polynomial of degree 中文意思是什麼

polynomial of degree 解釋
次多項式
  • polynomial : adj. 1. 【動、植】多詞學名的。2. 【數學】多項式的。n. 1. 【動、植】多詞學名。 2. 【數學】多項式。
  • of : OF ＝Old French 古法語。
  • degree : n. 1. 程度；等級。2. 階層，地位。3. 學位，學術。4. 度，度數。5. 【數學】次；冪。6. 【音樂】階，度，音程。7. 【語法】（形容詞和副詞的）級。8. 【法律】親等。
  1. Firstly, in spherical coordinate system, the sovp formulation for the time - harmonic electromagnetic fields of the current dipole in conductive infinite - space is derived, using reciprocity theorem and transforming relations between special functions. then, selecting appropriate coordinate system, using superposition principle, the boundary - value problem of modified magnetic vector potential on the problem of a time - harmonic current dipole in spherical conductor is solved and analytical solution is obtained. finally, by means of the addition formulas of legendre polynomial and spherical harmonics function of degree n and order 1, the analytical solution in spherical coordinate system specially located is transformed into that in spherical coordinate system arbitrarily located

    首先利用特殊函數間的轉化關系和互易定理推導得到了無限大導體空間中球坐標下時諧電流元電磁場的二階矢量位形式：然後利用疊加原理，選擇合適坐標系，求解了導體球中時諧電流元的修正磁矢量位邊值問題，得到了問題的解析解；最後依據不同坐標系下電磁場解的轉化原理，藉助勒讓德多項式和n次1階球諧函數的加法公式，將坐標系特殊安放時的電磁場解析解變換到坐標系一般安放時的解析解，給出了球內電場和球外磁場的並矢格林函數。
  2. The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated legendre polynomial. the relations among the magnetic vector potential, the modified magnetic vector potential and the second - order vector potential ( sovp ) are shown going forward one by one. it is explained that the solutions of electromagnetic fields in different coordinate systems can be transformed and an example having analytical solution is given

    利用坐標旋轉后球坐標變量間的關系和連帶勒讓德多項式的性質推導得到了n次1階球諧函數的加法公式；以遞進的方式說明磁矢量位、修正磁矢量位與二階矢量位的關系，寫出了引入二階矢量位的過程；以時諧場矢量邊值問題為例，闡明了不同坐標系下電磁場解的相互轉化原理，給出了一個解析解的轉化例子；在球坐標下，引入了較球矢量波函數更普遍的兩類矢量函數，給出了其在球面上的正交關系。
  3. Too high a degree polynomial produces lower residuals, but at the expense of smoothness in the derivative.

    一個很高次數的多項式會產生較低的殘差，但卻要破壞導數的光滑性。
  4. The principle of a crc technique is the following: the eight bits of the word are treated as coefficient of a polynomial of degree 7.

    CRC方法的原理如下：一個字的8位作為7次多項式的系數。
  5. Distribution of limit cycles for a class of higher - degree degenerate planar polynomial systems of codimension two

    一類余維2的高次退化平面多項式系統的極限環分佈
  6. Distribution of limit cycles for a class of higher - degree degenerate planar polynomial systems of codimension two is discussed

    摘要討論了一類余維2的高次退化平面多項式系統的極限環分佈，證明了此系統至多存在3個極限環。
  7. 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。
  8. Chapter two study iteration of a serial of polynomial, discussed the sufficient and necessary conditions and denseness of the julia set, the relative random dynamical system is constructed by some high degree polynomial. in addition, it discuss the mandelbrot set of a kind of polynomial

    本文的第二章主要研究多個函數的特定迭代序列，討論了高次多項式的隨機復動力系統的julia集的連通的充分必要條件以及稠密性問題，同時還討論了一類多項式函數的mandelbrot集。
  9. The parametric speed of the curve is firstly approximated by the bezier polynomial which takes the lengths of control polygon ' s edges of the direction curve of normal as bezier coordinates. then the corresponding geometric offset approximation algorithm is given. moreover, an offset approximation with high precision is obtained by degree elevation of the direction curve of normal

    首先利用以法矢方向曲線的控制多邊形邊長為b zier縱標的b zier多項式來逼近曲線的參數速度，給出了相應的幾何等距逼近演算法，進一步結合法矢方向曲線的升階獲得了高精度逼近
  10. The quadratic uniform b - spline curves are extended, and a class of polynomial blending functions of degree 3 and degree 4 are presented in this paper, which can be extended to the case of degree n

    擴展了二次均勻b樣條基函數，構造出三次和四次帶局部參數_ i的調配函數，推廣后得到了n次的調配函數。
  11. Because these factors make change more often, soil time space variability is more bigger. the relationship of single factor between soil water infiltration capacities and certain influencing factor could be established quantitatively by means of soil water infiltration tests in indoor, there is negative correlation relation between soil water infiltration capacities and soil structure. there is negative correlation relation in high grit content and low physical clay content soil, and second - degree polynomial relation in high physical clay content junk structural soil between soil water infiltration capacities and soil moisture

    由於這些因素在時刻發生變化，使得土壤的時空變異性較大，只能用室內土壤水分入滲試驗來定量確定土壤水分入滲能力與某些影響因素之間的單因子相關關系，土壤水分入滲能力與土壤結構之間呈負相關關系，土壤水分入滲能力與土壤含水量之間在土壤砂粒含量高，物理性粘粒含量低的無結構土壤中呈負相關關系，在物理性粘粒含量高的團粒結構土壤中呈二次多項式關系。
  12. The experimental results show that these two algorithms are efficient and computational complexity is low. ( 2 ) we prove that necessary and sufficient conditions for bounded and closed ip curves are that second - degree polynomial factor curves in the leading binomial product v abstract decomposed from the leading form of [ p are ellipses

    （ 2 ）證明了隱含多項式曲線封閉有界的條件是隱含多項式分解的首二次因子積中的二次因子曲線是橢圓曲線，並給出了避免隱含多項式曲線自相交的條件。
  13. Comparing with the quadratic b - spline curve, they have advantages by themselves : firstly, the shape of the curves can be adjusted locally by the parameters i ; secondly, the curves formed by blending functions of degree 4 can be g2 continuous. in addition, in order to meet various requests for continuity of curves in practical applications, corresponding polynomial functions can be used to construct the curves

    但與二次均勻b樣條曲線相比，它們還有其自身的優點：首先，曲線的形狀都可用參數_ i進行局部調整：其次，四次調配函數所構造的曲線就可達到g ~ 2連續；另外，為了滿足實際應用中對曲線連續性的不同要求，可使用相應次數的調配函數來構造麯線。
  14. In the first part, hilbert ' s 16th problem and the studies on it are introduced, and the results of zq - equivariant vector fields of degree 5 ( q = 2, 3, 5, 6 ) are given. in the second part, the definitions of zq - equivariant vector fields and the method of detection functions are stated, and all the forms of nontrivial zq - equivariant planar polynomial vector fields of degree 7 are obtained. in the third part, a concrete numerical example of zt - equivariant perturbed planar hamiltonian system of degree 7 is constructed, and for the unperturbed vector field having maximal number of centers, its global phase portraits are analyzed ( having at least 9 topologically different phase portraits ). then, for a given parameter group, its phase portrait trend is studied

    第一部分介紹了hilbert第16問題以及它的研究與發展現狀，給出了近年來利用李繼彬提出的判定函數法得出的z _ q -等變（ g = 2 ， 3 ， 5 ， 6 ）的5次系統關於它的第二部分的研究結果；第二部分介紹了z _ q -等變向量場以及判定函數法，給出了7次平面多項式系統的所有非平凡z _ q -等變向量場具有的形式；第三部分給出了一個7次平面擾動hamilton系統，研究了它的具有最大中心數的未擾動系統（ z _ 7 -等變）的全局象圖，得到了9種不同的拓撲圖形。
  15. By using the bifurcation theory of planar dynamical systems and the method of detection functions, this paper gives a configuration of limit cycles forming compound eyes. with the help of numerical analysis ( using maple ), it is shown that there exist parameter groups such that a polynomial vector field of degree 7 has at least 49 limit cycles with z8 - symmetry

    然後，利用平面動力系統的分支理論以及判定函數法，考慮z _ 8 -等變的擾動hamilton向量場，在計算機數學軟體（ maple ）的幫助下，我們得到結論： 8次平面向量場至少有49個極限環，形成具有z _ 8 -對稱性的極限環分佈。
  16. As further expansion of the cubic a - b - spline interpolation curves, in order to raise the continuity of the curves even, the author has defined the blending functions of corresponding degrees, constructed the adjustable interpolation curves of degree 5 and degree 6 with polynomial blending functions of degree 5 ( 3 - b ) and degree 6 ( 3 - b ) respectively. they are c3 and c4 continuous separately

    作為三次- b樣條插值曲線的進一步擴展，也為了提高插值曲線的連續性，作者定義了相應次數的奇異調配函數，同時利用三b五次、三b六次調配函數分別構造了五次和六次參數可調的插值曲線，它們分別是c ~ 3和c ~ 4連續的。
  17. In the second chapter, a class of polynomial blending functions of degree n + 1 is presented. based on the functions, we present polynomial curves with some shape parameters. the generated curves are similar with the degree n bezier curves

    第二章給出一類n + 1次多項式調配函數，並由此構造了帶形狀參數的多項式曲線，生成曲線具有與n次b zier曲線類似的幾何性質。
  18. In the fourth part, by using the bifurcation theory of planar dynamical systems and the method of detection functions, the paper gives a configuration of limit cycles forming compound eyes. with the help of numerical analysis ( usi ng maple ), it is shown that there exist parameter groups such that a z7 - equivariant planar polynomial vector field of degree 7 has at least 36 limit cycles with z7 - symmetry

    然後，對於一組特定的參數值，研究了它的相軌線的變化趨勢；第四部分指出：在一定的條件下，利用平面動力系統分支理論以及判定函數法，在計算機數學軟體（ maple ）的幫助下，得到結論： 7次z _ 7 -等變平面向量場至少有36個極限環，形成具有z _ 7 ?對稱性的極限環分佈。
  19. The principle of a crc technique is the following : the eight bits of the word are treated as coefficient of a polynomial of degree 7

    Crc方法的原理如下：一個字的8位作為7次多項式的系數。
  20. The author acquires three main results, i. e. an approach of constructing polynomial curves with some shape parameters, c2 - continuous spline curves of degree 4 with some shape parameter, and planar piecewise bezier curve of 3 4th and 6th degree with given control polygon and the curve segments are joined together with c1 c2 and c3 - continuity

    作者在後三章得到了本文的三個主要結果： （ 1 ）構造了一種帶形狀參數的多項式曲線； （ 2 ）構造了一類c ~ -連續帶形狀參數的四次樣條逼近曲線； （ 3 ）構造了與給定多邊形相切的可調控保形分段c ~ 1三次、 c ~ 3六次b zier樣條曲線。
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