polynomial theorem 中文意思是什麼

polynomial theorem 解釋
多項式定理
  • 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。
  • theorem : n. 1. （能證明的）一般原理，公理，定律，法則。2. 【數學】定理。
  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. In this paper, it s applications were explained from seven different fields, the common zeros of two polynomials, the multiplicities of roots and the discrimination of a polynomial, searching the equations suitable for a algebraic number, implicating a rational curve over the plane, computing the zeros of a nonlinear algebraic equation and gathering the discrimination surface of the sas in automated theorem proving on inequalities

    本文從7個方面闡述了結式的應用，包括判斷2個多項式的公共零點，判定多項式是否有重根，計算多項式的判別式，尋找代數數滿足的方程，平面有理曲線的隱式化，非線性代數方程組求解和不等式機器證明中半代數系統邊界曲面的獲得等。
  3. First, we give a polynomial series and study its minimum positive zero points, from this, the theorem of delay differential equations with both positive arguments and constant coefficient is obtained, this theorem is more explicit and practicable

    1具有正時滯的微分方程解的零點分佈為了證明方便，歸納定義多項式序列如下：記多項式_ i （ s ）的最小正根為b _ i 。定理1
  4. This thesis study the uniqueness theory of meromorphic functions. with the theory of nevanlinna ' s value distribution, the author analyze and study the unique problems about meromorphic function and its derivative or differential polynomial shared values, two meromorphic functions shared one value, the derivatives of meromorphic functions shared one value or small function, the derivatives of meromorphic functions shared one set. proved several uniqueness theorem, which generalized and improved the results of qiu gandi, brosch, yi hongxun, c. c. yang and wu guirong,

    作者應用nevanlinna值分佈理論，對函數與其導函數或微分多項式具有公共值，兩函數具有公共值，兩函數的導函數分擔公共值或小函數，以及分擔公共值集的唯一性等問題進行了分析和研究，得到了幾個唯一性定理，它們分別是邱? ? ， brosch ，儀洪勛，楊重駿，吳桂榮等人的有關結果的推廣和改進。
  5. It included karaji ' s binomial theorem and rules of the arithmetic polynomial operations and developed karaji ' s theory of polynomial

    其中保存了凱拉吉的關於二項式定理的工作以及多項式的運演算法則，並進一步發展了凱拉吉的多項式理論。
  6. Based on the qualitative theoy of differential polynomial system, algorithm to calculate the focal values, the construction of small amplitude limit cycles, hirsch ' s monotone theory and the center manifold theorem etc, we apply mrealroot algorithm to many problems, such as to obtain the real solutions of polynomial systems, to confirm the number of limit cycles in differential system and to construct the limit cycles

    結合平面微分多項式系統的定性理論，計算焦點量的演算法，小擾動極限環的構造， hirsch的單調性理論和中心流形定理等， mrealroot演算法在大量具體問題，包括實根分佈、小擾動極限環個數以及高維系統極限環構造等方面都有廣泛的應用
  7. Some theoretical extensions are first made in this paper, with the following concepts, theorems and models presented - partial derivative and high - order partial derivative of waveform polynomial for describing the relation between input transitions and output transitions and redefining circuit sensitization ; the concept of waveform polynomial vector for describing a circuit with multiple inputs and outputs, especially for the unified description of circuit modules ; a sensitization theorem for sequential circuits for the purpose of exact timing ; theorems for transition numbers in circuits used to solve problems on noise, power consumption and etc ; waveform polynomial description for sequential circuits used to give a unified form for the function and timing behavior of a sequtial circuit ; and a data structure of generalized list for the representation and manipulation of waveform polynomial

    波形多項式偏導和高階偏導的新概念，用來精確描述輸出跳變與輸入跳變之間的關系，並在本文中用來重新定義了電路的敏化和冒險；波形多項式向量的概念，用於形式化描述實際中的多輸入多輸出的電路，特別是用於統一描述電路模塊的功能及定時行為；時序電路的敏化定理，用於時序電路精確定時分析；波形多項式描述跳變及跳變數的定理，用於噪聲、功耗等問題的描述；時序電路的完整波形多項式描述，用於時序電路功能和定時行為的統一描述；波形多項式的多項式符號表示和運算的模型以及數據結構，用來實現對波形多項式比較有效的描述和運算。
  8. Sunse ' s theorem in the polynomial ring

    一元多項式環中的孫子定理
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