1、

Furthermore, we introduce the notion of theta decompositions to derive new theta function identities. We explain how to transform the set of the theta function solutions of a given contiguous relation into a finite dimensional vector space over the field K ( q).

进一步,为了推导新的恒等式,我们引入了theta分解的概念,说明了给定邻接关系的theta函数解空间可以转化为域K(q)上的有限维向量空间。

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2、

The Green function and the Fourier transform were introduced to simplify the calculation.

推导计算过程中运用格林函数和傅里叶变换及傅里叶逆变换,以简化和减少计算.

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3、

Moreover, extinction rules and Bravais types are derived and tabulated in order to facilitate the determination of the superspace group symmetry.

还较详尽地推导了Bravais格子和系统消光规律,并给出它们的完整的表格,以利于空间群的确定。

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4、

To solve time-harmonic electromagnetic field, the cylindrical wave function expansion for vector potential is derived.

对于时谐电磁场, 推导出矢势的柱面波函数展开式.

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5、

This paper presents a improved calculation procedure about the Bowles-Mackenzie theory of martensite transformation.

对传统的马氏体相变的Bowles-Mackenzie表象理论(简称BM理论)的推导过程进行了改进。

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6、

A fornltila for calculating the heading section of arbitrary three-centered arch and circular arch types was derived in this paper.

文中推导出了任意三心拱和圆弧拱巷道断面积计算的公式。

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7、

The quantitative relationship between quasi-particle geometry model and face-centered cubic crystal lattice has been proposed.

并推导出该拟质点几何模型与面心立方晶胞之间的定量数值关系。

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8、

In this paper, from Bernoulli's equation of silt-laden water flow, the formulae of cavitation coefficient and static draft head of a hydraulic turbine in silt-laden water flow are ascertained theoretically.

本文以含沙水流时的伯努利方程为依据,从理论上推导了含沙水流时水轮机的汽蚀系数与吸出高度计算公式;

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9、

Geometric nonlinearity adopt total lagrangian formulation, deduce double nonlinearity stability control equations of initial geometrical imperfections catenary arch, with corresponding programs complied in Matlab.

几何非线性采用总体拉格朗日列式法,在此基础上引入材料非线性的影响推导了初始几何缺陷悬链线拱的双重非线性稳定承载力控制方程。用Matlab编程进行了计算分析。

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10、

Based on the catenary cable element model, a new compatible equation which reflects the relationship between the unelongated cable length and the horizontal component of its tensile foce is put forward.

基于精确的悬链线索元模型,本文推导了一种反映索原长和索张力水平分量之间关系的协调方程式,以及适用于动力松弛法找形分析的索元弦向刚度表达式。

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11、

The circular Jones vector ′ s transformation in coordinate conversion was presented by using Cartesian Jones vector ′ s transformation in coordinate conversion. And on the basis of it, the expression for quartz ′ specific rotation was deduced.

通过笛卡尔琼斯矢量在坐标旋转下的变换,提出了圆琼斯矢量在坐标旋转下的变换,进而以石英为例推导出旋光率的具体表达式。

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12、

This paper presents the general dilution law and it is absolutely exact.

本文先指出了稀释定律的局限性,然后在不附加任何假设条件的情况下,推导出了普适的精确的广义稀释定律。

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13、

An approximate matrix-calculation method for finding the illuminance distribution of diffused reflection in the integrating sphere from a light source located at the sphere centre is derived.

本文推导了位于积分球中心处的光源在球内壁及挡屏表面的漫射照度分布的近似矩阵计算方法。

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14、

A mathematical model of transient electric field is deduced, which takes dielectric polarization loss and displacement current into account.

推导出了考虑介质极化损耗和位移电流情况下暂态电场计算的数学模型。

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15、

Magnetic Maxwell stress tensor is derived by use of vector, dyadic and tensor operation, and the computing theory& method of the suspension force on the permanent magnetic bearing is developed and perfected according to Maxwell stress tensor.

利用并矢、矢量和张量运算理论推导出Maxwell磁场张量,发展和完善了基于Maxwell磁场张量的永磁轴承悬浮力计算的理论和方法。

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16、

Thus, Calculating the critical rotational speed of the helix ditching machine.

由此,推导出立轴柱形变螺距螺旋开沟机的临界转速。

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18、

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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19、

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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20、

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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