Dense chaos for subshifts of finite type in symbolic space 符號空間有限型子轉(zhuǎn)移的稠密混沌
In chapter 3, we study chaos for subshifts of finite type 第三章研究了符號空間有限型子轉(zhuǎn)移的混沌。
Furthermore, we make a survey of relationship between the various sorts of chaos for subshifts of finite type 此外,我們還討論了符號空間有限型子轉(zhuǎn)移各類混沌之間的關(guān)聯(lián)。
We show that for any subshift of finite type determined by an irreducible and aperodic matrix, there is a finitely chaotic set with full hausdorff dimension 指出:對于由本原方陣所決定的符號空間有限型子轉(zhuǎn)移而言,存在滿hausdorff維數(shù)的有限型混沌集。
In chapter 2, we get some conclusions for the completion of the almost complete exceptional sequence of representation-finite type algebra and finite dimensional algebra using perpendicular category 第二章借助垂直范疇得到了關(guān)于有限表示型遺傳代數(shù),任意有限維遺傳代數(shù)上幾乎完備例外序列補(bǔ)的一些結(jié)論。
In symbolic space dense-chaotic systems with respect to subshifts of finite type are studied . by block matrices, such systems are described concretely, and a sufficient and necessary condition is obtained 摘要運(yùn)用分塊矩陣思想,對符號空間有限型子轉(zhuǎn)移具有稠密混沌的系統(tǒng)作了具體刻畫,得到了稠密混沌的一個(gè)充要條件。
In terms of sub-shifts of finite type determined by an irreducible matrix, affine maps of compacted connected metric abelian group and continuous maps of tree, the two concepts of topologically ergodic map and topologically transitive map are identical 指出對于由不可約方陣所決定的符號空間有限型子轉(zhuǎn)移而言,或緊致交換群的仿射變換及樹上連續(xù)自映射而言,拓?fù)浔闅v與拓?fù)淇蛇w這兩個(gè)概念是一致的。
Through the research of engineering design case, general engineering design case can be summed up several finite types according semantic object model which lays a foundation to the design of case library . further, the search model of engineering case based on the restricted object is abstracted 對工程設(shè)計(jì)實(shí)例進(jìn)行了研究,按語義對象模型把一般工程實(shí)例歸結(jié)為有限的幾種對象類型,從而為實(shí)例庫的設(shè)計(jì)奠定了基礎(chǔ);在此基礎(chǔ)上,根據(jù)面向?qū)ο蟮乃枷?,抽象出了工程?shí)例的基于約束對象的檢索模型。