Note on the core matrix partial ordering

2011 ◽  
Vol 31 (1-2) ◽  
pp. 71 ◽  
Author(s):  
Jacek Mielniczuk
Keyword(s):  
Partial Ordering ◽  
The Core ◽  
Core Matrix

scholarly journals A sofic system which is not spectrally of finite type

1988 ◽  
Vol 8 (3) ◽  
pp. 483-490 ◽  
Author(s):  
Susan Williams
Keyword(s):  
Finite Type ◽  
Subshift Of Finite Type ◽  
The Core ◽  
Sofic System ◽  
Core Matrix

AbstractWe exhibit a transitive sofic system for which the core matrix has negative trace, and hence cannot share the nonzero spectrum of any subshift of finite type cover. We also show that every transitive sofic system has an integral core matrix.

Core dimension group constraints for factors of sofic shifts

1993 ◽  
Vol 13 (1) ◽  
pp. 213-224 ◽  
Author(s):  
Paul Trow ◽  
Susan Williams
Keyword(s):  
Characteristic Polynomial ◽  
The Core ◽  
Sofic Shift ◽  
Dimension Group ◽  
Core Matrix ◽  
Sofic Shifts ◽  
Factor Maps

AbstractWe give constraints on the existence of factor maps between sofic shifts. These constraints yield examples of sofic shifts of entropy lognwhich do not factor onto the fulln-shift. We also show that any prime which divides the degree of an endomorphism of a sofic shift must divide the non-leading coefficients of the characteristic polynomial of the core matrix of the shift.

scholarly journals Development of a Regenerator for an Automotive Gas Turbine Engine

1992 ◽  
Author(s):  
Junichi Sayama ◽  
Teru Morishita
Keyword(s):  
Velocity Distribution ◽  
Gas Turbine ◽  
Pressure Loss ◽  
Prediction Method ◽  
Gas Turbine Engine ◽  
Core Size ◽  
Turbine Engine ◽  
Pressure Losses ◽  
The Core ◽  
Core Matrix

It is vital to accurately estimate the temperature effectiveness and pressure loss of the regenerator when designing a gas turbine engine because these characteristics basically determine the size, weight, and fuel consumption of the regenerative gas turbine engine. In operation of an actual engine, regenerators often fail to attain the characteristics predicted by conventional methods, because there are many performance-reducing irregularities such as the non-uniform velocity distribution of gases flowing into the core. In this paper, a prediction method that is based on data from actual engine tests is examined as a way to predict regenerator temperature effectiveness and pressure losses when there are causes for deterioration of these characteristics. This method resulted in a system, taking the deterioration of these characteristics into consideration as they occur in an actual engine, that represents temperature effectiveness and pressure loss as the function of core specifications such as the core size and the core matrix. This prediction method was then used to predict the regenerator characteristics of actual engines with more than satisfactory results (The accuracy is ±1.25% for temperature effectiveness and ±4% for pressure loss).

Fast Algorithms for Computing Composite-Number-Less-Than-20-Point DFT

2013 ◽  
Vol 631-632 ◽  
pp. 1397-1402
Author(s):  
Hai Jun Li ◽  
Wei Han ◽  
Hua Shang ◽  
Pei Rong Ji
Keyword(s):  
Fast Algorithms ◽  
Matrix Operation ◽  
Factor Matrix ◽  
The Core ◽  
Twiddle Factor ◽  
Composite Number ◽  
Core Matrix ◽  
Calculation Process ◽  
The Matrix ◽  
Matrix Calculation

In this paper, fast algorithms for computing composite-number-less-than-20-point DFT is developed, it is based on the matrix operation, makes as much use of the characteristics of twiddle factor, repeatedly transforms the twiddle factor matrix, finally, the core matrixs for computing N-point DFT is obtained. This paper provides the core matrix, calculation process and the amount of computation of less-than-20-point DFT. The algorithm is easy to be understood and applied.

Characterizations of the core inverse and the core partial ordering

2014 ◽  
Vol 63 (9) ◽  
pp. 1829-1836 ◽  
Author(s):  
Hongxing Wang ◽  
Xiaoji Liu
Keyword(s):  
Partial Ordering ◽  
The Core ◽  
Core Inverse

Development of a Regenerator for an Automotive Gas Turbine Engine

1993 ◽  
Vol 115 (2) ◽  
pp. 424-431 ◽  
Author(s):  
J. Sayama ◽  
T. Morishita
Keyword(s):  
Velocity Distribution ◽  
Gas Turbine ◽  
Pressure Loss ◽  
Prediction Method ◽  
Gas Turbine Engine ◽  
Core Size ◽  
Turbine Engine ◽  
Pressure Losses ◽  
The Core ◽  
Core Matrix

It is vital to estimate the temperature effectiveness and pressure loss of the regenerator accurately when designing a gas turbine engine because these characteristics basically determine the size, weight, and fuel consumption of the regenerative gas turbine engine. In operation of an actual engine, regenerators often fail to attain the characteristics predicted by conventional methods, because there are many performance-reducing irregularities such as the nonuniform velocity distribution of gases flowing into the core. In this paper, a prediction method that is based on data from actual engine tests is examined as a way to predict regenerator temperature effectiveness and pressure losses when there are causes for deterioration of these characteristics. This method resulted in a system, taking the deterioration of these characteristics into consideration as they occur in an actual engine, that represents temperature effectiveness and pressure loss as the function of core specifications such as the core size and the core matrix. This prediction method was then used to predict the regenerator characteristics of actual engines with more than satisfactory results (the accuracy is ±1.25 percent for temperature effectiveness and ±4 percent for pressure loss).

A case of extreme simplicity of the core matrix in three-mode principal components analysis

Psychometrika ◽  
1998 ◽  
Vol 63 (3) ◽  
pp. 255-261 ◽  
Author(s):  
Takashi Murakami ◽  
Jos M. F. Ten Berge ◽  
Henk A. L. Kiers
Keyword(s):  
Principal Components Analysis ◽  
Principal Components ◽  
The Core ◽  
Core Matrix ◽  
Components Analysis

scholarly journals Further characterizations of the weak core inverse of matrices and the weak core matrix

2021 ◽  
Vol 7 (3) ◽  
pp. 3630-3647
Author(s):  
Zhimei Fu ◽  
◽  
Kezheng Zuo ◽  
Yang Chen
Keyword(s):  
Null Space ◽  
Matrix Equations ◽  
Range Space ◽  
The Core ◽  
Core Inverse ◽  
Core Matrix ◽  
Equivalent Conditions

<abstract><p>The present paper is devoted to characterizing the weak core inverse and the weak core matrix using the core-EP decomposition. Some new characterizations of the weak core inverse are presented by using its range space, null space and matrix equations. Additionally, we give several new representations and properties of the weak core inverse. Finally, we consider several equivalent conditions for a matrix to be a weak core matrix.</p></abstract>

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