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- William F. Trench (69)
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Articles 1 - 30 of 95
Full-Text Articles in Physical Sciences and Mathematics
Excess Versions Of The Minkowski And Hölder Inequalities, Iosif Pinelis
Excess Versions Of The Minkowski And Hölder Inequalities, Iosif Pinelis
Iosif Pinelis
No abstract provided.
Homogenization In Perforated Domains And With Soft Inclusions, Brandon C. Russell
Homogenization In Perforated Domains And With Soft Inclusions, Brandon C. Russell
Brandon Russell
Power-Series.Pdf, Iosif Pinelis
Power-Series.Pdf, Iosif Pinelis
Iosif Pinelis
A New Angle On An Old Construction: Approximating Inscribed N-Gons, Robert Milnikel
A New Angle On An Old Construction: Approximating Inscribed N-Gons, Robert Milnikel
Robert Milnikel
No abstract provided.
An Unnoticed Consequence Of Szego's Distribution Theorem, William F. Trench
An Unnoticed Consequence Of Szego's Distribution Theorem, William F. Trench
William F. Trench
No abstract provided.
A Covariance Inequality With A Non-Monotone Function, Martin Egozcue
A Covariance Inequality With A Non-Monotone Function, Martin Egozcue
Martin Egozcue
No abstract provided.
The Sen Limit, Adrian Clingher, Ron Donagi, Martijn Wijnholt
The Sen Limit, Adrian Clingher, Ron Donagi, Martijn Wijnholt
Adrian Clingher
Early Investigations In Conformal And Differential Geometry, Raymond T. Walter
Early Investigations In Conformal And Differential Geometry, Raymond T. Walter
Raymond Walter
When A Mechanical Model Goes Nonlinear, Lisa D. Humphreys, P. J. Mckenna
When A Mechanical Model Goes Nonlinear, Lisa D. Humphreys, P. J. Mckenna
Lisa D Humphreys
This paper had its origin in a curious discovery by the first author in research performed with an undergraduate student. The following odd fact was noticed: when a mechanical model of a suspension bridge (linear near equilibrium but allowed to slacken at large distance in one direction) is shaken with a low-frequency periodic force, several different periodic responses can result, many with high-frequency components.
On The Influence Of Damping In Hyperbolic Equations With Parabolic Degeneracy, Ralph Saxton, Katarzyna Saxton
On The Influence Of Damping In Hyperbolic Equations With Parabolic Degeneracy, Ralph Saxton, Katarzyna Saxton
Ralph Saxton
This paper examines the effect of damping on a nonstrictly hyperbolic 2x2 system. It is shown that the growth of singularities is not restricted as in the strictly hyperbolic case where dissipation can be strong enough to preserve the smoothness of solutions globally in time. Here, irrespective of the stabilizing properties of damping, solutions are found to break down in finite time on a line where two eigenvalues coincide in state space.
Characterization And Properties Of $(R,S_\Sigma)$-Commutative Matrices, William F. Trench
Characterization And Properties Of $(R,S_\Sigma)$-Commutative Matrices, William F. Trench
William F. Trench
No abstract provided.
Characterization And Properties Of $(R,S_\Sigma)$-Commutative Matrices, William F. Trench
Characterization And Properties Of $(R,S_\Sigma)$-Commutative Matrices, William F. Trench
William F. Trench
Let $R=P \diag(\gamma_{0}I_{m_{0}}, \gamma_{1}I_{m_{1}}, \dots, \gamma_{k-1}I_{m_{k-1}})P^{-1}\in\mathbb{C}^{m\times m}$ and $S_{\sigma}=Q\diag(\gamma_{\sigma(0)}I_{n_{0}},\gamma_{\sigma(1)}I_{n_{1}}, \dots,\gamma_{\sigma(k-1)}I_{n_{k-1}})Q^{-1}\in\mathbb{C}^{n\times n}$, where $m_{0}+m_{1}+\cdots +m_{k-1}=m$, $n_{0}+n_{1}+\cdots+n_{k-1}=n$, $\gamma_{0}$, $\gamma_{1}$, \dots, $\gamma_{k-1}$ are distinct complex numbers, and $\sigma :\mathbb{Z}_{k}\to\mathbb{Z}_{k}= \{0,1, \dots, k-1\}$. We say that $A\in\mathbb{C}^{m\times n}$ is $(R,S_{\sigma})$-commutative if $RA=AS_{\sigma}$. We characterize the class of $(R,S_{\sigma})$-commutative matrrices and extend results obtained previously for the case where $\gamma_{\ell}=e^{2\pi i\ell/k}$ and $\sigma(\ell)=\alpha\ell+\mu \pmod{k}$, $0 \le \ell \le k-1$, with $\alpha$, $\mu\in\mathbb{Z}_{k}$. Our results are independent of $\gamma_{0}$, $\gamma_{1}$, \dots, $\gamma_{k-1}$, so long as they are distinct; i.e., if $RA=AS_{\sigma}$ for some choice of $\gamma_{0}$, $\gamma_{1}$, \dots, $\gamma_{_{k-1}}$ (all distinct), then $RA=AS_{\sigma}$ for arbitrary of …
Fractional Trigonometric Functions In Complex-Valued Space: Applications Of Complex Number To Local Fractional Calculus Of Complex Function, Yang Xiao-Jun
Xiao-Jun Yang
This paper presents the fractional trigonometric functions in complex-valued space and proposes a short outline of local fractional calculus of complex function in fractal spaces.
Asymptotic Preconditioning Of Linear Homogeneous Systems Of Differential Equations, William F. Trench
Asymptotic Preconditioning Of Linear Homogeneous Systems Of Differential Equations, William F. Trench
William F. Trench
No abstract provided.
The 1905 Einstein Equation In A General Mathematical Analysis Model Of Quasars, Byron E. Bell
The 1905 Einstein Equation In A General Mathematical Analysis Model Of Quasars, Byron E. Bell
Byron E. Bell
From Euler To Witten: A Short Survey Of The Volume Conjecture In Knot Theory, Uwe Kaiser
From Euler To Witten: A Short Survey Of The Volume Conjecture In Knot Theory, Uwe Kaiser
Uwe Kaiser
No abstract provided.
The 1905 Einstein Equation In A General Mathematical Analysis Model Of Quasars, Byron E. Bell
The 1905 Einstein Equation In A General Mathematical Analysis Model Of Quasars, Byron E. Bell
Byron E. Bell
No abstract provided.
Properties Of Multilevel Block $\Alpha$-Circulants, William F. Trench
Properties Of Multilevel Block $\Alpha$-Circulants, William F. Trench
William F. Trench
No abstract provided.
On Nonautonomous Linear Systems Of Differential And Difference Equations With $R$-Symmetric Coefficient Matrices, William F. Trench
On Nonautonomous Linear Systems Of Differential And Difference Equations With $R$-Symmetric Coefficient Matrices, William F. Trench
William F. Trench
No abstract provided.
Problems Of Local Fractional Definite Integral Of The One-Variable Non-Differentiable Function, Yang Xiao-Jun
Problems Of Local Fractional Definite Integral Of The One-Variable Non-Differentiable Function, Yang Xiao-Jun
Xiao-Jun Yang
It is proposed that local fractional calculas introduced by Kolwankar and Gangal is extended by the concept of Jumarie’s fractional calculus and local fractional definite integral is redefined. The properties and the theorems of local fractional calculus are discussed in this paper.
Characterization And Properties Of Matrices With K-Involutory Symmetries, William F. Trench
Characterization And Properties Of Matrices With K-Involutory Symmetries, William F. Trench
William F. Trench
No abstract provided.
Modular Invariants For Lattice Polarized K3 Surfaces, Adrian Clingher, Charles F. Doran
Modular Invariants For Lattice Polarized K3 Surfaces, Adrian Clingher, Charles F. Doran
Adrian Clingher
No abstract provided.
A Mathematical Regression Of The U.S. Gross Private Domestic Investment 1959-2001, Byron E. Bell
A Mathematical Regression Of The U.S. Gross Private Domestic Investment 1959-2001, Byron E. Bell
Byron E. Bell
SUMMARY OF PROJECT What did I do? A study of the role the U.S. stock markets and money markets have possibly played in the Gross Private Domestic Investment (GPDI) of the United States from the year 1959 to the year 2001 and I created a Multiple Linear Regression Model (MLRM).
A New Type Of Orthogonality In Banach Spaces, Abeer Hasan
A New Type Of Orthogonality In Banach Spaces, Abeer Hasan
Abeer Hasan
Absolute Equal Distribution Of The Eigenvalues Of Discrete Sturm-Liouville Problems, William F. Trench
Absolute Equal Distribution Of The Eigenvalues Of Discrete Sturm-Liouville Problems, William F. Trench
William F. Trench
No abstract provided.
Functional Perturbations Of Nonoscillatory Second Order Difference Equations, William F. Trench
Functional Perturbations Of Nonoscillatory Second Order Difference Equations, William F. Trench
William F. Trench
No abstract provided.
Universal Series By Trigonometric System In Weighted Spaces, Sergo Armenak Episkoposian (Yepiskoposyan)
Universal Series By Trigonometric System In Weighted Spaces, Sergo Armenak Episkoposian (Yepiskoposyan)
Sergo Armenak Episkoposian (Yepiskoposyan)
No abstract provided.
Characterization And Properties Of $(R,S)$-Symmetric, $(R,S)$-Skew Symmetric, And $(R,S)$-Conjugate Matrices, William F. Trench
Characterization And Properties Of $(R,S)$-Symmetric, $(R,S)$-Skew Symmetric, And $(R,S)$-Conjugate Matrices, William F. Trench
William F. Trench
No abstract provided.
Asymptotic Relationships Between Singular Values Of Structured Matrices Similarly Generated By Different Formal Expansions Of A Rational Function, William F. Trench
Asymptotic Relationships Between Singular Values Of Structured Matrices Similarly Generated By Different Formal Expansions Of A Rational Function, William F. Trench
William F. Trench
No abstract provided.
Multilevel Matrices With Involutory Symmetries And Skew Symmetries, William F. Trench
Multilevel Matrices With Involutory Symmetries And Skew Symmetries, William F. Trench
William F. Trench
No abstract provided.