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The broad fact, therefore, remains certain that no ex cathedra definition of any pope has ever been shown to be erroneous.

广大事实上，因此，仍然是肯定的是，没有前cathedra的定义，任何教宗以往任何时候都被证明是错误的。

The asymptotic behavior of the weak solution is obtained when an enthalpy function is made in L(superscript 2 subscript +) and a differential inequality is proved after using Cauchy inequality, Poincare inequality and the definition of weak solution.

在L(上标2 下标+)空间上构造了一个熵函数，利用带ε的Cauchy不等式和poincare不等式及弱解的定义，推导出了此函数满足的一个微分方程不等式，通过求解微分方程，证明了弱解的渐近性问题。

This paper, from the definition of causative, confirms the scope of causative an d expounds its form and meaning.

本文从使役结构的基本概念入手，确定使役结构讨论的范围，并阐述了使役结构具有的形式以及表达的意义。

Therefore,the complicated problem is simplified into asolving procedure of a group of infinite dimensional algebra equations.In thefact,not only is a general solution of the problem obtained,but also a method tocompute the dynamic thermal stress distribution at the surface of the cavity afterthe definition of the coefficient of the dynamic thermal stress distribution isgiven.

事实上，不但得到了单连通区域或复连通区域型二维孔洞表面的动态热应力分布问题的一个一般的解析解，而且，在定义了非耦合和耦合无量纲化动态热应力分布系数后，推导出计算单连通区域或复连通区域型二维孔洞表面的动态热应力分布的方法。

This CDC definition of a three to six month window period has been commonly used for a number of years.

CDC对于这个三到六个月的窗口期定义已经被广泛的采用了很多年了。

"In spite of Charles Schulz's Peanuts, being the definition of a mainstream, co-opted comic strip, it would seem that the cynical, iconoclastic commix centi hold it as close to their hearts the rest of America."

"尽管舒尔茨的《史努比漫画》被定义于主流一类，细看其中，不乏愤世嫉俗。打破习俗的隽语，使之贴近美国人，乃至全世界人民的心灵。"

In this paper,starting with the concept of risk,trying to take the theory of probability,central limit theorem,definition of optimal statistic estimate and economic theory as the basis and according to the concrete situation of the natural gas exploration project,the formula to quantitatively determine the risk is derived.

文章从"风险"的概念入手，尝试以概率论、中心极限定理、最优统计估计量的定义和经济理论为基础，结合天然气勘探项目的具体情况，推导出了定量测定风险的公式。

Statistical characteristics include Tectonic Density, Degree of Central Symmetry, Skewness Index, Degree of Tectonic Optimal Direction, Power Spectrum Density, Cubic Entropy and so on. The former four indexes are implemented in this paper; Structural characteristics show the characteristics of spatial distribution of geological bodies. In chapter four, a quantitative method for describing geological structure by using the structure "tree" is studied and implemented, including its formalized definition and the measurement of the similarity of different "trees".

统计特征有构造密度、中心对称度、失真指数、优益度、密度功率谱、方位熵等等，本文实现了前四个参数值的提取；结构特征是反映地质体空间分布的结构特点，第四章研究和实现了用"树结构"描述地质结构的定量方法，包括结构的形式化描述和结构的相似性度量。

The definition of Centre of Mass and NMI feature is proposed and the principle and methods of Threshold calculation, Image segmentation, Target recognition and tracking are presented.

文章给出了运用连通线多级切割方法实现阈值求取、图像分割、目标识别与跟踪的技术技巧。

From the viewpoint of axial symmetry or centrosymmetry between t and t in logic, this paper makes a minute analysis about the negation operation under different conditions in 1-order uncertainty, puts forward negation operation axiom, and does a systematic research on the definition, properties, and generation of negation operation.

从t与t在逻辑上具有轴对称性或中心对称性出发，详细分析了1阶不确定性中不同条件下的非运算，提出了"非"运算公理，系统研究了"非"运算的定义、性质和构造。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。