scholarly journals An Optimal Lower Eigenvalue System

2011 ◽  
Vol 2011 ◽  
pp. 1-20
Author(s):  
Yingfan Liu

An optimal lower eigenvalue system is studied, and main theorems including a series of necessary and suffcient conditions concerning existence and a Lipschitz continuity result concerning stability are obtained. As applications, solvability results to some von-Neumann-type input-output inequalities, growth, and optimal growth factors, as well as Leontief-type balanced and optimal balanced growth paths, are also gotten.

2021 ◽  
Vol 19 (8) ◽  
pp. 1568-1592
Author(s):  
Nikolai I. KURYSHEV

Subject. This article deals with the problem of constructing a Leontief's input–output matrix. Objectives. The article aims to determine the rules for constructing a Leontief's input–output matrix on the basis of data on production time and quantity of product output. Methods. For the study, I used the methods of logical and mathematical analyses. Results. The article formulates the rules for constructing a Leontief's input–output matrix, taking into account differences in the time of production, quantity of output, as well as the conditions for the reproduction of the resources expended. It summarizes these rules for the J. von Neumann model. Conclusions. The proposed approach to the analysis of the material mechanism of economic reproduction defines the relationship between the quantitative and cost characteristics of the production and consumption of products and resources. This relationship opens up new opportunities for the application of input–output models to create simple and accurate algorithms for identifying and predicting the macroeconomic trends.


1997 ◽  
Vol 49 (4) ◽  
pp. 736-748 ◽  
Author(s):  
Gero Fendler

AbstractIt is proved in this note, that a strongly continuous semigroup of (sub)positive contractions acting on an Lp-space, for 1 < p < ∞ p ≠ 2, can be dilated by a strongly continuous group of (sub)positive isometries in a manner analogous to the dilation M. A. Akçoglu and L. Sucheston constructed for a discrete semigroup of (sub)positive contractions. From this an improvement of a von Neumann type estimation, due to R. R.Coifman and G.Weiss, on the transfer map belonging to the semigroup is deduced.


2021 ◽  
Vol 11 (1) ◽  
Author(s):  
William Frost ◽  
Kelvin Elphick ◽  
Marjan Samiepour ◽  
Atsufumi Hirohata

AbstractThe current information technology has been developed based on von Neumann type computation. In order to sustain the rate of development, it is essential to investigate alternative technologies. In a next-generation computation, an important feature is memory potentiation, which has been overlooked to date. In this study, potentiation functionality is demonstrated in a giant magnetoresistive (GMR) junction consisting of a half-metallic Heusler alloy which can be a candidate of an artificial synapse while still achieving a low resistance-area product for low power consumption. Here the Heusler alloy films are grown on a (110) surface to promote layer-by-layer growth to reduce their crystallisation energy, which is comparable with Joule heating induced by a controlled current introduction. The current-induced crystallisation leads to the reduction in the corresponding resistivity, which acts as memory potentiation for an artificial GMR synaptic junction.


1991 ◽  
Vol s3-62 (3) ◽  
pp. 607-646 ◽  
Author(s):  
D. B. Hinton ◽  
M. Klaus ◽  
J. K. Shaw

2020 ◽  
Vol 67 (1) ◽  
pp. 77-92
Author(s):  
Emil Panek

In the author’s earlier papers concerning asymptotic characteristics of the optimal growth processes in non-stationary Gale economies with multilane production turnpikes, it is assumed that production technology used in time period 𝑡𝑡 may also be used in the next period. Such an assumption, relevant for short periods, is difficult to justify in the longer term. The paper contains a proof of the so called ‘weak’ effect of the multilane turnpike in a non-stationary Gale economy with changing technology, where this assumption has been suspended.


Blood ◽  
2007 ◽  
Vol 110 (11) ◽  
pp. 4103-4103
Author(s):  
Camillo Almici ◽  
Rosanna Verardi ◽  
Simona Braga ◽  
Arabella Neva ◽  
Domenico Russo ◽  
...  

Abstract Mesenchymal stem cells (MSC) are multipotent cells that are considered one of the most promising product for cellular therapy in regenerative medicine. MSC have been obtained and expanded from bone marrow and umbilical cord blood in adequate amounts for clinical applications. Under the right conditions, MSC could migrate from bone marrow into the peripheral circulation; however MSC have not been routinely isolated from peripheral blood, and studies are rare and not conclusive. The aim of the present study was to evaluate mobilised peripheral blood (MPB), obtained from patients undergoing apheresis collection of circulating hematopoietic progenitor cells, as a potential source of MSC for clinical applications. MPB samples (500–900 × 106 cells, N = 17) were separated by negative lineage-depletion immunoselection (RosetteSep). Selected cells were seeded in multi-well plates at low density in MesenCult Basal Medium without and with different combinations of growth factors (EGF, PDGF-BB, b-FGF). On reaching confluence, adherent cells were detached by 0.25% trypsin-EDTA treatment and replated for at least two passages. At each passage, surface antigen expression was analyzed by flowcytometry (CD45, CD34, CD105, CD44, CD73, CD166, CD31, HLA-DR and VE-caderine). Following immunoselection 9.5–17.1 × 106 cells were recovered from MPB samples. Cultured cells reached confluency in 3–4 weeks on first passage and in two weeks thereafter. Immunophenotyping showed negativity for CD45 antigen. The absence of growth factors in culture medium conditioned MSC growth capability, while the addition of PDGF-BB+EGF or b-FGF was able to boost the number of CD45−/CD73+/CD90+ cells in culture (see figure). However expansion remains still sub-optimal, having been reached in 8/17 samples. In conclusion, we demonstrate that MSC can be obtained from MPB, but expansion requires longer time period and appears more difficult compared to bone marrow. Therefore, further studies need to be conducted to find better culture conditions and optimal growth factor combinations to support MPB-derived MSC expansion. Figure Figure


2011 ◽  
Vol 474-476 ◽  
pp. 11-14
Author(s):  
Fang Qin Xu ◽  
Lei Jiang

A stochastic Von Neumann model to describe companies’ input-output process on mobile services is provided. Through the theories from input-output economics, an extended singular stochastic Von Neumann model on mobile service is researched. The problem of stability of this kind of stochastic Von Neumann model on mobile services is researched. A new mathematic method is applied to study the singular systems without converting them into general systems. The parameter uncertainties are considered. A new stability criterion for the extended stochastic Von Neumann model is given to ensure the stability of input-output model.


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