One of the techniques is based on distributed arithmetic (DA) for inner product computation.
其中的一个技术就是基于分布式算法的内积运算。
The inner product between two state vectors is a complex number known as a probability amplitude.
两个状态矢量间的内积是一已知的概率振幅复杂数字。
In the inner product space, the existence theory of best approximation element was obtained and described.
获得了内积空间关于弱闭凸集的最佳逼近元的存在性及其刻划定理。
There are many different types of abstract space in mathematics, for examples, vector space, inner product space, etc.
数学上存在各种不同的抽象空间，例如向量空间，内积空间等。
The method is feasible because it only changes inner product operation and the complexity of algorithm doesn't increase.
因为升维后只是改变了内积运算，并没有使算法复杂性随着维数的增加而增加，因此这种方法才是可行的。
In this paper, the vertical concept on the fuzzy inner product space is given and a regular vertical base is introduced.
文章给出了模糊内积空间中垂直的定义，介绍了正规正交基，然后利用它讨论了模糊内积空间的一些性质，并证明了勾股定理。
Two-and three-dimensional Euclidean Spaces are metric Spaces as are inner product Spaces vector Spaces and certain topological Spaces.
二维和三维的欧几里德空间是度量空间。另外，内乘空间、向量空间以及某些拓扑空间等也都是度量空间。
Two-and threed imensional euclidean spaces are metric spaces as are inner product spaces vector spaces and certain topological spaces.
二维和三维的欧几里德空间是度量空间。另外，内乘空间、向量空间以及某些拓扑空间等也都是度量空间。
The inner product algorithm and cross multiply algorithm in the vector calculation are used to deduce active power and reactive power.
利用矢量运算中的内积算法和叉乘算法来推导有功功率和无功功率。
The expression of a few important formulas of electromagnetic fields are simplified by using the inner product and mutual energy formula.
本文利用内积和互能公式来简化一些重要的电磁场公式的符号表示。
Two - and three-dimensional Euclidean Spaces are metric Spaces, as are inner product Spaces, vector Spaces, and certain topological Spaces.
二维和三维的欧几里德空间是度量空间。另外，内乘空间、向量空间以及某些拓扑空间等也都是度量空间。
A property of inner product is used for proving inequalities by constructing some spacial vectors, it can simplify the processes of the proof.
本文通过构造向量，将向量的内积的性质运用于不等式的证明中，使得一些不等式的证明更加简捷。
Write and test a class Vector2D to define operators for addition, subtraction, scalar product, input and output, and inner product of two 2d vectors.
Drawa UMLdiagram first编写和测试vector 2d定义加法，减法，数量积，输入和输出操作符一类，和两个二维向量的内积。
A few good necessary and sufficient conditions are given by using inner product and length relation for antisymmetric transformation on Euclidean space.
借助内积与长度与夹角给出了欧氏空间的变换是反对称变换的若干个充要条件。
A new adaptive variable neural network is developed according to the inner product feature of sample space. This method does not need to iterate learning.
根据样本空间的内积特性，提出一种无需迭代学习的自适应变结构神经网络。
The first chapter is about vector algebra, introduces the vector of linear operations, inner product of vectors, vector outer product, vector product and double mixed exterior product.
第一章是向量代数，主要介绍向量的线性运算、向量的内积、向量的外积、向量的混合积和双重外积。
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。
The higher Euler operators, the total inner product and the total homotopy operator constructed for proving the exactness of the horizontal complex are the most important results of this thesis.
为证明水平复形的正合性而构造的高阶欧拉算子、全内积公式和全同伦算子是本文最重要的结果；
In this paper we have discussed the characterizations of inner product Spaces by using several different concepts of orthogonality in normed linear Spaces which have been given by various authors.
本文讨论了利用线性赋范空间中已知的几种正交性概念来给出内积空间的某些特征。
Based on this connection, one method for constructing quantum constacyclic codes is presented by finding self-orthogonal classical constacyclic codes over the field GF(4) under a trace inner product.
利用这一联系，提出了GF（4）上的经典常数循环码满足迹内积自正交的充要条件，从而构造出了对应的量子常数循环码。
The production-oriented organisation's focus is inner-directed, and defines itself in terms of product or industry.
以生产为导向的组织的重点是内部导向的，并根据产品或行业定义自己。
Today, China produces 97% of the world's supply of rare-earth metals-a by-product of the country's vast iron-ore mining operations in Inner Mongolia.
今天中国生产了世界消耗的97%的稀土金属——这个国家在内蒙古大型铁矿开采的副产品。
As the main visual language of the product, product color contains the inner quality of products and expresses their feelings.
产品色彩作为产品主要的视觉语言，蕴含着产品的内在品质和其所要表达的情感。
"Inner" is the heart of the solar water heater, its characteristics affect the overall life of the product.
“内胆”是太阳能热水器的心脏，其特性影响着产品整体寿命。
The product is mine Pingdingshan Naiman Banner in Inner Mongolia, using traditional craft and modern technology, the method of combining carved made.
该产品是内蒙古奈曼旗平顶山矿，采用传统工艺和现代技术相结合的方法精雕细刻而成。
These specialists were responsible for a particular product range. They knew the technical inner workings and functionality of the products they are in charge of inside out.
这些专业人员负责某个特定产品范围。他们对所负责产品的技术性内部工作情况和功能了如指掌。
These specialists were responsible for a particular product range. They knew the technical inner workings and functionality of the products they are in charge of inside out.
这些专业人员负责某个特定产品范围。他们对所负责产品的技术性内部工作情况和功能了如指掌。
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