A finite set of vectors S ⊆ R is called a simplex iff S is linearly dependent but all its proper subsets are independent. This concept arises in particular from stoichiometry. We are interested in this paper in the number of simplexes contained in some H ⊆ R , which we denote by simp(H). This investigation is particularly interesting for H spanning R and containing no collinear vectors. Our mai...

Climate change is causing the distribution and abundance of many organisms to change. In particular, typical tropics are increasing in subtropical regions, a process known as tropicalization. Here, we examine changes coral assemblage structure Solitary Islands Marine Park (SIMP), over 23-year period between 1990 2013–14. Total cover decreased at all six islands sampled with concomitant decline ...

This article investigates the study of Topology Optimization (TO) in 3D elasticity problems to determine optimal topology by applying evolutionary methods Smoothing Evolutionary Structural (SESO), Sequential Element Rejection and Admission (SERA), (ESO). These procedures were implemented MATLAB code as an extension Top3d for SIMP using eight-node hexahedral finite element formulation three-dime...

The dynamic phasor (DP) method is a useful tool for developing simulation-efficient models suitable system-level analysis. In this paper, two DP of single-phase two-stage grid-connected photovoltaic (PV) system are proposed. the first model (DP-Full), PV array, capacitor, boost converter, DC-link, and MPPT (maximum power point tracking) control modeled. second (DP-Simp), DC-side simplified by a...

Abstract A robust three-dimensional multiscale structural optimization framework with concurrent coupling between scales is presented. Concurrent ensures that only the microscale data required to evaluate macroscale model during each iteration of collected and results in considerable computational savings. This represents principal novelty this permits a previously intractable number design var...

Gaucher disease is caused by mutations in the gene encoding the lysosomal enzyme glucocerebrosidase (GC). Three clinical types of Gaucher disease have been defined according to the presence (type 2 and 3) or absence (type 1) of central nervous system disease and severity of clinical manifestations. The clinical course of the disease correlates with the mutation carried by the GC gene. To produc...

Intertidal rocky reefs are complex and rich ecosystems that are vulnerable to even the smallest fluctuations in sea level. We modelled habitat loss associated with sea level rise for intertidal rocky reefs using GIS, high-resolution digital imagery, and LIDAR technology at fine-scale resolution (0.1 m per pixel). We used projected sea levels of +0.3 m, +0.5 m and +1.0 m above current Mean Low T...

This article formalizes the amortized analysis of dynamic tables parameterized with their minimal and maximal load factors and the expansion and contraction factors. A full description is found in a companion paper [1]. theory Tables-real imports ../Amortized-Complexity/Amor begin fun Ψ :: bool ⇒ real ⇒ real ⇒ real ⇒ real ⇒ nat ⇒ real where Ψ b i d x 1 x 2 n = (if n ≥ x 2 then i∗(n − x 2) else ...

For simplification to have good theoretical properties, the set of simp rules must be terminating and confluent. Completion is the process of transforming a set of simp rules, and attempting to make them terminating and confluent. We give a brief introduction to the theory of completion, and then describe an implementation of (basic) completion in HOL Light. Our notation follows that in [BN98]....

We report the discovery of a photometric variability in the bright T2.5 brown dwarf SIMP J013656.57+093347.3. Continuous J-band photometry has been obtained for several hours on four different nights. The light curves show a periodic modulation with a period of ∼2.4 hours, a peak-to-peak amplitude of ∼ 50 mmag and significant night-to-night evolution. We suggest that the light curve modulation ...