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quartic

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quartic adj.【數學】四次的。n.四次齊式；四次(乘)冪。

adj. 【數學】四次的。 n. 四次齊式；四次(乘)冪。 “cuspidal quartic“ 中文翻譯：   尖點四次線“cyclic quartic“ 中文翻譯：   重圓點四次線“quartic curve“ 中文翻譯：   四次曲線“quartic element“ 中文翻譯：   四次元“quartic equation“ 中文翻譯：   四次方程“quartic manifold“ 中文翻譯：   四次廖“quartic surd“ 中文翻譯：   四次不盡根“quartic surface“ 中文翻譯：   四次曲面“quartic symmetry“ 中文翻譯：   四次對稱“space quartic“ 中文翻譯：   四次撓線“sphere quartic“ 中文翻譯：   球面四次曲線“sphero quartic“ 中文翻譯：   球面四次曲線“tricusidal quartic“ 中文翻譯：   三尖點四次線“tricuspidal quartic“ 中文翻譯：   三尖點四次線“trinodal quartic“ 中文翻譯：   三結點四次線“unicursal quartic“ 中文翻譯：   有理四次線, 單行四次曲線“algainp quartic element“ 中文翻譯：   鎵銦“elliptic quartic curve“ 中文翻譯：   橢圓四次曲線“space quartic of first kind“ 中文翻譯：   甲種四次撓線“space quartic of second kind“ 中文翻譯：   乙種四次撓線“ternary quartic form“ 中文翻譯：   三元四次型“quarti“ 中文翻譯：   夸爾蒂“quarth (japan)“ 中文翻譯：   俄羅斯方塊“quarth“ 中文翻譯：   射擊方塊“quartey“ 中文翻譯：   夸泰“quartettsatz“ 中文翻譯：   四重奏斷章

quartile

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:同時考慮次近鄰諧振相互作用和三次方、四次方非諧相互作用，利用多重尺度結合準離散近似方法去計算晶格振動行為，發現一維非線性點陣中存在包絡孤子及正扭結型包絡孤子、反扭結型包絡孤子，解釋了自局域結構的幅度只取決于點陣中的固有參數的實驗現象

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曾建議對雙二次多項式的動力系統進行研究，所謂雙二次多項式就是兩個二次多項式的復合，也即偶四次多項式，在一個線型共軛下可以記為fz ) = z ~ 4 + z ~ 2 + b ，這里o ， b是參數，點0是它的一個臨界點，另外還有兩個對稱的臨界點( ( - a ) 、 2 ) ~ 2 。

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 研究結果表明，在純旋轉運動分析中，最少利用圖像序列中7條對應二次曲線，可以線性地求解剛體旋轉運動參數；在純平移運動分析中，只需利用圖像序列中1條對應二次曲線就可以求解剛體相對平移運動參數(即平移方向) ，分別用非線性迭代法和一元四次方程解法求解了剛體相對平移運動參數(即平移方向) 。

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質，得到了在輸入構件兩個相鄰瞬時靜止位置之間機構的分支的數目和大小順序不變的結論，進而提出了識別具有四個封閉形的空間單環機構回路的新方法一一死點法，綜合出了輸入構件位于瞬時靜止位置時機構分支結合情況的所有類型及其自動判別方法，研究了由所有結合的分支信息自動生成回路的算法，首次解決了此類機構回路與回路缺陷的自動識別。

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 在線性holstein模型的基礎上，采用變分法得出了含晶格(聲子)三次方和四次方勢下系統基態特性，得到了基態能量與聲子壓縮效應和極化子壓縮效應的關系，并求得了極化子能帶寬度的變化規律。

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 吸波性能測試表明一次注模所制薄膜其反面在8 . 88ghz時有最大衰減12 . 88db ,而正面在6 . 79ghz時有最大衰減8 . 54db ,反面的吸波頻帶也比正面寬;而四次注模所制薄膜其吸波性能在正反兩面的吸收頻帶和強度基本一致,在14 . 4ghz時達到10db左右。

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，在軌跡規劃前需要對數字地圖進行平滑處理，本文提出了二維四次卷積插值法。它在二維三次卷積插值法的基礎上利用三次樣條插值法的插值函數具有三階連續導數的性質而得來的。

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 在非凍結期，玉米地、芝麻地和休閑地的土壤水分入滲能力的變化過程符合二次多項式變化規律，小麥地的土壤水分入滲能力符合四次多項式變化規律；在凍結期，無論是哪種耕作條件土壤水分入滲能力符合二次多項式變化規律。

Under action of uniformly or polynomial distributed load , upper and lower critical loads of revolving shells ( including conical shells , spherical shells and quartic polynomial shells ) with uniform thickness , linearly , exponentially or polynomial variable thickness were evaluated 給出了均布或多項式分布荷載作用下，等厚度、線性、指數型或多項式型變厚度的圓錐殼、球殼或四次多項式型旋轉殼的上、下臨界荷載。

In this paper , we discuss a certain plane quartic system with stellar node : in study , we obtain the global phase portraits of the system , its corresponding algebraic conditions and some results about its structural stability 至今為止，對系統( 0 1 )的比較系統的研究成果基本上還是空白，這主要因為系統的未知參量過多，利用高階奇點理論研究系統全局結構十分困難。

If one consigers the fact that the firstderivative of the function may be difficult to compute analytically the new procedure will become an attractive alternative and it has quartic convergence 這種混和方法對于解決導數求值比較困難的問題是一個良好的選擇，而且它具有四階的收斂性。

Quartic ph curves are studied . their contribution of cusps and inflections are discussed in this paper . a first - order hermite interpolation by quartic ph curves is obtained 文中還研究了四次ph曲線，討論了其尖點和拐點的分布情況，得出了四次ph曲線的一階hermite插值的解。

The result shows that the quartic phase coupling component and quadratic - to - cubic phase coupling one are only extracted using the fifth order cumulants of complex signals 研究表明：復數信號的五階累積量是提取四次相位耦合分量、二三對相位耦合分量的必要工具。

Quartic convolution interpolation and its application in digital maps 四次卷積插值及其在數字地圖中的應用

Development of quartic group demultiplexer for digital communication 數字通信四次群分接器的研制

Moreover equations of degree higher than quartic often arise in equilibrium calculations . 況且，在平衡計算中常常發生比四次方程還高的高次方程。

A complete quartic polynomial consists of 15 terms . 一個完整四次的多項式由15項組成。