algebraic space 中文意思是什麼
algebraic space
解釋
代數空間-
Isolated points and algebraic structure of rough equality classes in approximate space
近似空間中的孤點與粗相等類的代數結構 -
This paper is to study harmonic maps into symplectic groups and local isometric immersions into space forms by means of the soliton theory. by realizing an action of the rational loop group on the spaces of corrsponding solutions, we get the backlund transformation and the darboux transformation, and thereby we give the explicit construction for harmonic maps into symplectic groups and local isometric immersions into space forms via purely algebraic algorithm
主要用孤立子理論研究到辛群的調和映射和到空間形式的局部等距浸入，通過有理loop群在其解空間上的dressing作用，給出b icklund變換和darboux變換的顯式表示，從而獲得到辛群及其對稱空間的調和映射和到空間形式的局部等距浸入的純代數構造方法。 -
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 -
Based on general algebraic eigenvalue space to design the control law
基於廣義代數特徵空間的控制律設計 -
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 -
A computer based algebraic method for high precision linearization of state space
狀態空間精確線性化的計算機代數設計方法 -
Essentially, a key problem on the interpolation by multivariate splines is to study the piecewise algebraic curve and the piecewise algebraic variety for n - dimensional space rn ( n > 2 )
本質上，解決多元樣條函數空間的插值結點的適定性問題關鍵在於研究分片代數曲線，在高維空間里就是研究分片代數簇。 -
It ' s a general method to construct the symmetry adapted bases of point groups. it has the advantage that the algebraic solutions of point groups can be obtained and the solutions are independent of representation space
它是尋找點群不可約表示的一般方法，不依賴于具體的表示空間，可以得到點群表示的代數解，特別適用於構造分子的對稱基。 -
Face recognition based on the algebraic feature face recognition based on the algebraic feature expresses the human faces by vectors of feature too. but the vectors are algebraic feature ones. it is the projection of the human faces in the lower dimension sub - space of eigenface
基於代數特徵的人臉識別方法這類識別方法也是將人臉用特徵矢量表示，但採用的是代數特徵矢量：即人臉圖像在由「特徵臉」張成的降維子空間上的投影。 -
In the third part, i genelized one theorem of lambert ' s from a hilbert space to a semi - self - conjugate vector space, and some results of reflexivity are attained. in the fourth part, i discussed the algebraic reflexivity of a ( strictly ) cyclic linear transformation on a vector space
1 ，把這個結論從hilbert空間推廣到半自共軛的banach空間，得出一些自反性的結論；第4章討論了線性空間上的（嚴格）循環的線性變換的代數性自反。 -
( 4 ) algebraic feature extraction on the spectro - space has been proposed, which combines the wavelet analysis, wavelet packet analysis and the generalized optimal discriminant analysis
（ 4 ）提出了一種在頻域上的代數特徵抽取方法，該方法將小波分析、小波包分析和最優鑒別分析、廣義最優鑒別分析相結合。 -
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 -
Linear algebra is mainly a subject which studies the linear structure of finite dimensional linear space and its linear transformation while linear concept is in itself from the old euclid g eometry. the concept of " linear space " is a kind of algebraic abstract. in many fields of modern engineering project and technology, because of the influence of computer and graph showing, the algebraic disposal of geometric questions, the visual disposal of algebraic questions, algebra and geometry are tightly combined
線性代數主要是研究有限維線性空間及其線性變換這一代數結構的學科，而線性概念究其根源則是來自古老的euclid幾何，線性空間概念是幾何空間的一種代數抽象，在現代工程技術的許多領域里，由於計算機及圖形顯示的強大威力，幾何問題的代數化處理，代數問題的可視化處理，把代數與幾何更加緊密地結合在一起。 -
Firstly, the first kind of lagrange function is used to obtain the dynamics model of the space robot, which final expressions are hybrid differential - algebraic equation
首先利用第一類lagrange方程建立了多體系統動力學模型，並給出了常見約束的約束方程。
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