Reconstruction of Space Distribution of Characteristics in Compound Structures by General Ray Method

2014 ◽  
Vol 1616 ◽  
Author(s):  
Alexandre Grebennikov
Keyword(s):  
Spline Approximation ◽  
Type Equation ◽  
Plane Domain ◽  
Space Structure ◽  
Space Distribution ◽  
Electrical Tomography ◽  
Ray Method ◽  
The Family ◽  
Plane Scheme ◽  
Laplace Type

ABSTRACTRecognition of material structures, particularly, identification of electrical properties of materials by Electrical Tomography is very important in different applied problems. In a plane case Electrical Tomography can be mathematically described as a coefficient inverse problem for the Laplace type equation, written in the divergent form. The General Ray (GR) Principle, proposed by the author, reduces the Laplace type equation to the family of ordinary differential equations with respect the traces of the potential function and the permittivity function on the lines, which intersect the plane domain. General Ray Principle was realized as General Ray method and fast algorithm for the plane domains. In presented investigation we apply the plane scheme of GR-method for some space domains to identify distribution of structure characteristics inside it. For this we consider the space domain as assemblage of plane slices. Reconstructing desired distribution in each plane slice we obtain then the space internal distribution of electrical characteristics by 3D spline approximation. We consider here specific variant of the measurement scheme for the 3D Electrical Tomography (ET), based on the variant, proposed by the author for the plane domain. Proposed approach gives, in principle, the possibility to use a large number of electrodes, obtain more values of the input data and reconstruct the desired space structure more perfectly. Computer simulation of this 3D scheme is realized as MATLAB software and justified by numerical experiments on simulated examples.

Applied Research of BIM Technology on Prestressed Steel Structures in Xuzhou Stadium

2013 ◽  
Vol 444-445 ◽  
pp. 971-975
Author(s):  
Zhan Sheng Liu ◽  
Xiao Feng Wu ◽  
Rui Long Xu
Keyword(s):  
Construction Industry ◽  
Three Dimensional ◽  
Steel Structure ◽  
Steel Structures ◽  
Space Structure ◽  
Construction Process ◽  
The Family ◽  
The Common ◽  
Three Dimensional Models ◽  
Prestressed Steel Structure

Prestressed steel structure is the common form of space structure. BIM technology is used to every field of the construction industry. In order to apply BIM technology to the design and construction of prestressed steel structures, Xuzhou stadium prestressed structure was took as an example with BIM technology. Firstly, development standards of the family are created. Secondly, three-dimensional positioning technology and then establishing three-dimensional models of BIM are designed. Finally, the construction process of Xuzhou stadium is dynamically simulated.

scholarly journals GENERAL QUASILINEAR PROBLEMS INVOLVING \(p(x)\)-LAPLACIAN WITH ROBIN BOUNDARY CONDITION

2020 ◽  
Vol 6 (1) ◽  
pp. 30
Author(s):  
Hassan Belaouidel ◽  
Anass Ourraoui ◽  
Najib Tsouli
Keyword(s):  
Mountain Pass Theorem ◽  
Type Equation ◽  
Robin Boundary Condition ◽  
Mountain Pass ◽  
Technical Approach ◽  
Symmetric Mountain Pass Theorem ◽  
Existence And Multiplicity ◽  
Quasilinear Problems ◽  
Robin Boundary ◽  
Laplace Type

This paper deals with the existence and multiplicity of solutions for a class of quasilinear problems involving \(p(x)\)-Laplace type equation, namely $$\left\{\begin{array}{lll}-\mathrm{div}\, (a(| \nabla u|^{p(x)})| \nabla u|^{p(x)-2} \nabla u)= \lambda f(x,u)&\text{in}&\Omega,\\n\cdot a(| \nabla u|^{p(x)})| \nabla u|^{p(x)-2} \nabla u +b(x)|u|^{p(x)-2}u=g(x,u) &\text{on}&\partial\Omega.\end{array}\right.$$ Our technical approach is based on variational methods, especially, the mountain pass theorem and the symmetric mountain pass theorem.

On families of domains

1957 ◽  
Vol 53 (1) ◽  
pp. 73-75
Author(s):  
A. S. Besicovitch
Keyword(s):  
Jordan Curve ◽  
Plane Domain ◽  
Single Domain ◽  
Interesting Problem ◽  
The Family ◽  
Simply Connected ◽  
Extensive Family ◽  
Complicated Nature

The boundary of a simply-connected plane domain in the simplest case is a Jordan curve, but in the general case it is of a very complicated nature. An interesting problem arises about the nature of the boundary, when we consider not a single domain but some extensive family of domains. The question is whether only exceptional domains of the family have a complicated boundary, the rest having simple ones.

Stability for p-Laplace type equation in a borderline case

2015 ◽  
Vol 116 ◽  
pp. 100-111 ◽  
Author(s):  
Fernando Farroni ◽  
Luigi Greco ◽  
Gioconda Moscariello
Keyword(s):  
Type Equation ◽  
Borderline Case ◽  
Laplace Type

scholarly journals Markets & Its Development Post-Earthquake; A Portrayal of Traditional Market Space Distribution Inequality in Padang, West Sumatra

2018 ◽  
Author(s):  
Firdaus Firdaus ◽  
Zusmelia
Keyword(s):  
Development Policy ◽  
City Government ◽  
Space Distribution ◽  
Family Needs ◽  
Economic Space ◽  
Market Economic ◽  
Economic Climate ◽  
The Family ◽  
West Sumatra ◽  
The Impact

In recent years, social and economic researchers have spent considerable efforts on investigating the impact of Sumatera Earthquake to socio-economic climate in Pasar Raya Padang. They try to find out the development policy of Padang city government where it is the prime resources giving the impact the socio-economic climate. Rehabilitation and reconstruction policy after quake reflect to the injustice of market economic space for traders. The impact is the economic space becoming uncertainty for traders who trade in the old market. The impact of economic space uncertainty is cluttering the market space and inability of traiders to survive on their economic and fulfill the family needs. This study finds out the increasing of market space distribution inequality in Pasar Raya Padang that is caused by development policy of city government. The result is the inequality of economic space distribution has been continuing to rise up since the quake

scholarly journals AN INVESTIGATION OF A NONLOCAL ENTANGLEMENT OF TWO UNCOUPLED ATOMS EMBEDDED IN A COHERENT CAVITY FIELD AND THE ASSOCIATED PHASE SPACE DISTRIBUTION: ONE QUANTUM NONLINEAR PROCESS

2010 ◽  
Vol 08 (06) ◽  
pp. 1045-1073 ◽  
Author(s):  
M. S. ATETO
Keyword(s):  
Phase Space ◽  
Transition Process ◽  
Nonlinear Process ◽  
Space Structure ◽  
Frequency Difference ◽  
Space Distribution ◽  
Cavity Field ◽  
Phase Space Distribution ◽  
Non Linear ◽  
Strong Control

Entanglement properties of two uncoupled atoms embedded in a coherent field distribution through one quantum transition process are studied. A case of non-linear Hamiltonian of the problem is considered through which the effect of non-linear media is illustrated. Moreover, the effect of the frequency difference between the inter-atomic transition and the electromagnetic field is also analyzed. We show that, adjusting the considered parameters of the non-linear media and frequency difference leads to a strong control of the degree of entanglement where excellent periodicity of evolution with significant amplitudes maxima of entanglement can be obtained that is very important in predicting the behavior of transmitted information through the application of various information processing schemes. We present a detailed and comparative study of atom–atom entanglement for two cases corresponding to different injections of the two atoms one by one into the cavity field. In addition, we present an answer to the question: How is the quantum phase space structure for a composite system related to the entanglement characteristics of the corresponding quantum system? We demonstrate how can the entanglement in nonlinear tripartite systems be strongly associated with a delocalization in the phase space distribution.

Estimates for $p$-Laplace type equation in a limiting case

2014 ◽  
Vol 25 (4) ◽  
pp. 445-448 ◽  
Author(s):  
Fernando Farroni ◽  
Luigi Greco ◽  
Gioconda Moscariello
Keyword(s):  
Type Equation ◽  
Limiting Case ◽  
Laplace Type

scholarly journals On a Liouville-type equation with sign-changing weight

2009 ◽  
Vol 139 (1) ◽  
pp. 183-192 ◽  
Author(s):  
Bernhard Ruf ◽  
Pedro Ubilla
Keyword(s):  
Variational Methods ◽  
Bounded Domain ◽  
Upper And Lower Solutions ◽  
Type Equation ◽  
Liouville Type ◽  
The Family ◽  
Image Position

We study the existence, nonexistence and multiplicity of non-negative solutions for the family of problemswhere Ω is a bounded domain in ℝ2 and λ > 0 is a parameter. The coefficient a(x) is permitted to change sign. The techniques used in the proofs are a combination of upper and lower solutions, the Trudinger–Moser inequality and variational methods. Note that when f(x, u) = 0 the equation is of Liouville type.

scholarly journals CONCEPTIONS AND PRACTICES OF NURSES WORKING WITH FAMILIES

2015 ◽  
Vol 24 (4) ◽  
pp. 941-949 ◽  
Author(s):  
Cláudia Maria de Mattos Penna ◽  
Evandro de Souza Queiróz
Keyword(s):  
Family Environment ◽  
Social Economic ◽  
Family Care ◽  
Family Health ◽  
Space Structure ◽  
Family Approach ◽  
Health Strategy ◽  
The Social ◽  
The Family ◽  
Family Health Strategy

ABSTRACT The objective of this study was to build theory about the conceptions of family developed by nurses linked to the Family Health Strategy. This is a qualitative study with a theoretical framework in symbolic interactionism and methodological framework in Grounded Theory. Twenty-one nurses were interviewed who were affiliated with the Family Health Strategy. The theoretical script constructed has three central categories, described as Conceptions of Family, Family Environment and Family Approach. Nurses build their conceptions based on three specific experiences within the social, economic and cultural environment they operate in. Their concepts of family address origin, space, structure and relationships. The family approach derives from these concepts and depends on specific skills and resources. The study provides a theoretical base for making decisions for family care as well as for teaching the family approach to nurses.

scholarly journals The Phase Space Structure of Dark Matter Halos

2020 ◽  
Author(s):  
Han Aung ◽  
Daisuke Nagai ◽  
Eduardo Rozo ◽  
Rafael García
Keyword(s):  
Dark Matter ◽  
Phase Space ◽  
Density Profile ◽  
Outer Boundary ◽  
Space Structure ◽  
Space Distribution ◽  
Dark Matter Halo ◽  
Dark Matter Halos ◽  
Sharp Drop ◽  
Phase Space Structure

Abstract The phase space structure of dark matter halos can be used to measure the mass of the halo, infer mass accretion rates, and probe the effects of modified gravity. Previous studies showed that the splashback radius can be measured in position space using a sharp drop in the density profile. Using N-body simulations, we model the distribution of the kinematically distinct infalling and orbiting populations of subhalos and halos. We show that the two are mixed spatially all the way to redge, which extends past the splashback radius defined by the drop in the spherically averaged density profile. This edge radius can be interpreted as a radius which contains a fixed fraction of the apocenters of dark matter particles. Our results highlight the possibility of measuring the outer boundary of a dark matter halo using its phase space structure and provide a firm theoretical foundation to the satellite galaxy model adopted in the companion paper (Tomooka et al. 2020), where we analyzed the phase space distribution of SDSS redMaPPer clusters.

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