SummaryPeripheral artery disease (PAD) disproportionately affects women and underrepresented, historically marginalized groups (UMGs); however, these patients are not well-represented in clinical research of PAD treatments. Most enrolled trials older white men. White underrepresented populations any gender present differently respond to therapies compared with They must be represented studies p...

Chaitin’s notion of program elegance, that is of the smallest program to satisfy some specification, does not explicitly take account of the balance between a formal notation’s expressive power and the richness of its semantics. To explore this wider space of elegance, we are investigating realisations of the Busy Beaver game (BBG) which involves finding programs of given size that produce maxi...

The incompressibility method is an elementary yet powerful proof technique. It has been used successfully in many areas [8]. To further demonstrate its power and elegance we exhibit new simple proofs using the incompressibility method.

The incompressibility method is an elementary yet powerful proof technique. It has been used successfully in many areas [11]. To further demonstrate its power and elegance we exhibit new simple proofs using the incompressibility method.

This paper focuses on two binomial identities. The proofs illustrate the power and elegance in enumerative/algebraic combinatorial arguments, modern machineassisted techniques of Wilf-Zeilberger and the classical tools of generatingfunctionology.