scholarly journals The Cauchy Two-Matrix Model, C-Toda Lattice and CKP Hierarchy

2018 ◽  
Vol 29 (1) ◽  
pp. 3-27 ◽  
Author(s):  
Chunxia Li ◽  
Shi-Hao Li
Keyword(s):  
Matrix Model ◽  
Toda Lattice ◽  
Ckp Hierarchy ◽  
Model C

scholarly journals Unified Models for Multiphase Coupled Inductors

2020 ◽  
Author(s):  
Minjie Chen
Keyword(s):  
Matrix Model ◽  
Circuit Model ◽  
Experimental Measurements ◽  
Dual Model ◽  
Spice Simulation ◽  
Theoretical Derivation ◽  
Coupled Inductors ◽  
Transformer Model ◽  
Circuit Duality ◽  
Model C

<div> <div> <div> <p>Circuit models for multiwinding coupled magnetics are summarized, compared, and unified. Multiwinding coupled magnetics are classified into parallel coupled structure and series coupled structure. For parallel coupled structure, the relation- ships between a) inductance matrix model, b) extended cantilever model, c) magentic circuit model, d) multiwinding transformer model, e) gyrator-capacitor model, and f) inductance dual model are investigated and discussed. These models represent identical physical relationships in the multiphase coupled magnetics, but show different fundamental principles and offer distinct design insights. The circuit duality between the series coupled structure and parallel coupled structure is revealed. Design equations linking these models are compared and unified. The models and design equations are verified through theoretical derivation, SPICE simulation, and experimental measurements.</p></div></div></div>

scholarly journals ABJM matrix model and 2D Toda lattice hierarchy

2019 ◽  
Vol 2019 (3) ◽  
Author(s):  
Tomohiro Furukawa ◽  
Sanefumi Moriyama
Keyword(s):  
Matrix Model ◽  
Toda Lattice ◽  
Toda Lattice Hierarchy

INTEGRABLE STRUCTURES OF UNITARY MATRIX MODELS

1992 ◽  
Vol 07 (20) ◽  
pp. 4803-4824 ◽  
Author(s):  
S. KHARCHEV ◽  
A. MIRONOV
Keyword(s):  
Matrix Models ◽  
Matrix Model ◽  
Toda Lattice ◽  
Discrete Analog ◽  
Unitary Matrix ◽  
Component Systems ◽  
Unitary Model ◽  
Two Component Systems ◽  
Hermitian Matrix Model ◽  
Toda Lattice Hierarchy

The unitary matrix model is considered from the viewpoint of integrability. We demonstrate that this is an integrable system embedded into a two-dimensional Toda lattice hierarchy which corresponds to an integrable chain (modified Volterra) under a special reduction. The interrelations between this chain and other chains (like the Toda one) are demonstrated to be given by Bäcklund transformations. The case of the symmetric unitary model is discussed in detail and demonstrated to be connected with the Hermitian matrix model. This connection as a discrete analog of the correspondence between KdV and MKdV systems is investigated more thoroughly. We also demonstrate that unitary matrix models can be considered as two-component systems as well.

Toward a relational matrix model of avatar-mediated interactions.

2019 ◽  
Vol 8 (3) ◽  
pp. 287-295 ◽  
Author(s):  
Jaime Banks ◽  
Caleb T. Carr
Keyword(s):  
Matrix Model

Developing the basis of the matrix model of the regional innovation subsystem

2020 ◽  
Vol 18 (11) ◽  
pp. 2183-2204
Author(s):  
E.I. Moskvitina
Keyword(s):  
Russian Federation ◽  
Matrix Model ◽  
Federal District ◽  
Assessment Method ◽  
Expert Assessment ◽  
Regional Innovation ◽  
Regional Strategies ◽  
Analysis And Synthesis ◽  
The Matrix ◽  
The Russian Federation

Subject. This article deals with the issues related to the formation and implementation of the innovation capacity of the Russian Federation subjects. Objectives. The article aims to develop the organizational and methodological foundations for the formation of a model of the regional innovation subsystem. Methods. For the study, I used the methods of analysis and synthesis, economics and statistics analysis, and the expert assessment method. Results. The article presents a developed basis of the regional innovation subsystem matrix model. It helps determine the relationship between the subjects and the parameters of the regional innovation subsystem. To evaluate the indicators characterizing the selected parameters, the Volga Federal District regions are considered as a case study. The article defines the process of reconciliation of interests between the subjects of regional innovation. Conclusions. The results obtained can be used by regional executive bodies when developing regional strategies for the socio-economic advancement of the Russian Federation subjects.

5-Benzylidene-4-Oxazolidinones are Synergistic with Antibiotics for the Treatment of Staphylococcus Aureus Biofilms

2019 ◽  
Author(s):  
Bram Frohock ◽  
Jessica M. Gilbertie ◽  
Jennifer C. Daiker ◽  
Lauren V. Schnabel ◽  
Joshua Pierce
Keyword(s):  
Staphylococcus Aureus ◽  
Human Health ◽  
Matrix Model ◽  
Bacterial Load ◽  
Collagen Matrix ◽  
Resistance Mechanisms ◽  
Novel Therapeutics ◽  
Innovative Treatment ◽  
Antibiotic Action ◽  
Biofilm Infection

<div>The failure of frontline antibiotics in the clinic is one of the most serious threats to human health and requires a multitude of novel therapeutics and innovative treatment approaches to curtail the growing crisis. In addition to traditional resistance mechanisms resulting in the lack of efficacy of many antibiotics, most chronic and recurring infections are further made tolerant to antibiotic action by the presence of biofilms. Herein, we report an expanded set of 5-benzylidene-4-oxazolidinones that are able to inhibit the formation of Staphylococcus aureus biofilms, disperse preformed biofilms and in combination with common antibiotics are able to significantly reduce the bacterial load in a robust collagen-matrix model of biofilm infection.</div>

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