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Articles 271 - 288 of 288
Full-Text Articles in Mathematics
The Expectation Of Success Using A Monte Carlo Factoring Method – Some Statistics On Quadratic Class Numbers, Duncan A. Buell
The Expectation Of Success Using A Monte Carlo Factoring Method – Some Statistics On Quadratic Class Numbers, Duncan A. Buell
Faculty Publications
A method has been proposed for factoring an integer N by using the structure of the class groups of quadratic fields of radicand – kN for various small multipliers k. We discuss the method and an implementation of the method, and various theoretical questions which have an impact on the practical use of the method in factoring. Some of the theoretical questions relate to the nature of class numbers and class groups; we present extensive statistical results on the class numbers and class groups of imaginary quadratic fields.
On The Differentiability Of Functions In Rn, Ronald A. Devore, Robert C. Sharpley
On The Differentiability Of Functions In Rn, Ronald A. Devore, Robert C. Sharpley
Faculty Publications
No abstract provided.
Error-Bounds For Gaussian Quadrature And Weighted-L1 Polynomial Approximation, Ronald A. Devore, L R. Scott
Error-Bounds For Gaussian Quadrature And Weighted-L1 Polynomial Approximation, Ronald A. Devore, L R. Scott
Faculty Publications
Error bounds for Gaussian quadrature are given in terms of the number of quadrature points and smoothness properties of the function whose integral is being approximated. An intermediate step involves a weighted-L' polynomial approximation problem which is treated in a more general context than that specifically required to bound the Gaussian quadrature error.
On First Countable, Countably Compact Spaces. I: (Omega-1,Omega-1-Star)-Gaps, Peter J. Nyikos, Jerry E. Vaughan
On First Countable, Countably Compact Spaces. I: (Omega-1,Omega-1-Star)-Gaps, Peter J. Nyikos, Jerry E. Vaughan
Faculty Publications
No abstract provided.
Metrizability And The Frechet-Urysohn Property In Topological Groups, Peter J. Nyikos
Metrizability And The Frechet-Urysohn Property In Topological Groups, Peter J. Nyikos
Faculty Publications
A question of Arhangel'skii, whether weakly first countable topological groups are metrizable, is answered in two ways: if the Hausdorff axiom is assumed, the answer is yes, but in general a weakly first countable topological group need not be pseudometrizable. The former result is obtained as a corollary of a more general sufficient condition for a sequential group to be Fr&chet-Urysohn. A general necessary and sufficient condition for a sequential group to be Frechet-Urysohn is given, and a number of questions are raised. Examples are given to show in what respect the theorems of the paper are the "best possible".
An Octic Reciprocity Law Of Scholz Type, Duncan A. Buell, Kenneth S. Williams
An Octic Reciprocity Law Of Scholz Type, Duncan A. Buell, Kenneth S. Williams
Faculty Publications
No abstract provided.
Bayes Estimation Of Reliability For Mixtures Of Life Distributions, William J. Padgett, Chris P. Tsokos
Bayes Estimation Of Reliability For Mixtures Of Life Distributions, William J. Padgett, Chris P. Tsokos
Faculty Publications
No abstract provided.
Maximal Residue Difference Sets Modulo P, Duncan A. Buell, Kenneth S. Williams
Maximal Residue Difference Sets Modulo P, Duncan A. Buell, Kenneth S. Williams
Faculty Publications
Let p ≡ 1 (mod 4) be a prime. A residue difference set modulo p is a set S = {ai} of integers ai such that (ai/p) = +1 and ((ai - aj)/p) = +1 for all i and j with i ≠ j, where (n/p) is the Legendre symbol modulo p. Let mp be the cardinality of a maximal such set S. The authors estimate the size of mp.
Fragments Of 1st-Order Logic, I: Universal Horn Logic, George F. Mcnulty
Fragments Of 1st-Order Logic, I: Universal Horn Logic, George F. Mcnulty
Faculty Publications
No abstract provided.
A Random Differential-Equation Approach To Probability Distribution Of Bod And Do In Streams, William J. Padgett, G Schultz, Chris P. Tsokos
A Random Differential-Equation Approach To Probability Distribution Of Bod And Do In Streams, William J. Padgett, G Schultz, Chris P. Tsokos
Faculty Publications
No abstract provided.
Undecidable Properties Of Finite Sets Of Equations, George F. Mcnulty
Undecidable Properties Of Finite Sets Of Equations, George F. Mcnulty
Faculty Publications
No abstract provided.
Application Of Theorems Of Schur And Albert, Thomas L. Markham
Application Of Theorems Of Schur And Albert, Thomas L. Markham
Faculty Publications
No abstract provided.
Global Bifurcation Theorems For Nonlinearly Perturbed Operator Equations, John Macbain
Global Bifurcation Theorems For Nonlinearly Perturbed Operator Equations, John Macbain
Faculty Publications
No abstract provided.
Application Of Separation Theorem For Hermitian Matrices, Thomas L. Markham
Application Of Separation Theorem For Hermitian Matrices, Thomas L. Markham
Faculty Publications
No abstract provided.
Graphs With 1-Factors, David Sumner
Graphs With 1-Factors, David Sumner
Faculty Publications
In this paper it is shown that if G is a connected graph of order 2n (n > 1) not containing a 1-factor, then for each k, 1
Nonlinear Stochastic Integral-Equation Of Hammerstein Type, William J. Padgett
Nonlinear Stochastic Integral-Equation Of Hammerstein Type, William J. Padgett
Faculty Publications
No abstract provided.
Stochastic Integro-Differential Equations Of Volterra Type, William J. Padgett, Chris P. Tsokos
Stochastic Integro-Differential Equations Of Volterra Type, William J. Padgett, Chris P. Tsokos
Faculty Publications
No abstract provided.
Nonnegative Matrices Whose Inverses Are M-Matrices, Thomas L. Markham
Nonnegative Matrices Whose Inverses Are M-Matrices, Thomas L. Markham
Faculty Publications
A characterization of a class of totally nonnegative matrices whose inverses are M-matrices is given. It is then shown that if A is nonnegative of order n and A^-1 is an M-matrix, then the almost principal minors of A of all orders are nonnegative.