查询词典 analytic expression

The analytic expression for such kind of hypersurfaces is given. Consequently, any umbilical Lorentzian isoparametric hypersurfaces of type Ⅱ with minimal polynomial^2 of A are the parallel hypersurface of M.

并且形算子A的最小多项式为(λ0a)^2的任何Ⅱ型全脐洛伦兹等参超曲面局部地与上述超曲面的平行超曲面叠合，从而完成了S(上标 n+1 下标 1)中的Ⅱ型全脐洛伦兹等参超曲面的分类。

It obtained analytic expression or arithmetic solution of the mean value, the mean square value, the related function and the spectral density function of heat conduction system of 0-D, 1-D, 2-D and 3-D, by applying stochastically theory of linear system and the results of the first part.

该部分利用线性系统的随机理论和第一部分的成果，获得了0维、1维、2维和3维导热系统均值、均方值、相关函数、谱密度函数的解析表达式或数值解。

The new elucidation of distributed activation energy was given in which not only an analytic expression of activation energy was obtained for the first time,but also the theoretical proof of Miura′s integration method in DAEM model was realized.

对分布活化能模型进行了新的理论阐述，不仅给出了分布活化能模型中活化能项的解析表达式，得到了Miura积分法的理论证明，还系统研究了这一新的DAEM表述对焦油馏分模拟蒸馏二级反应体系的适用性。

An analytic expression of the chirp of the Gaussian pulse and soliton including the effect of quintic nonlinearity was derived.

0引言一般地说，用于光纤通信系统中半导体激光器发射的主要是高斯脉冲。

For solving regular polygon,the author presents a geometrograph which divides the circumference uniformly and arbitrarily; and derives an analytic expression.

介绍任意等分圆周的几何作图法及所推导的解析表达式，提出用解三角形法解决正多边形零件在设计和加工中的计算问题。

Based on the theory and experiments, the paper builds up the simplified mathematical model of the servo control system, deduces the system control rigidity expression, and points out the method to improve control rigidity. According to Routh stability criterion, the analytic stability condition is solved, which shows the conflict between the stability and control rigidity and that gyroscope is the key factor of the conflict.

论文结合理论和试验建立了光电稳定伺服控制系统的简化数学模型，推导出系统控制刚度表达式，指出提高控制刚度的方法；利用劳斯判据求解出系统稳定的解析条件式，描述了稳定性与控制刚度之间的矛盾，并指出陀螺是矛盾关键。

Based on the interference theory of light wave and Mie′s scattering, atheory of the quasi-waveguide has been developed for the first time,which,in two aspects,represents the property of the mode spectrum in aquasi-waveguide e.g.the analytic expression of the reflection intensity asa function of the incident angle,and that of the scattered intensity as afunction of the output angle.

基于平面波的光波簇干涉理论和米氏散射，发展了准波导理论，首次给出了从两个不同侧面表征准波导模谱特性的反射光强度与入射角以及散射光强度与输出角的函数关系解析式，并确认其m-线的产生源于米氏散射光及其干涉效应所致的选模作用。

In addition, analytic expression of the waist spot size and working distance of output Gaussian beam were derived, and the influence of coreless fiber and GRIN fiber's length upon fiber-lens parameter was discussed by numerical simulation results.

推导了出射高斯光束的束腰半径和工作距离的解析表达式，进而对该光纤透镜做了数值模拟，讨论了无芯光纤和GRIN多模光纤的长度对光纤透镜参数的影响。

1 The analytic expression of performance of the distributed OS-CFAR detection is derived for video integration of multiple pulses in nonhomogenous background.

3.1 推导出了分布式 OS-CFAR 检测在多脉冲视频积累条件下在非均匀杂波背景中检测性能的解析表达式。

Under the condition of varying , the ratio between noise levels in local sensors, this dissertation derives the analytic expression of performance of the centralized OS-CFAR detection for and local signal-to-noise ratio in nonhomogenous background.

本文在局部传感器背景噪声功率水平间的相对比例系数变化情况下，推导出了集中式 OS-CFAR 检测在且局部观测信噪比条件下在非均匀杂波背景中检测性能的解析表达式。

They have quite a lot of work to do.

他们有许多工作要做。

Let us give you a more elaborate example of this process.

让我们给你这个过程的更多的详细例子。