‎Let $G$ be a finite group‎. ‎An element $gin G$ is called non-vanishing‎, ‎if for‎ ‎every irreducible complex character $chi$ of $G$‎, ‎$chi(g)neq 0$‎. ‎The bi-Cayley graph ${rm BCay}(G,T)$ of $G$ with respect to a subset $Tsubseteq G$‎, ‎is an undirected graph with‎ ‎vertex set $Gtimes{1,2}$ and edge set ${{(x,1),(tx,2)}mid xin G‎, ‎ tin T}$‎. ‎Let ${rm nv}(G)$ be the set‎ ‎of all non-vanishi...

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Broadly defined, revenue management (RM) is the process of maximizing revenue from a fixed amount of perishable inventory using “market segmentation” and “demand management” techniques. While RM is not new (in fact it is as old as commerce, e.g., haggling in a market can be considered a form of RM), the theory and practice of RM have seen significant scientific and practical advances in the las...

A well-known and widely used approach in the study of algebraic objects is the investigation of their sub-objects and quotient objects. Consider the set of Boolean functions on F2 of degree less than or equal to r for 0 ≤ r ≤ n, which can also be seen as the Reed-Muller code RM(r, n) of order r. The automorphism group of RM(r, n) is equal to the general affine group AGL(n, 2) for all 1 ≤ r ≤ n ...

Numerous cytochrome P450s are involved in secondary metabolite biosynthesis. The biosynthetic gene cluster for reveromycin A (RM-A), which is a promising lead compound with anti-osteoclastic activity, also includes a P450 gene, revI. To understand the roles of P450revI, we comprehensively characterized the enzyme by genetic, kinetic, and structural studies. The revI gene disruptants (ΔrevI) res...

Although the medial temporal lobe is thought to be critical for recognition memory (RM), the specific role of the hippocampus in RM remains uncertain. We investigated the effects of transient unilateral hippocampal electrical stimulation (ES), subthreshold for afterdischarge, on delayed item RM in epilepsy patients implanted with bilateral hippocampal depth electrodes. RM was assessed using a n...

The simplified implementation of Recursive Median (RM) filters is discussed. It is shown that every RM filter has an alternative implementation that implies a fast algorithm, (O(1) per pixel on average), for the onedimensional RM filter. We also consider the case when RM filters are applied in a cascade of increasing filter window lengths, namely the RM sieve. It will be shown that the RM sieve...