polynomial equation 中文意思是什麼

polynomial equation 解釋
多項式方程
  • 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。
  • equation : n. 1. 平衡，均衡；平均，相等。2. 【數學】方程式，等式。3. 【天文學】（時）差；均分，等分。4. 【化學】反應式。
  1. The main idea of this method is to choose a set according to the order of polynomials, to eliminate by making use of bezout eliminant, get zero set from the improved formula about set of zero points, so that a polynomial system of equation ~ set of zero points can be got only by one time arrangement

    該方法的主要思想是：根據多項式秩的大小選取基組，採用貝左結式消元，用改進型零點集結構式確定零點集，從而只需一次整序就可求得一個多項式方程組的零點集。
  2. By companion matrix of polynomial gave one necessary and sufficient conditions of two polynomial having common roots, according to the above gives one method to solute dual higher order equation

    摘要利用多項式的伴侶陣給出兩多項式有公共根的一個充要條件，並據此給出解二元高次方程的一種方法。
  3. Firstly, a 52 degree univariate polynomial equation is deduced by using resultant elimination method. 6 extraneous roots are found during the process to obtain the other 3 variables by using euclidean algorithm

    首先使用結式對4個多項式方程直接消元，得到1個一元52次的多項式方程，再用輾轉相除法求其他3個變量，在此過程中發現了6個增根。
  4. In the third chapter, making use of the results about abel equation, we discuss the existence, number and stability of the limit cycles of polynomial systems. the relative work of shui shuliang and cai suilin is generalized

    第三章利用abel方程已有的結果來討論多項式系統的極限環的存在性，個數和穩定性，推廣了水樹良和蔡燧林的相關工作。
  5. 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。
  6. A mathematic model of reactor, steam generator, pressurizer is developed based on characteristic of pwr coolant system. for reactor, the point reactor kinetics equation with six - group delayed neutrons is used and influence of coolant ' s and fuel ' s temperature is considered, conduction model of one dimension and single - channel model is used in thermal and hydraulic calculation, third - order hermite polynomial is used to solve the point reactor kinetics equation

    對于反應堆，在物理計算中採用了帶有六組緩發中子的點堆方程，同時考慮了多普勒效應及冷卻劑溫度效應對反應性的影響；在熱工水力計算中採用了一維的熱傳導模型與單通道模型；在求解點堆方程中採用了hermite插值的方法，克服了點堆方程的剛性問題。
  7. To solve the polynomial equation ? ( z ) = 0, this paper proposes a simultaneous iteration and investigates its convergence and initial condition. it proves that the convergence has order 3 under the initial condition

    摘要採用文[ 1 - 3 ]中提到的加速方法，對經典的牛頓迭代法進行加速，得到了一個新的求多項式方程根的迭代法，主要對其收斂性進行了分析，得到了在較好的初始條件下該法是3階收斂的。
  8. Based on the cutting force surface model, a polynomial equation of side cutting depth and feedrate is created to calculate the feedrate of each cl data and the calculated feedrate value is written out with the g - code position data block to an updated version of the die - cavity

    基於切削力曲面模型，採用多項式擬合的方法構建刀具在許可切削力下的側向切深和進給率的方程，根據建立的方程計算每個刀位點處的進給率並反寫到初始的g代碼文件中。
  9. ( 1 ) equation is deduced when input is complete correlation, frequency response function has not solution ( order of numerator of polynomial need not be defined ). we can directly use superposition principle of linear system to obtain response without solving frequency response function

    （ 1 ）當輸入部分相關時，輸入矩陣為非對角矩陣，其頻響函數不能直接求得，本文推導了解決此類問題的公式。
  10. By making algebraically equivalent transformation for the standard centering equation xs = e, we obtain a new system of perturbed k - k - t equations and, for specific power transformation, recover the newton equations that are recently used by j. m. peng et al to show a lower polynomial complexity bound for large - update algorithm

    前述的兩種方法是針對擾動k一k一t系統進行的，而本文的另一種方法是採用ncp函數，直接將標準線性規劃k一k一t條件化為一個不含內點約束的等價方程組，以此改造標準攝動方程組。
  11. First of all, the algorithm base on the boundary problem of helmholtz equation and finite - difference technique, calculate the field in “ cold ” cavity and disperse the helmholtz equation, as a result of the formula : ax = x. secondly, according to the eigenvalue of matrix theory and applied iterative methods, eigenmode adopt a numerical approach which allows the improved chebyshev polynomial iteration which based on the power method to extract the isolated eigenmode in the spectrum. finally, we resolve the problem of compatibility in software and insert the eigenmode module into the chipic which will have the function of eigenmode analysis

    具體的說: （ 1 ）首先以電磁理論中的亥姆霍茲方程的邊值問題理論和計算電磁學中的有限差分法為基礎，計算冷腔中的場分佈並離散亥姆霍茲方程，得到標準的本徵值問題: ax = x ; （ 2 ）然後根據矩陣理論中的eigenvalue問題和數值計算中的迭代方法，採用改進后的chebyshev多項式，在power迭代法的基礎上對ax = x進行多項式迭代，實現對頻譜中孤立本徵模的萃取; （ 3 ）最後將用fortran語言編制的eigenmode模塊加入到chipic軟體中，解決了eigenmode模塊與chipic主代碼的兼容問題，從而實現了chipic軟體的模式分析功能。
  12. The approach of combination matrix on bivariate three degree polynomial equation system with symbolic coefficients

    符號系數二元三次方程組的組合矩陣方法
  13. In the second part, we try to apply orthogonal polynomial approximations to the dynamical response problem of the duffing equation with random parameters under harmonic excitations. we first reduce the random duffing system into its non - linear deterministic equivalent one. then, using numerical method, we study the elementary non - linear phenomena in the system, such as saddle - node bifurcation, symmetry break bifurcation, phenomena in the system, such as saddle - node bifurcation, symmetry break bifurcation, period - doubling bifurcation and chaos

    本文第二部分嘗試將正交多項式逼近方法應用於隨機duffing系統，提出與之等價的確定性非線性系統的新概念，並用數值方法對該系統在諧和激勵下的鞍結分叉、對稱破裂分叉、倍周期分叉、和混沌等各種基本非線性響應進行了初步探討。
  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. This algorithm is an extension of real root isolation algorithm for univarioie rational polynomial. it results in an higher - dimensional isolated interval for each isolated real root. in the ordinary differential equation qualitative or stability analysis, lienard systems are typical

    Li nard系統是常微分方程定性及穩定性分析研究中一類典型的系統，它不僅在應用領域有著廣泛的運用，在其他微分系統的定性及穩定性分析研究中，也經常會藉助到它豐富的結論。
  16. We propose a new algorithm for a sample and all nash equilibria by using heuristic search in game supports and the solution techniques of polynomial equation systems

    摘要應用搜索博弈支持集和方程組求解技術，提出了一個計算單一和全部納什均衡點的啟發搜索方法。
  17. A brief introduction to the characteristic set method is given for solving algebraic equation systems and then the method is extended to algebraic difference systems. the method can be used to decompose the zero set for a difference polynomial set in general form to the union of difference polynomial sets in triangular form

    部分實現腦力勞動機械化使計算機具有某些智能行為，將為科學研究與技術創新提供有力工具使科研工作者擺脫繁瑣的甚至是人力難以達到的工作，將自己的聰明才智集中到更高層次的創新性研究。
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