rational polynomial 中文意思是什麼

rational polynomial 解釋
有理多項式
  • rational : adj 1 理性的。2 推理的；有理性的；懂道理的，講道理的；合理的，合道理的；純理論的。3 【數學】有理...
  • 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。
  1. A new osculatory rational interpolation kernel function is established, which is different from the classical linear interpolation kernel functions. generally, it is a more accurate approximation for the ideal interpolation function than other linear polynomial interpolants functions. simulation results are also presented to demonstrate the superior performance of this new interpolation kernel function

    本文構造了一個全新的圖像插值核函數?自適應切觸有理插值核函數，同現有的線性插值核函數相比，其空域特性和頻域特性均最接近合肥工業大學博士論文理想插值核函數sinc函數。
  2. In theory of approximations, the classic methods of polynomial approximation for rational expression are various interpolations and operator approximations, such as lagrange interpolation, hermite interpolation and bernstein polynomial approximation

    在逼近論中，用多項式逼近有理式的經典的方法是各種插值與運算元逼近方法，如lagrange插值、 hermite插值和bernstein多項式逼近等。
  3. According to the first and second references, a sufficiency and necessity condition on rational root of integral coefficients polynomial is put forward and a reduced method of testing the rational root is also shown in this paper

    摘要給出了整系數多項式有理根的一個必要條件，從而得到整系數多項式有理根檢驗的一個簡化方法，達到了簡化整系數多項式有理根檢驗的目的。
  4. In the third chapter, interval polynomial approximation of rational curves is introduced

    第三章主要介紹了有理曲線的區間多項式逼近。
  5. However, due to the complex of computation and the need of the design, sometime we need to use polynomial approximation for a rational curves and surfaces

    然而由於計算的復雜性和設計的需要，有時我們還需要用多項式函數來逼近有理曲線和曲面。
  6. In this paper, we survey the development of polynomial approximation of rational curves ( surfaces ) and state the knowledge of interval curves ( surfaces ) in the first chapter

    本論文中，第一章首先介紹了有理曲線曲面的多項式逼近研究工作的發展情況和區間曲線曲面一些相關知識。
  7. 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。
  8. As far as parametric curves and surfaces are concerned, we discuss the point - by - point generating algorithms for parametric polynomial curves, parametric rational curves and parametric polynomial surfaces

    對于參數曲線曲面，介紹了參數多項式曲線，有理參數曲線和參數多項式曲面的逐點生成演算法，這些演算法能廣泛地應用於實際。
  9. In the final chapter, we discuss interval polynomial approximation of rational surfaces. firstly, we briefly state the interval - surface approximation based on the taylor expansion, and later, we give out a better interval - surface approximation based on the optimization method, which is also the main work of this paper

    第四章主要介紹了有理曲面的區間多項式的逼近，首先簡單介紹了基於泰勒展開來做的區間曲面逼近，後面是本文的主要工作，我們基於優化方法得到了更好的區間曲面逼近，它也是本文的重要部分。
  10. First, according to the orthonormal quality and the rational choice of working point of the sonar array three shafts frame, the structure of the models is predigested preliminarily ; secondly, according to the quality indexes and the coupling quality between frames, relatively small quantum is neglected. so the complex non - linear coupling models of the sonar array are predigested farther ; lastly, considering the characteristic of the model coefficient matrix, the methods of the low rank polynomial approach and the error simulation are introduced. so the models are predigested again

    首先從聲納基陣框架結構的正交性和工作點的合理選擇出發，使模型的結構得以簡化；其次根據系統性能指標及框架間耦合性強弱，忽略相對小量，對聲納基陣復雜的非線性耦合模型進一步簡化；最後考慮模型系數矩陣的特點，運用低階多項式逼近和誤差模擬的方法，實現了對模型的再次降階簡化處理。
  11. In chapter one, based on the characteristic set method, real root isolation algorithm and the evaluation for maximal and minimal polynomials, we propose an algorithm for isolating real roots of multivariafe rational polynomial systems

    本文第一章從針對一元有理多項式的行之有效的符號求解演算法?實根分離的演算法（ realroot ）著手，討論了多元有理多項式組的符號求解問題? mrealroot演算法[ 14 ] 。
  12. Pythagorean hodographs exhibit remarkably attractive properties for practical use. for example, their arc length is expressive as a polynomial function of the parameter, and their offsets are rational curves

    Ph曲線呈現出非常優良的實際應用價值，例如它的弧長可表示為曲線參數的一個多項式函數，其等距線是有理的。
  13. Bivariate polynomial trans - forms on rational number field

    有理域上的二元多項式變換
  14. 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。
  15. Especially, paper research that the k - order rational b - spline function change to polynomial b - spline when h limit to 0, +. last the spline function can be used to express the hyperbolic curves. then, when k = 3, 4, paper research the infection of curve because qi is changed

    當形狀參數h 0 ~ + ， +時， k階指定極點有理b樣條退化成多項式b樣條，最後還給出了雙曲線的精確表示
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