We begin with establishing properties of the unit revenue function, g(·). Lemma 6. 1. g(·) is a non-negative, continuous, non-decreasing, and concave function on R+, with g(0) = 0. 2. yg(1/y) is non-decreasing and concave on R++. 3. g(y)/y is non-increasing on R+. 4. If u, v > 0, then g(u) g(v) ≥ min( u v , 1), 1 u ∫ u 0 g(v)dv ≤ g(u/2). Proof. 1. That g(·) is non-negative, continuous and non-d...

The R-Tree and variant indexes have been used for multidimensional indexing since 1984 and applied to temporal data since 1994. Despite this, there are few functional implementations of the index that can be applied directly to the temporal data. This paper explores the use of the index for temporal subsequence searches and identifies two implications that must be considered so the index can be...

Tibicinoides, with three small endemic California cicada species, has a confusing, intertwined systematic history Okanagana that we unravel here. An ingroup including all species of Tibicinoides and the majority (84.7%) were sampled for six gene regions, polarized Clidophleps, Okanagodes, Subpsaltria, Tibicina outgroups, subjected to Bayesian phylogenetic analysis. Although was monophyletic fro...