查询词典 inner product

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。

At last, the Double Message Signal is proposed and the non-interfere condition is presented that the steering vectors are orthogonal in the weighted inner product space, with the inverse matrix of background covariance as the weighting matrix. The optimal polarization states are designed, according to the EM background.

最后，提出了一种双信息信号传输的方案并导出了无互扰传输的充要条件：两期望信号的信号矢量在以干扰噪声协方差矩阵的逆矩阵为加权矩阵的加权内积空间中正交，在给定的电磁环境下设计了双信息信号的极化状态。

We first analyze the relationship between the characteris-tic subspaces of linear transformation A,and its conjuge transformation A*, on then-dimensional complex inner product space Cn, and prove that the characteristicsubspace of an enginvalueλof A is orthogonal to that of enginvalue μ of A* if λ≠μ.

首先，分析n-维复内积空间Cn上的线性变换A与其共轭变换A*的特征子空间之间的关系，证明出只要A的一个特征值λ与A*的一个特征值μ的共轭不同，那么它们对应的特征子空间是正交的。

If the knowledge was closely related the many disciplines or many branches of a discipline,then this knowledge is certainly important,but the quadratic form,european space inner product,Jensen inequality are basic content of algebra,real letters,calculus in higher mathematics.

如果某一知识跟很多学科或者一个学科的很多分支有着密切联系，那么这个知识肯定是很重要的，而二次型、欧式空间内积、詹森不等式都是高等数学中代数、实函、微积分的基本内容。

Reproducing kernel Hilbert space ; inner product ; orthonormal basis

再生核Hilbert空间；内积；正交基

Content of the course consists of:(1)Basic Theories of Polynomials ;(2)Linear Algebra: topics on basic matrix theory, determinant, system of linear equations, vector space, linear transformation, eigenvalue problems, inner product and Euclidean space , and quadratic form etc.;(3) Analytic Geometry: topics on algebraic operations of vectors, coordinates, lines and planes, curves and curved surfaces, etc.

学习本课程后，学生应学会用线性空间与线性变换的观点处理包括线性代数方程组在内的有关理论与实际问题；学会熟练地运用矩阵工具；本课程还学习基本的多项式知识和空间解析几何的基本知识。课程内容包括几个主要部分：（1）多项式代数；（2）线性代数：矩阵，行列式，线性代数方程组，向量空间与线性变换理论，特征值问题，欧氏空间理论，二次型等；（3）解析几何：几何空间向量代数，通过建立坐标系以及借助向量方法研究空间平面与直线及点﹑线﹑面的相互关系，借助曲面方程研究空间曲面，尤其是柱面，锥面，旋转面和二次曲面以及曲面的交线等。

Firstly,by using the estimating methodfor the compact embedding operators(from weighted Sobolev space to the weighted〓space),we obtain a necessary and sufficient condition for the discreteness of thespectrum of certain differential operators.Secondly,based on the property of thespectrum of difinitizable operators on the Krein space,we consider the left definitedifferential equations with middle deficiency indices,and give a completecharacterization for self-adjoint(J-self-adjoint)differential operators in theindefinite inner product space 〓.Especially,we prove that all the J-self-adjoint differential operators are definitizable.

我们首先运用加权Sobolev空间到加权〓空间嵌入算子紧性的判别方法，证明一类加权自伴微分算子具有离散谱的充要条件；然后，基于Krein空间上可定化算子谱的性质，对于具中间亏指数的左定型微分方程，建立其相应的微分算式在不定度规空间〓上所生成自伴算子的完备性刻画（特别证明了J-自伴微分算子具有可定化性）。

A new inner product of matrix is defined in this paper,which can save matching time.

定义了一种新的形状描述子和一种矩阵内积。

Then the inner product of two vectors in is defined as.

映射的微积分就是Banach 空间上的分析。。

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。