Determination of Subtraction Terms inS-Matrix Theory

1965 ◽  
Vol 137 (6B) ◽  
pp. B1592-B1597
Author(s):  
C. Edward Jones
Keyword(s):  
Matrix Theory

scholarly journals Study of the (n,γf) process on 239Pu

2019 ◽  
Vol 211 ◽  
pp. 02004 ◽  
Author(s):  
Esther Leal-Cidoncha ◽  
Gilles Noguere ◽  
Olivier Bouland ◽  
Olivier Serot
Keyword(s):  
Cross Section ◽  
Matrix Theory ◽  
Fission Cross Section ◽  
Neutron Multiplicity ◽  
Prompt Neutron ◽  
Neutron Resonance ◽  
Fission Reactions ◽  
R Matrix

In the neutron resonance range, fission cross section of 239Pu can be seen as a sum of the immediate (n,f) and the two-step (n,γf) fission reactions. In that case, five channel widths should be considered for a proper evaluation, those are: two opened fission channels for Jπ = 0+, one opened fission channel for Jπ = 1+ and two J-dependent for the (n,γf) reaction. The sizeable contribution of the (n,γf) process should have an impact on the determination of the capture and fission widths involved in the Reich-Moore approximation of the R-matrix theory. The present work aims to investigate this impact by using the CONRAD code and the Γγf available from literature. Prompt neutron multiplicity (νp) has been also reproduced including the contributions of the (n,γf) process.

scholarly journals Response determination of linear dynamical systems with singular matrices: A polynomial matrix theory approach

2017 ◽  
Vol 42 ◽  
pp. 423-440 ◽  
Author(s):  
Efstathios N. Antoniou ◽  
Athanasios A. Pantelous ◽  
Ioannis A. Kougioumtzoglou ◽  
Antonina Pirrotta
Keyword(s):  
Dynamical Systems ◽  
Matrix Theory ◽  
Polynomial Matrix ◽  
Theory Approach ◽  
Linear Dynamical Systems ◽  
Singular Matrices ◽  
Response Determination

scholarly journals On certain difference operators and their explicitly inverses

Filomat ◽  
2021 ◽  
Vol 35 (8) ◽  
pp. 2517-2531
Author(s):  
Pinakadhar Baliarsingh ◽  
Laxmipriya Nayak
Keyword(s):  
Functional Analysis ◽  
Present Article ◽  
Operator Theory ◽  
Matrix Theory ◽  
Matrix Inversion ◽  
Sequence Spaces ◽  
Difference Operators ◽  
Band Matrices

In recent years, a number of extensive applications of difference operators through sequence spaces have been developed. The most crucial application is being used in the study of functional analysis, operator theory and matrix theory. In this context, the present article makes an attempt to provide a survey on various difference operators and unify them by introducing two m+ 1-th sequential band matrices. The purpose of this work is also to extend the determination of their inverses and derive an adaptive recursive free formula for matrix inversions. We provide two relevant formulas for inversion of m + 1-th sequential lower and upper band matrices. Subsequently, the idea is being applied to develop a new explicitly formula for matrix inversion.

scholarly journals The Invariance Determination of the Complex Electrical System Output of

2021 ◽  
Vol 264 ◽  
pp. 01024
Author(s):  
Tokhir Makhmudov
Keyword(s):  
Dynamic Systems ◽  
Matrix Theory ◽  
Controller Synthesis ◽  
Electrical System ◽  
Electrical Systems ◽  
System Output ◽  
System Mode ◽  
Small Disturbances

This article discusses the issues of applying the technology of embedding systems to study the invariance of the output of complex controlled electrical systems under small disturbances as stationary deterministic multidimensional dynamic systems. The technique of controller synthesis based on the modern matrix theory is presented. The synthesis of the regulator of the model of a multi-machine electrical system is obtained, which makes it possible to analyze the influence of the parameters of the electrical system mode.

scholarly journals Automated determination of internal points of the coordinate grid of the blasted rock mass

2020 ◽  
Vol 168 ◽  
pp. 00015
Author(s):  
Bayan Rakishev ◽  
Zaure Rakisheva ◽  
Alma Auezova ◽  
Аsfandiyar Orynbay
Keyword(s):  
Rock Mass ◽  
Matrix Theory ◽  
Analytical Geometry ◽  
Coordinate Grid ◽  
Automated Method ◽  
Nodal Points ◽  
Determining Factors ◽  
First Time ◽  
Automated Determination

An automated method for determining the internal points of the coordinate grid of the blasted rock mass is described. It is based on the method of determining the nodal points of the coordinate grid of the blasted rock mass, which is based on taking into account the dependencies that connect the initial parameters of the blasting rock mass with the final location of the fixed points of the blasted rock mass. The determining factors are the specific height and width of the collapse, the coefficient of loosening of the rocks. The method of analysis of experimental and industrial mass explosions in quarries, methods of analytical geometry, matrix theory and linear algebra are used. For the first time in mining, an analytical method has been developed for determining the internal points of the coordinate grid of an exploded block. It includes the established functions of the movement of nodal points, components of the vectors of movement of nodal and internal points of the coordinate grid. The established dependencies allow one to determine the displacements of any point inside the coordinate grid of the blasted block from the initial coordinates of the nodal and internal points.

scholarly journals Predicting protein–ligand affinity with a random matrix framework

2016 ◽  
Vol 113 (48) ◽  
pp. 13564-13569 ◽  
Author(s):  
Alpha A. Lee ◽  
Michael P. Brenner ◽  
Lucy J. Colwell
Keyword(s):  
Ising Model ◽  
Binding Energy ◽  
Random Matrix ◽  
Statistical Physics ◽  
Matrix Theory ◽  
Rapid Determination ◽  
Ligand Affinity ◽  
Finite Sampling ◽  
Better Than

Rapid determination of whether a candidate compound will bind to a particular target receptor remains a stumbling block in drug discovery. We use an approach inspired by random matrix theory to decompose the known ligand set of a target in terms of orthogonal “signals” of salient chemical features, and distinguish these from the much larger set of ligand chemical features that are not relevant for binding to that particular target receptor. After removing the noise caused by finite sampling, we show that the similarity of an unknown ligand to the remaining, cleaned chemical features is a robust predictor of ligand–target affinity, performing as well or better than any algorithm in the published literature. We interpret our algorithm as deriving a model for the binding energy between a target receptor and the set of known ligands, where the underlying binding energy model is related to the classic Ising model in statistical physics.

scholarly journals Covariance generation for the prompt neutron multiplicity of 239Pu including the (n,γf) process

2020 ◽  
Vol 239 ◽  
pp. 12002
Author(s):  
Esther Leal-Cidoncha ◽  
Gilles Noguere ◽  
Olivier Bouland ◽  
Olivier Serot
Keyword(s):  
Covariance Matrix ◽  
Cross Section ◽  
Cross Sections ◽  
Matrix Theory ◽  
Fission Cross Section ◽  
Reaction Cross ◽  
Partial Width ◽  
R Matrix ◽  
Reaction Cross Sections

Fission cross section of 239Pu can be seen as a sum of the “immediate" fission and “two-step" (n,γf) reactions. In the Resolved Resonance Range of the reaction cross sections, the contribution of the (n,γf) process has an impact on the determination of the partial widths magnitude involved in the Reich-Moore approximation of the R-matrix theory. The present work aims to investigate this impact by using the CONRAD code and the partial width Γγf for the (n,γf) reaction calculated by Lynn et al. [1]. A special attention will be paid to the covariance matrix obtained on νp.

Galactic orbits of stars

1966 ◽  
Vol 25 ◽  
pp. 93-97
Author(s):  
Richard Woolley
Keyword(s):  
Globular Cluster ◽  
Potential Field ◽  
High Velocity ◽  
Velocity Vector ◽  
Variable Stars ◽  
The Sun ◽  
Proper Motions ◽  
Rr Lyrae ◽  
The Galaxy

It is now possible to determine proper motions of high-velocity objects in such a way as to obtain with some accuracy the velocity vector relevant to the Sun. If a potential field of the Galaxy is assumed, one can compute an actual orbit. A determination of the velocity of the globular clusterωCentauri has recently been completed at Greenwich, and it is found that the orbit is strongly retrograde in the Galaxy. Similar calculations may be made, though with less certainty, in the case of RR Lyrae variable stars.

Distance to SN 1987A and the LMC

1999 ◽  
Vol 190 ◽  
pp. 549-554
Author(s):  
Nino Panagia
Keyword(s):  
Angular Size ◽  
Large Magellanic Cloud ◽  
Magellanic Cloud ◽  
Light Curves ◽  
Distance Modulus ◽  
Absolute Size ◽  
Sn 1987A

Using the new reductions of the IUE light curves by Sonneborn et al. (1997) and an extensive set of HST images of SN 1987A we have repeated and improved Panagia et al. (1991) analysis to obtain a better determination of the distance to the supernova. In this way we have derived an absolute size of the ringRabs= (6.23 ± 0.08) x 1017cm and an angular sizeR″ = 808 ± 17 mas, which give a distance to the supernovad(SN1987A) = 51.4 ± 1.2 kpc and a distance modulusm–M(SN1987A) = 18.55 ± 0.05. Allowing for a displacement of SN 1987A position relative to the LMC center, the distance to the barycenter of the Large Magellanic Cloud is also estimated to bed(LMC) = 52.0±1.3 kpc, which corresponds to a distance modulus ofm–M(LMC) = 18.58±0.05.

International determination of the total motion of the pole

1961 ◽  
Vol 13 ◽  
pp. 29-41
Author(s):  
Wm. Markowitz
Keyword(s):  
Secular Motion ◽  
The Future

A symposium on the future of the International Latitude Service (I. L. S.) is to be held in Helsinki in July 1960. My report for the symposium consists of two parts. Part I, denoded (Mk I) was published [1] earlier in 1960 under the title “Latitude and Longitude, and the Secular Motion of the Pole”. Part II is the present paper, denoded (Mk II).

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