WebSite Logo
  • Content
  • Similar Resources
  • Metadata
  • Cite This
  • Log-in
  • Fullscreen
Log-in
Do not have an account? Register Now
Forgot your password? Account recovery
  1. Applied Mathematics-A Journal of Chinese Universities
  2. Applied Mathematics-A Journal of Chinese Universities : Volume 20
  3. Applied Mathematics-A Journal of Chinese Universities : Volume 20, Issue 2, June 2005
  4. Hausdorff centred measure of non-symmetry cantor sets
Loading...

Please wait, while we are loading the content...

Applied Mathematics-A Journal of Chinese Universities : Volume 32
Applied Mathematics-A Journal of Chinese Universities : Volume 31
Applied Mathematics-A Journal of Chinese Universities : Volume 30
Applied Mathematics-A Journal of Chinese Universities : Volume 29
Applied Mathematics-A Journal of Chinese Universities : Volume 28
Applied Mathematics-A Journal of Chinese Universities : Volume 27
Applied Mathematics-A Journal of Chinese Universities : Volume 26
Applied Mathematics-A Journal of Chinese Universities : Volume 25
Applied Mathematics-A Journal of Chinese Universities : Volume 24
Applied Mathematics-A Journal of Chinese Universities : Volume 23
Applied Mathematics-A Journal of Chinese Universities : Volume 22
Applied Mathematics-A Journal of Chinese Universities : Volume 21
Applied Mathematics-A Journal of Chinese Universities : Volume 20
Applied Mathematics-A Journal of Chinese Universities : Volume 20, Issue 4, December 2005
Applied Mathematics-A Journal of Chinese Universities : Volume 20, Issue 3, September 2005
Applied Mathematics-A Journal of Chinese Universities : Volume 20, Issue 2, June 2005
Exact boundary controllability for higher order quasilinear hyperbolic equations
Stability of functional differential equations with infinite delays
Periodicity in a delayed semi-ratio-dependent predator-prey system
A class of singularly perturbed nonlinear boundary value problem
Existence theorems for a second order three-point boundary value problem with impulses
Existence of solutions of a family of nonlinear boundary value problems in L $^{2}$-spaces
Spacelike submanifolds in the de Sitter space S p n+p (c) with constant scalar curvature
Precise asymptotics in the Baum-Katz and davis law of large numbers for positively associated sequences
Empirical likelihood for linear models under m-dependent errors
A subdivision scheme for volumetric models
Two scheduling problems in group technology with deteriorating jobs
Hausdorff centred measure of non-symmetry cantor sets
Further study on a dual algorithm
Applied Mathematics-A Journal of Chinese Universities : Volume 20, Issue 1, March 2005
Applied Mathematics-A Journal of Chinese Universities : Volume 19
Applied Mathematics-A Journal of Chinese Universities : Volume 18
Applied Mathematics-A Journal of Chinese Universities : Volume 17
Applied Mathematics-A Journal of Chinese Universities : Volume 16
Applied Mathematics-A Journal of Chinese Universities : Volume 15
Applied Mathematics-A Journal of Chinese Universities : Volume 14
Applied Mathematics-A Journal of Chinese Universities : Volume 13
Applied Mathematics-A Journal of Chinese Universities : Volume 12

Similar Documents

...
Arithmetic sum of two homogeneous cantor sets

Article

...
Hausdorff Measure of Homogeneous Cantor Set

Article

...
Hausdorff measures for a class of homogeneous cantor sets

Article

...
Remarks on limit sets of infinite iterated function systems

Article

...
Ultrametric Cantor sets and growth of measure

Article

...
Exact Hausdorff Measure and Intervals of Maximum Density For

Article

...
ON THE HAUSDORFF h-MEASURE OF CANTOR SETS (2004)

Article

...
On intersections of Cantor sets: Hausdorff measure

Article

...
On the Hausdorff h-measure of Cantor sets

Article

Hausdorff centred measure of non-symmetry cantor sets

Content Provider Springer Nature Link
Author Huojun, Ruan Meifeng, Dai Weiyi, Su
Copyright Year 2005
Abstract Let 0<λ$_{1}$,λ$_{2}$<1 and 1λ$_{1}$-λ$_{2}$≥ max {λ$_{1}$,λ$_{2}$}. Let (λ$_{1}$,λ$_{2}$) be the attractor of the iterated function system {φ$_{1}$,φ$_{2}$} on the line, where φ$_{1}$(itx)=λ$_{1}$ x and φ$_{2}$(x)=1−λ$_{1}$+λ$_{1}$ x,x∈R. K(λ$_{1}$,λ$_{2}$) is called a non-symmetry Cantor set. In this paper, it is proved that the exact Hausdorff centred measure of K(λ$_{1}$,λ$_{2}$) equals 2$^{ s }$(1−λ)$^{ s }$, where λ=max{λ$_{1}$,λ$_{2}$} and s is the Hausdorff dimension of K(λ$_{1}$,λ$_{2}$).
Starting Page 235
Ending Page 242
Page Count 8
File Format PDF
ISSN 10051031
Journal Applied Mathematics-A Journal of Chinese Universities
Volume Number 20
Issue Number 2
e-ISSN 19930445
Language English
Publisher Editorial Committee of Applied Mathematics
Publisher Date 2005-01-01
Publisher Place Hangzhou
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword non-symmetry Cantor set Hausdorff centred measure iterated function system Mathematics Applications of Mathematics
Content Type Text
Resource Type Article
Subject Applied Mathematics
  • About
  • Disclaimer
  • Feedback
  • Sponsor
  • Contact
  • Chat with Us
About National Digital Library of India (NDLI)
NDLI logo

National Digital Library of India (NDLI) is a virtual repository of learning resources which is not just a repository with search/browse facilities but provides a host of services for the learner community. It is sponsored and mentored by Ministry of Education, Government of India, through its National Mission on Education through Information and Communication Technology (NMEICT). Filtered and federated searching is employed to facilitate focused searching so that learners can find the right resource with least effort and in minimum time. NDLI provides user group-specific services such as Examination Preparatory for School and College students and job aspirants. Services for Researchers and general learners are also provided. NDLI is designed to hold content of any language and provides interface support for 10 most widely used Indian languages. It is built to provide support for all academic levels including researchers and life-long learners, all disciplines, all popular forms of access devices and differently-abled learners. It is designed to enable people to learn and prepare from best practices from all over the world and to facilitate researchers to perform inter-linked exploration from multiple sources. It is developed, operated and maintained from Indian Institute of Technology Kharagpur.

Learn more about this project from here.

Disclaimer

NDLI is a conglomeration of freely available or institutionally contributed or donated or publisher managed contents. Almost all these contents are hosted and accessed from respective sources. The responsibility for authenticity, relevance, completeness, accuracy, reliability and suitability of these contents rests with the respective organization and NDLI has no responsibility or liability for these. Every effort is made to keep the NDLI portal up and running smoothly unless there are some unavoidable technical issues.

Feedback

Sponsor

Ministry of Education, through its National Mission on Education through Information and Communication Technology (NMEICT), has sponsored and funded the National Digital Library of India (NDLI) project.

Contact National Digital Library of India
Central Library (ISO-9001:2015 Certified)
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India | PIN - 721302
See location in the Map
03222 282435
Mail: support@ndl.gov.in
Sl. Authority Responsibilities Communication Details
1 Ministry of Education (GoI),
Department of Higher Education
Sanctioning Authority https://www.education.gov.in/ict-initiatives
2 Indian Institute of Technology Kharagpur Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project https://www.iitkgp.ac.in
3 National Digital Library of India Office, Indian Institute of Technology Kharagpur The administrative and infrastructural headquarters of the project Dr. B. Sutradhar  bsutra@ndl.gov.in
4 Project PI / Joint PI Principal Investigator and Joint Principal Investigators of the project Dr. B. Sutradhar  bsutra@ndl.gov.in
Prof. Saswat Chakrabarti  will be added soon
5 Website/Portal (Helpdesk) Queries regarding NDLI and its services support@ndl.gov.in
6 Contents and Copyright Issues Queries related to content curation and copyright issues content@ndl.gov.in
7 National Digital Library of India Club (NDLI Club) Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach clubsupport@ndl.gov.in
8 Digital Preservation Centre (DPC) Assistance with digitizing and archiving copyright-free printed books dpc@ndl.gov.in
9 IDR Setup or Support Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops idr@ndl.gov.in
I will try my best to help you...
Cite this Content
Loading...