hyperbolic space 中文意思是什麼

hyperbolic space 解釋
雙曲空間
  • hyperbolic : adj. 【數學】雙曲線的。adv. -ically adj. 誇張法的。
  • space : n 1 空間；太空。2 空隙，空地；場地；（火車輪船飛機中的）座位；餘地；篇幅。3 空白；間隔；距離。4 ...
  1. The range of super - brownian motions on hyperbolic space

    雙曲空間上超布朗運動的范圍
  2. Secondly, we introduce the recurrence definition of the non - uniform algebraic - hyperbolic b - spline basis using divided differences and the de boor - fix recurrence definition on polynomial functions, and based on the new forms, algebraic - hyperbolic b - spline curves are obtained. they share most of the properties as those of the b - spline curves in the polynomial space. we focus on deducing the calculating and knot inserting formulae for this new kind of curves and then prove that they have the variation diminishing properties

    二、利用廣義差商，基於多項式b樣條的deboor - fix遞推定義，給出了任意階非均勻代數雙曲b樣條的遞推定義，由此構造麯線，證明它的幾何不變性、仿射不變性、凸包性、 v . d .性等，重點給出了非均勻代數雙曲b樣條曲線的遞歸求值和節點插入演算法，演算法簡單且穩定，便於在計算機上實現
  3. 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
  4. The degenerate elliptic problems we shall study is very closely related to rigidity problems arising from infinitesimal isometric deformation, as well as other geometry problem, such as minimal surface in hyperbolic space. in particular, the existence of solution with high order regularity is very important to investigate geometry problems. one would like to know under what conditions the solution of such equations are as smooth as the given data

    通過構造輔助邊值問題，建立了各種能量不等式，並利用這些先驗估計，以及banach - saks定理得到了h ~ 1弱解存在性；利用退化橢圓型方程弱解與強解的一致性和已知的先驗估計，還得到h ~ 1弱解的唯一性。
  5. But the complex analytical signal ( cas ) theory can erase this spatial sigu - larity. in this section, gauss, hyperbolic and lorentz pulsed gaussian beam have been derived and compared svea and cas solution by numerical simulatio n. in section 3, by using fourier transform technique and applying the paraxial approximation in frequency domain, we derive an integral solution for the transverse and longitudinal components of the light field propagating in free space

    接著，考慮了幾種特殊的脈沖gauss光束（ pulsedgaussianbeam ） ，結果顯示，在此情況下緩變包絡近似（ slowly - varyingenvelopeapproximation ）理論已不再有效，其失效的原因是，該理論導致了脈沖光束解的空間奇異性，並使脈沖光束不再具有符合物理意義的光束行為，而通過復解析信號的分析方法可以消除這種空間奇異性。
  6. We obtain 2, composition operators on bloch spaces first, we discuss the seminorm and norm of composition operators on bloch space. the relations of seminorm and norm with angle derivative and hyperbolic metric in unit disk are obtained

    首先研究了bloch空間上的復合運算元的半模與模，得到它們與角導數、單位圓上雙曲度量之間的一些關系。
  7. Three special subspaces of ect spline space : polynomial space, the algebraic trigonometric spline space and hyperbolic spline space are investigated in detail. the generalized p lya polynomials, associated with the three subspaces, are calculated. both of boehm algorithm and oslo algorithm for the ect b spline curves of order 4 over the three special subspaces are displayed

    三、在多項式樣條空間、代數三角樣條空間和代數雙曲樣條空間這三個具體的ect空間上，給出了相應典範ect組和廣義p lya多項式的計算和顯示表示，展示了幾個低階ectb樣條曲線各種插入節點演算法的求解全過程
  8. The concept of ellipse is extended to hyperbolic space and the equation is discussed. some geometric data of ellipse, such as symmetries, will be considered

    摘要在雙曲空間中引進相應的橢圓概念、討論橢圓的方程，並對橢圓的對稱性等幾何性質做出細致考察。
  9. At last, we construct hyperbolic polynomial curves in the space of hyperbolic functions. we call them as hc - bezier curves

    文章最後運用同樣的方法在雙曲函數空間中構造了hc - b zier曲線。
  10. This paper summaries the researches on the new schemes of parameter curves and surfaces modeling - curves and surfaces modeling of trigonometric polynomial, which includes curves and surfaces of t - bezier, t - b - spline, tc - bezier and tc - b - spline. hc - b zier curves and surfaces are also discussed in the space of hyperbolic functions in the end

    本文主要對參數曲線曲面造型的一種新方法? ?三角多項式曲線曲面進行了深入研究，其內容主要包括t - b zier曲線曲面、 t - b樣條曲線曲面、 tc - b zier曲線曲面和tc - b樣條曲線曲面。
分享友人
分享到 Line

分享到臉書