

By analyzing sampling characteristics of AFT , this paper gives improved algorithms of AFT for odd and even functions , and based on these algorithms , gives an improved AFT algorithm for general functions .

对一维非线性梁振动方程上满足铰链边界条件，其中为解析的奇函数，文章证明了对于大多数的m2，上述方程存在小振幅周期解。

We prove the existence to periodic solutions to lD nonlinear beam equation satisfies the hinged boundary conditions on the interval , and f ( u ) is an analytic odd function . It is proved that for most m2 , the above equation admits small-amplitude periodic solutions .

末日意识S类奇函数相邻系数的估计

Estimates of Two Adjacent Coefficients of the Odd Functions in S

带奇函数因子的广义数值积分公式

Formulas for Generalized Numerical Integral with Odd Function Factor

探讨奇函数和偶函数在无限区间上的积分问题。

This paper explores the odd function and even function 's property of infinite integral .

非奇函数是M序列反馈函数的一个充要条件

A necessary and sufficient condition for a nonsingular function to be the feedback function of a m-sequence

通过构造一个转折点值α可变的三分段线性奇函数，研究一种新型混沌产生器。

A new type of chaotic generator is studied by constructing a three-segment piecewise-linear odd function with variable breakpoint α .

当权函数是图像灰度的奇函数时，该算法对图像的随机噪声不敏感。

And the algorithm is insensitive to the random noise when the weight function is an odd function of gray of an image .

利用伪单调算子方法给出了半线性椭圆型边值问题多个非平凡解存在性的条件，这个条件不要求非线性项的可微性、奇函数性。

A condition for a semilinear elliptic equation to have multiple nontrivial solutions is given by using pseudo monotone mapping This condition does not demand any differentiability of the nonlinear tern .

在定积分计算中，常常可以利用一个结论来简化计算偶函数、奇函数在对称于原点的区间上的定积分，这个结论能否在重积分计算中使用？

A conclusion can often be used to simplify the calculating process of definite integration if an odd or even function is just situated on the interval which is symmetry about origin .

其中切向压力流是关于y轴的奇函数，轴向拖动流在转子螺槽类似抛物线分布，将速度沿螺槽深度积分得到泵流量扬程关系式。

The tangential pressure flow velocity is an odd function of the parameter y , and the axial Couette flow velocity distribution along the radial direction in the screw grooves is a similar parabola distribution .

在双折叠环面混沌吸引子方程中构造一种具有多个分段线性化的奇函数，基于递归算法，导出可产生一类多折叠环面混沌吸引子的递归公式。

By constructing an odd function with multiple piecewise-linear segments in the double-folded torus chaotic attractor equation and using recurrence algorithm , the recurrence formula capable of producing a family of multi-folded torus chaotic attractors is derived .

奇Logistic函数产生的地毯图案从图案到装饰设计

A gasket generated by the odd logistic function from pattern to art design

奇Logistic函数产生的地毯图案

A gasket generated by the odd logistic function

周期性非正弦奇谐波函数的研究

Research on Periodical Nor-sine Odd Harmonic Function

关于奇解析函数的几个掩蔽定理

Cover Theorems about Odd Analytic Functions

在准同步码分多址系统中，影响系统性能的是零时延附近的部分扩频序列相关函数，而且奇相关函数和偶相关函数发挥同等重要的作用。

In a QS CDMA system , the relative delay between the signals of different users is random but restricted to a specified time range , so correlation functions around the origin influence system performance and odd function are as important as the even functions .

奇、偶函数概念的拓广

The Extension of the Concepts of Odd and Even Function

导出了把一元定积分中奇、偶函数在关于原点的对称区间上的积分性质推广到在对称区域上的二元对称函数的二重积分的情形。

Generalize the integral characters of the odd and even functions of the unary definite integral in the symmetrical interval about the origin are generalized to the double integral of binary symmetrical functions in the symmetrical region , where similar characters are obtained .

其基础是衍射理论的Kirchhoff积分，原理是通过曲面几何函数的解析奇性和距离函数的拓扑奇性之间的联系。

The basis is Kirchhoff integral of diffration theory . The principle is the relation between the analytical singularity of surface geometric function and topological singularity of distance function .

如果两个以上二元序列的奇周期自相关函数之和是一个冲击函数，这些序列称为奇周期二元互补序列集（简记为OPCS）。

Two or more binary sequences are called as a set of odd-periodic complementary binary sequences ( OPCS ) if the sum of their respective odd-periodic autocorrelation function is a delta function .

两类具有最优代数免疫阶的奇变元布尔函数位某一数列中一个数目的位置

Two classes of boolean functions with optimum algebraic immunity in odd number of variables