查询词典 power function

By discussing the position hypothesis of fractional-dimension derivative about general function and the formula form the hypothesis of fractional-dimension derivative about power function, the concrete equation formulas of fractional-dimension derivative, differential and integral are described distinctly further, and the difference between the fractional-dimension derivative and the fractional-order derivative are given too. Subsequently, the concrete forms of measure calculation equations of self-similar fractal obtaining by based on the definition of form in fractional-dimension calculus about general fractal measure are discussed again, and the differences with Hausdorff measure method or the covering method at present are given. By applying the measure calculation equations, the measure of self-similar fractals which include middle-third Cantor set, Koch curve, Sierpinski gasket and orthogonal cross star are calculated and analyzed.

通过讨论一般函数的分维导数的位置假设及幂函数的分维导数的形式假设，进一步明晰了幂函数的分维导数、分维微分及分维积分的具体方程形式，给出分维导数与分数阶导数的区别，随后讨论了基于一般分形测度的分维微积分形式定义导出的自相似分形的测度计算方程具体形式，给出了其与目前 Hausdorff 测度方法的区别，并对包括三分 Cantor 集合、 Koch 曲线、 Sierpinski 垫片及正交十字星形等自相似分形在内的测度进行了计算分析。

The former two accorded with exponential function equation,and the latter power function equation.

前两者以指数函数类型建立的回归方程最好，后者以幂函数类型建立的回归方程最好。

Gamma Screen luminance as a function of video voltage approximately follows a mathematical power function of the input video signal, the exponent of which is called gamma.

与录像电压有关的萤幕亮度大约跟随一个输入的数学能力函数视频信号，其解释者被叫为γ。

Therefore, in this paper, a newempirical creep model is proposed, in which the power function is used for shear stress-strain behavior and hyperbolic function is used forstrain-time behavior.

鉴于此，本文试图建立新的蠕变本构模型进行理论分析，即应力-应变关系采用幂函数，应变-时间关系采用双曲线函数。

Tree's volume; biomass; nonlinear least-squares regression; power function model; hyperbolic function model

材积；生物量；非线性最小二乘回归；幂函数模型；双曲函数模型

Based on specific requirement for the top-coal caving mining to the four-bar linkage ,a design method of the four-bar linkage is put forward in the paper in which the least difference function between the lemniscate locus and the power function curve is used as the main objective function.

基于综放工艺对支架四连杆机构的特殊要求，首次提出以双纽线与幂函数曲线之差值最小作为主要目标函数的数学模型，并在此基础上应用VisualBasic5 0编制了四连杆机构的优化设计程序，可以同时实现优化参数显示与优化结果的动态显

Based on the analysis of some aspects, such as the approximative algorithm of FOC, the Tustin transform theory and its generating function formula's character, the convergence guarantee of binomial power function by Maclaurin expanding, and the consideration of the limitation of conventional methods, an improved method is proposed to compute the numerical evalution of FOC using PSE and Tustin transform and is further applied to solving the linear FOS.

以分数阶算子近似方法的分析研究为基础，基于Tustin变换理论及其用于分数阶算子的离散生成函数公式特点，利用二项式幂函数的Maclaurin展开能够保证收敛的特性，考虑常用算法的局限性，提出了一种改进的基于幂级数展开和Tustin变换的分数阶运算方法，并应用于线性分数阶系统的求解，给出了递推算法的详细推导。

The results show that the modified GM (1, 1) has the most satisfactory accuracy, while power function model and exponent function model are moderate in accuracy and hyperbolic model is relatively worse than the aforementioned ones.

结果表明，修正的GM(1， 1)模型模拟的荷载－位移曲线精度最高，幂函数模型和指数函数模型次之，双曲线模型相对较差。

Furthermore, we discussed and pointed out the exact distinction of the meanings of reactive current, irregular current, reactive power and irregular power, then we give them proper mathematic definition with uniformed conception respectively, we established new power system, which is helpful for people to understand about nonsinusoidal system and its energy conversion much more deeply and substantialy, especially to gain new ideas on depressing and eliminating harmonic waves, and some new design method for more satisfying correcting power function, and different kinds of compensation and eliminating harmonic wave systems.

本文分析了传统的正弦系统有关定义及其与非正弦系统的异同，指出了前者存在的缺点，结合所给特例，讨论并确定了时域中非正弦系统有功电流和有功功率的严格定义，阐明了畸变功率在非正弦系统能量转换过程中所起的作用，在上述基础上，进而讨论并严格区分子无功电流、畸变电流、无功功率、畸变功率等的含义，并利用变分法给出了与上述含义相一致的各个概念的严格的数学定义；提出了新的功率体系。

The results showed that soil wind erosion was the near-surface wind-sand activity. The sediment particle saltates mainly in 7.5-43.5 cm. Wind sediment amount decreased along height, which correlate well with power function, exponent function and logarithm function. The sediment particle composition was influenced strongly by wind erosion intensity and topsoil characteristics. However, the regularity of sediment composition was distinct in a definite paticle size in different heights. Wind erosion amount increases with wind speed exponentially, which was influenced by times that the wind does.

结果表明：阴山北麓农牧交错带土壤风蚀是一种近地表的风沙运动，风蚀物跃移颗粒体主要集中在7.5～43.5 cm高度，风蚀物含量沿高度呈一递减函数，对幂函数、指数函数和对数函数均具有较好的相关性；风蚀物颗粒组成与风蚀强度和地表状况关系密切；风蚀物颗粒组成以某一粒径范围、某一高度为界随高度的变化而表现出明显的规律性；风蚀量沿高度的变化与风力作用时间有关，风蚀量随风速的增大呈指数增加。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。