查询词典 convolution theorem

Based on the tree martingale decomposition theorem and the con-vergence of locally finite tree martingales,a tree martingale convergence theorem isverified.

再基于树鞅分解定理和局部有限树鞅收敛定理，证明了一个树鞅收敛定理。

In this paper, a fixed value theorem for direct areas of height triangle s in circular inscribed polygons is obtained, and some results, including the famous height theorem in a triangle, are deduced.

给出圆内接 2n +1边形中高线三角形有向面积的定值定理及其推论，其中包括著名的三角形的高线定

The common equation of the evolution of spectrum caused by selfphase modulationis presented, which is the convolution of action spectrum and chirped spectrum caused by selfphase modulation when carrier frequency is single.

给出了由自相位调制引起的频谱演变的普遍表示，即单载频脉冲的SPM引起的啁啾频谱与光源的频谱的卷积，通过数值计算给出从相干脉冲到非相干脉冲的频谱演变规律。

A methodology of noise-like key generation is presented. Chaotic process of tentmap function is used as a deterministic generation of noise-like key, image storage and retrieval are completed in a algebraic form. A mathematics model of noise-like chaotic coding memory is constructed, meanwhile the basic mechanism of circulant convolution and circulant correlation in image information storage and retrieval are demonstrated.

在详细阐明数字序列和字母序列的1-D映射函数设计方法的基础上，利用构造出的1-D映射的稳定周期环和不稳定极限环完成了存储和联想记忆功能，为了识别有关的输入信息，提出了映射函数直接控制的方法；在此基础上，提出了一种1-D映射型混沌神经网络模型，该网络本身不当作一个"黑箱"处理，网络的参数值由网络中实现的映射函数来确定，该网络模型具有联想记忆、容错性、模式识别和奇异滤波等一系列智能信息处理的基本功能。

We give several sufficient conditions of NA and NSD properties of random variables, compare the closeness of distribution functions of order statistics between NA and independent rv's, investigate properties of NSD defined by supermodular functions, study the dependence structure of stationary Markov process and order statistics and their spacings from two samples, establish stochastic comparisons of order statistics of heterogeneous rv's in the hazard rate and the reversed hazard rate orders, and give the first analytic proof of the closure property of the up shifted likelihood ratio order under convolution.

给出判定一组随机变量NA性质的几个充分条件，并给出NA和独立随机变量的次序统计量之间"贴近性"的比较，系统地研究基于特殊函数类所定义的NSD负相依概念，给出一些判别NSD性质的结构定理和一些有用概率不等式。系统研究平稳马氏过程的相依结构。研究两样本次序统计量及其问题隔的相依结构。在失效率、反向失效率序和似然序意义下给出非齐次随机变量次序统计量的比较。给出上漂移似然序卷积封闭性的第一个解析证明。

Combining the definition of CWT and the derivative property of convolution, we constructed a general method to calculate the approximate derivative of signal through CWT by using the first and second derivative of Gaussian function, Haar, and the first derivative of three-order-Spline function as wavelets. As compared with the other approaches of calculating derivative, which include the numerical differentiation, polynomial filters, Fourier transform, and the recently proposed DWT method, fast calculation and simple mathematical operation were remarkable advantages of CWT method. For the signal corrupted by severe noise (Signal-toNoise Ratio=5), the satisfactory results could also obtained via CWT method through appropriately adiusting the dilations.

在此基础上，(1)结合连续小波变换的特点和卷积的微分性质，提出了使用Gaussian函数的一阶和二阶导数，Haar和三次样条函数的一阶导数作为小波函数的连续小波变换计算信号近似导数的一般性方法，与其他导数计算方法(包括数字微分法，多项式滤波法，Fourier变换法和离散小波变换法)相比，本法简单便捷，计算速度快，对于噪声含量较高的信号(S/N为5)，只要适当调节尺度即可获得比较满意的结果。

Aim To study the mean value of a new arithmetic function and its convolution.

目的 研究一个新的数论函数及其他对合式的均值性质。

Results The mean value properties of this new arithmetic function and its convolution properties were obtained.

结果 得到了一个新的数论函数的均值性质及其他对合式的均值性质。

The author presents for ours this oil painting, color of take the sea - black , deep black, dark blue as the bottom color, has the depth feeling of shadow, by the prominent condensation function, causes the main image bright eye-catching, has one kind of stereoscopic effect; Simultaneously chose the contrast intense white clouds, the snowy peak has come with the sea to face each other across a great distance, the color was bright, has had the striking feeling; Chose the rich vitality green seacoast, the nattierblue hill has made the sea the sideline, has had the gently beautiful feeling; Chose the color variegated light beam to make the sea the central color, the reflection function is intense, the entire picture was bright immediately, the deep color transferred the half tint, has had the lively sprightly feeling; Adds on moon's inverted image, bird's soaring, eagle's convolution, constituted one refinedly to catch fish the chart, also the difficult style which caught fish with the old person has formed the harmonious unification, played the exaggeration role, had achieved the perfect unification, demonstrated the old person just had the suppleness, supple had the just disposition characteristic.

作者呈现给我们的这幅油画，以大海之色――黑魆魆、深黑、深蓝为底色，有深度的阴影之感，以突出聚光作用，使主要形象鲜明夺目，产生一种立体感；同时选择了对比强烈的白云、雪峰来与大海遥遥相对，色彩明亮，产生了醒目感；选择了富有生气的绿色海岸，淡青色的小山做大海的边线，产生了柔美之感；选择了色彩斑斓的光柱做大海的中心色彩，反光作用强烈，整个画面顿时明亮起来，深色转为中间色，产生了活泼明快之感；加上月亮的倒影、鸟儿的飞翔、老鹰的盘旋，构成了一幅脱俗的捕鱼图，也与老人捕鱼的艰难格调形成了和谐的统一，起到了渲染的作用，达到了完美的统一，显示出老人刚中有柔，柔中有刚的性格特征。

Based on the boundary integral formula and natural boundary integral equation for the boundary value problems of biharmonic equation , the non-symmetrical banding solutions to the circular plate under thermal boundary conditions are gained by the Fourier series and convolution formulae.

根据双调和方程边值问题的边界积分公式和自然边界积分方程，利用傅立叶级数及卷积的几个公式，求得了相应变温边界条件下非对称载荷圆板的弯曲解，从实践上证明了此方法的可行性。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。