On the Hausdorff dimension faithfulness and the Cantor series expansion
نویسندگان
چکیده
منابع مشابه
Hausdorff Dimension and Hausdorff Measure for Non-integer based Cantor-type Sets
We consider digits-deleted sets or Cantor-type sets with β-expansions. We calculate the Hausdorff dimension d of these sets and show that d is continuous with respect to β. The d-dimentional Hausdorff measure of these sets is finite and positive.
متن کاملOn Intersections of Cantor Sets: Hausdorff Measure
We establish formulas for bounds on the Haudorff measure of the intersection of certain Cantor sets with their translates. As a consequence we obtain a formula for the Hausdorff dimensions of these intersections.
متن کاملon translation of phatic communion and socio-cultural relationships between the characters of the novels
phatic communion is a cultural concept which differs across cultures. according to hofstede (2001), the u.s. tends to have individualistic culture; however, asian countries tend to have collectivistic cultures. these cultures view phatic communion differently. in individualistic cultures like u.s., phatic communion reflects speakers’ socio-cultural relationships in conversations. to see whether...
15 صفحه اولon the relationship between the knowledge of collocations and writing proficiency
بررسی رابطه دانش همنشینی لغات و مهارت نوشتاری در زبان انگلیسی چکیده این پژوهش درصدد آن است تا سه مسئله زیر را مورد بررسی قرار دهد: الف) وجود یا عدم وجود رابطه بین دانش زبان آموزان در حوزه همنشینی لغات با یکدیگر و دانش آنها در مهارت نوشتاری زبان انگلیسی؛ ب) یافتن پاسخی به این سوال که آیا تمامی انواع همنشینی های لغوی زبان انگلیسی به یک میزان برای زبان آموزان دشوارند یا خیر؛ پ) مقایسه زبان آمو...
15 صفحه اولON THE HAUSDORFF h-MEASURE OF CANTOR SETS
We estimate the Hausdorff measure and dimension of Cantor sets in terms of a sequence given by the lengths of the bounded complementary intervals. The results provide the relation between the decay rate of this sequence and the dimension of the associated Cantor set. It is well-known that not every Cantor set on the line is an s-set for some 0 ≤ s ≤ 1. However, if the sequence associated to the...
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: Methods of Functional Analysis and Topology
سال: 2020
ISSN: 1029-3531
DOI: 10.31392/mfat-npu26_4.2020.01