查询词典 inverse cotangent

More precisely, we obtain an important relation between the mapping Ψ, which plays an important role in defining obstruction set, and the mapping on the cotangent bundle induced by the original diffeomorphism. We show that the only difference between them is a nonlinear factor.

在§3.2中我们得到了在定义阻碍集这一概念中起着关键作用的Ψ映射与原来映射在其余切丛上所诱导映射之间仅仅只相差一个非线性因子这一重要关系。

This code is not casually arranged, it actually represents the Frog Kok of Cotangent value, which is part of Frog heart right triangle and two right-angle-FE AE ratio, that is, N = ctg α= FE / AE , N, is turnout.

这个代号可不是随便排列的，它实际上代表了辙叉角的余切值，也就是辙叉心部分直角三角形两条直角边FE和AE的比值，即N=ctgα=FE/AE，N就是道岔号。

Sine Cosine】【cotangent side: angle: side: angle: type of half-angle formula.

边： 角：边：角：边：角：式中。

English astronomer and mathematician who invented a surveying chain, quadrant, and scale and introduced the trigonometric terms cosine and cotangent.

冈特，埃德蒙1581－1626英国天文学家和数学家，发明了测链，象限仪和标尺，并引进了两个三角学术语，余弦和余切

The definitions of generalized directional derivative and generalized gradient of Lipschitz functions defined on Riemannian manifold are presented. Some properties of the directional derivative and gradient are proved by using tangent and cotangent mapping. The minimization necessary condition of nonsmooth Lipschitz functions is given. Moreover, Fritz John necessary optimality condition in mathematical programming is provided on Riemannian manifold.

在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念，利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则，证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素，并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件。

We transformed eccentric coaxial line cross-section into rectangular area by hyperbolic cotangent transformation, transformed the FDTD difference expressions into CM-FDTD difference formula, calculated the cutoff wavenumbers of higher order TE and TM modes in eccentric coaxial line.

本文用双曲余切变换将偏心同轴线截面变换为矩形区域，相应地将FDTD差分格式变换为保角变换FDTD差分格式，计算了偏心同轴线TE、TM高阶模的截止波长。

Finally, a hospital viscosity of plasma diagnostic system is optimized by adjoint matrix method and M-P generalized inverse matrix method of MTS. The results show that adjoint matrix method can't select effective variables and M-P generalized inverse matrix method is robust.

最后，利用马氏田口伴随矩阵法和M-P广义逆矩阵法对某医院现阶段血粘度诊断系统进行优化，说明伴随矩阵法在选择有效变量时存在的问题和M-P广义逆矩阵法的稳健性。

Affine inverse function s derived from the inverse function composed with affine permutations possess good cryptographic properties.

有限域上的逆函数左右复合一个仿射置换而成的仿射逆函数具有很好的密码学性质。

Secondly, by applying inverse Fourier integral transform to the displacement, and uniting the constitutive and geometrical equations, the analytical expression of stress in Laplace domain were derived. Thirdly, by defining dislocation density functions, the Cauchy singular integral equations were obtained according to the boundary condition and interface connection conditions, and the problem was reduced to algebraic equations by Chebyshev orthogonal polynomial. Based the these, the unknown coefficient of the algebraic equations can be solved by Schmidt method. Finally, the time response of dynamic stress intensity factor and energy release rate are obtained by inverse Laplace transform.

首先，利用积分变换方法，推导出粘弹性层的控制方程组；其次，引入位错密度函数，并结合边界条件和界面连接条件，导出反映裂纹尖端奇异性的Cauchy型奇异积分方程组，然后，应用Chebyshev正交多项式化奇异积分方程组为代数方程组，并采用Schmidt方法对其数值求解，最后，经过Laplace逆变换，求得动态应力强度因子和能量释放率的时间响应。

Based on wave propagation feature, this paper analyses 3D seismic migration algorithms such as alternating direction implicit method, LU decomposition method, and inverse operator approach method. The result shows that the alternating direction implicit method is fast but causes distortion in wave field extrapolation and affects image accuracy; however LU decomposition and inverse operator approach methods are fast while holding circular symmetry of wave field, and are promising in oilfield exploration and development.

在波的传播特征分析基础上，对交替方向隐式法、LU分解法、逆算子逼近法等三维地震偏移算法进行了分析研究，结果表明，交替方向隐式法虽然快捷但是在波场外推中明显产生畸变并影响成像的准确性，而LU分解和逆算子逼近法是保持波场圆对称特征前提下的快速算法，在油田勘探开发中具有较好的应用前景。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。