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1)  coefficients changing method
系数变换法
1.
In the paper,a coefficients changing method of resulting unary multinomial division is put forward,its application in finding the greatest common factor and deciding whether two unary multinomial are relatively prime are popularized,and the examples are given by the author.
文章提出了一种求解两个一元多项式除法的系数变换法,并推广到求取一元多项式的最大公因式及判别两个多项式是否互素等问题上,给出了该方法的应用实例。
2)  transform coefficient
变换系数
1.
We calculated the energy ratio of low frequency to high frequency of ray based on the relation between ray energy and wavelet packet transform coefficients.
将小波变换理论应用于宁夏及邻区的地震和爆破的识别,利用小波包变换系数与射线能量的关系,计算了射线所包含的低频成分和高频成分的能量之比。
3)  variable convection coefficient
变换热系数
1.
In thes paper, the heat conduction in a pin fin with a variable convection coefficient along the surface is analysed, A concept of equivalent coefficient is proposed in order that the usual method with a constant heat transfer coefficient can be used, Some numerical results of conlcal and parabolic are also obtained.
使变换热系数问题可转化为常换热系数问题来分析。
4)  coefficients of Gabor transform
Gabor变换系数
5)  function-transformation method
函数变换法
1.
A new function-transformation method is used and exact travelling wave and solitary wave solutions for Fisher equation and two dimension Burgers-KdV equation are obtained by the function-transformation method.
采用一种新的函数变换法 ,对 Fisher方程及二维 Burgers-Kd V方程进行求解 ,得到了几类新的行波解和孤波解。
2.
In the paper,a new function-transformation method is used and two kinds of exact solitary wave solutions for a class of nonlinear wave equations,are obtained by a combination of the function-transformation method and the direct integral method.
采用新的函数变换法求出了一类非线性演化方程的两类显示精确孤波解。
3.
In the paper, a new function-transformation method is used and four kinds of explicit exact solitary wave solutions for the nonlinear derivative Schrdinger equation, which have a fifth-order stronger nonlinear term, are obtained by a combination of the function-transformation method and the direct integral method.
采用新的函数变换法,并与直接积分法相结合简便地求出了具有5次强非线性项的导数Schr dinger方程四类显示精确孤波解。
6)  parameter transformation
参数变换法
1.
A technique combining the parameter transformation method with the multiple scales method was presented to determine the primary resonance response of a strongly non-linear EXiffing-Rayleigh oscillator to random narrow-band excitation.
将参数变换法和随机多尺度法结合起来,研究窄带随机噪声激励下强非线性Duffing-Rayleigh振子的响应及稳定性问题。
补充资料:Radon变换和逆Radon变换


Radon变换和逆Radon变换


X线物理学术语。CT重建图像成像的主要理论依据之一。1917年澳大利亚数学家Radon首先论证了通过物体某一平面的投影重建物体该平面两维空间分布的公式。他的公式要求获得沿该平面所有可能的直线的全部投影(无限集合)。所获得的投影集称为Radon变换。由Radon变换进行重建图像的操作则称为逆Radon变换。Radon变换和逆Radon变换对CT成像的意义在于,它从数学原理上证实了通过物体某一断层层面“沿直线衰减分布的投影”重建该层面单位体积,即体素的线性衰减系数两维空间分布的可能性。
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