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Articles 1 - 13 of 13
Full-Text Articles in Mathematics
Trends In Uspto Office Actions, Ron D. Katznelson
Trends In Uspto Office Actions, Ron D. Katznelson
Ron D. Katznelson
No abstract provided.
On The Gauge Equivalence Of Twisted Quantum Doubles Of Elementary Abelian And Extra-Special 2-Groups, Christopher Goff, Geoffrey Mason, Siu-Hung Ng
On The Gauge Equivalence Of Twisted Quantum Doubles Of Elementary Abelian And Extra-Special 2-Groups, Christopher Goff, Geoffrey Mason, Siu-Hung Ng
Christopher Goff
To Boldly Go: Current Work And Future Directions In Mathematics And Popular Culture, Christopher Goff, Sarah J. Greenwald
To Boldly Go: Current Work And Future Directions In Mathematics And Popular Culture, Christopher Goff, Sarah J. Greenwald
Christopher Goff
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.
Digit Reversal Without Apology, Lara Pudwell
Graphing Transformations: Does Order Make A Difference?, John Hawkins
Graphing Transformations: Does Order Make A Difference?, John Hawkins
John B. Hawkins
No abstract provided.
Open Source Surveys With Asset, Bert Wachsmuth
Symbolization Of Generating Functions; An Application Of The Mullin–Rota Theory Of Binomial Enumeration, Tian-Xiao He, Peter J.S. S, Leetsch C. Hsu
Symbolization Of Generating Functions; An Application Of The Mullin–Rota Theory Of Binomial Enumeration, Tian-Xiao He, Peter J.S. S, Leetsch C. Hsu
Tian-Xiao He
We have found that there are more than a dozen classical generating functions that could be suitably symbolized to yield various symbolic sum formulas by employing the Mullin–Rota theory of binomial enumeration. Various special formulas and identities involving well-known number sequences or polynomial sequences are presented as illustrative examples. The convergence of the symbolic summations is discussed.
Fourier Transform Of Bernstein–Bézier Polynomials, Tian-Xiao He, Charles K. Chui, Qingtang Jiang
Fourier Transform Of Bernstein–Bézier Polynomials, Tian-Xiao He, Charles K. Chui, Qingtang Jiang
Tian-Xiao He
Explicit formulae, in terms of Bernstein–Bézier coefficients, of the Fourier transform of bivariate polynomials on a triangle and univariate polynomials on an interval are derived in this paper. Examples are given and discussed to illustrate the general theory. Finally, this consideration is related to the study of refinement masks of spline function vectors.
Two Number-Theoretic Problems That Illustrate The Power And Limitations Of Randomness, Andrew Shallue
Two Number-Theoretic Problems That Illustrate The Power And Limitations Of Randomness, Andrew Shallue
Andrew Shallue
This thesis contains work on two problems in algorithmic number theory. The first problem is to give an algorithm that constructs a rational point on an elliptic curve over a finite field. A fast and easy randomized algorithm has existed for some time. We prove that in the case where the finite field has characteristic 2, there is a deterministic algorithm with the same asymptotic running time as the existing randomized algorithm.
Construction Of Biorthogonal B-Spline Type Wavelet Sequences With Certain Regularities, Tian-Xiao He
Construction Of Biorthogonal B-Spline Type Wavelet Sequences With Certain Regularities, Tian-Xiao He
Tian-Xiao He
No abstract provided.
The Abacus Of Universal Logics, Rudolf Kaehr
The Sheffer Group And The Riordan Group, Tian-Xiao He, Peter J.S. Shiue, Leetsch C. Hsu
The Sheffer Group And The Riordan Group, Tian-Xiao He, Peter J.S. Shiue, Leetsch C. Hsu
Tian-Xiao He
We define the Sheffer group of all Sheffer-type polynomials and prove the isomorphism between the Sheffer group and the Riordan group. An equivalence of the Riordan array pair and generalized Stirling number pair is also presented. Finally, we discuss a higher dimensional extension of Riordan array pairs.