منابع مشابه
A note on Farey sequences and Hausdorff dimension
We prove that the Farey sequences can be express into equivalence classes labeled by a fractal parameter which looks like a Hausdorff dimension h defined within the interval 1 < h < 2. The classes h satisfy the same properties of the Farey series and for each value of h there exists an algebraic equation. PACS numbers: 02.10.Lh, 02.30.Lt
متن کاملA Note on Topological Properties of Non-Hausdorff Manifolds
The notion of compatible apparition points is introduced for non-Hausdorff manifolds, and properties of these points are studied. It is well known that the Hausdorff property is independent of the other conditions given in the standard definition of a topological manifold. In much of literature, a topological manifold of dimension n is a Hausdorff topological space which has a countable base of...
متن کاملA Note on Generating Functions for Hausdorff Moment Sequences
For functions f whose Taylor coefficients at the origin form a Hausdorff moment sequence we study the behaviour of w(y) := |f(γ+ iy)| for y > 0 (γ ≤ 1 fixed).
متن کاملA note on exclusion statistics parameter and Hausdorff dimension
We obtain for an anyon gas in the high temperature limit a relation between the exclusion statistics parameter g and the Hausdorff dimension h, given by g = h(2 − h). The anyonic excitations are classified into equivalence classes labeled by Hausdorff dimension, h, and in that limit, the parameter g give us the second virial coefficient for any statistics, ν. The anyonic excitations into the sa...
متن کاملA Note on Strong Jordan Separation
We establish a strengthening of Jordan separation, to the setting of maps f : X → S, where X is not necessarily a manifold, and f is not necessarily injective.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The American Mathematical Monthly
سال: 1961
ISSN: 0002-9890
DOI: 10.2307/2312489