查询词典 inner product

It employs the complex-valued step function to build neural model, then constructs network structure and decides the number of neurons; it adopts complex-valued Hebbian rules and inner product way to calculate the net weight matrix; then it analyzes the convergence of the network by taking advantage of the definition of energy function. In the image pre-processing stage, 2-dimensional Fourier Transform and Euler's formula are used, respectively, to transfer a gray-scaled image into phase information needed by the complex-valued neural network when stores the traffic sign. In the image post-processing stage, phase inverse transformation is used to change the phase image to gray-scaled image.

采用复数阶跃函数构建了神经元模型，建立了复数Hopfield神经网络结构，并且确定了网络中神经元的个数；借助复数Hebbian学习规则和复数内积法给出了网络权值的确定方法；借用复数网络能量函数的定义，说明了复数识别网络的收敛性；在前期的图像数据处理部分，分别使用离散二维傅里叶变换和欧拉公式，给出了将灰度图像数据转化为复数网络所需要的相位信息的方法，实现了网络对路牌的记忆存储；在后期的图像还原部分利用相位逆变换的方法，实现了相位图到灰度图转化。

The problem of finding stabilizer quantum-error-correcting codes can be transformed into the problem of finding additive self-orthogonal codes over the Galois field GF(4) under a trace inner product.

寻找量子稳定子码的问题可以转化为寻找GF(4)上迹内积自正交的经典加码的问题。

Thesolutions compose self-contained inner product space (weight function is constant 1),i.e., they are basic series of Hilbert space; hence any internal waves could beexpanded into generalized Fourier series. With difference method, Sturm-Liouvilleequation is transformed to matrix eigenvalue problem. Each eigenvalue is related to ahorizontal wave number, and relevant solution is a certain mode of internal wave.

其解系构成完备的加权(权函数为1)内积空间，即Hilbert空间，从而内波现象可以展成该解系的广义Fourier级数；采用差分方法，将 Sturm-Liouville 方程转化为矩阵特征值问题，每一个特征值对应一个内波波数，该特征值对应的解则是内波的某一模态。

In order to give the geometric meaning of Inner product of two vector,the textbook printed by People's Education Press use the concepts of "projection" and "image" of vector.

为了给出两个向量的"数量积"的几何意义，现行人教版教材引入了向量的投影和射影的概念。

In order to give the geometric meaning of Inner product of two vector,the textbook printed by People s Education Press use the concepts of "projection" and "image" of vector .

二者字面意思基本一样，但"投影"是一个实数，"射影"是一个向量，二者不是同一类事物，而且对向量的射影的表述有不当之处。

Part Ⅰ deals with the foundmental theory of variational technique in the lossy electromagnetic fields. In chapter two and three the Green theorem is introduced so the unified method to derive functional is given. Chapter four is devoted to discuss two type of inner product. In chapter five the generialized least function theorem is given and applied in the derivation of variational expressions.

第一篇主要是关于有耗电磁变分的基础理论，由四章组成，前二章引入了以Green定理为核心的边值问题理论，建立了电磁变分的普遍理论，第四章从对称的观点出发讨论了建立泛函的两种内积形式，第五章给出了一般电磁场的广义最小作用量原理，并用之解决变分问题。

The notion of a complete random inner product module is a random generalization of that of a Hilbert space.

完备随机内积模是Hilbert 空间的随机推广。

First ,it is proved that a positive Hermite form corresponds uniquely to a positive self2adjoint operator in a complete random inner product module ,then this result leads directly to the proof of the main result of...

值得指出的是：完备随机内积模上Friedrichs 定理的证明中所涉及的一系列基本概念与方法都是以随机共轭空间理论为出发点的，与经典情形完全不同。

At the same time, the values range of two kinds of nonsquare constants and their values in real inner product space are given .

同时给出了两种点态非方常数的取值范围，和实内积空间中两种点态非方常数的值。

The first edition of an edition based on the made some additions and improvements, especially in the exemplary and the inner product space, done about a greater change.

本版在第1版的基础上作了一些增加和改进，尤其是在典范式和内积空间的讲述上做了较大的改变。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。