degree of a polynomial 中文意思是什麼

degree of a polynomial 解釋
多項式的次數
  • 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。
  • of : OF ＝Old French 古法語。
  • a : an 用在以母音音素開始的詞前〉 indefinite art 1 〈普通可數名詞第一次提到時，冠以不定冠詞主要表示類...
  • 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。
  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. 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。
  3. 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。
  4. 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
  5. 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。
  6. 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。
  7. 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。
  8. Stability of equator for a class of 2n 1 degree polynomial system

    1次多項式系統赤道環的穩定性
  9. 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。
  10. 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。
  11. 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。
  12. 3. by using the techniques of an explicit criterion to determine the number of real roots of a univariate polynomial in ( [ 13 ], [ 73 ] ) ; b - net form of bivariate splines function ; discriminant sequence of polynomial ( cf. [ 13 ], [ 73 ] ) and the number of sign changes in the sequence of coefficients of the highest degree terms of sturm sequence, this paper determines the number of real intersection points two piecewise algebraic curves whose common points are finite. a lower bound of the number of real intersection points is obtained in terms of method of rotation degree of vector field

    大連理工大學博士論義：分片代數價線i片代數簇的若十m穴3 ：利用楊路，張景中，侯曉榮在文獻v13 ， 73 ）中關於一元多項式實根的顯式判準，以及二元樣條函數的b網形式，多項式的判別序列和sturm序列的最高次數項系數序列的變號數，本文給出了兩個分片代數曲線的丈交點數（假設公共點是有限的）的計算公式。
  13. 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。
  14. The production reason of extraneous roots is analyzed and the improved method is proposed, that is the degree of the variables during the elimination process is reduced by searching relations among the vectors, so that a 46 degree univariate polynomial equation can be obtained directly

    分析了產生增根的原因並提出了消元過程中避免增根的改進措施，即尋找相關向量之間的關系，在消元過程中降低變量的次數，直接得到一元46次方程。
  15. 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。
  16. 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。
  17. Bifurcations of local limit cycles for a class of 2n 1 degree polynomial differential system

    1次多項式微分系統的局部極限環分支
  18. The varying procedure of the infiltration capacities of frozen soils within a year is in keeping with second - degree polynomial functions and the varying procedure of the infiltration capacities of frozen soils within a day corresponds with third - degree polynomial functions

    凍結土壤的入滲能力明顯小於相同條件下非凍結土壤的入滲能力，其年變化過程符合二次多項式關系，日變化過程符合3次多項式關系。
  19. Degree of a polynomial

    多項式的次數
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