The Research of Bivariate Minimum-Energy Frames and Frames of Subspace and Application in Particle Physics

2012 ◽  
Vol 459 ◽  
pp. 280-283
Author(s):  
Yan Hui Lv
Keyword(s):  
Particle Physics ◽  
Materials Science ◽  
Minimum Energy ◽  
Research Field ◽  
Wavelet Frames ◽  
Decomposition Scheme ◽  
Generalized Multiresolution Analysis ◽  
Properties Of Materials ◽  
Active Research ◽  
The Relationship

Materials science is an applied science concerned with the relationship between the struc- ture and properties of materials. Frames have become the focus of active research field, both in the- ory and in applications. In the article, the binary minimum-energy wavelet frames and frame multi- resolution are introduced. A precise exist-ence criterion for minimum-energy frames in terms of an ineqity condition on the Laurent poly-nomial symbols of the filter functions is provided. An explicit formula for designing minimum-energy frames is also established. The sufficient con-dition for the existence of affine pseudoframes is obtained by virtue of a generalized multiresolution analysis. The pyramid decomposition scheme is established based on such a generalized multiresolution structure.

The Bivariate Minimum-Energy Tight Wavelet Frames and Applications in Economics and Management

2014 ◽  
Vol 915-916 ◽  
pp. 1412-1417
Author(s):  
Jian Guo Shen
Keyword(s):  
Multiresolution Analysis ◽  
Material Science ◽  
Minimum Energy ◽  
Research Field ◽  
Wavelet Frames ◽  
Science And Engineering ◽  
Interdisciplinary Field ◽  
Existence Criterion ◽  
Generalized Multiresolution Analysis ◽  
Active Research

Material science is an interdisciplinary field applying the properties of matter to various areas of science and engineering. Frames have become the focus of active research field, both in the-ory and in applications. In the article, the binary minimum-energy wavelet frames and frame multi-resolution resolution are introduced. A precise existence criterion for minimum-energy frames in terms of an ineqity condition on the Laurent poly-nomial symbols of the filter functions is provided. An explicit formula for designing minimum-energy frames is also established. The sufficient condi tion for the existence of tight wavelet frames is obtained by virtue of a generalized multiresolution analysis.

A Study of Binary Minimum-Energy Shortly Supported Wavelet Frames Associated with a Scaling Function

2011 ◽  
Vol 219-220 ◽  
pp. 500-503
Author(s):  
Qing Jiang Chen ◽  
Gai Hu
Keyword(s):  
Explicit Formula ◽  
Multiresolution Analysis ◽  
Scaling Function ◽  
Minimum Energy ◽  
Research Field ◽  
Sufficient Condition ◽  
Wavelet Frames ◽  
Existence Criterion ◽  
Generalized Multiresolution Analysis ◽  
Active Research

Frames have become the focus of active research field, both in theory and in applications. In the article, the binary minimum-energy wavelet frames and frame multiresolution resolution are introduced. A precise existence criterion for minimum-energy frames in terms of an ineqity conditi- -on on the Laurent poly-nomial symbols of the filter functions is provided. An explicit formula for designing minimum-energy frames is also established. The sufficient condition for the existence of affine pseudoframes is obtained by virtue of a generalized multiresolution analysis. The pyramid de -composition scheme is established based on such a generalized multiresolution structure.

The Research of Bivariate Minimum-Energy Wavelet Frames and Pseudoframes

2010 ◽  
Vol 159 ◽  
pp. 1-6
Author(s):  
Ping An Wang
Keyword(s):  
Explicit Formula ◽  
Multiresolution Analysis ◽  
Minimum Energy ◽  
Laurent Polynomial ◽  
Sufficient Condition ◽  
Wavelet Frames ◽  
Decomposition Scheme ◽  
Existence Criterion ◽  
Generalized Multiresolution Analysis ◽  
Active Research

Frames have become the focus of active research, both in theory and in applications. In the article, the notion of bivariate minimum-energy wavelet frames is introduced. A precise existence criterion for minimum-energy frames in terms of an inequality condition on the Laurent polynomial symbols of the filter functions is provided. An explicit formula for designing minimum-energy frames is also establish- ed. The sufficient condition for the existence of a class of affine pseudoframes with filter banks is obtained by virtue of a generalized multiresolution analysis. The pyramid decomposition scheme is established based on such a generalized multiresol- -ution structure.

A Review on the Glass Transition of Polymer on Surface and in the Thin Film

2014 ◽  
Vol 1002 ◽  
pp. 17-22
Author(s):  
Ran Huang
Keyword(s):  
Thin Film ◽  
Glass Transition ◽  
Materials Science ◽  
Research Field ◽  
Science And Engineering ◽  
Chain Mobility ◽  
Geometric Confinement ◽  
Materials Science And Engineering ◽  
Active Research ◽  
Bulk Behavior

Since the first paper by Keddie et al. published on 1994 [21], the glass transition of polymer systems on surface/thin film has been an active research field and attracted many groups interests. Numerous works have been done, in both experimental and computation approaches, to investigate this subject. In this paper we reviewed the milestone findings in the last twenty years. Generally with only minor disagreements in the mechanism all the mainstream works are consistent in the conclusions that: 1) Geometric confinement in thin film or on surface reduces the glass transition temperatureTgcomparing to the bulk behavior; 2) For supported film the substrate-film interaction is critical and its effect may surpass the geometry effects and rise increase onTg; 3) Chain mobility and molecular weight are critical but the detailed phenomena vary with systems. Notwithstanding the achievement has been made, due to the controversy of glass transition itself and technology limitation on characterization on glass transitions on thin film, the research in this field is still a long-marching effort and breakthrough findings are expected for the development in materials science and engineering and feedback knowledge to understand the glass transition on the theoretical base.

Fracture Mechanics

1985 ◽  
Vol 38 (10) ◽  
pp. 1271-1275 ◽  
Author(s):  
J. R. Rice
Keyword(s):  
Fracture Mechanics ◽  
Solid Mechanics ◽  
Materials Science ◽  
Crack Tip ◽  
Fatigue Loading ◽  
Research Field ◽  
Fault Dynamics ◽  
New Methodologies ◽  
Active Research ◽  
Fracture Processes

Fracture mechanics is an active research field that is currently advancing on many fronts. This appraisal of research trends and opportunities notes the promising developments of nonlinear fracture mechanics in recent years and cites some of the challenges in dealing with topics such as ductile-brittle transitions, failure under substantial plasticity or creep, crack tip processes under fatigue loading, and the need for new methodologies for effective fracture analysis of composite materials. Continued focus on microscale fracture processes by work at the interface of solid mechanics and materials science holds promise for understanding the atomistics of brittle vs ductile response and the mechanisms of microvoid nucleation and growth in various materials. Critical experiments to characterize crack tip processes and separation mechanisms are a pervasive need. Fracture phenomena in the contexts of geotechnology and earthquake fault dynamics also provide important research challenges.

Pressure-stabilized GdN6 with armchair-antiarmchair structure as a high energy density material

2021 ◽  
Author(s):  
Lulu Liu ◽  
Dinghui Wang ◽  
Shoutao Zhang ◽  
Haijun Zhang
Keyword(s):  
Energy Density ◽  
Materials Science ◽  
High Energy ◽  
Industrial Applications ◽  
Research Field ◽  
High Energy Density ◽  
Structure Search ◽  
High Energy Density Materials ◽  
High Energy Density Material ◽  
Active Research

The quest for high-energy-density materials is an active research field in materials science and industrial applications. Using the swarm-intelligence structure search method and first-principles calculations, we identify several hitherto unknown...

Parameterization of Masks for Tight Wavelet Frames and Multiple Pseudoframes and Applications in Mechanical Engineering

2014 ◽  
Vol 915-916 ◽  
pp. 1448-1451
Author(s):  
Yu Min Yu
Keyword(s):  
Mechanical Engineering ◽  
Materials Science ◽  
Constructive Method ◽  
Sufficient Condition ◽  
Wavelet Frames ◽  
Decomposition Scheme ◽  
Symmetric Extension ◽  
Analysis Design ◽  
Affine Frames ◽  
Resolution Structure

Mechanical engineering is a discipline of engineering that applies the principles of engine ering, physics and materials science for analysis, design, manufacturing, and maintenance of mecha nical systems. In this work, the construction of 4-band tight wavelet frames with symmetric proper-ties using symmetric extension and parameterization of the paraunitary matrix. The notion of an 4-band generalized multiresolution structure of subspace is proposed. The characteristics of affine pseudoframes for subspaces is investigated. The construction of a generalized multiresolution structure of Paley-Wiener subspace of is studied. The pyramid decomposition scheme is obta-ined based on such a generalized multiresolution structure and a sufficient condition for its exist-ence is presented. A constructive method for affine frames of based on a generalized multi-resolution structure is presented.

Everything you've always wanted to know about what your students think they know but were afraid to ask.

2000 ◽  
Vol 632 ◽  
Author(s):  
Eric Werwa
Keyword(s):  
Materials Science ◽  
Science Museum ◽  
Science And Engineering ◽  
Museum Exhibit ◽  
Museum Visitors ◽  
The Public ◽  
Materials Science And Engineering ◽  
Properties Of Materials ◽  
Formal Science ◽  
Lay Public

ABSTRACTA review of the educational literature on naive concepts about principles of chemistry and physics and surveys of science museum visitors reveal that people of all ages have robust alternative notions about the nature of atoms, matter, and bonding that persist despite formal science education experiences. Some confusion arises from the profound differences in the way that scientists and the lay public use terms such as materials, metals, liquids, models, function, matter, and bonding. Many models that eloquently articulate arrangements of atoms and molecules to informed scientists are not widely understood by lay people and may promote naive notions among the public. Shifts from one type of atomic model to another and changes in size scales are particularly confusing to learners. People's abilities to describe and understand the properties of materials are largely based on tangible experiences, and much of what students learn in school does not help them interpret their encounters with materials and phenomena in everyday life. Identification of these challenges will help educators better convey the principles of materials science and engineering to students, and will be particularly beneficial in the design of the Materials MicroWorld traveling museum exhibit.

Empathy as moderator of gender differences in Chinese insurance agents' business ethical sensitivity

2017 ◽  
Vol 45 (6) ◽  
pp. 1029-1042 ◽  
Author(s):  
Na Zhang ◽  
Jian Zhang ◽  
Jing Wang
Keyword(s):  
Gender Differences ◽  
Business Ethics ◽  
Research Field ◽  
Ethical Sensitivity ◽  
Men And Women ◽  
Insurance Agents ◽  
Factors Associated ◽  
Ethics Research ◽  
The Relationship ◽  
Insight Into

To expand the business ethics research field, and to increase society's understanding of Chinese insurance agents' business ethics, we investigated how gender differences are related to agents' business ethical sensitivity and whether or not these relationships are moderated by empathy. Through a regression analysis of the factors associated with the business ethical sensitivity of 417 Chinese insurance agents, we found that gender played an important role in affecting business ethical sensitivity, and empathy significantly affected business ethical sensitivity. Furthermore, empathy had a moderating effect on the relationship between gender and business ethical sensitivity. Both men and women with strong empathy scored high on business ethical sensitivity; however, men with strong empathy had higher levels of business ethical sensitivity than did women with little empathy. The findings add to the literature by providing insight into the mechanisms responsible for the benefits of empathy in increasing business ethical sensitivity.

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