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Based on the Frenet-Serret formulas which are very important in the vector and tensor analysis theory, the force and moment equilibrium equations are established by the technique of apparent components system.

以在空间曲线理论中起重要作用的富列耐—塞勒(Frenet—Serret)公式为基础，把BHA所受的力及力矩表示为三维非正交坐标系中视分量的形式，建立了力和力矩平衡方程。

Two merging methods of Bézier curves are generalized to tensor product Bé zier surfaces, we propose two methods to approximate two pieces of adjacent tensor product Bézier surfaces by a piece of tensor product Bézier surface. We offer the explicit formulas of the merged tensor product Bézier surfaces with all kinds of merging conditions.

同样，Bézier曲线的两种合并方法也被成功的推广到张量积Bézier曲面上，得到把两片相邻张量积Bézier曲面合并成一片张量积Bézier曲面的两种合并方法，并给出在各种合并条件下的合并曲面控制顶点的显示表示式。

Two above methods are generalized to tensor product Bézier surfaces and triangular Bézier surfaces, we give two approaches of degree reduction for tensor product Bézier surfaces, each of which reduces a given degree n×m tensor product Bézier surface to a n〓×m〓 one, and two methods of degree reduction for triangular Bézier surfaces, which reduce a given degree n triangular Bézier surface to a degree m one. The explicit formulas of control points for reduced tensor product and triangular Bézier surfaces are obtained respectively.

张量积Bézier曲面的两种降阶方法均可把n×m阶张量积Bézier曲面一次降阶为n〓×m〓阶张量积Bézier曲面；三角Bézier曲面的两种降阶方法均可把n阶三角Bézier曲面一次降阶为m阶三角Bézier曲面，并给出降阶张量积Bézier曲面和降阶三角Bézier曲面控制顶点的显示表示式。

In this paper the different methods ti find general term formulas of power series sum functions,by means of which coefficients are higher arithmetical of geometrical sequence .

利用差分法导出了求幂级数和函数的一个通项公式，用它能求出系数为高阶等差数列和高阶等比数列的幂级数∑∞n=0 anxn的和函数

The perturbation formulas of the electron paramagnetic resonance parameters g factors g(subscript //), g(subscript ⊥) and the hyperfine structure constants A(subscript //), A(subscript ⊥) are established for a 3d(superscript 1) ion in tetragonally distorted octahedra, by including the contributions from the p-and s-orbitals as well as the spin-orbit coupling of the ligands based on the cluster approach.

采用离子簇模型，通过分析配体轨道和旋轨耦合作用的贡献，建立了改进的3d1离子在四角畸变八面体中电子顺磁共振参量的微扰公式，能级间距可由重叠模型和局部结构数据给出。

Both formulas also promote optimal thermogenesis, the burning of calories for fuel.

两种配方也都促进最佳的生热效应，燃耗卡路里（蛋白质、脂肪、碳水化合物）作为能量。

In this system, the mathematic model of infrared thermometry calculation is established, and appropriate formulas for error analysis and calculation are obtained.

本文结合红外测温技术和非致冷焦平面热成像技术原理，开发并完成了一套非致冷红外焦平面热成像测温系统。

Using the opened thermosiphon of 38x3 as experimental element and water as working fluid,the characteristics of dynamic low load boiling,stable severe boiling heat transfer coefficient and critical heat flux are gotten for the opened thermosiphon at the pressure of 0.02-0.1MPa and 0.1-0.8MPa respectively,which makes up the drawback that the opened thermisiphon has not yet accurate boiling heat transfer relationship formulas.

本文以工程上常用的Φ38×3的开口封底为实验元件，以水为工质，对开启式热管内的动态低负荷沸腾、稳态旺盛沸腾及临界沸腾特性进行系统的可视化实验研究，实验压力为0.02～0.8MPa，实验得出了Φ38×3的开口封底管在工作压力为0.02～0.8MPa和0.1～0.8MPa下的管内沸腾传热系数及临界热负荷计算关联式，弥补了开口封底管——这一新型传热元件尚无准确的沸腾换热关联式的缺陷。

The formulas and simulation results related to the adjustable upper and lower threshold voltage ar...

文中分析了该电路的工作原理，并利用HSPICE仿真验证其高精度以及高稳定性。

Based on the heat conduction theory, the FEA theore tical formulas of temperature field and thermal stress are deduced in this paper.

本论文从热传导理论出发，推导出温度场和温度应力的有限单元法理论公式。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新