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Secondly,we firstly study the properties of functions with values in a uni-versal Clifford algebra 〓,and we obtain the following very important basictheorems in universal Clifford analysis:Cauchy's integral formula,Cauchy's inte-gral theorem,the mean value theorem,the three versions of the maximum mod-ulus theorem,the Taylor's expansion,the Laurent's expansion and the residuetheorem etc..All of these results generalized the classical results.

第二，本文所讨论的各种函数性质以及所得的结果都在泛Clifford代数〓上所做的工作，它一方面包含了从前在泛Clifford代数〓上所做的工作，所得到的结果更广泛、更漂亮、更自然，另一方面，本文也是迄今为止第一次建立起来了在泛Clifford分析中与经典函数论相对照处基础地位的LR正则函数在特异边界上的Cauchy积分公式、Cauchy积分定理、平均值定理、极大模原理的三种表达形式、Taylor展式、Laurent展式留数定理等深刻的结果。

To describe the properties of the interphase,we presentthe generalized interlayer model,based on which the various crack problemsare reduced to correspondent Cauchy singular integral equations by virtue ofboundary conditions and dislocation density functions.

适应这一点，我们给出广义界面层模型以描述界面相物质的性质。

In many fields of technique and engineering,a lot of models can be formulated as following generalized abstract cauchy problem of the forms.

在许多工程和技术领域的研究中，许多现象都可以抽象成如下广义抽象柯西问题。

We generalized the corresponding results of Cauchy problem to the initial boundary value problem on unbounded domains successfully.

把Cauchy问题中的相应结果推广到了无界区域上的初边值问题。

The generalized central limit theorem shows that these heavy-tailed fluctuations accumulate to a stable probability distribution.

如果尾不是太厚，则方差是有限的，且我们可以找到常见的正态极限分布，即稳定分布一种特殊情况。

The author generalized the results of the centralizer of matrix over complex number field to Real Quaternion field .

推广了数域上的矩阵中心化子理论，得到了实四元数体矩阵上的中心化子理论

Generalized Chebyshev function filter with transmission zeros in any-where has the advantage of high .

可以任意引入传输零点的广义切比雪夫函数滤波器，具有矩形系数高、带宽窄、功率容量大等优良性能，是目前国内外研究的热点。

In order to improve the validity of identifi cation of digital image origin and predetermine accurately threshold of identification,a new probability density function of generalized chi square distribution is constructed within0,1 for asymmetrical distribution of noise correlation.

为了提高鉴别数字图像来源的正确性，正确设置判别阈值，针对噪声相关性的非对称分布，在0，1区间构造了一个广义chi平方分布的新函数，并提出了一种利用广义chi平方分布来描述噪声相关性的非对称分布和利用广义高斯分布来描述噪声相关性的对称分布的新方法。

Because corticosteroid can modify the immunological process which is considered the major mechanism involved in AHS, it is used to treat AHS clinically. However, corticosteroid therapy may have deleterious effect (e.g., delayed healing of cutaneous lesions, infections, prolonged hospital stay). Therefore, the use of corticosteroids for AHS remains controversial. We reported a 54-year-old man who had underlying diabetes mellitus with chronic renal insufficiency, hypertension and hyperlipidemia. Allopurinol 100mg twice a day was initiated one month prior to admission. After taking the drug for 24 days, he developed a generalized mild itchy eruption on the trunk and upper extremities followed by chillness, fever, ocular discomfort and painful oral ulcer over one-week period and was admitted to the hospital. A skin biopsy revealed changes consistent with Stevens-Johnson syndrome.

本文报告一位54岁的男性患者，有高血压、高血脂、糖尿病及慢性肾脏功能不全的病史，最近发现有高尿酸血症(11.1mg/dL)而开始服用Allopurinol，在服用24日后，因为逐渐发生皮肤红疹搔痒、口腔溃疡、发烧、畏寒以及眼睛不适，一周之后到医院就医，经诊断为服用Allopurinol所造成之史帝文森－强生症候群(Stevens-Johnson syndrome)，因而在皮肤科住院接受治疗，由於病人有高血压、高血脂及糖尿病，所以入院后仅以支持疗法，并未给予全身性类固醇，然而病人之病况恶化，并有肾功能恶化，因而於住院两日后，转进肾脏科病房，在使用全身性类固醇治疗之后，病况持续改善，并在2周后出院。

It also gives the crossing numbers relation between Circulant Graphs Cn(1,k) and generalized Petersen graphs.

本文还给出了循环图C_n(1，k)和广义Petersen图P的交叉数关系。

This matter overthrew all basises I learned from Sunday school .

这件事把我从周日学校学到的所有道理都颠覆了。

It's one of the cruel ironies of aging: if you want to remember your favorite restaurants, the less you should eat at them.

这是一个老化的残酷讽刺：如果你想记住你最喜欢的餐馆，你应该更少吃到它们。