緊映射 的英文怎麼說
中文拼音 [jǐnyìngshè]
緊映射
英文
compact mapping-
A note on rigidity of proper holomorphic self - mappings
關于逆緊全純映射剛性的一個注記Holomorphic proper mapping between two kinds of generalized hartogs polyhedral
多面體之間的全純逆緊映射Based on this kind of relations between the topological structures and the content distributions we study the web modelling, community identification and some related application problems in detail : first, after some existed characteristics of the web topology are verified, some new characteristics are discovered : the high clustering property in micro - topology ( high average gathering coefficient ), the obvious mapping relation between the topological struture and the content in micro - level 、 linear irrelevant between the degree distribution of network nodes and the relative degree distribution of contents etc. then after analysis the topology of the complex network and the network modeling, the muti - scale determinism is proposed, especially for the information network a web evolvement model ( prcp model ) that fused the node authority and the node correlation is proposed. the model deduction, evolving learning verification and large scale experiment proof indicate that the model can explain the micro - topology centralizing phenomena, can imitate the mapping relation between the network connecting distribution and network content relative distribution and also can predict the mapping relation between the topology clustering and content clustering
本文在詳細觀察了web網路的拓撲結構特徵以及拓撲結構與內容分佈相互關系的基礎上,以信息網路的物理連接拓撲結構與節點內容相關度分佈之間的相互關系為主線,從網路特徵、網路建模、社區分析及相關應用方面問題進行了深入細致地探討:首先在驗證了前人提出的web網路拓撲結構特徵基礎上,進一步發現了信息網路所具有的一些新特徵: 1 )網路微觀顆粒度的拓撲結構聚團與內容聚團存在明顯的映射關系,具體包括節點之間的物理連邊概率與節點之間的內容相關度成指數比例關系、節點形成三角形拓撲結構的概率與節點內容相關緊密程度之間同樣具有一種指數比例關系; 2 )網路節點連接度整體分佈與節點內容相關度整體分佈是線性無關的; 3 )網路微觀拓撲結構中的存在很強的集聚性(平均聚團系數很高) 。The second part consist of chapter four. in chapter one, we study the energy density of harmonic map from finsler manifold and generalize classical result in [ se ]. in chapter two, we obtain lower estimates for the first eigenvalue of the laplace operator on a compact finsler manifold, and it generalize lichnerowicz - obata theorem [ li ] [ ob ]. in chapter three, we derive the first and second variation formula for harmonic maps between finsler manifolds. as an application, some nonexistence theorems of nonconstant stable harmonic maps from a finsler manifold to a riemannian manifold are given
第一章討論finsler流形到黎曼流形調和映射的能量密度的間隙性,推廣了[ se ]中的結果。第二章對緊致finsler流形上laplace運算元的第一特徵值的下界作了估計,推廣了黎曼流形上的lichnerowicz - obata定理[ li ] [ ob ] 。In this thesis, on the basis of giving a tutorial introduction to this topic, we present new visual mapping models which combine the robot work space with the image feature space tightly and new visual tracking controllers based on artificial neural network
本文在總結了目前機器人視覺伺服系統發展狀況的基礎上,通過構建新的非線性西安理工大學博士學位論文視覺映射模聽j將圖像特徵空間與機器人運動空間緊密地聯系起來,提出了基少人Fairly important covers have point - countable bases, weakly bases, k - networks, sequence - neighbourhood networks and so on. fairly important mappings have quotient s - mappings, closed s - mappings, open mappings, open - and - closed mappings, com - pact - and - open mappings, perfect mappings, countable bi - quotient mappings, compact mappings
比較重要的覆蓋有點可數基,弱基, k網,序列鄰域網;比較重要的映射有商s映射,閉s映射,開映射,開閉映射,緊開映射,完備映射,可數雙商映射,緊映射。A fixed point theory about limitation map of compact maps sequence
一個關于緊映射序列極限的不動點定理A note on the classification on the proper mapping between some generalized hartogs triangles
三角形之間逆緊映射的分類The concept of countably subparacompact maps, countably metacompact maps and countably submetacompact maps are introduced, which are the extension of the respective covering property from the category top to the category top
摘要主要定義了可數次仿緊映射,可數亞緊映射以及可數次亞緊映射,進一步將一般拓撲空間的覆蓋性質拓展到連續函數上。In the first part of the thesis, we study two one - dimensional dynamical systems with negative schwarzian derivative. by using the non - existence of attractive periodic orbits and wandering intervals, a theorem is obtained that the forward invariant compact sets of the two dynamical systems are uniform hyperbolic
本文第一部分主要考慮兩類具有負schwarz導數的單峰映射的動力學性質,利用吸引周期軌道和游蕩區間的不存在性等,證明了其正向不變緊集的一致雙曲性。This article probes into the essential characters of the theorem of the equivalence between uniformly convergent topology and compact open topology, resolves the errors and obscurities in the proof of the theorem in bibliography [ 1 ]
摘要刻畫了映射空間一致收斂拓撲與緊開拓撲等價定理的本質特徵,化解了文[ 1 ]證明之誤及晦澀之處。2. by doing precise computation of spectral radius of linear operator of linear equation and by using measure of noncompactness and leray - schauder type fixed point theorem of condensing mapping, the existence and the uniqueness of the solutions are obtained, which extend the results recently achieved in this field
二、通過線性方程解運算元譜半徑的論證,在緊型條件下利用凝聚映射的leray - schauder不動點定理及冪壓縮映射不動點定理,獲得了解的存在性與唯一性結果,這些結果推廣了近期這方面已有的一些結果。In this paper it is proved that there are no scramble sets with nonzero invariant probability measure and especially there are no sequence - distribution - scramble sets with nonzero invariant probability measure in the minimal mappings of a compace metric space and interval mappings with zero topological entropy
摘要證明緊度量空間的極小映射以及拓撲熵為零的區間映射不存在具有非零不變概率測度的混沌子集,特別不存在具有非零不變概率測度的序列分佈混沌子集。This paper applied the character that linear subjective isometries preserve the geometric rank of a operator to characterize the onto isometries between compact operators space in weakly closed modules of nest algebras, and obtained the expressions of the isomtries
摘要利用運算元的幾何秩在線性等距映射下不變的性質研究了套代數弱閉模中緊運算元空間的線性等距離映射,最後得到其空間實現形式。The present paper studies the structure of the set of non - wandering points of a continuous map from a graph ( i. e., one - dimensional connected compact branched manifold ) into itself
本文主要研究了圖(即一維緊致連通的分支流形)上連續自映射的非游蕩集的結構。In this paper, to study fixed - point of compact metric space, and obtain one pair fixed - point theorems of expansion mapping and compression mapping. the results are improved in the papers [ 1 ], [ 2 ]
摘要研究了緊度量空間上的不動點問題。得到擴張映射與壓縮映射的不動點定理。推廣了文獻[ 1 ] 、 [ 2 ]的結果。Mapping theorems on submeocompact spaces
緊空間的映射定理As a result, within the understanding beyond understanding, i attempt to transform my thoughts into objects : the light cast on the skin, changes in shape due to pulling on the skin fibers, and the line suspended in mid - air that pulls tightly on the skin
於是在許多尚未明白的明白間,試圖將想法付諸實體:皮膚影像的映射、表皮纖維的拉扯變形與空間中懸置緊張的拉扯線。In the partially ordered linear spaces, we discuss the uniqueness and existence of fixed points for some nonmonotone operators in the partially ordered linear spaces without the assumption of continuity and compactness and upper - lower solutions of operators. the results obtained improve and generalize the major results in reference [ 1 ]
研究了半序線性空間中一類非單調映射的不動點的存在唯一性及其迭代過程,對所述的映射沒有作連續性、緊性或具有上、下解的假定.其推論推廣和改進了文獻[ 1 ]中的主要結果In the research of the theory of generalized metric spaces, the method of mapping and covering is a very important tool, especially the point - countable covers play a more important role. for example, the concept of paracompactness was introduced by way of using a class of special point - countable cover by the famous french mathematician dieudonne in 1944
在廣義度量空間理論研究中,映射和覆蓋的方法是一種非常重要的工具,特別是點可數覆蓋起著舉足輕重的作用,例如, 1944年法國數學大師dieudonn引進的仿緊性概念使用的就是一類特殊的點可數覆蓋。分享友人