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By the analysis of stress distortion of circular load symmetry flat plate, starting from the entire deriving course of thickness calculation formula, derives the simple formula of calculating blind flange thickness, which is fit for oral calculation of hydrostatic pressure testing of in-situ equipment and pipeline.

通过对对称载荷圆形平板的应力变形进行分析，从其厚度计算公式的整个推导过程入手，归纳整理出适合于施工现场设备及管道等试压时，所需的盲板厚度的简易计算公式，使其达到现场口算化。

In this paper, the force-energy formula which is suitable for double groove ball section ring is deduced based on force-energy formula of closed rolling... of rectangular cross-section ring by using micro-element method.

本文在矩形截面环件闭式辗扩力能公式的基础上，采用微元法推导了适合双沟截面环件的辗扩力能公式。

To study the mechanism of photobleaching for monascus pigments, a monascus red pigment (resolved in water, molecular formula C19H28N2O5) is radiated with UV-light until colorless, the molecular formula of the colorlessness is determined as C14H9NO6 by infrared spectrometry, mass spectrometry and hydrogen nuclear magnetic resonance.

为了探明红曲色素光照褪色的机理，采用紫外灯照射一种红曲红色素(分子式C19H28N2O5)的水溶液至无色，经红外光谱、质谱和核磁图谱分析，鉴定其褪色后物质的分子式为C14H9NO6。

Base on the analysis of superposition theory, a new calculation theory of the column of CFST is brought forward and the calculation formula is derived. Under the deformation compatibility condition, the calculation formula for distribution coefficient of axial compression is derived.

在分析现有叠加理论计算方法的基础上，提出了新的方钢管混凝土柱计算理论，并推导了计算公式；同时在变形协调条件下，推导了其轴压力分配系数计算公式；在此理论基础上，确定了十字形截面方钢管混凝土组合异形柱换算长细比的计算公式和钢管稳定性提高系数。

Color quantization experiment of highly complex color images demonstrates that this new color difference formula's performance is as better as CIELUV color difference formula while it saves memory and shortens the calculation time.

通过高复杂度图像的颜色量化实验证明该色差公式在颜色量化中的性能达到了CIELUV色差公式的水平，有效地节约了内存空间和计算时间。

Based on analyzing and comparison of the several kings of theoretical formula and analyzing the composition and influence factor, this paper improves a common formula used in calculating jacking force in pipe jacking.

本文针对当前非开挖技术基础理论研究滞后于工程实践的现实，对顶管的推力理论、水平定向钻进的管道回拖力及其水平钻进过程中的孔壁失稳机理等问题进行了研究。

Though studying some concepts and formulas in theory of probability,we give the definition of conditional independent between two random events and the formula probability in complete events set,and a simplified formula for density s function in n random variables is given.

通过对概率论中有关公式的研究，给出了条件独立的定义、推广了全概率公式和贝叶斯公式，并给出了n维随机变量函数的密度函数的简化计算公式。

Thirdly, by applying Frenchet derivative analysis, the iteration formula is derived to solve the constrained functional minimization problem, essentially the formula is a level set equation, in which the motion velocity of the level set is the shape sensitivity of material interfaces.

为了有效处理违反约束，这里还提出了在违反约束水平集的负法凸锥内构造水平集的法向修正速度的返回映射算法，它可以方便地处理多材料、多约束和含有非设计域的结构设计问题，使初值给定容易。

By applying Frenchet derivative analysis, the iteration formula is derived to solve the constrained functional minimization problem, essentially the formula is a level set equation, in which the motion velocity of the level set is the shape sensitivity of material interfaces.

这样就把材料界面表示为一组高维函数的水平集，使拓扑优化问题转化为材料界面追踪问题，这时材料界面的形状敏度就(来源：9aABb5C论文网www.abclunwen.com)是水平集的运动速度。

Both continuous paraxial approximation formula and two order discrete paraxial approximation formula are developed for one way wave motion transmitting apparently along normal direction based on kinematics model and local polynomial interpolation function.

引言 Clayton和Engquist在1977年和1980年提出的傍轴近似公式[1，2]是迄今为止最具代表性的局部人工边界条件之一。但是上述傍轴近似公式是从特定的波动微分方程出发推导建立的，因此其普适性受到限制。

A historical region of southwest France between the Pyrenees and the Garonne River. The duchy of Aquitaine was joined with France after the marriage of Eleanor of Aquitaine to King Louis VII in1137, but its possession was disputed after her subsequent marriage to Henry II of England.

阿基坦法国西南部一个历史地区，位于比利牛斯山和加隆河之间，在1137年阿基坦的埃莉诺与国王路易斯七世结婚之后阿基坦公国加入法国，但当她再嫁英国亨利二世后，其归属权便受到争议

There are moments when I look at the smiling , happy faces of my expectant staff and wonder how they will cope when confronted by an outraged housemaster along with an unrepentant and recalcitrant bleached blond teenager in 18 years ' time .

有时候，我看着那些满怀期待的员工微笑，幸福的脸，想着当他们遇到一位愤怒的宿舍管理员和一位不知悔改，叛逆，而且将头发染成白色的18岁少年时，他们会如何处理。