给出了Elton定理不成立的点构成的集合的性质:通过构造符号空间中的柱集,证明了对一个具有概率的压缩IFS,连续函数g满足∫_(X) g dν_(1)≠∫_(X) g dν_(2),ν_(1)和ν_(2)表示IFS中2个不同的不变测度,则Elton定理不成立的点构成的零...给出了Elton定理不成立的点构成的集合的性质:通过构造符号空间中的柱集,证明了对一个具有概率的压缩IFS,连续函数g满足∫_(X) g dν_(1)≠∫_(X) g dν_(2),ν_(1)和ν_(2)表示IFS中2个不同的不变测度,则Elton定理不成立的点构成的零测集要么是空集,要么是具有满Hausdorff维数和满拓扑熵的集合。展开更多
This article defines and defends"the practical historical approach",a long-established approach to history which prizes the critical treatment of sources and,above all else,the presentation and assessment of...This article defines and defends"the practical historical approach",a long-established approach to history which prizes the critical treatment of sources and,above all else,the presentation and assessment of accurate information about the past.This approach appreciates the value of historical fact in its own right,not just when it furnishes an opportunity to build theories or to prove points.The article does not aim to make a theoretical case for empiricist history,arguing instead that the old philosophy-driven debates about empiricism have little bearing on the practice of historical research and writing.It prefers to make a practical defence of certain critical methods and habits of thought which are now sometimes dismissed as old-fashioned.It draws on a series of historians'handbooks dating from 1889 to 1980,in which the methods and principles of the practical approach were worked out and refined,and it identifies the main principles and techniques of this approach,many of which derive from the German“scientific"historical tradition,and which furnish historians with a powerful apparatus for critically analyzing sources.The article also has a polemical angle,arguing that the practical historical approach could profitably be taught more consciously inuniversities.展开更多
文摘给出了Elton定理不成立的点构成的集合的性质:通过构造符号空间中的柱集,证明了对一个具有概率的压缩IFS,连续函数g满足∫_(X) g dν_(1)≠∫_(X) g dν_(2),ν_(1)和ν_(2)表示IFS中2个不同的不变测度,则Elton定理不成立的点构成的零测集要么是空集,要么是具有满Hausdorff维数和满拓扑熵的集合。
基金supported by the China Postdoctoral Science Foundation(Grant No.003024).
文摘This article defines and defends"the practical historical approach",a long-established approach to history which prizes the critical treatment of sources and,above all else,the presentation and assessment of accurate information about the past.This approach appreciates the value of historical fact in its own right,not just when it furnishes an opportunity to build theories or to prove points.The article does not aim to make a theoretical case for empiricist history,arguing instead that the old philosophy-driven debates about empiricism have little bearing on the practice of historical research and writing.It prefers to make a practical defence of certain critical methods and habits of thought which are now sometimes dismissed as old-fashioned.It draws on a series of historians'handbooks dating from 1889 to 1980,in which the methods and principles of the practical approach were worked out and refined,and it identifies the main principles and techniques of this approach,many of which derive from the German“scientific"historical tradition,and which furnish historians with a powerful apparatus for critically analyzing sources.The article also has a polemical angle,arguing that the practical historical approach could profitably be taught more consciously inuniversities.
