hyperbolic law 中文意思是什麼

hyperbolic law 解釋
雙曲線定律
  • hyperbolic : adj. 【數學】雙曲線的。adv. -ically adj. 誇張法的。
  • law : n 勞〈姓氏〉。n 1 法律，法令；法典。2 法學；訴訟；司法界；律師（界），律師職務。3 （事物或科學的...
  1. Spline curves defined in the space constructed by polynomial and hyperbolic functions are studied in this paper. the main research contents and achievements are as follow : firstly, we generate the cardinal extended complete chebychevian ( ect ) - systems on the space constructed by polynomial and hyperbolic functions, then introduce the algebraic - hyperbolic b - spline space and identify the dimension law and zero properties. the existence of a basis of splines with minimal compact supports is demonstrated, and functions named non - uniform algebraic - hyperbolic b - splines are obtained by solving certain linear equations with a block matrix

    本文主要研究定義在多項式和雙曲函數構成的空間上的樣條曲線，其內容和完成結果如下:一、生成由多項式和雙曲函數構成的空間上的一組典範式ect （ extendedcompletechebychevian ）組及其對偶， ，證明非均勻代數雙曲b樣條空間的維數定理和零點定理，直接通過解塊矩陣線性方程組得到具有最小緊支撐的非均勻代數雙曲b樣條函數，進而構造非均勻代數雙曲b樣條曲線，還具體給出低階的表示
  2. Therefore, it can be used as an efficient new model for geometric design in the fields of cad / cam. at last, the spatial definition of periodic spline and natural spline constructed by polynomial and hyperbolic functions is given ; the dimension law and zero properties are demonstrated ; and therefore the non - uniform algebraic - hyperbolic period and natural spline curves are obtained. the applications of the low order are given in details

    三、給出代數雙曲周期樣條及自然樣條空間定義，證明其維數定理和零點定理，構造具有最小緊支撐的非均勻代數雙曲周期及自然樣條函數，進而定義非均勻代數雙曲周期及自然樣條曲線，最後具體給出低階的表示和應用
  3. In chapter 1, the thesis studys the following cauthy problem to hyperbolic system with nonlinear relaxation term we prove that for the initial value with bounded c1 norm, there exists a unique global smooth solution for the cauthy problem ( 1 ), ( 2 ) ; in chapter 2, the thesis considers the following hyperbolic system with relaxation term and the sclar conservaton law equation when e is fixed, for a certain class of initial data, in the large time station, the thesis gets a determined lp ( p > 2 ) decay rate between the golbal smooth solutions of system ( 3 ) and the rarefaction waves solution of equation ( 4 )

    在第一章中，研究如下帶非線性鬆弛項的雙曲組的柯西問題證明了，對c ~ 1模有界的初值，柯西問題（ 1 ） ， （ 2 ）存在唯一的整體光滑解。在第二章中，考慮如下帶鬆弛項的雙曲組和單守恆律方程u _ t + f （ u ） _ x 0 ， （ x ， t ） r r ~ + 。 （ 4 ）當固定時，對一類初值，得到方程組（ 3 ）柯西問題的整體光滑解與方程（ 4 ）的稀疏波解間在大時間狀態下的l ~ p （ p 2 ）衰減率。
  4. Level set is a strong robust algorithm about curves ’ evolution by taking the evolving curves as level set in the higher dimensions, utilizing the computing approach based on hyperbolic conversation law, and applying the similarity between of curves evolution and hamiton - jacobi equations

    Levelset方法的基本數學思想是將當前正在演化的曲線看作是一個更高維函數的水平集，借用雙曲守恆定律的計算方法，利用曲線演化與hamilton - jacobi方程的相似性，給出了一種曲線演化的強魯棒性的計算方法。
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