Relationships among Interpolation Bases of Wavelet Spaces and Approximation Spaces

A multiresolution analysis is a nested chain of related approximation spaces.This nesting in turn implies relationships among interpolation bases in the approximation spaces and their derived wavelet spaces. Using these relationships, a necessary and sufficient condition is given for existence of interpolation wavelets, via analysis of the corresponding scaling functions. It is also shown that any interpolation function for an approximation space plays the role of a special type of scaling function (an interpolation scaling function) when the corresponding family of approximation spaces forms a multiresolution analysis. Based on these interpolation scaling functions, a new algorithm is proposed for constructing corresponding interpolation wavelets (when they exist in a multiresolution analysis). In simulations, our theorems are tested for several typical wavelet spaces, demonstrating our theorems for existence of interpolation wavelets and for constructing them in a general multiresolution analysis

A new comparison between solid-state thermionics and thermoelectrics

It is shown that equations for electrical current in solid-state thermionic and thermoelectric devices converge for devices with a width equal to the mean free path of electrons, yielding a common expression for intensive electronic efficiency in the two types of devices. This result is used to demonstrate that the materials parameters for thermionic and thermoelectric devices are equal, rather than differing by a multiplicative factor as previously thought

Very-long-chain fatty acid diversity in nine Heliophila seed oils

Abstract Heliophila is a genus of approximately 90 recognized plant species endemic to southern Africa and considered the most morphologically diverse genus in the family Brassicaceae. To begin to characterize chemical diversity in the genus, seed oil content and fatty acid composition were determined for 9 species, with representatives from the three major recognized clades. All species produced very-long-chain fatty acids (VLCFAs) as major components of the seed triacylglycerol (TAG) oil, with considerable diversity of fatty acid chain length. The 22-carbon (C22) monounsaturated fatty acid erucic acid (cis-13-docosenoic acid) was the dominant VLCFA in the oil of Heliophila coronopifolia at 47.6% of total seed fatty acids whereas the unusual C26 fatty acid ximenic acid (cis-17-hexacosenoic acid) dominated the VLCFA profile of oil from Heliophila scoparia at 35.8%. Heliophila africana oil was identified as a potential novel source of the nutraceutical fatty acid, nervonic acid (cis-15-tetracosenoic acid). Analysis of the oil of 3 species by sn-1,3 regioselective lipase digestion demonstrated the virtual exclusion of VLCFAs from the sn-2 position of TAG. Examination of the oil from H. scoparia by Matrix-Assisted Laser Desorption/Ionization Time-of-Flight (MALDI-TOF) Mass Spectrometry revealed the presence of high molecular weight TAGs and widespread distribution of VLCFAs among the TAG molecular species. Heliophila species have significant potential as sources of novel seed oil enriched in VLCFAs and as model species to study the mechanisms and evolution of VLCFA biosynthesis in plants

A Teaching Module for Engineers on Robotic Safety: Approaches and Effectiveness

A teaching module recently developed by the authors for engineers on robotic safety using various approaches (Powerpoint presentation and written document) is described and an assessment of the effectiveness of using the module is presented. The effectiveness of the teaching module and its different approaches is assessed by using it in a class setting, and surveying the opinions of the students. The content delivery approaches and learning approaches are also assessed, based on student opinions. The teaching module is determined to be effective at promoting student learning on robotics safety, and to offer multiple useful delivery modes. The teaching module thus allows students with different learning preferences to exploit the delivery mode the find most suitable

Methanesulfonate in the firn of King George Island, Antarctica

Methanesulfonate was investigated as a potential contributor to the sulfur budget, based on analysis of a firn core from Collins Ice Cap, King George Island, Antarctica (62°10′ S, 58°50′ W). The anion was found to be present at a mean concentration of 0.17 μeq L−1, with a maximum of 0.73 μeq L−1. Dating based on the δ 18O profile suggests that the principal peaks of methanesulfonate are associated with snow deposited in summer and autumn. A careful examination of MSA, SO4 2− and nssSO4 2− profiles indicates that two of the three peaks in the MSA profile may result mainly from migration and relocation of MSA. The mechanism responsible for this might be similar to that for deep cores from other Antarctic glaciers, supporting the migration hypothesis proposed by prior researchers and extending it to near-temperate ice. Due to the post-depositional modification, the main part of the MSA profile of the firn is no longer indicative of the seasonal pattern of MSA in the atmosphere, and the basis for calculation of the MSA/nssSO4 2− ratio should be changed. The MSA/nssS04 2 ratio obtained by a new computation is 0.22, 10% higher than that ignoring the effect of MSA migration

Periodic Anderson model with electron-phonon correlated conduction band

This paper reports dynamical mean field calculations for the periodic Anderson model in which the conduction band is coupled to phonons. Motivated in part by recent attention to the role of phonons in the $\gamma$-$\alpha$ transition in Ce, this model yields a rich and unexpected phase diagram which is of intrinsic interest. Specifically, above a critical value of the electron-phonon interaction, a first order transition with two coexisting phases develops in the temperature-hybridization plane, which terminates at a second order critical point. The coexisting phases display the familiar Kondo screened and local moment character, yet they also exhibit pronounced polaronic and bipolaronic properties, respectively.Comment: 4 pages, 6 figure

Pathogenic Cav3.2 channel mutation in a child with primary generalized epilepsy.

Two paternally-inherited missense variants in CACNA1H were identified and characterized in a 6-year-old child with generalized epilepsy. Febrile and unprovoked seizures were present in this child. Both variants were expressed in cis or isolation using human recombinant Cav3.2 calcium channels in tsA-201 cells. Whole-cell patch-clamp recordings indicated that one variant (c.3844C > T; p.R1282W) caused a significant increase in current density consistent with a pathogenic gain-of-function phenotype; while the other cis-related variant (c.5294C > T; p.A1765V) had a benign profile