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曲线函数    
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  curve function
    Controlling the Future Annual Tree Cutting Limit with Gongboz Curve Function
    应用龚珀资曲线函数式对未来年度林木采伐限额的控制
短句来源
    A curve function is used to describe the shape of bent nerve located in the XY plane parallel to the air tissue surface and the curve tangential is defined as the direction of nerve;
    本文首先用一曲线函数表示平行于组织 空气界面下方xy平面内弯曲神经的形状 ,并定义弯曲神经任意一点的方向为该点切线方向 ,然后给出磁刺激弯曲神经时一个修正的激活函数。
短句来源
    It simulates the outline of the fashion parts with B3-Spline and reversed B3-Spline curve function. And it has realized themulti-layer curve especially for fashion design.
    采用B-3次样条和反B-3次样条曲线函数构造款式部件的外轮廓,实现了款式设计中特有的多层线形的绘制功能。
短句来源
    According to gas chromatographic analytic theory, a new method named the Standard Curve Function Method was presented including three models.
    讨论了已有气相色谱定量分析方法,从理论上提出了一种新的定量分析方法—标准曲线函数法;
短句来源
    2) With the aid of Newton Interpolation method, it obtain the fluctuant coefficient function, and the curve function for the degree of change of the future contracts price. This model solves the problem that determines sequence function only in the way of linear fit.
    2) 通过采用牛顿插值逼近的方法得到期货合约价格的波动系数函数,得到了能够及时反映期货合约价格变动程度的曲线函数,解决了以往对函数确定只采用线性拟合的单一方法且适用性差的问题。
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  curve function
The one, the centroaffine transformation of a linear taper curve function, is not suitable for representing the time-depending change of the stem form.
      
The exponential function also predicted a nearly linear relation between log fracture-strength and log indentation-load, thus indicating that the apparent linearity of this plot is not adequate evidence to assume a power-law R-curve function.
      
It is of splice type if and only if an end-curve function exists for each leaf of the resolution graph.
      
Raman spectra ranging from 1000 to 1800 cm-1 were fitted by so-called D and G peaks using a Gaussian-curve function.
      
Vmax and Km values of saturable components were calculated by fitting a hyperbolic curve function to the saturable points.
      


During the course of studies on the population dynamics of the European corn borerin Peking from 1961 to 1964, data were secured on the egg populations in a total of 19fields of spring-sown corn at whorl-stage. Based upon these data, the following pointswere analyzed: (1) The distribution pattern of the egg masses in corn fields. (2)Relations between the percentage of plants with one or more egg masses and the numberof total egg masses accumulated during the entire whorl-stage. (3) Relations betweenthe number...

During the course of studies on the population dynamics of the European corn borerin Peking from 1961 to 1964, data were secured on the egg populations in a total of 19fields of spring-sown corn at whorl-stage. Based upon these data, the following pointswere analyzed: (1) The distribution pattern of the egg masses in corn fields. (2)Relations between the percentage of plants with one or more egg masses and the numberof total egg masses accumulated during the entire whorl-stage. (3) Relations betweenthe number of egg masses at the peak stage, i.e., the highest number of egg masses foundon any one day, and the total egg masses accumulated during the entire whorl-stage. The analyses of these field data show: 1. Since the observed frequency of plantsreceiving various numbers of egg masses during entire whorl-stage fitted the expectedfrequency according to the Poisson series closely, the distribution of the egg masses in cornfields is fully random. Therefore, the percentage of plants with one or more egg massesis proportional to the total number of egg masses accumulated. 2. The relations between the percentage of plants receiving one or more egg masses(P) and the number of egg masses per 100 plants (X) during entire whorl-stage of 15corn fields was shown in Figure 1. This relationship can be generally expressed by P=1--e~(-ax~b)where a and b are constant. Putting m=ax~b, the values of a and b can be calculated bytransforming above equation to log m=log a + b log XBy estimating the parameter a and b, the following equation was obtained P=1--e~(-0.00985x~(0.9984))Table 3 gives the calculated values of x to different percentages of P. 3. Data on the total number of egg masses per 100 plants for the entire whorl-stage(Y) and the highest number of egg masses per 100 plants found on any one day (X)in 17 corn fields are presented in Table 4. A X~2 test for goodness-of-fit reveals alinearship between the two variates, indicating the peak of egg deposition is directly pro-portional to the total number of egg masses deposited during the entire whorl-stage. Theregression equation is Y=11.47 + 2.64XThe straight line that corresponds to this equation is plotted in Figure 2. By using theabove equation, the value of Y would be determined for any given value of X. There-fore, the use of the latter record as an index of the former appears to be biologicallysound.

根据1961—1964年对两个品种、19块春玉米地心叶期着卵量及着卵株率的调查资料,分析了:1)卵块在田间的分布型式,2)着卵株率与百株累计卵量的关系,3)百株高峰卵量与累计卵量的关系。 分析表明:心叶期卵块在田间的分布型式符合于随机分布,因此着卵株百分率与百株累计卵块数之间存在着正相关的关系。 着卵株率(p)与百株累计卵块数(x)间有 P=1-e~(-0.00985_x~(0.9984))的曲线函数关系。作者利用此式制成了一个由著卵株百分率来推算百株累计卵块数的检索表(表3)。 心叶期百株高峰卵块数(x)与百株累计卵块数(Y)之间则有直线回归的关系,以百株高峰卵块数估计百株累计卯块数的回归式为:Y=11.47+2.64x。 利用上述两种调查方法来估计心叶期的累计卵块数可以大大节省时间和人力。这两个方法在实用上各有其优缺点,可以根据具体情况任用一法。

The least square method of fitting the testing data of gear life is dealt with and the functional relation representing the gear fatigue curve is established. The ALGOL and BASIC programs for the fatigue curve are set up and the experimental fatigue curve of the gear is plotted with the aid of a computer. The method proposed, the relation established and the program of computation and plotting can be extended in use to the fatigue testing of common metals or V belts.

本文探讨应用最小二乘法拟合齿轮疲劳试验数据,建立齿轮疲劳曲线的函数关系式。文中编制了求解疲劳曲线的ALGOL程序和BASIC程序。并利用电子计算机绘制出齿轮的试验疲劳曲线。本文探讨的方法、建立的函数式以及计算和绘图程序可以推广用于一般金属疲劳试件或三角胶带。

A Simple unconstrained optimization method to resolve overlapping experimeatalcurves in spectral analysis is described and a block diagram is given.The inductionof the object function is discussed.The method is superior to the prevailing dampingleast square methods.With a Cholesky decomposition of A~TA matrix,using modifiedFletcher method and a quadratic interplation to find the preferred damping factor anddescending step,it saves plenty of time for selecting the good damping factor insuccessive substitutions...

A Simple unconstrained optimization method to resolve overlapping experimeatalcurves in spectral analysis is described and a block diagram is given.The inductionof the object function is discussed.The method is superior to the prevailing dampingleast square methods.With a Cholesky decomposition of A~TA matrix,using modifiedFletcher method and a quadratic interplation to find the preferred damping factor anddescending step,it saves plenty of time for selecting the good damping factor insuccessive substitutions and statilizes the tendency of decsent.It also contains a gridsearch procedure to avoid the searching failure at a saddle point.Owing to thedoption of a series of rather complete algorithms,it is successful in many otherields such as determining the number of fitting curves and confirming the functionsof resolved curves.The method has been put to the mathematical model test.The method will convergefin case the initial estimating values of the parmeters(x_i)diverge from the real onesabout 20% and the overlapping of two peaks is serious,with the overlapping coefficientbeing bigger than 0.5.It can also converge when the overlapping coefficient is lessthan 0.5 and the initial estimating values of the parameters diverge about 25% to30%.It is used in the microcomputer(type Z-80)in BASIC language.when m=90anumber of the discreting points of the experimental curve)and n=20(number fothe parametero),convenient means are furnished for directly connecting withmeasuring instruments.Actual application of the method has proved its fairly high accuracy,its com-paratively fast comvergence velocity and the wedening of the tolerance of the initialestimating values of the parametero.

本文阐述了用一简单的无约束最优化方法来分解谱分析实验曲线的叠加峰。给出了框图和讨论了目标函数的归结。此法是对现有一些阻尼最小二乘法的改进。它对 ATA 矩阵作了三角分解,以改进的 Fletcher 方法和二次插值得到择优阻尼因子和下降步长,从而大大节约了每次迭代选择优良阻尼因子的时间和稳定了下降的趋势。本法备有网格搜索,以免在驻点搜索失败。由于采用了一系列比较完整的算法,它还能用来测定拟合曲线的数目和确定分解曲线的函数式等。本法经过较全面的数学模拟调试。于 Z-80微处理机上使用,实践证明,它的精度较高,收敛速度较快,对初始假设值设置的宽容度较大,并且提供了与测试仪器直接连用的条件。

 
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