形式导数

It is sometimes easier to use quaternions with complex elements, leading to a form that is not a division algebra.

有时候采用带有复数元素之四元数会比较容易，导得结果不为除法代数之形式。

Still another form for the second derivative of f with respect to x.

f对x的二阶导数的另一种形式。

The obtained results indicate that in the case of Riemann-Liouville definition, theequivalence between FDEs and weak formulation does not require any initial conditions.

上述研究结果表明在Riemann-Liouville分数阶导数定义的情况下，分数阶扩散方程与弱形式的等价性证明不需要添加初值条件。

The total of these two sorts of functions is called S-functions The indicial function, sinusoidal function, cosinusoidal function, hyperbolic sinusoidal function, hyperbolic cosinusoidal function, trigonometric function of n-order and hyperbolic function of n-order etch are all belong to S-functions.

指数函数、正弦函数、余弦函数、双曲正弦、双曲余弦、n阶三角函数和n阶双曲函数等。都是S－函数的特殊形式。文中证明了关于S－函数及其各阶导数的性质的三个定理。

Assuming slow time variation (for large λ), expand in the powers of the time derivative

假 设时间是慢变的（对大λ，以时间导数的指数形式展开至最低阶，结果便是描述自旋1/2的单位矢量n的路径积

The type of the limit state function is set up according to the Mohr-Coulomb yield criterion which can consider the direction of the slip surface; and the derivatives of the stress to the basic stochastic variables of the slope are computed by using partial differential method based on the incremental tangent stiffness method and the accelerating convergence method of Aitken.

其中功能函数的形式是以考虑滑面方向的Mohr-Coulomb屈服准则来建立的；导数的求解采用的是基于增量切线刚度法及Aitken加速算法的偏微分法；边坡整体可靠指标取的是所有可能滑面的可靠指标的最小值。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。