查询词典 double angle formulas

Based on dynamic equilibrium equations of three-dimensional elasticity, a state equation was established for orthotropic foundation plates using double Fourier series, in which no assumption about stress or displacement modes was made. Analytical solutions and frequency equations of unified formulas were presented for thin and thick laminated foundation plates.

从三维弹性力学动力平衡方程入手，抛弃应力或位移模式的人为假定，利用Fourier双重级数，建立了正交各向异性地基板的状态方程，并分别给出了地基上任意层厚薄板静力问题的统一解析式和动力问题的频率方程。

The Application of Graphic Solution in Industrial Design;2. A graphic solution to ensuring the protection range of lightning rod is put forward instead of the complicated formulas,and the methods are discussed of the protection zone of single lightning rod,double and four lightning rods.

针对避雷针设计过程中计算公式过于复杂的问题，提出了利用平面几何作图求解避雷针联合保护范围的方法，给出了单支、双支和四支避雷针保护范围的作图解题步骤，并利用计算机图形仿真，给出了避雷针保护范围的空间结构图形。

A graphic solution to ensuring the protection range of lightning rod is put forward instead of the complicated formulas,and the methods are discussed of the protection zone of single lightning rod,double and four lightning rods.

针对避雷针设计过程中计算公式过于复杂的问题，提出了利用平面几何作图求解避雷针联合保护范围的方法，给出了单支、双支和四支避雷针保护范围的作图解题步骤，并利用计算机图形仿真，给出了避雷针保护范围的空间结构图形。

The main research contents are stated asfollow: 1. Simplified analysis method of space grids structuresDouble-layer space grids have been assumed as sandwich plate, and are analyzed bythe nontraditional theory of plate with consideration of shear deformation and threegeneralized displacements. Using the theory of energy variation, simplified methodsfor bending, stability and vibration analysis of double-layer space grids have been putforward based upon the idea of split rigidity. The formulas for calculating internalforces, displacements, critical load and natural frequency have been given out. Set thestable cables and bearing cables in hyperbolic paraboloid cable nets are all replaced bytruss-cable to form truss-cable nets structures. Natural vibration analysis method fortruss-cable nets structures has been put forward using the energy variation method andRayleigh method.

主要内容包括： 1、空间网格结构静动力简化分析方法把网架结构简化为夹层板，采用考虑剪切变形的具有三个广义位移的平板弯曲理论进行分析，基于分解刚度思想利用能量变分原理提出了网架结构弯曲、稳定与振动分析的简化计算方法，给出了位移、内力、屈曲临界荷载和固有频率的计算公式；将双曲抛物面索网中的稳定索与承重索均用劲性索代替形成劲性索网结构，基于能量变分法和Rayleigh法给出了劲性索网结构固有振动分析的简化计算公式。

By using penalty function method, the iteration formulas of optimal design variables are derived, and the calculation procedure of the double iterative method is given in this paper.

利用罚函数外点法导出了优化设计变量的迭代计算公式，并给出了获得最优解的二重迭代法计算步骤。

In this prospective double-blind study from Columbia University in New York, 68 infants weighing 750 to 1,600 grams were randomized to receive one of five formulas differing only in the quantity (130 or 155 kcal/kg/day) and quality of nonprotein energy.

在这份来自纽约哥伦比亚大学的前瞻性双重盲目研究中，六十八位体重七百五十克到一千六百克重的婴孩，随机分配接受五种仅在非蛋白质热量上数量（130 or 155 kcal/kg/day）与质量有所差异的食谱餵食。

The multiple method of scale is used to obtain the averaged equations in primary parameter resonance. From the averaged equations, the theory of normal form is applied to find the explicit formulas of normalform associated with a double zero and a pair of pure imaginary eigenvalues with the aid of the Maple program.

利用多尺度方法得出了主参数共振情况下的平均方程，利用Normal Form理论对具有双零特征值和一对纯虚特征值的平均方程进行了简化，得到了平均系统的Normal Form。

A series of counting formulas for circle simple arc two bounds combination and circle double arc two bounds combination were obtained.

提出了有关环状单弧限距组合及环状双弧限距组合的一系列计数公式。

Since the contribution of the spin-orbital coupling interaction of the ligand to optical and electron paramagnetic resonance spectra can not be neglected, the optical and EPR spectra g factors g‖、g⊥ and hyperfine structure constant A‖、A⊥ of LiHSO4:VO2+ crystal are calculated from the high-order perturbation formulas on the basis of double-spin-orbital coupling model and crystal-field theory for 3d1 ion in tetragonal symmetry.

考虑到配体离子的自旋－轨道耦合作用对光谱和电子顺磁共振谱的贡献不可忽略，采用3d1离子在四角对称下基于双自旋－轨道耦合模型的高阶微扰公式和晶场理论公式，理论计算了LiHSO4：VO2+晶体的光谱和电子顺磁共振参量g因子g‖、g⊥和超精细结构常数A‖、A⊥。

Especially short-hilted broadsword double cast switch and double knife double

尤其是单刀双掷开关和双刀双

If you were not , and OS X just booted normally, have no fear.

如果你没有，和OS X刚刚启动通常，没有恐惧。

I only want to preserve our all .

我只想保存好我们的一切