In this paper, a description of the John contact points of a regular simplex was given. It was prove that the John ellipsoid of any simplex is ball ff and only ff this simplex is regular and that the John ellipsoid of...In this paper, a description of the John contact points of a regular simplex was given. It was prove that the John ellipsoid of any simplex is ball ff and only ff this simplex is regular and that the John ellipsoid of a regular simplex is its inscribed ball.展开更多
由使用一个方向双单个不平的集合，(F) 知识的概念和它的 F 减小被给；(F) 知识和属性补充的 F 减小定理 F 减小的冗余的原则被介绍；一个方向双单个不平的集合是单个不平的集合的基本形式之一；知识减小是不平的集合和不平的系统理论...由使用一个方向双单个不平的集合，(F) 知识的概念和它的 F 减小被给；(F) 知识和属性补充的 F 减小定理 F 减小的冗余的原则被介绍；一个方向双单个不平的集合是单个不平的集合的基本形式之一；知识减小是不平的集合和不平的系统理论上的一个新研究方向。展开更多
In this paper, we introduce some new classes of the totally quasi-G-asymptotically nonexpansive mappings and the totally quasi-G-asymptotically nonexpansive semigroups. Then, with the generalized f-projection operator...In this paper, we introduce some new classes of the totally quasi-G-asymptotically nonexpansive mappings and the totally quasi-G-asymptotically nonexpansive semigroups. Then, with the generalized f-projection operator, we prove some strong convergence theorems of a new modified Halpern type hybrid iterative algorithm for the totally quasi-G-asymptotically nonexpansive semigroups in Banach space. The results presented in this paper extend and improve some corresponding ones by many others.展开更多
Several historians confirm that John Fitzgerald Kennedy has been dead longer than he lived.Alan Brinkley says,“On the morning of 22 November,1963,he woke up as President with admirers and detractors,a man with a reco...Several historians confirm that John Fitzgerald Kennedy has been dead longer than he lived.Alan Brinkley says,“On the morning of 22 November,1963,he woke up as President with admirers and detractors,a man with a record-some of it good,some of it not.He became a legend posthumously”(John F.Kennedy Presidential Library and Museum,2012).A charismatic Kennedy unveiled an optimistic American dream that captivated the hearts of every American citizen.He used the TV to channel his sentiments about civil rights,communism,and made the United States strong to resist evil in the world.By speaking directly to the national audience,“he made the television more famous than it was”(Gillon,2019).His presidency is intertwined to the visionary ideal of Camelot(symbolizing idyllic happiness,high hopes,and humanitarianism)that makes his American promise an attractive calling and continues to entice Democrats to emulate his destiny.展开更多
利用单向S-粗集(one direction singular rough sets)与它的动态特性,给出F-阶梯知识、F-阶梯度的概念。利用这些概念,提出F-阶梯知识分辩定理、最小F-阶梯知识挖掘-发现定理、最大F-阶梯知识挖掘-发现定理、知识发现依赖-筛选定理与F-...利用单向S-粗集(one direction singular rough sets)与它的动态特性,给出F-阶梯知识、F-阶梯度的概念。利用这些概念,提出F-阶梯知识分辩定理、最小F-阶梯知识挖掘-发现定理、最大F-阶梯知识挖掘-发现定理、知识发现依赖-筛选定理与F-阶梯知识内潜藏原理,给出F-阶梯知识挖掘-发现准则及应用。这些结果是单向S-粗集的新特性与单向S-粗集的动态特性的新应用。展开更多
S-粗集(singular rough sets)存在三种形式:单向S-粗集(one direction singular rough sets),单向S-粗集对偶(dualof one direction singular rough sets)和双向S-粗集(two direction singular rough sets)。S-粗集具有动态特性,遗传特...S-粗集(singular rough sets)存在三种形式:单向S-粗集(one direction singular rough sets),单向S-粗集对偶(dualof one direction singular rough sets)和双向S-粗集(two direction singular rough sets)。S-粗集具有动态特性,遗传特性,记忆特性和隐藏特性。利用S-粗集,给出了f-隐藏知识,F-隐藏知识,隐藏度和隐藏-依赖度的概念,提出了关于隐藏知识的隐藏定理和隐藏-依赖定理,并给出应用。展开更多
P-集合(packet sets)是由内P-集合X■(internal packet set X■)与外P-集合XF(outer packet set XF)构成的集合对;或者,(X■,XF)是P-集合。P-集合具有动态特性。P-集合的动态特性来自对集合X的属性集合α给予部分属性补充和部分属性删...P-集合(packet sets)是由内P-集合X■(internal packet set X■)与外P-集合XF(outer packet set XF)构成的集合对;或者,(X■,XF)是P-集合。P-集合具有动态特性。P-集合的动态特性来自对集合X的属性集合α给予部分属性补充和部分属性删除。利用P-集合的结构与动态特性,给出了F-记忆信息生成概念、F-记忆信息的度量与F-记忆信息的F-记忆圆概念,提出了F-记忆信息存在性定理、F-记忆信息恢复定理与F-记忆信息特性定理。利用这些结果,给出了F-记忆信息的应用。指出P-集合是研究动态信息系统的一个新的数学模型与数学方法。展开更多
基金Project supported by National Natural Science Foundation ofChina (Grant No .10271071) Youth Science Foundation ofShanghai (Grant No .214511)
文摘In this paper, a description of the John contact points of a regular simplex was given. It was prove that the John ellipsoid of any simplex is ball ff and only ff this simplex is regular and that the John ellipsoid of a regular simplex is its inscribed ball.
基金Supported by the Nature Science Foundation of Henan Province（102300410153） Supported by the Natural Science Foundation of Shandong Province（Y2007H02）
文摘由使用一个方向双单个不平的集合，(F) 知识的概念和它的 F 减小被给；(F) 知识和属性补充的 F 减小定理 F 减小的冗余的原则被介绍；一个方向双单个不平的集合是单个不平的集合的基本形式之一；知识减小是不平的集合和不平的系统理论上的一个新研究方向。
文摘In this paper, we introduce some new classes of the totally quasi-G-asymptotically nonexpansive mappings and the totally quasi-G-asymptotically nonexpansive semigroups. Then, with the generalized f-projection operator, we prove some strong convergence theorems of a new modified Halpern type hybrid iterative algorithm for the totally quasi-G-asymptotically nonexpansive semigroups in Banach space. The results presented in this paper extend and improve some corresponding ones by many others.
文摘Several historians confirm that John Fitzgerald Kennedy has been dead longer than he lived.Alan Brinkley says,“On the morning of 22 November,1963,he woke up as President with admirers and detractors,a man with a record-some of it good,some of it not.He became a legend posthumously”(John F.Kennedy Presidential Library and Museum,2012).A charismatic Kennedy unveiled an optimistic American dream that captivated the hearts of every American citizen.He used the TV to channel his sentiments about civil rights,communism,and made the United States strong to resist evil in the world.By speaking directly to the national audience,“he made the television more famous than it was”(Gillon,2019).His presidency is intertwined to the visionary ideal of Camelot(symbolizing idyllic happiness,high hopes,and humanitarianism)that makes his American promise an attractive calling and continues to entice Democrats to emulate his destiny.
文摘利用单向S-粗集(one direction singular rough sets)与它的动态特性,给出F-阶梯知识、F-阶梯度的概念。利用这些概念,提出F-阶梯知识分辩定理、最小F-阶梯知识挖掘-发现定理、最大F-阶梯知识挖掘-发现定理、知识发现依赖-筛选定理与F-阶梯知识内潜藏原理,给出F-阶梯知识挖掘-发现准则及应用。这些结果是单向S-粗集的新特性与单向S-粗集的动态特性的新应用。
文摘S-粗集(singular rough sets)存在三种形式:单向S-粗集(one direction singular rough sets),单向S-粗集对偶(dualof one direction singular rough sets)和双向S-粗集(two direction singular rough sets)。S-粗集具有动态特性,遗传特性,记忆特性和隐藏特性。利用S-粗集,给出了f-隐藏知识,F-隐藏知识,隐藏度和隐藏-依赖度的概念,提出了关于隐藏知识的隐藏定理和隐藏-依赖定理,并给出应用。
文摘P-集合(packet sets)是由内P-集合X■(internal packet set X■)与外P-集合XF(outer packet set XF)构成的集合对;或者,(X■,XF)是P-集合。P-集合具有动态特性。P-集合的动态特性来自对集合X的属性集合α给予部分属性补充和部分属性删除。利用P-集合的结构与动态特性,给出了F-记忆信息生成概念、F-记忆信息的度量与F-记忆信息的F-记忆圆概念,提出了F-记忆信息存在性定理、F-记忆信息恢复定理与F-记忆信息特性定理。利用这些结果,给出了F-记忆信息的应用。指出P-集合是研究动态信息系统的一个新的数学模型与数学方法。
