1 citations · 1 across the 4 of their papers we have counts for
5 papers
Phase Portraits of Hyperbolic Geometry
Scott B. Lindstrom, Paul Vrbik
Phase plotting is a useful way of visualising functions on complex space. We reinvent the method in the context of hyperbolic geometry, and we use it to plot functions on various r…
Extending the PSLQ Algorithm to Algebraic Integer Relations
Matthew P. Skerritt, Paul Vrbik
The PSLQ algorithm computes integer relations for real numbers and Gaussian integer relations for complex numbers. We endeavour to extend PSLQ to find integer relations consisting…
An Illustrated Introduction to the Truncated Fourier Transform
Paul Vrbik
The Truncated Fourier Transform (TFT) is a variation of the Discrete Fourier Transform (DFT/FFT) that allows for input vectors that do NOT have length for a positive inte…
Yet Another Proof of Sylvester's Determinant Identity
Jan Vrbik, Paul Vrbik
In 1857 Sylvester stated a result on determinants without proof that was recognized as important over the subsequent century. Thus it was a surprise to Akritas, Akritas and Malasch…
Playing Several Patterns Against One Another
Jan Vrbik, Paul Vrbik
We revisit the game in which each of several players chooses a pattern and then a coin is flipped repeatedly until one of these patterns is generated. In particular, we demonstrate…