内积

Accordingly, on the hypothetical condition that the material coefficients are the linear functions of tem perature and according to the theory of functional analysis, the authors use the method of combing the inner product form with convolution bilinear form, which leads to the functional of the quasistatic coupled thermo—viscoelasticity including the boundary and initial c...

因此，著者在物性系数是温度的线性函数的假设条件下，根据泛函分析理论，采用内积式与卷积双线性式相结合的方法，导出了包含所有边界条件，初始条件及热传导方程的拟静态耦合热粘弹性问题的泛函，并证明了与之相应的变分原理。

The vector product or cross product of two vectors, v and w

向量 v 和向量 w 的内积或叉积。

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。

Based on the minimizing vector theorem of the fuzzy inner product space ,the pseudo fuzzy orthogonal vector is defined and the projected theorem of the fuzzy inner product space is testified.

在模糊内积空间的极小化向量定理基础上，给出了向量拟模糊正交定义，并在模糊内积空间中证明了投影定理。

Firstly,the generic conception of symmetry for a real sequence was proposed,and then,the symmetry-decomposition and the symmetric degree sequence are presented,which are deduced from the projection theory,the orthogonal-decomposition theory in inner product space and .

首先提出序列信号一般意义下的对称概念，然后由内积空间中的投影、正交分解理论以及内积量化两个信号线性相关程度的特性导出任意信号的对称分解及对称程度序列，对称程度序列定量刻画了信号随对称点的变化时对称特性的变化，在此基础上得出任意序列信号对称程度的定量指标——对称性指标。

According to the inner product feature of sample space this paper takes the differential of fast changing parameters into input samples and puts forward a new neural network not to require to iterate learn, taking it for example recording data of the record system of a type of aeroengine and taking out identification to it.

根据样本空间的内积特性，在输入样本中引入快变参数的导数项，提出了一种无需迭代学习的内积神经网络。

It combines the merits of both multi-auxiliary frequency and inner product , the presented method is analyzed theoretically and simulated by computer.

结合多个辅助频率和向量内积检相方法在激光测距中应用的特点，提出了利用多辅频进行内积检相的方法来进行测距。

In order to talk about the limitation of a vector series, one has to introduce the norm of a vector.

量子体系的态矢量空间是复的内积空间，即定义了内积的复线性空间。

After introducing the basic knowledge of geometric algebra such as outer product,inner product and geometric product,this paper focused on the CGA description and computation with graphic reflection,rotation,translation,rigid body motion and screw motion,and gave the experimental demonstrations.

在简单介绍外积、内积和几何积等基本概念之后，重点论述了共形几何代数在图形反射、旋转、平移等变换和刚体运动、螺旋运动等方面的描述和计算方法，并给出了实验示例。

METHODS:Forty cases of traumatic optic neuropathy were analyzed retrospectively. Univariate analysis (Chi-square test) and logistic regression were performed to filter the risk factors to the visual prognosis of traumatic optic neuropathy. Eight variables were tested, including corticosteriod treatment in 2 days after trauma,no light perception,frontal or temple trauma,orbital hemorrhage and/or fracture,disturbance of consciousness,age ,other ocular trauma and presence of blood within the sphenoidal or ethmoidal sinus.

回顾分析40例外伤性视神经病变患者的临床资料，将伤后2d内是否接受激素治疗，伤后有无光感，有无意识障碍，是否有额颞部受伤，有无眶内积血和或眼眶骨折，患者年龄，是否合并其它眼外伤及是否有蝶、筛窦积血等8个变量纳入研究，通过单因素分析（χ 2检验）和多因素分析（Logistic回归分析），筛选出影响外伤性视神经病变视力预后的危险因素。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。