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Articles 1 - 9 of 9
Full-Text Articles in Physical Sciences and Mathematics
A Comprehensive Method To Characterize Mixed Conduction Electrolytes, Michael P. Setter, J. Bruce Wagner Jr.
A Comprehensive Method To Characterize Mixed Conduction Electrolytes, Michael P. Setter, J. Bruce Wagner Jr.
Michael P. Setter
Determination of the electrical characteristics of an electrolyte is vitally important to the design of battery materials and sensors. A wide variety of parameters are available from both dc and ac measurements. Through the use of computer control and a custom multiplexor, we can perform dc polarization and ac impedance measurements on a sample, without replacing electrodes.
Two Discrete Forms Of The Jordan Curve Theorem, Lawrence N. Stout
Two Discrete Forms Of The Jordan Curve Theorem, Lawrence N. Stout
Lawrence N. Stout
The Jordan curve theorem is one of those frustrating results in topology: it is intuitively clear but quite hard to prove. In this note we will look at two discrete analogs of the Jordan curve theorem that are easy to prove by an induction argument coupled with some geometric intuition. One of the surprises is that when we discretize the plane we get two Jordan curve theorems rather than one, a consequence of the interplay between two natural products in the category of graphs. Topology in this context has been studied by Farmer in [2]. To state the discrete versions, …
Toeplitz Systems Associated With The Product Of A Formal Laurent Series And A Laurent Polynomial, William F. Trench
Toeplitz Systems Associated With The Product Of A Formal Laurent Series And A Laurent Polynomial, William F. Trench
William F. Trench
No abstract provided.
Numerical Solution Of The Eigenvalue Problem For Symmetric Rationally Generated Toeplitz Matrices, William F. Trench
Numerical Solution Of The Eigenvalue Problem For Symmetric Rationally Generated Toeplitz Matrices, William F. Trench
William F. Trench
No abstract provided.
Asymptotic Integration Of A Perturbed Constant Coefficient Differential Equation Under Mild Integral Smallness Conditions, William F. Trench
Asymptotic Integration Of A Perturbed Constant Coefficient Differential Equation Under Mild Integral Smallness Conditions, William F. Trench
William F. Trench
No abstract provided.
Comment On "Percolation In Isotropic Elastic Media.", Anthony Day, M. Thorpe
Comment On "Percolation In Isotropic Elastic Media.", Anthony Day, M. Thorpe
Anthony Roy Day
No abstract provided.
Efficient Application Of The Schauder-Tychonoff Theorem To Functional Perturbations Of $X^(N)=0$, William F. Trench
Efficient Application Of The Schauder-Tychonoff Theorem To Functional Perturbations Of $X^(N)=0$, William F. Trench
William F. Trench
No abstract provided.
Spectral Dimensionality Of Random Superconducting Networks, Anthony Roy Day, W. Xia, M. F. Thorpe
Spectral Dimensionality Of Random Superconducting Networks, Anthony Roy Day, W. Xia, M. F. Thorpe
Anthony Roy Day
We compute the spectral dimensionality d-tilde of random superconducting-normal networks by directly examining the low-frequency density of states at the percolation threshold. We find that d-tilde=4.1±0.2 and 5.8±0.3 in two and three dimensions, respectively, which confirms the scaling relation d-tilde=2d/(2-s/ nu ), where s is the superconducting exponent and nu the correlation-length exponent for percolation. We also consider the one-dimensional problem where scaling arguments predict, and our numerical simulations confirm, that d-tilde=0. A simple argument provides an expression for the density of states of the localized high-frequency modes in this special case. We comment on the connection between our calculations …
Stability Of Networks Under Tension And Pressure, Anthony Roy Day, H. Yan, M. F. Thorpe
Stability Of Networks Under Tension And Pressure, Anthony Roy Day, H. Yan, M. F. Thorpe
Anthony Roy Day
The number of zero-frequency modes of an elastic network is an important quantity in determining the stability of the network. We present a constraint-counting method for finding this number in general central-force networks that are under an external tension. The technique involves isolating the backbone and then counting constraints in the same way as for free standing networks. A detailed example of this counting is given for a random two-dimensional network subject to an external tension. The results are shown to agree with the number of zero-frequency modes as determined by a direct matrix diagonalization.