拓撲向量空間 的英文怎麼說
中文拼音 [tàpūxiàngliángkōngjiān]
拓撲向量空間
英文
topological vector space- 拓 : 拓動詞(把碑刻、銅器等的形狀和上面的文字、圖形印下來; 拓印) make rubbings from inscriptions pict...
- 量 : 量動1. (度量) measure 2. (估量) estimate; size up
- 空 : 空Ⅰ形容詞(不包含什麼; 裏面沒有東西或沒有內容; 不切實際的) empty; hollow; void Ⅱ名詞1 (天空) s...
- 間 : 間Ⅰ名詞1 (中間) between; among 2 (一定的空間或時間里) with a definite time or space 3 (一間...
- 空間 : space; enclosure; room; blank; interspace
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We use a size changeable adjacent field to describe the topological structure of 3d unorganized points in our algorithm. it can offer essential dynamic information for tessellation and points " normal
演算法採用可以控制大小的鄰域作為空間散亂數據點的拓撲關系的幾何描述,為網格劃分和點的法向量的幾何描述提供了必要的動態幾何信息。Inductive topologies of l - fuzzy topological vector spaces
拓撲向量空間的歸納拓撲A brief survey on the state - of - the - art research of determining geographic location of ip addresses is presented. the problem of determining the geographic location of routers in internet service provider topology measurement is discussed when there is inadequate information such as domain names that could be used
Ip地址定位技術在internet拓撲測量internet路由性質刻畫與地理位置相關的應用服務例如定向廣告web個性化搜索以及web地理空間導航geo - spatial navigating等方面具有重要作用。The primary studies in this paper are the following : ( 1 ) we define a generalized alexandroff topology on an l - fuzzy quasi ordered set which is a generalization of the alexandroff topology on an ordinary quasi ordered set, prove that the generalized alexandroff topology on an l - quasi ordered set ( x, e ) can be obtained by the join of a family of the alexandroff topologies on it, a topology on any topological space can be represented as a generalized alexandroff topology on some l - quasi ordered set, and the generalized alexandroff topologies on l - fuzzy quasi ordered sets are generalizations of the generalized alexandroff topologies on generalized ultrametric spaces which are defined by j. j. m. m. rutten etc. ( 2 ) by introducing the concepts of the join of l - fuzzy set on an l - fuzzy partial ordered set with respect to the l - fuzzy partial order and l - fuzzy directed set on an l - fuzzy quasi ordered set ( with respect to the l - fuzzy quasi order ), we define l - fuzzy directed - complete l - fuzzy partial ordered set ( or briefly, l - fuzzy dcpo or l - fuzzy domain ) and l - fuzzy scott continuous mapping, prove that they are respectively generalizations of ordinary dcpo and scott continuous mapping, when l is a completely distributive lattice with order - reversing involution, the category l - fdom of l - fuzzy domains and l - fuzzy scott continuous mappings is isomorphic to a special kind of the category of v - domains and scott continuous mappings, that is, the category l - dcqum of directed - complete l - quasi ultrametric spaces and scott continuous mappings, and when l is a completely distributive lattice in which 1 is a molecule, l - fuzzy domains and l - fuzzy scott continuous mappings are consistent to directed lim inf complete categories and lim inf co ntinuous mappings in [ 59 ]
本文主要工作是: ( 1 )在l - fuzzy擬序集上定義廣義alexandroff拓撲,證明了它是通常擬序集上alexandroff拓撲的推廣,一個l - fuzzy擬序集( x , e )上的廣義alexandroff拓撲可以由其上一族alexandroff拓撲取並得到,任意一個拓撲空間的拓撲都可以表示為某個l - fuzzy擬序集上的廣義alexandroff拓撲,以及l - fuzzy擬序集上的廣義alexandroff拓撲是j . j . m . m . rutten等定義的廣義超度量空間上廣義alexandroff拓撲的推廣。 ( 2 )通過引入l - fuzzy偏序集上的l - fuzzy集關于l - fuzzy偏序的並以及l - fuzzy擬序集上(關于l - fuzzy擬序)的l - fuzzy定向集等概念,定義了l - fuzzy定向完備的l - fuzzy偏序集(簡稱l - fuzzydcpo ,又叫l - fuzzydomain )和l - fuzzyscott連續映射,證明了它們分別是通常的dcpo和scott連續映射的推廣,當l是帶有逆序對合對應的完全分配格時,以l - fuzzydomain為對象, l - fuzzyscott連續映射為態射的范疇l - fdom同構於一類特殊的v - domain范疇,即以定向完備的l -值擬超度量空間為對象, scott連續映射為態射的范疇l - dcqum ,以及當l是1為分子的完全分配格時, l - fuzzydomain和l - fuzzyscott連續映射一致於k . wagner在[ 59 ]中定義的定向liminf完備的-范疇和liminf連續映射。Generalized bi - quasi - variational inequalities in locally convex topological vector spaces
關于局部凸拓撲向量空間中廣義雙擬變分不等式Adopting the globe pole mapping method of space analytic geometry, forming a topological mapping model from the high dimensionality vector to the low one, and then realizing a corresponding mapping from the rectangular matrix high dimensionality space text set to the low dimensionality space text set, finally, composing the corresponding arithmetics, accordingly solving the problem of nonlinear dimensionality reduction for text mining effectively, and overcoming some drawbacks in the former researches
摘要採用了空間解析幾何中的球極映射方法,形成高維向量到低維向量的拓撲變換模型,實現了矩陣形式的高維空間文本集合到低維空間文本集合的一一映射,編制了相應的演算法,從而有效地解決了文本挖掘中的非線性降維問題,克服了以往研究中的缺陷。The vector extreme problems with the set constraint in the ordered linear topological spaces are studied. the necessary and sufficient optimality conditions are established
在序線性拓撲空間里研究了含有集約束向量極值問題的最優性條件,並建立了充分性和必要性條件分享友人