查询词典 scalar valued function

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.

给出了数量积算法和隐私挖掘的步骤，最后举例说明了如何利用数量积算法进行垂直型分布式数据挖掘。

It is demonstrated that scalar implicatures cannot be adequately defined in terms of scalar quantity implicatures.

因其没有囊括更广泛意义上的梯级含义而不具有普遍性。

And, on this basis, the VC++ language was used to program the computer. The computerized example was compared with the practical test, and the result showed that the simplification made to the conservation scalar quantity method is feasible on the whole, and compared with the original conservation scalar quantity method, the simplified method has the advantages that programming is more simple, and calculation time can be shortened.

在此基础上，用VC++语言进行编程，将计算后的实例与实际的试验对比验证，结果表明：对守恒标量法所作的简化基本可行，与原来的守恒标量法比较，简化后的编程简单，计算时间缩短。

At last, we provide the upper semi-continuity and compactness of the spectral scalar solution set mapping under some suitable conditions, and the necessary and sufficient conditions to guarantee the lower semi-continuity of the spectral scalar solution set mapping by virtue of the concept of essential solution.

最后，给出了谱标量解集映射满足上半连续且紧的充分条件及下半连续的充分必要条件。

In terms of the topological invariant in Riemann-Cartan spacetime proposed by Prof. Duan and the φ-mapping topological current theory, we gave the cosmic strings with the complex scalar field and showed that the strings appear in the zeroes of the scalar field. Meanwhile one can find that the length of cosmic strings is quantized in the topological level and the quantum number is determined by Hopf indices and Brouwer degrees.

以段一士教授提出的Riemann-Cartan流形中的新拓扑不变量为基础研究了宇宙弦的拓扑结构，指出宇宙弦只能存在于复标量场的零点处，而且在拓扑层面上是量子化的，而该量子数决定于Hopf指数和Brouwer度。

Compared with scalar wavelets, multiwavelet offers simultaneous orthogonality, symmetry and short support, which is not possible for scalar wavelets, and it plays an important role in the signal processing. Especially in increasing identification efficiency and reducing misdeem ratio of aviation picture in military reconnaissance, multiwavelet plays a more important role.

多小波技术把十分重要的光滑性、对称性、正交性、有限支撑等完美地结合起来，弥补了单小波的不足，为信号处理领域开辟了新纪元，尤其在提高军方侦察航空图像的判读效率、减少误判率方面更具有十分重要的意义。

The 3D numerical simulation of 154kA prebake anode aluminum reduction cells is conducted by the combination of the scalar voltage potential method and two scalar magnetic potential method s.

以标量电位法和双标量磁位法相结合，对 15 4kA预焙铝电解槽磁场进行三维数值计算。

The other in mind: the plane is a simple melody composition, time scalar is the beat, sound scalar is note is two-dimensional vector.

其他想到的：平面构图就是一段单纯的旋律，时间标量是节拍，音响标量是音符，是二维矢量。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational, basic, differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式，给出了这几个不等式的一些应用实例，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational ,basic , differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality and Minkowski inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式和闵可夫斯基不等式以及这几个不等式的应用，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

I can not negligent, he should do what?

我不能不在意了，他要做什么呢？

It is very dangerous to swim in the river alone.

一个人到河里游泳是很危险的。