正割

Banach空间正割法的收敛性

On the convergence of the secant method in Banach space

挠曲模量–1%正割（根据ASTMD790A）

Flexural Modulus - 1 % Secant ( Based on ASTM D 790A )

利用变分方法，导出了双曲正割型光孤子在非线性光纤耦合器中传输时满足的动力学方程组，分析了该方程组的平衡点性态，讨论了光孤子的开关特性.指出参数卜K2。

Dynamic equations of solitons propagating in a nonlinear optical fiber coupler have been obtained by using various method . Characteristics of equivalent points are analyzed , and switching properties of optical solitons are discussed in detail .

分别应用正割法和多点函数迭代法求解BWRS状态方程的密度根。

The secant method and multipoint function method can be used to search for the density roots of BWRS state equation of state and applied to distillation calculations .

用变分法研究非线性薛定谔方程，讨论了在有色散补偿及增益平衡的光纤链中双曲正割（sech）型和高斯型准孤子的传输条件及特性。

Properties and conditions of the propagation of sech and Gaussian type quasi soliton in optical fibre link with periodical dispersion management and power balance are discussed by variational method .

提出了构造尺度矩阵的一个简式公式，其对应的简式变尺度算法与正割法等价，当目标函数为正定二次函数时简式变尺度算法与BFGS方法等价。

A simple formula of forming metric matrices is put forward . The simple variable matric algorithm produced from the formula is equivalent to the secant method and when the aim function is positive definite quadratic function , it is equivalent to BFGS .

双曲正割型光束在强非局域介质中的传输特性

Propagation Properties of Hyperbolic Secant Shaped Optical Beam in Strongly Nonlocal Media

以双曲正割型杆为基础的新型扭振变幅杆

New types of complex torsional angle transformers based on hyperbolic secant taper

啁啾对双曲正割脉冲光束空间强度分布的影响

Influence of Chirp on Spatial Intensity Distribution of Hyperbolic Secant Pulsed Beams

一种新的结构正割法在时间序列图像配准中应用

Application of new totally structured secant method to registration of time series images

所得脉冲包络为时间的双曲正割函数。

The pulse envelope we obtained is a hyperbolic secant function of time .

正割迭代法在立交平面线形设计中的若干应用

Some Applications of the Secant Iteration Method to Interchange 's Horizontal Alignment Design

单周期以上双曲正割脉冲光束的传输性质

Propagation of the Few-cycle Hyperbolic Secant Pulsed Beams

方钢管混凝土偏压柱承载力计算的正割公式

Secant Formula on the Bearing Capacity of Eccentrically Compressed Concrete-filled Square Steel Tubular Columns

静力正割剪切模量系由抗扭试验的扭矩－转动曲线决定。

Static secant modulus of rigidity is determined from the torque-twist curve of torsional test .

所以描述亚周期双曲正割脉冲时应该使用更加严格的均方根脉冲宽度。

The RMS pulse width should be used when the subcyle hyperbolic secant pulses is described .

初始啁啾对双曲正割光脉冲线性传输特性的影响

Effect of initial frequency chirp on the linear propagation characteristics of the hyperbolic secant optical pulse

啁啾系数的大小和符号对双曲正割脉冲光束空间强度的分布有不同的影响。

The sign of the chirp also affects the spatial intensity distribution of the ultrashort hyperbolic secant pulsed beams .

从傍轴波动方程出发，给出了超短双曲正割脉冲光束的解析解。

By starting from the paraxial wave equation , the analytical expression of the ultrashort Hyperbolic Secant pulsed beam are deduced .

从近轴波动方程出发推导了窄带和宽带双曲正割脉冲光束的解析传输公式。

Starting from paraxial wave equation , analytical propagation expressions of hyperbolic secant pulsed beams with narrowband and broadband are derived .

关于求解多元非线性方程组的（n+1）点顺序正割法的局部收敛性

The local convergence for the ( n + 1 ) - point sequential secant method for solving nonlinear equations of several variables

此脉冲光束解的每个频率分量都是高斯函数与双曲正割函数乘积的形式，具有相同的衍射距离参数。

These pulsed beams with a certain frequency have the product form of the monochromatic Gaussian beam times the complex Hyperbolic Secant function .

本文给出了高斯形和双曲正割形啁啾光脉冲干涉相关曲线上包络等值宽度的位置。

The positions of equivalent width of Gaussian and hyperbolic-secant shape chirped pulse determined on upper-envelope of interferential correlation curve are given in this paper .

大量研究已经证实了双曲正割形脉冲（孤子）对偏振模色散具有本征抑制能力，这种自适应能力归功于交叉相位调制效应与偏振模色散效应之间达到平衡。

It is proved that hyperbolic-secant pulses ( solitons ) have inherent ability to suppress PMD , this adaptive ability is due to the balance between nonlinear XPM effect and PMD effect .

通过对速率方程求解，得到了双曲正割光脉冲在介质表面引起的电子密度的解析表达式，导出了脉冲通量密度与破坏脉宽阈值的解析关系式。

The analytical expression for the electron density induced by a hyperbolic secant pulse is deduced , and an explicit expression for the threshold pulse width in terms of the fluence density is derived .

结果表明，在初始位置初始时刻啁啾对双曲正割脉冲光束空间强度的分布没有任何影响，但会影响脉冲前后沿的空间强度分布。

The results show that , at the initial distance and the initial time the chirp has no influence on the spatial intensity distributions , but it affects the pulse front edge or back edge .

采用分步傅里叶方法数值研究了初始线性啁啾和非线性啁啾双曲正割光脉冲在单模光纤反常色散区的线性传输特性，并与啁啾高斯脉冲的线性传输特性作了比较。

The linear propagation characteristics of the hyperbolic secant optical pulse with initial linear and nonlinear frequency chirps are numerically studied in the anomalous-dispersion regime of a single mode fiber by use of the split-step Fourier method .

标准的双曲正割亮孤子解和双曲正切暗孤子解正是单一椭圆函数解的特例，单一椭圆函数还包含了三角函数解等周期函数解。

The standard hyperbolic secant bright soliton solution and the hyperbolic tangent dark soliton solution are just the special cases of single-elliptic function solutions . Some periodic functions such as trigonometric functions are also included in single-elliptic function solutions .

本文提出了求解多元非线性方程组的（n+1）点顺序正割法的局部收敛条件，并且给出了收敛性的一种证明方法。

In the paper we presented the local convergence condition for the ( n + 1 ) - point sequential secant method which is used to find solution of nonlinear equations of several variables , and proved the convergence .

在入射脉冲为负啁啾情况下，实验观察到脉冲光谱及时域宽度同时得到压缩，并可获得比激光源所能提供的更短的近双曲正割型变换限脉冲。

Moreover , with the input pulse negatively chirped , we observed that the spectrum and pulse duration could be compressed simultaneously , and near sech ~ 2 transform-limited output pulses shorter than original laser pulse source were obtained .