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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。

The development direction changed direction according to the four-wheeler, the domestic and international company changes direction organization to control to the four-wheeler currently main adoption of is a numeral control, this is owing to a lot of advantages of numerical control:the procedure turn a control, the controller carries on the processing of operation and numerical information according to the control regulation designed, mainly passing procedure to carry out, if change control regulation need to change software, but need not change the hardware structure of system: control the accuracy is high, in the emulation the control the system, the accuracy of the controller from the accuracy of the component but settle, numerical controller accuracy from word long decision;Stability good;The software replies to use, needing a hardware environment of using the homology realization in the emulation the system, the numerical controller is a procedure control, the sub- procedure mold piece which need to be designed and write to carry out its model, can immediately carry out several links of functions expediently.

目前各个厂家大多采用的是PLC、单片机应用于四轮转向控制器中,功能基本能够实现,相比较之下,信号处理能力较强的数字信号处理器各方面均性能优于以上三种处理器。DSP是新世纪数字化革命的核心。它是一种独特的微处理器,具有可编程性,且实时运行速度远远超过通用微处理器。强大的数据处理能力和高速的运行速度,是DSP最值得称道的两大特色。DSP芯片是一种特别适合进行数字信号处理的微处理器。它强调运算处理的实时性,因此除了具备普通微处理器所强调的高速运算和控制功能外,主要针对实时数字信号处理,在处理器结构、指令系统和数据流程上做了很大的改动。它具有灵活、精确、可靠性好、体积小、功耗低和易于大规模集成等优点。

Dsp Toolbox, the Matlab language and have a basic arithmetic operations, it is mainly related to the matrix calculation.

dsp工具箱,matlab语言实现的,具有基本的运算操作,主要涉及的是矩阵运算。

From the point of view of measure theory, this paper gives the unified definition of measurable real fuzzy set-valued function and n-dimensional measurable real fuzzy set-valued function, and discusses the fundamental properties of them and their invers fuzzy set-valued function by combining with fuzzy σ-algebra.

5研究了有界闭复模糊数的四则运算、交并运算以及上下确界、上下极限与极限运算的若干基本性质

In this paper,by analyzing the basic principle of Residue Number System,an improved DNA representation of number is presented and applied in the arithmetic computation based on the Adleman Lipton model,and the computing model and concrete procedure are presented.

基于Adleman-Lipton模型,分析了剩余数制的基本原理,改进了整数的DNA链表示,并将其应用于DNA算术运算,给出了剩余数制下进行DNA算术运算的算法模型。

On the basis of a unified definition of the dual operation and theself dual operation, the connection s of the su(2,2|1) main cluster was used as the fundamental field variables to construct the self dual Lagrangian of conformal supergravity.

利用内外指标的对偶运算及自对偶运算的统一定义,将su(2 ,2 |1)主丛联络作为基本场变量来构建自对偶的共形超引力拉氏函数。

Concrete algorithm is firstly recognizing 2D feature obtained from geometric entities, then on the instruction of the shape analysis combining with the projective rulers of mechanical drawing, matching three 2D view features, creating 3D basic model, forming a operation list, finically finished 3D reconstruction.

在重建算法上,利用提取的几何实体进行二维视图特征的识别,在形体分析法的指导下,结合制图中的投影原则匹配三维基本形体,最后按照基本体素的运算序列经过复杂的布尔运算完成重建。

The main calculation in the particle image matching algorithm is to have the two visual seriate images taken the cross-correlation arithmetic based on the fast fourier transform. This paper discusses the basic principle of the cross-correlation arithmetic in detail, discuss each stage of its produce and development and also discuss the thinking, the merit and the defect of each algorithm. On the base of all these discussing, we confirm our algorithm and realize it in programming with C++.

粒子图像的匹配算法的主要运算是将两连续的视频图像进行基于快速傅里叶变换的互相关运算,本文详细论述了相关算法的基本原理,它的产生和发展的各个阶段,各种算法的思路和优缺点,在此基础上确立了自己的算法并以C++编程实现。

The pipelined CORDIC architecture is very suitable for FFT butterfly operation because of its high throughput and regularity, but it will consume lots of resources,this article presents an improved architecture of CORDIC pipeline,starting with the property that the FFT rotary factor is fixed but not arbitrary,and according to the mapping between the basic rotational angle of CORDIC and scale factor and the rule for transform among the scale factors.On the condition that the velocity of FFT butterfly operati...

CORDIC流水线结构因其高吞吐率及规整性,而很适合于FFT蝶形运算,但其缺点是耗资源多,本文从FFT中旋转因子固定不任意的特点出发,根据CORDIC基本旋转角度与缩放因子的对应关系和缩放因子之间的转换规律,对CORDIC流水线结构进行了改进,在蝶形运算速度不变的情况下,进一步减少所耗资源,在字长为16位的FFT中,每个旋转因子可用25位的控制序列来替代,从而使每个旋转因子的存储空间由32位减少到25位。

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推荐网络例句

By the time of its fall, most of the prisoners were writers who had written against the corruptions of the government.

到它被攻陷的时候,里面多数的犯人是写了反对政府贪污文章的作家。

The most obvious variation to ovum morphological character was that the color was changed from light green to sepiaceous in embryonic development, and all the ovums were almost hatched after 96h.

在胚胎发育过程中卵的形态特征最明显的变化是颜色从淡绿到深褐色,卵在发育96h后卵基本全部孵化。

There was a conflict between plebs and patricians in ancient Rome in 494BC.

在公元前494年,罗马发生了一次平民反对贵族的斗争。