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MGM is introduced to solve field distributions in 3-D electron optical systems. The difference equation, the discrete form of Laplace's equation, is deduced in 3-D Cartesian coordinates. In view of the smooth effect, MGM combines Gauss-Seidel iteration with a technique known as coarse grid correction. Formulae for restriction and prolongation are deduced and expressed in terms of tensors.

将多重网格法引入电子光学系统中三维静电场的计算，对三维笛卡尔坐标系中的差分方程，采用高斯-赛德尔迭代法求解差分方程组，并结合迭代过程讨论了粗网格的误差校正技术；在不同网格层之间进行场值的限制和延拓，推导了三维静电场中的限制、延拓公式并以张量的形式表示。

This paper gives formulae of computing spatial disturbing gravity using ground data, and presents the formulae of the effect of outer gravity anomaly on the point to be computed based on the theory of Wong and Gore.

给出了由地面重力数据计算外空扰动重力矢量的公式，并根据WongandGore截断理论给出了外区重力异常对计算点影响的公式。

A kind of calculus method that is used to determine the truth-values of propositional logic formulae by means of the dynamic neural networks is proposed. It is not necessary that the formulae be simplified into normal form.

提出一种利用神经逻辑单元动态地构造神经网络的算法来对一些逻辑系统中的逻辑公式的真值进行计算。

By means of essencial amino acid index and animal growth experiments, using the amino acid composition of the muscle in black sea bream juvenile as standard EAA requirement model for fish feed, The effects of nine different formulae of feed protein sources were compared. The amino acid balance and the nutritional value of the protein sources in feed for the juvenile of black sea bream were studied. Two formulae of protein sources were selected to be most effective, It suggests EAAI be an effective and simple assessment standard in studies on valuation of amino acid balance in protein sources of fish feed.

以黑鲷劫鱼肌肉的氨基酸组成作为幼鱼饲料中必需氨基酸需要量的标准模式，通过必须氨基酸指数和生物饲养试验结果相结合，对黑鲷幼鱼的9种不同蛋白源配比的饲料进行了比较研究，对黑鲷幼鱼配合饲料中氨基酸平衡和蛋白质营养价值进行了评估，筛选出2个高效饲科蛋白源配方；表明EAAI是鱼用饲料蛋白质营养价值评估和氨基酸平衡研究的一种简便有效的评价指标。

Expanding a monochromatic electromagnetic beam into the sum over a seriesof plane waves using the spectral representation technique derives the generalforms of the scattering formulae of a monochromatic electromagnetic beamincident on wire grids. The general forms of the scattering power formulae of amonochromatic electromagnetic beam by wire grids are presented by usingPoynting theorem.

应用平面波谱技术将单色电磁波展开成连续平面波序列，由平面波入射金属栅网的散射公式推导了单色电磁波通过金属栅网的散射场一般公式，并应用坡印亭定理推导其散射功率的一般表达形式。

Analysis is conducted on model checking for three valued logic formulae of modal transition system using existing model checking techniques. We reduce the three valued logic model checking problem for modal transition system to the two valued model checking problem under Kripke structure. This reduction is linear in the number of states, size of transition relations, and number of atomic propositional formulae in the new formed model compared with those in the original model. It does not increase the comple...

分析了现有的模型检验技术应用于模态转移系统的三值逻辑公式的模型检验中存在的问题·提出了把模态转移系统转换成Kripke结构的算法以及三值逻辑公式转换成2个二值逻辑的算法，经过转换后可用现有的模型检验技术进行模型检验·用该算法转换后，状态数、转移数和原子命题数目与原模型呈线性关系，没有增加模型检验的复杂度

Finally, after analysis of measuring the residual stress in autofrettage thick-walled tubes, the corresponding formulae and the formulae of measuring residual stress using Sachs method and X-ray method have been presented.

最后还对机械自紧厚壁圆筒残余应力测试技术进行了分析，给出了相应的公式和Sachs内膛削法X射线残余应力测定的计算公式。

In this paper, a nounal test with table L9(34) has been ed for a new type of flap rudder s, and put forward some regression formulae of hydrodynamic performance,such as rudder normal force derivahve fa, the critical angle of attack ah and rudder nounal force coefficient CN, these formulae had been validated by the flap rudder in 9000t cement - carrier ship.

本文通过对新型襟翼舵舵模的L9（34）正交试验研究，给出一套包括襟翼舵法向力导数fα、临界攻角α和法向力系数CN的回归公式，并经9000吨自卸式水泥船新型襟翼舵舵力试验验证，表明计算公式对同类型的襟翼舵是完全适用的。

The results showed that two of the ball cactuses tested could growth well in solution culture , in which the growth rate was significantly higher than or equal to that in peatmoss culture. Among the four solution culture formulae , formula 4 had the highest biomass increment and uptake of N , P and Kfor Ferocactu horridus. The biomass of Echinopsis calochlora did not differ significantly among the four formulae , but significantly increased higher than medium culture. This study indicated that ball cactuses could grow well in nutrient solution culture.

结果表明：经100 d 种植，供试的仙人球在这4 种营养液配方静置水培中均能正常生长，而且生长速度显著大于基质栽培或与之相当；在4 种营养液配方中，巨鹫玉在完全硝态氮的配方处理中球体质量的增加比基质栽培的快1 倍以上， N、P、K的吸收量也显著高于其它含有铵态氮配方的；而金盛球在所有营养液配方中生长量均显著高于基质栽培，球体质量增长量超过基质栽培的1 倍以上， 4 种配方间无显著差异。

Japonica have 2n=26,NF=52 and 5＋8 karyotypic formulae.Microhyla ornata has 2n=24,NF=48 and 6＋6 karyotypic formulae.

泽蛙、日本林蛙都为 2n=26，NF=52，核模式5＋8；饰纹姬蛙 2n=24，NF=48，核模式6＋6。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。