The changing procedure of soil water infiltration capacities is in keeping with second - degree polynomial change functions in cornfield , sesame field and fallow field and with quartic - degree polynomial change functions in wheat field in unfrozen phase , the changing process of soil water infiltration capacities suit second - degree polynomial change functions in various husbandry condition in frozen phase 在非冻结期，玉米地、芝麻地和休闲地的土壤水分入渗能力的变化过程符合二次多项式变化规律，小麦地的土壤水分入渗能力符合四次多项式变化规律；在冻结期，无论是哪种耕作条件土壤水分入渗能力符合二次多项式变化规律。
At first , this paper presents two - demensional quartic convolution interpolation to smooth digital terrain . it is acquired from that it makes use of that the interpolation function of cubic spline interpolation has a continuous third derivative on the base of two - dementional cubic convolution interpolation . two - demensional quartic convolution interpolation is more precise than two - dementional cubic convolution and simpler than cubic spline interpolation in calculation . it can satisfy real - time route planning of ucav 首先，在轨迹规划前需要对数字地图进行平滑处理，本文提出了二维四次卷积插值法。它在二维三次卷积插值法的基础上利用三次样条插值法的插值函数具有三阶连续导数的性质而得来的。
The single layer films are physically mixed and prepared by polychloroprene and ferrite 94rc . one is synthesized in a lump , the maximal value of its inverse absorption is 12 . 88db but the obverse is 8 . 54db at 6 . 79ghz ; the absorption band of its inverse is wider than another side . the other films are made by quartic equal steps , the absorption of its obverse and inverse have not too much differences , the peak value is 10db at 14 . 4ghz 吸波性能测试表明一次注模所制薄膜其反面在8 . 88ghz时有最大衰减12 . 88db ,而正面在6 . 79ghz时有最大衰减8 . 54db ,反面的吸波频带也比正面宽;而四次注模所制薄膜其吸波性能在正反两面的吸收频带和强度基本一致,在14 . 4ghz时达到10db左右。
Based on the given linear holstein model , and using the variational method we obtained the ground state properties of the electron - phonon interaction system with cubic and quartic lattice ( phonon ) terms . we obtained the relations between the ground state energy and the phonon squeezing effect and polaron squeezing effect as well as the variation of the polaron bandwidth 在线性holstein模型的基础上，采用变分法得出了含晶格(声子)三次方和四次方势下系统基态特性，得到了基态能量与声子压缩效应和极化子压缩效应的关系，并求得了极化子能带宽度的变化规律。
This method is also valid for identifying the circuit and branch defect of first group spatial linkages based on the equivalent of circuit properties of the first group spatial linkages and its equivalent sphere four - bar linkage base on the property of the solutions of quartic equation , the conclusion that the number and order of branch between two adjacent stationary positions of the input link are derived . then , the new method to identify circuits of spatial single - loop linkages with four closures is presented . all types of the manner on which the branches coalesce at the stationary positions of the input link are obtained and the procedures to determine the type automatically are developed 基于一元四次方程解的性质，得到了在输入构件两个相邻瞬时静止位置之间机构的分支的数目和大小顺序不变的结论，进而提出了识别具有四个封闭形的空间单环机构回路的新方法一一死点法，综合出了输入构件位于瞬时静止位置时机构分支结合情况的所有类型及其自动判别方法，研究了由所有结合的分支信息自动生成回路的算法，首次解决了此类机构回路与回路缺陷的自动识别。
It is shown that a system of linear equations is resolved to obtain the rotational parameters by using of seven couple of conic curves in image sequences when the motion of a rigid object is pure rotational . when the motion of a rigid object is pure translation , a system of non - linear equations is resolved using iterative method , or using the method for resolving quartic equation . the translation parameters with a scale factor may be determined and the translation direction can be obtained 研究结果表明，在纯旋转运动分析中，最少利用图像序列中7条对应二次曲线，可以线性地求解刚体旋转运动参数；在纯平移运动分析中，只需利用图像序列中1条对应二次曲线就可以求解刚体相对平移运动参数(即平移方向) ，分别用非线性迭代法和一元四次方程解法求解了刚体相对平移运动参数(即平移方向) 。
A . douady had suggested to study dynamics of biquadratic polynomials . by definition , a biquadratic polynomial is the composition of two quadratic polynomials , so it is an even quartic polynomials which can be written as f ( z ) = z4 + az2 + 6 , where a , b are parameters . it is easy to see that / has a critical point at 0 and two symmetric critical points at A . douadv曾建议对双二次多项式的动力系统进行研究，所谓双二次多项式就是两个二次多项式的复合，也即偶四次多项式，在一个线型共轭下可以记为fz ) = z ~ 4 + z ~ 2 + b ，这里o ， b是参数，点0是它的一个临界点，另外还有两个对称的临界点( ( - a ) 、 2 ) ~ 2 。
Abstract : considering the second nearest - neighbor interaction and cubic , quartic anharmonic interactions simultaneously , we employ the multiple scales method combined with a quasidiscreteness approximation to calculate the lattice vibration . it is shown that the kind of nonlinear chain exhibits envelope soliton , envelope kink and envelope antikink soliton . these results can also be used to explain the experimental phenomena that the kink amplitude of the self - localized structure is determined only by the intrinsic properties of its lattices 文摘:同时考虑次近邻谐振相互作用和三次方、四次方非谐相互作用，利用多重尺度结合准离散近似方法去计算晶格振动行为，发现一维非线性点阵中存在包络孤子及正扭结型包络孤子、反扭结型包络孤子，解释了自局域结构的幅度只取决于点阵中的固有参数的实验现象
