polynomial space 中文意思是什麼

polynomial space 解釋
多項式空間
  • 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。
  • 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. 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. 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. Because these factors make change more often, soil time space variability is more bigger. the relationship of single factor between soil water infiltration capacities and certain influencing factor could be established quantitatively by means of soil water infiltration tests in indoor, there is negative correlation relation between soil water infiltration capacities and soil structure. there is negative correlation relation in high grit content and low physical clay content soil, and second - degree polynomial relation in high physical clay content junk structural soil between soil water infiltration capacities and soil moisture

    由於這些因素在時刻發生變化，使得土壤的時空變異性較大，只能用室內土壤水分入滲試驗來定量確定土壤水分入滲能力與某些影響因素之間的單因子相關關系，土壤水分入滲能力與土壤結構之間呈負相關關系，土壤水分入滲能力與土壤含水量之間在土壤砂粒含量高，物理性粘粒含量低的無結構土壤中呈負相關關系，在物理性粘粒含量高的團粒結構土壤中呈二次多項式關系。
  4. 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
  5. And then we introduce bezier, b - spline and non - polynomial curves and surfaces modeling, which include l - splines, helix splines, splines in tension and c - curves etc. by analyzing the characters of bezier curves and b - spline curves, we construct trigonometric polynomial curves in the space of trigonometric functions, which assume the characters of b zier curves and b - spline curves

    闡述了cagd中參數曲線曲面造型的發展歷史並介紹了bzier方法、 b樣條方法以及非多項式曲線曲面造型方法，後者包括l -樣條、螺旋樣條、張力樣條以及c -曲線等。文章以b zier曲線和b樣條曲線的特點為基礎，在三角函數空間中構造一組具有上述兩類曲線特性的三角函數多項式曲線，稱其為t - b zier曲線和t - b樣條曲線。
  6. In the late part of the active developing period, the temporal variation of sediment concentration and sediment transport ratio of each rainfall can be expressed by exponent function and the variation presents quadratic polynomial function in the stable developing period. the spatial variation character of sediment yields with space of the experimental watershed model. the active position of soil erosion and sediment yield of the experimental watershed model changes from the downside to the upside with the developing process of the watershed model

    流域模型侵蝕產沙空間變化特徵侵蝕產沙的活躍部位隨流域模型發育過程呈現由流域模型下部逐漸向上部發展特徵，其中流域模型下中部為發育初期時段和發育活躍時段侵蝕產沙的活躍部位，流域模型上部是發育穩定時段侵蝕產沙的活躍部位。
  7. Uniqueness of analytic functions in weighted hardy space and weighted exponential polynomial approximation in many variables

    空間中解析函數的唯一性及多元指數多項式的加權逼近
  8. Firstly, a weak formulation of this problem is derived. the existence, uniqueness and regularity of its solution are discussed. next, the mixed legendre - hermite polynomial approximation in non - isotropic sobolev space is proposed

    首先，我們在第二章中討論無窮帶狀區域上熱傳導方程的弱形式及其解的存在性，唯一性和正則性，這種弱形式適合於數值計算。
  9. Just like other optimization problems, coalition formation need search the optimal solution or quasi - optimal solution in a complex and huge space. if algorithm traverses the whole search space, search process will lead to combination explosion that make it impossible for algorithm to complete search in polynomial time

    與其它的最優化問題一樣，聯盟形成需要在復雜而龐大的搜索空間尋找最優解或滿意解，如果遍歷整個搜索空間，就會產生搜索組合爆炸，在多項式時間內無法完成搜索。
  10. Just like other optimization problem, coalition formation need search the optimal solution or quasi - optimal solution in a complex and huge space. if algorithm traverses the whole search space, search process will lead to combination explosion that make it impossible for algorithm to complete search in polynomial time

    與其他的最優化問題一樣，聯盟形成需要在復雜而龐大的搜索空間中尋找最優解或滿意解，如果遍歷整個搜索空間，就會產生搜索的組合爆炸，在多項式時間內無法完成搜索。
  11. 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
  12. 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。
  13. 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。
  14. The trajectory planning is in the joint space. by simulation of the polynomial interpolation and the parabola interpolation, the former is chosen, which is a part of off - line programming

    關節空間的軌跡規劃，選擇多項式插值，通過模擬證明該多項式插值方法比拋物線插值方法更適用於解決該問題，方便機器人的離線編程。
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