1 citations · 1 across the 2 of their papers we have counts for
4 papers
Full complex wavefunction reconstruction with direct-interference ptychography
A. Ducharme, L. Clark
We demonstrate the separable reconstruction of the sample wavefunction amplitude and phase using direct-interference ptychography in scanning transmission electron microscopy. We r…
Unifying trigonometric and hyperbolic function derivatives via negative integer order polylogarithms
Andrew Ducharme
Special functions like the polygamma, Hurwitz zeta, and Lerch zeta functions have sporadically been connected with the nth derivatives of trigonometric functions. We show the polyl…
Rational Link Fertility
Andrew Ducharme
A knot K is the resultant of a knot H if there exists a minimal crossing diagram D of K such that some crossings of D can be altered to produce H. K is fertile if every prime knot…
Combinatorial Random Knots
Andrew Ducharme, Emily Peters
We explore free knot diagrams, which are projections of knots into the plane which don't record over/under data at crossings. We consider the combinatorial question of which free k…