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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。

Observe the effects of decreasing blood sugar and kidney-enriching formula to renal structure and function of diabetic nephropathy model of rat caused by STZ, hyperlipin feed and renal hemiresection. Reveal its mechanism on the aspect of pathology, carbohydrate metabolism, renal hemodynamics and blood lipin through the contradistinctive and classified research on the medicinal constituent of the formula.

观察降糖益肾方对链脲佐菌素、饲喂高脂饲料、单侧肾切除方法诱导的糖尿病肾病大鼠模型肾脏结构与功能的影响，并就组方内滋阴益气、活血两大类药物进行对比研究，从常规、超微病理结构、糖代谢、肾脏血流动力学、血脂等方面深入探讨降糖益肾方的作用机制。

Now he worked in ajoint venture.

现在他在一家合资企业工作。

More troops in Afghanistan won't change any of the foregoing.

更多的在阿富汗的军队也不会改变之前的状况。