A quantitative Riemann-Lebesgue lemma with application to equations with memory

An elementary proof of a quantitative version of the Riemann-Lebesgue lemma for functions supported on the half line is given. Applications to differential models with memory are discussed

Inequalities for Poisson integrals with slowly growing dimensional constants

Let Pt be the Poisson kernel. We study the following Lp inequality for the Poisson integral P f(x, t) = (Pt ∗ f)(x) with respect to a Carleson measure µ: L p(R n+1 + ,dµ) ≤ cp,nκ(µ) 1 p L p(Rn,dx) , where 1 2 the constant cp,n can be taken to be independent of the dimension n. We show that c2,n = O((log n) 1 2 ) and that cp,n = O(n 1 p − 1 2 ) for 1 < p < 2 as n → ∞. We observe that standard proofs of this inequality rely on doubling properties of cubes and lead to a value of cp,n that grows exponentially with n. P

GroovePin performance of threaded inserts

Groov-Pin corporation presented team Groovy-Pin with the capstone design project at the beginning of the fall semester. The capstone design project with Groov-Pin was primarily focused on the performance of the threaded inserts that the company manufactures. The company presented a plan of action to analyze the forces, torque and deformation caused through thread forming and thread failure using finite element analysis in Abaqus. The project goal was to create a model in Abaqus that would test the specific insert that Groov-Pin would like to analyze by creating a force or a torque on the fastener. Groov-Pin corporation presented team Groovy-Pin with the capstone design project at the beginning of the fall semester. The capstone design project with Groov-Pin was primarily focused on the performance of the threaded inserts that the company manufactures. The company presented a plan of action to analyze the forces, torque and deformation caused through thread forming and thread failure using finite element analysis in Abaqus. The project goal was to create a model in Abaqus that would test the specific insert that Groov-Pin would like to analyze by creating a force or a torque on the fastener. This semester Team Groovy-Pin was able to create a more successful pull-out test and a deformation model. The pull out test was refined so that the base material did not shear fully and instead the bolt was pulled out by only one thread pitch. In the deformation simulation, Groovy-Pin also was able to dent an insert inward successfully and show the deformation that takes place. The dented insert is used by Groov-Pin to increase prevailing torque by increasing contact between the threads of the bolt and internal threads of the insert. Groovy-Pin attempted to create a prevailing torque simulation by screwing in a bolt into the dented model but was not able to achieve acceptable results due to difficulty with modeling the complex interactions

Substituting facial movements in singers changes the sounds of musical intervals

Cross-modal integration is ubiquitous within perception and, in humans, the McGurk effect demonstrates that seeing a person articulating speech can change what we hear into a new auditory percept. It remains unclear whether cross-modal integration of sight and sound generalizes to other visible vocal articulations like those made by singers. We surmise that perceptual integrative effects should involve music deeply, since there is ample indeterminacy and variability in its auditory signals. We show that switching videos of sung musical intervals changes systematically the estimated distance between two notes of a musical interval so that pairing the video of a smaller sung interval to a relatively larger auditory led to compression effects on rated intervals, whereas the reverse led to a stretching effect. In addition, after seeing a visually switched video of an equally-tempered sung interval and then hearing the same interval played on the piano, the two intervals were judged often different though they differed only in instrument. These findings reveal spontaneous, cross-modal, integration of vocal sounds and clearly indicate that strong integration of sound and sight can occur beyond the articulations of natural speech

A Microcystic Adnexal Carcinoma in the Auditory Canal 15 Years after Radiotherapy of a 12-Year-Old Boy with Nasopharynx Carcinoma

Background: : Radiogenic malignancies require cure of the primary disease and a prolonged survival. The introduction of high-volt technology in the 1950s and 1960s made radical radiotherapy feasible and successful in terms of higher cure rates and longer survival. We are already in a time when a higher number of patients with radiogenic secondary malignancies must be expected. Case Report: : A 12-year-old boy is reported who suffered from an advanced nasopharynx carcinoma and was treated with radical irradiation in 1983. 15 years later he developed a rare microcystic adnexal carcinoma of the auditory canal inside the volume of the target dose. The secondary malignant neoplasm was resected and required another radiation treatment (1 Gy b.i.d.) due to involved margins. Discussion and Literature Review: : The entity of microcystic carcinoma is discussed with a review of the literature on biology, diagnosis, and treatmen

Bernard Collette-Dučić et Sylvain Delcomminette (éd.), Unité et origine des vertus dans la philosophie ancienne

Ce volume propose de retracer l’histoire des questions relatives à la théorie de l’unité et de l’origine des vertus dans la philosophie ancienne. Réunissant, pour la plupart, les contributions présentées lors d’un colloque organisé à l’Université libre de Bruxelles par le Groupe de philosophie ancienne du Centre de Philosophie, les 24 et 25 mars 2011, l’ouvrage, par l’ampleur de la période qu’il couvre, constitue une entreprise jusque-là inédite. Il propose une lecture qui ne prétend pas à l’..

Development of A Precision Rapid Metal Forming Process 362

This paper presents the important issues pertaining to the development of a precision rapid metal forming process. A five-axis configuration provides a flexible building capability to produce free-form fabrication capability. The laser cladding process is able to produce functional mechanical parts and machining capability is able to produce industrial grade surface quality. A machine configuration that combines the laser cladding and CNC machining processes is presented. The related parameters and components are discussed.This research was supported by the National Science Foundation Grant Number DMI-9871185, Missouri Research Board, and a grant from the Missouri Department of Economic Development through the MRTC grant.Mechanical Engineerin

Assessment of the error budget for stratospheric ozone profiles retrieved from OMPS limb scatter measurements

This study presents an error budget assessment for the ozone profiles retrieved at the University of Bremen through limb observations of the Ozone Mapper and Profiler Suite – Limb Profiler Suomi National Polar-orbiting Partnership (OMPS-LP SNPP) satellite instrument. The error characteristics are presented in a form that aims at being compliant with the recommendations and the standardizing effort of the Towards Unified Error Reporting (TUNER) project. Besides the retrieval noise, contributions from retrieval parameters are extensively discussed and quantified by using synthetic retrievals performed with the SCIATRAN radiative transfer model. For this investigation, a representative set of OMPS-LP measurements is selected to provide a reliable estimation of the uncertainties as a function of latitude and season. Errors originating from model approximations and spectroscopic data are also taken into account and found to be non-negligible. The choice of the ozone cross section is found to be relevant, as expected. Overall, we classify the estimated errors as random or systematic and investigate correlations between errors from different sources. After summing up the relevant error components, we present an estimate of the total random uncertainty on the retrieved ozone profiles, which is found to be in the 5 %–30 % range in the lower stratosphere, 3 %–5 % in the middle stratosphere, and 5 %–7 % at upper altitudes. The systematic uncertainty is mainly due to cloud contamination and model errors in the lower stratosphere and due to the retrieval bias at higher altitudes. The corresponding total bias exceeds 5 % only above 50 km and below 20 km. After computing the estimate of the overall random and systematic error components, we also provide an ex-post assessment of the uncertainties using self-collocated OMPS-LP observations and collocated Microwave Limb Sounder (MLS) data in a χ2 fashion