Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Gauges for the self‐similar sets
View through CrossRef
AbstractFor a self‐similar set E with the open set condition we completely determine the class of its Hausdorff gauges and the class of its prepacking gauges. Moreover, its Hausdorff measures and its packing premeasures with respect to the corresponding gauges are estimated. Without the open set condition we prove that a doubling gauge function is a packing gauge of E if and only if it is a prepacking gauge of E. Also, we give some extensions and applications of these results. Here a gauge function is called a Hausdorff, a prepacking, and a packing gauge of a set, if with respect to the function the set has positive and finite Hausdorff measure, packing premeasure, and packing measure, respectively. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Title: Gauges for the self‐similar sets
Description:
AbstractFor a self‐similar set E with the open set condition we completely determine the class of its Hausdorff gauges and the class of its prepacking gauges.
Moreover, its Hausdorff measures and its packing premeasures with respect to the corresponding gauges are estimated.
Without the open set condition we prove that a doubling gauge function is a packing gauge of E if and only if it is a prepacking gauge of E.
Also, we give some extensions and applications of these results.
Here a gauge function is called a Hausdorff, a prepacking, and a packing gauge of a set, if with respect to the function the set has positive and finite Hausdorff measure, packing premeasure, and packing measure, respectively.
(© 2008 WILEY‐VCH Verlag GmbH & Co.
KGaA, Weinheim).
Related Results
THE ‘PARENT’ IN THE PARENTING STYLE:
A CORRELATIONAL STUDY EXPLORING THE IMPACT OF PARENTING ON SELF-CONCEPT OF THE ADOLESCENT (Preprint)
THE ‘PARENT’ IN THE PARENTING STYLE:
A CORRELATIONAL STUDY EXPLORING THE IMPACT OF PARENTING ON SELF-CONCEPT OF THE ADOLESCENT (Preprint)
BACKGROUND
The present research attempts to explore the dynamics of parent child relationship. The investigation aims at understanding the impact of parenti...
Innovative Rigless Well Test Solution with Powered Sub-Surface Shut-In Wireless Telemetry System to Enhance Dynamic Reservoir Characterization Cost-Effectively
Innovative Rigless Well Test Solution with Powered Sub-Surface Shut-In Wireless Telemetry System to Enhance Dynamic Reservoir Characterization Cost-Effectively
Abstract
A key part of dynamic reservoir characterization is pressure transient analysis, which is essential in understanding near wellbore and far field formation p...
Polymer Composites with Nanomaterials for Strain Gauging: A Review
Polymer Composites with Nanomaterials for Strain Gauging: A Review
As the complexity of structures and materials used in modern engineering increases, so does the need for more accurate and reliable methods of stress and strain monitoring. Strain ...
SELF-ESTEEM AND SELF-EFFICACY AMONG NEWSCASTERS AND NEWS REPORTERS
SELF-ESTEEM AND SELF-EFFICACY AMONG NEWSCASTERS AND NEWS REPORTERS
The present study aimedto investigaterelationship between self-esteem and self-efficacy among news casters and news reporters and to compare both groups in self-esteemand self-effi...
The Automedial Zaniness of Ryan Trecartin
The Automedial Zaniness of Ryan Trecartin
IntroductionThe American artist Ryan Trecartin makes digital videos that centre on the self-presentations common to video-sharing sites such as YouTube. Named by New Yorker critic ...
Spinners Run While Perforating
Spinners Run While Perforating
Abstract
A novel technique which offers scope for significant rig time savings has been successfully applied in the Brent Field in the UKCS. This technique involv...
VERIFICATION OF THE TORQUE GAUGES
VERIFICATION OF THE TORQUE GAUGES
The article deals with the methodology of verification of mechanical and electronic torque gauges. Legislative metrological requirements are set for these gauges and the verificati...
Fuzzimetric Sets: An Integrated Platform for Both Types of Interval Fuzzy Sets
Fuzzimetric Sets: An Integrated Platform for Both Types of Interval Fuzzy Sets
Type-2 sets are the generalized “fuzzified” sets that can be used in the fuzzy system. Unlike type-1 fuzzy sets, Type-2 allow the fuzzy sets to be “fu...