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To generalize convex functions, Zalinescu introduced the concepts of uniformly convex functions in 1983, and discussed some properties for them;under the conditions of upper semicontinuity and lower semicontinuity, some equivalent conditions were given by Yang in 1998, so that criteria for uniformly convex functions are simplified.

作为对凸函数的推广，1983年Zalinescu提出了一致凸函数的概念，并讨论了它们的一些性质特点；1998年Yang在上半连续和下半连续条件下给出了一致凸函数的一些等价条件，简化了一致凸性函数类的判别条件。

Figure 1.5 is a simplified illustration of memory for a machine with a 16-bit word size.

图1.5是一个以16位（2 字节）为一个字的机器的记忆体的简化示意图。

Firstly, the Signal Noise Ratio characteristic of matched filter despread symbol and the distribution of coherent phase estimation error are derived. Secondly, the exact integration formula of BER for fading channel is presented, moreover, by using the Maclaurin series expansion of MPSK conditional Symbol Error Rate, the simplified BER approximations for BPSK and QPSK are derived over AWGN, Nakagami-m fading and Rayleigh fading channel.

首先推导了匹配滤波解扩符号的信噪比特性和相干相位估计误差的分布；然后给出了衰落信道中误比特率的精确积分式，并利用MPSK条件误符号率的麦克劳林级数形式，推导了AWGN，Nakagami-m衰落和瑞利衰落信道中BPSK，QPSK误比特率的简化逼近式。

Firstly, this paper introduce the present and prospective development, moreover compared advantage and short of different roll forming theory. Subsequently simplified process and analyzable model of channel section according to deforming elastic-plastic macro deforming finite element theory.

本文首先介绍了国内外关于辊式冷弯成型理论研究的现状与发展趋势，并比较了各成型理论的优缺点，随后在分析槽钢辊弯成型特点及其变形规律的基础上，以弹塑性大变形有限元理论为基础，对槽钢成型过程做出合理简化，建立分析模型，利用MARC软件对槽钢辊弯成型进行了三维有限元数值模拟分析。

This paper simplified process of spinning head according to elastic-plastic macro deforming finite element theory. The FEM software MARC is used to simulate the forming processing of thick wall head in drffereut teixiperature conditions in warm spinning.

文中，以弹塑性大变形有限元理论为基础，对封头温旋压成形过程做出合理简化，建立分析模型，利用非线性有限元分析软件MARC对不同温度状态下的厚壁封头温旋压成形过程进行了数值模拟。

It has been put forward and established the macroscopical simplified model.

3提出并建立了筒体结构的宏观简化模型。

A simplified mathematical model of Superconducting Magnetic Energy Storage system for the analysis of transient voltage stability is established.

建立了超导储能装置在暂态电压稳定性分析中的简化数学模型。

The "Malthusian catastrophe" is a simplified version of the tipping point we are now approaching.

我们正在*近"马尔萨斯灾难"。如今所讨论的不仅是粮食的生产，而且是地球上生命的基础。

Based on the simplified Abkowitz model and the idea of MMG model, a hybrid maneuverability model is presented.

基于简化的Abkowitz模型和MMG模型的思想，提出了一种混合的操纵性模型。

Schwartz (1974), a simplified method to calculate higher order waves is developed by using mapping transformation method and optimization algorithm in this paper.

该方法可以方便的用于海洋结构物在波浪作用下的运动与荷载计算，具有工程上可以接受的精度。当前，海洋结构物波浪荷载的计算，大多限于线性波理论及低阶的非线性波理论，有时是不能满足工程需要的。

Mr. Putin said there were signs of genocide against the Ossetian people.

普京说，有迹象表明对南奥塞梯人进行了种族清洗。

What I'm trying to say, Tristan is...

特瑞斯坦。我想说的是。