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1·We recognize this expression as just the scalar product.

可以认出，此表达式正好就是标积。

2·Scalar Product Protocol is the keystone in building privacy-preserving decision tree.

标量积协议是构造隐私保持决策树的关键技术。

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

一个矢量自身相乘的标积等于该矢量大小的平方。

4·There are two ways that we multiply vectors and one is called the dot product often also called the scalar product.

矢量乘法有两种,一种叫做“点积“,通常也被叫作“数量积

5·We prefer the form (5.16.7) since it is in conformity with the definition of scalar product in a complex Euclidean space.

我们愿意用(5.16.7)这种形式，因为它和复欧几里德空间中标积之定义相谐调。

6·We prefer the form (5. 16. 7) since it is in conformity with the definition of scalar product in a complex Euclidean space.

我们愿意用(5.16.7)这种形式，因为它和复欧几里德空间中标积之定义相谐调。

7·And comparing with the performance of simple Scalar Product Protocol without privacy preserving, the performance of Protocol 4.1 is acceptable.

同时与简单的标量积协议的性能相比较，协议4.1的性能是在合理的范围之内。

8·Write and test a class Vector2D to define operators for addition, subtraction, scalar product, input and output, and inner product of two 2d vectors.

Draw a UML diagram 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。

9·Then the formula for the scalar product of angular momentum operators is used to deduce the Schrodinger equation for one particle in spherical coordinate.

在量子力学中求解球对称辏力场中的薛定锷方程时，角动量算符的几个代表关系起着关键作用。

10·The other kind of feature points are those where the absolute value of the scalar product of its normal vector and the view vector is less than a threshold.

另一类特征点是由法向量和视线向量的内积决定的，内积小于给定阈值的点称为特征点。