标积

一个矢量自身相乘的标积等于该矢量大小的平方。

The scalar product of a vector with itself is the square of the magnitude of the vector .

可以认出，此表达式正好就是标积。

We recognize this expression as just the scalar product .

本文利用Cartan矩阵给出了一种计算半单李代数初等表示的权的标积的方法，并由此算出了二次Casimir算符的本征值。

In this paper by using cartan matrix , a method for calculating the scalar product of the weights of the elementary representation for semi - simple Lie algebra is presented , and from this , the eigen value of the second Casimir operator is worked out .

初等表示的权的标积

The scalar product of the weights for the elementary representation

标积制动量的应用与分析

The application and analysis of the differential protection with the product restraint quantity

新型标积制动式差动保护的分析研究

Research on new scalar product restraint differential protection

标积制动式纵差保护的原理独立于比率制动式纵差保护。

The principle of scalar product differential protection is independent of percentage differential protection .

角动量算符的矢积与标积的并矢计算和它的应用

A Dyadic Calculation of the Vector and Scalar Products of Two Angular Momentum Operators in Quantum Mechanics

功的定义用到矢量代数的第三种运算，即两个矢量的标积。

The definition of work suggests a third process of vector algebra , namely , scalar multiplication of two vectors .

在适当地选取了半单李代数的根系之后，就可算出初等表示权的标积。

When the set of roots for a semi-simple Lie algebra have been selected appropriately , the scalar product of the weights of the elementary representation can be calculated .

含参数的算符一次量子化理论的等价性角动量算符的矢积与标积的并矢计算和它的应用

EQUIVALENCE OF THE FIRST QUANTIZATION USING POSITION AND MOMENTUM OPERATORS CONTAINING PARAMETERS A Dyadic Calculation of the Vector and Scalar Products of Two Angular Momentum Operators in Quantum Mechanics

同时，通过跟传统比率制动判据和标积制动判据的比较分析得出新差动保护原理在抗电流互感器饱和与抗过渡电阻能力等问题上都具有明显的优越性。

Meanwhile , the compare with the conventional percentage restraint principle and product-restraint principle have proved that the new criteria have a good performance when the transformer saturates and when the transition resistance have a big value .

文中利用旋转矩阵的性质，容易得出各坐标轴单位矢量的方向余弦的递推公式，求出这些单位矢量的标积和混合积，并且可以方便地导出第六个约束方程，推导颇为简捷。

Applying the character of rotation matrices , it is not difficult to obtain the recurrence formulas of direction cosines of Cartesian unit vectors , to calculate the scalar products and triple products of these unit vectors , and to derive the 6th constraint equation .

新型压力动标装置的建模与实验研究模糊标积制动原理的变压器微机差动保护

SETTING MODEL AND EXPERIMENTAL RESEARCH OF NEW TYPE OF DYNAMIC PRESSURE CALIBRATOR A micro-computer system on a transformer differential protection based on fuzzy set and scalar product breaking theory