查询词典 arbitrary

With the knowledge of linear algebra, general formula for arbitrary order Taylor finite difference has been derived. In this paper, the analysis of spectral property and computational error of arbitrary order TFD is presented in detail. Then it is applied into the numerical solution of Maxwell's equations. Stability condition and numerical dispersion relation are derived.

本文借助于采样定理，详细分析了不同阶Taylor中心差分格式的谱特性以及计算误差，并将任意阶Taylor中心差分格式用于数值求解麦克斯韦方程中，严格导出了稳定性条件和数值色散关系的表达式，引入了新的误差定义来衡量算法的好坏。

By shrinking the circular magnetic lines of force to a point, the second half-step is performed and the whole step yields a connection between the changes of the magnetic and electric fields at an arbitrary point in space and at an arbitrary instant.

而这整个一步便得出，在空间中任何一点以及任何时刻的磁场和电场的变化之间的联系。

Firstly, we prove the existence and the uniqueness of the hyperfocal subalgebra when the coefficient field is split for a defect pointed group; then, considering the structural pattern of source algebras over arbitrary fields, by means of G-acted groups, we reduce the existence and the uniqueness of the hyperfocal subalgebra over an arbitrary field to the case that the coefficient field is split for a defect pointed group and the inertia group stablizes a hyperfocal subalgebra.

首先我们证明了如果系数域对亏点群是分裂的，则源代数的超聚焦子代数存在且共轭唯一；然后通过考虑任意域上源代数的结构模式，以G-作用群为手段，将超聚焦子代数的存在性和唯一性归结为系数域对亏点群是分裂的情况下惯性群稳定的超聚焦子代数的存在性和唯一性。

Of arbitrary isogon of arbitrary linear symmetry transformation , breaking the forme .

这是关于任意正多边形关于任意直线的对称变换，打破了以前的只能对于一个固定的直线的对称变换，省去了关于固定直线对称时每次都要输入的麻烦

Of arbitrary isogon of arbitrary linear symmetry transformation , breaking the former only for a fixed linear symmetry transformation , eliminating the symmetry of the fixed line every time when the importation of trouble

详细说明：这是关于任意正多边形关于任意直线的对称变换，打破了以前的只能对于一个固定的直线的对称变换，省去了关于固定直线对称时每次都要输入的麻烦

The practical problem of the arbitrary plane angle (the edge of the angle is the line at arbitrary position) in space and its projective angle is analyzed and studied in this paper.

本文对空间任意平面角（角边可为任意位置的直线）及其投影角这一具有实用性的几何问题进行分析研究；用几种不同的解析方法得出在各种情况下的关系式，从而能以最少的参变量，进行准确而简便的计算。

Solid visualization is a key issue for conceptual product design. we present a new "recursive" algorithm for triangulating the data points scattered in 3D planar region with arbitrary polygonal boundary and arbitrary number and shape of inner features, which is fit for the displaying of the conceptual solid.

提出一种针对任意多边形边界内嵌任意形状、任意多个内特征的"递归式"三维平面三角划分方法，该算法主要应用于产品概念设计中零件的可视化处理。

The free volume cell theory was applied to derivative the formula of activity coefficients of liquid binary solution at arbitrary temperature. The Monte Carlo algorithm was employed to calculate the non-liner equations, then the free volume parameters were directly correlated to the activity coefficients of liquid binary, ternary, quaternary and quinary solutions at arbitrary temperature. The three dimensional diagrams of a-x-T diagrams representing the changes of activity with those of temperature and concentration were plotted.

由自由体积胞腔理论推证了某温度下两组分的活度系数关联式；引入MonteCarlo非线性方程解法，通过无限稀释溶液的实验活度系数数据直接得到自由体积参数和二元系及多元系液态金属溶液在任意温度下全浓度范围内的活度数据，构筑了直观反映活度随温度和浓度变化的a-x-T三维图形。

In this paper, a model forwheel/rail with arbitrary profiles contacting in an arbitrary point is built to calculate contact area and contact surface stresses. Then bytakingthe calculated surface stresses as applied load, the stresses inside the railhead are calculated through the three dimensional elastic-plastic finite element method.

建立了一个任意形状钢轨和车轮在任意点接触时，接触面形状和接触面力的计算模型，然后把计算出的接触面力作为外载施加到三维弹塑性有限元模型中，进行轨头内部应力的计算，从而构成一个完整的计算方法。

The real borehole axis is not an ideal straight line, but a helical line with arbitrary curvature, so the contact problem between the down-hole string and the borehole face is a kind of arbitrary contact nonlinear mechanics problem, which can not be solved by the common methods from material mechanics and structural mechanics.

实际的井眼轴线不是理想的直线，而是一条任意曲率的空间螺旋线，因此井下管柱和井壁的接触问题是一种随机接触的非线性力学问题，用一般的材料力学和结构力学方法是不能解决这类问题的。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。