a real number (a scalar) that is the product of two vectors

based on protocol 4.1, a high-performance protocol 5.1 is put forwarded, with the name oblivious transfer based scalar product protocol.

在数学理论的指导下，我们以协议4.1为基础，提出了具有更高隐私保持效果的协议5.1——「基于不经意传输的标量积协议」。

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。

we recognize this expression as just the scalar product .

可以认出，此表达式正好就是标积。

this algorithm preserved privacy of individual values by computing scalar product. meanwhile the algorithm of computing scalar product was given and the security was analyzed.

给出了数量积算法，分析其安全性，同时还举例说明如何利用数量积算法进行垂直型分布式数据挖掘。

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。

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.

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。

and we also present a multi-party security scalar product protocol.

其中我们还给出了一个安全的多方点积协议。

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。

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。

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。

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。

a decision tree classifier was applied and a scalar product protocol was added, so that the need of privacy preserving is satisfied as well as the advantage of decision tree is retained.

在传统的决策树算法中引入标量积协议，既保持决策树算法本身的优点，又满足了保持隐私的需求。