metric property 中文意思是什麼
metric property
解釋
度量性質-
Lots of concrete examples are (, ) - metrics. and one of fundamental problems in finsler geometry is to find and study finsler metrics with constant ( flag ) curvature. on the basic, we majarly study the following problems in present paper : ( a ) to the property of a class of (, ) - metrics in which is parallel with respect to riemann metric a and riemann metric a is of constant curvature, we obtain the following theorem4. 3 let f (, ) be a positive definite metric on the manifold m ( dimm > 3 )
在finsler幾何中,我們現在已知的finsler度量已經很多了,但大多數具體的例子主要都集中在( , ) ?度量中,又在finsler幾何中一個基本的問題就是去發現和研究具有常曲率的finsler度量,基於這些本文主要研究了以下一些問題: ( a )一類關於是平行的並且riemann度量具有常曲率的( , ) ?度量的特殊性質,得到了如下的定理4 -
The second chapter sets forth the theorem basis of fractal image compression. by researching the property of iterate function system in metric space, two basic theorems are brought outthe fixed - point theorem of contract mapping and collage theorem. in the third chapter, fractal image compression method based on block partition is discussed and implemented
接著在第二章中闡述了分形圖象壓縮的理論基礎,通過對完備空間中迭代函數系統性質的研究,提出了分形圖象壓縮的兩個基本定理:壓縮映射的不動點定理和拼貼定理。 -
On the other hand, locally finite families introduced by p. alexandroff in 1924 have played a fundamental role in the research of metrization problem and paracompact property. research of space with - locally finite networks betters understanding of metric property ' s essence. hereditarily closure - preserving families introduced by n. lasnev in 1966 ties up locally finite families
Alexandroff引入的局部有限集族( locallyfinitefamilies )已在度量化問題及仿緊性的研究中起著不可替代的作用,對于具有局部有限網路空間的探索更加深了人們對度量性的本質了解, 1966年n -
Such methods are generally decreasing method, such as, feasible direction methods, constrained variable metric methods, etc. another class is sub - problems method, which approximates the optimal solution by solving a series of simple sub - problems, such as penalty function methods, trust region methods, and successive quadratic programming sub - problems, etc. the same property of two classes of methods is that they determine whether the next iterative point is " good " or " bad " by comparing the objective function value or merit function value at the current point and next iterative point
另一類叫做子問題演算法,這種演算法是通過一系列簡單子問題的解來逼近原問題的最優解,如罰函數法、信賴域演算法、逐步二次規劃演算法等。這兩類演算法的一個共同特點是,通過比較當前點和下一個迭代點的目標函數值或評價函數值來確定迭代點的「優」或「劣」 ,若迭代點比當前點「優」則該迭代點可以被接受,否則須繼續搜索或調整子問題。 -
We also give some propertys of the limit shadowing property. in section 3. 4, a necessary and sufficient condition is given for continuous self - mappings of compact metric spaces having the potp. in the end, we give some properties of the strong shadowing
4節研究了弱偽軌跟蹤性及強跟蹤性,給出了弱偽軌跟蹤性轉化為偽軌跟蹤性的一個充要條件,並證明了強跟蹤性在鏈分支上的保持性,最後證明了有限強跟蹤性蘊涵著強跟蹤性。 -
It is proved that a homeomorphism on a compact metric space with the average - shadowing property has only one chain component which is the whole space. in particular, every point is chain recurrent. using this result it is given a short proof for a recent theorem of sakai
證明了緊致度量空間上具有平均偽軌跟蹤性質的同胚只有一個鏈分支,這個鏈分支就是全空間。特別的,每個點是鏈回歸的。利用這個結果,給出sakai新近一個定理的簡短證明。 -
Metric property value changes trigger publication of a standard property change event on a standard metrics topic
規格特性數值的改變會觸發關于標準規格主題的標準屬性更改事件的發布。
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