1、

The diffusion coefficients of atoms which strongly dependent on their local concentration are given in the nonlinear kinetic discrete model for diffusion in nonuniform system, and the diffusion asymmetry coefficient m' and the ordering energy V are introduced to describe the diffusion in nonuniform system.

根据非均匀体系的非线性动力学离散模型推导出与局部原子浓度强相关的原子扩散系数,引入扩散非对称性系数m′和有序能V参数描述非均匀体系的扩散。

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2、

To solve axially symmetrical electrostatic field, the method of cylindrical function expansion is presented. The series expansion for the potential distribution in whole space with the potential distribution on the symmetric axis is derived, some examples are given.

提出了求解轴对称静电场的柱函数展开法,推导出用对称轴上的电势分布表示空间电势分布的级数展开式,并给出了求解轴对称静电场的例子。

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3、

For a steady current-carrying tightly wound thick-wall solenoid with a finite length, the expression of vector potential is derived by using the method of cylindrical function expansion.

对于通以恒定电流的有限长厚壁螺线管,用柱函数展开法推导出矢势的表达式,再根据磁感应强度与矢势的关系式得出磁场的积分形式表达式。

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4、

According to the distributions of the flow fields in the cyclone air classifier with a fixed spherical wall, the formulas of the classification and collection cut sizes are presented and they are examined by experiment.

根据球台固定壁旋流式气力分级机内的流场分布,推导出了分级粒径和收集粒径的理论计算公式,并通过实验对计算公式进行了验证。

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5、

By outcomes of latest theory research, the direct formula about dilatancy angle and surrounding ground deformation is introduced.

利用最新的弹塑性理论研究成果,推导出了膨胀角与围岩变形的直接关系式;

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6、

In calculation of vapour phase entropy, assuming that the equilibrium pressure of liquid-vapour is so small that the specific heat equation of ideal gas could be used, the entropic expression of vapour phase could be derived and a group of isobaric curves could be plotted.

计算汽相熵值时假定溶液汽液两相平衡时压力较低,可以引用理想气体的比热关系式,因此可推导出汽相熵的表达式,据此表达式可以描绘出一组汽相等压线。

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7、

On the Mathematics Derivation of Tangential and Normal Acceleration of a Particle in Curvilinear Motion

曲线运动中点的切向和法向加速度的数学推导

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8、

With the view of engineering practice, the boundary stiffness of a curved plate is derived.

结合工程实用情况,推导出边界刚度;

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9、

According to the tested mechanical performance of coal sample, the plastic softening process of stress-strain curve is thought to be about a cubic curve, and the plastic softening theory about coal layer is used to deduce the inflection equation of roof.

根据煤样力学性能测试结果,把煤柱应力应变曲线的塑性软化阶段近似为三次曲线,应用煤层塑性软化理论,推导出了顶板弯曲方程。

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10、

Characteristics of the scattering parameters for two parallel microstrip lines are analyzed based on microwave network principle. Relation between the frequencies where crests and troughs occur in the insertion loss or the far-end crosstalk and propagating delays of odd-and even-modes, the parallel length is deduced.

根据微波网络理论,对两根平行微带线的散射参数进行了研究,推导出了插入损耗和远端串扰的幅频曲线中波峰、波谷点频率与奇偶模的传播时延、互连线长的关系。

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12、

Material processes and related formula were put forward by Genetic Arithmetic which enriched water resource optimized allocation methods.

提出了应用遗传算法求解LPM模型具体步骤,推导并给出了该算法有关公式和参数,丰富了水资源优化配置方法。

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13、

We analyze the ergodic capacity function by exploiting its property of schur-concavity, and develop a necessary condition for eigenvalues of the optimal input covariance matrix to characterize the properties of the transmit power distribution for achieving capacity.

我们通过平均信道容量函数的舒尔-凹性质对其进行分析,推导了最优输入协方差矩阵特征值分布的必要条件来刻画最优化的发射功率分配。

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14、

On the basis of defining energy dissipation ratio in a closed circular conduit as specific energy loss of hydraulic jump divided by specific energy of initial flow, this paper derives a basic equation for calculating this energy dissipation ratio and describes its characteristic.

在定义管道内水跃的消能系数为水跃单位能量损失与跃前断面水流原有单位能量的比值的基础上,推导出计算消能系数的基本公式,并分析了它的规律性。

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15、

The method used nonlinear differential equations for the force balance on the spindle and for the liquid flow continuity equation which are solved using Taylor and Laplace transforms.

通过对主轴力平衡条件和液体流量连续性方程的分析,推导出系统的非线性微分方程组,经Taylor和Laplace变换后,建立了系统的数学模型。

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16、

Based on the deformation formula of Loading Test in site, the coefficient of lateral pressure'at rest' for normally consolidated soil is developed.

基于现场载荷试验的变形计算公式,推导了一种新的正常固结土静止侧压力系数计算公式,并进一步讨论了超固结土静止侧压力系数计算方法。

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17、

Both the general spring coefficient matrix of flexible connector and the mass matrix of discrete element are off-diagonal.

推导出一般情形下柔性连接元的广义弹簧系数矩阵和刚体元的质量矩阵都是非对角的。

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18、

For critical state model, the author derives an explicit formula of matrix H, which is used in implicit computation scheme.

对临界状态模型推导了用于隐式计算格式的H矩阵的显式表达式。

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19、

Under the vertical and horizontal force action the connections of frame on bi-direction compression enhanced joint stiffness and increase crack resistance in the core areas; by the theoretical derivation we get the anti-cracking checking formula of the pre-stressed prefabricated concrete frame joints.

在竖向和水平力的作用下,框架节点处于双向受压状态,节点刚度和核芯区抗裂性得到增强,理论推导出预压装配式框架节点的抗裂验算公式。

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20、

The formula deduction of purity convergence magnet adjusting the electron beam moving distance

会聚磁组件调整电子束移动量公式的推导

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