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Standard derivative definitions of trigonometric functions require radian angle units.

三角函数的标准导数定义要求弧度的角度单位。

To obtain more accurate variation range of the structural response, the first-order derivatives in the Taylor series expansion of the structural response are also considered to be interval.

将结构响应Taylor展开式中的一阶导数也看成区间的,可得到框架结构响应更加准确的变化范围。

Padé approximation is an effective rational approximation.Using the first derivative of Gaussian function as basic wavelet,Pad conversion is used to obtain its rational fraction approximation.

采用高斯函数一阶导数作为基本小波,用Padé变换获得其有理分式逼近,利用开关电流技术实现小波滤波器可获得小波变换所需的基本小波及其膨胀小波。

We prove that the imaginary part is a smoothed second derivative, scaled by time, when the complex diffusion coefficient approaches the real axis.

我们证明了虚部分是一个平滑的二阶导数,按时间,按比例在复杂扩散系数的办法实轴。

Real per capita investment spending on plant and equipment also exhibits a positive regression coefficient.

实际平均厂房与设备支出也具有一个正的回归导数

Fractal dimension structure of the Cosmos are explored, and the mathematical foundation, which include the expressions of fractal dimension differential and calculus, regular space integral solutions of fractal dimension differential equations, the fractal calculus definitions of fractal measure as well as the measure computational equation of self-similar fractal, of fractal dimension calculus and fractal measure are given.

摘 要:探讨了宇宙分维构造的形式,给出了分维微积分及分形测度的数学基础,包括分维导数及分维微积分的表述形式、分维微分方程的规整空间积分解、分形测度的分维微积分定义及自相似分形的测度计算方程。

The definitions of the relative derivatives of a tensor with respect to time in any reference frame by using the notation of vectrix were proposed.

提出了用矢阵表示的张量对时间的相对导数的概念。

It was shown that with the help of vectrix one can treat the relative derivatives of a tensor more clearly and more rigorously when multiple reference frames were concerned.

研究表明,通过借助于矢阵概念,在涉及多个坐标系时,张量的相对导数得到了更加清晰和严格地描述。

The stability problem leads to an ordinary differen-tial equation containing three parameters representing partialderivatives of a phase function.

一个非定常流动的稳定性问题被归结为求解三个未知函数为参数的微分方程的特征值,其三个参数分别是非线性扰动波的相函数的导数及圆盘运动速度的函数。

Too high a degree polynomial produces lower residuals, but at the expense of smoothness in the derivative.

一个很高次数的多项式会产生较低的残差,但却要破坏导数的光滑性。

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