We describe three computer searches (in PARI/GP, Maple, and Mathematica, respectively) which led to the discovery of a number of identities of Rogers-Ramanujan type and identities of false theta functions.

ABSTRACT First Person is a series of interviews with the first authors selection papers published in Journal Cell Science, helping researchers promote themselves alongside their papers. Madison Rogers author on ‘ PDGFR dimer-specific activation, trafficking and downstream signaling dynamics’, JCS. PhD student lab Dr Katherine A. Fantauzzo at University Colorado Anschutz Medical Campus, Aurora, ...

Ultrasound Catheter Transducers for Intracranial Brain Imaging and Therapy by Carl Dean Herickhoff Department of Biomedical Engineering Duke University Date:_______________________ Approved: ___________________________ Stephen W. Smith, Supervisor ___________________________ Richard B. Fair ___________________________ Gerald A. Grant ___________________________ Kathryn R. Nightingale __________...

It has long been conjectured that the crossing number cr(Km,n) of the complete bipartite graph Km,n is equal to Z(m,n) := bm−1 2 cb2 cbn−1 2 cb2 c. Another long-standing conjecture is that the crossing number cr(Kn) of the complete graph Kn is equal to Z(n) := 4b2 cbn−1 2 cbn−2 2 cbn−3 2 c. In this talk, I will outline a new method that improves the asymptotic lower bounds to 0.83Z(m, n) and 0....