Tight frames of k-plane ridgelets and the problem of representing objects that are smooth away from d-dimensional singularities in Rn

For each pair (n, k) with 1 ≤ k < n, we construct a tight frame (ρλ : λ ∈ Λ) for L2 (Rn), which we call a frame of k-plane ridgelets. The intent is to efficiently represent functions that are smooth away from singularities along k-planes in Rn. We also develop tools to help decide whether k-plane ridgelets provide the desired efficient representation. We first construct a wavelet-like tight frame on the X-ray bundle χn,k—the fiber bundle having the Grassman manifold Gn,k of k-planes in Rn for base space, and for fibers the orthocomplements of those planes. This wavelet-like tight frame is the pushout to χn,k, via the smooth local coordinates of Gn,k, of an orthonormal basis of tensor Meyer wavelets on Euclidean space Rk(n−k) × Rn−k. We then use the X-ray isometry [Solmon, D. C. (1976) J. Math. Anal. Appl. 56, 61–83] to map this tight frame isometrically to a tight frame for L2(Rn)—the k-plane ridgelets. This construction makes analysis of a function f ∈ L2(Rn) by k-plane ridgelets identical to the analysis of the k-plane X-ray transform of f by an appropriate wavelet-like system for χn,k. As wavelets are typically effective at representing point singularities, it may be expected that these new systems will be effective at representing objects whose k-plane X-ray transform has a point singularity. Objects with discontinuities across hyperplanes are of this form, for k = n − 1.

Geologia econômica da região de Currais Novos - RN

O presente trabalho descreve a geologia econômica da região de Currais Novos, no Rio Grande do Norte, onde estão as principais jazidas de scheelita e de molibdenita do Brasil: jazidas Brejuí e Barra Verde. As rochas metamórficas da área pertencem à Série Ceará e são constituídas por gnaisses, calcários e tactitos. O autor evidenciou a existência de duas fases metamórficas no desenvolvimento dessas rochas. A primeira, datada de 750 \'+ OU -\' 50 M.A. possibilitou o desenvolvimento das texturas e dos minerais essenciais dos gnaisses e calcários e a formação dos tactitos compostos essencialmente de epidoto, diopsídio, granada, quartzo, calcita e vesuvianita. Ainda nessa fase ocorreu o empurrão das rochas da área oeste sôbre o gnaisse da Formação Seridó, ocasionando inversões de camadas nas áreas de Brejuí, Barra Verde, Quixabeiral, etc. Na segunda fase, com 550 \'+ OU -\' M.A. de idade, ocorreu microclinização dos gnaisses biotíticos das formações Parelhas e Quixaba e a mineralização dos tactitos, devido ao aporte de tungstênio, molibdênio, flúor, cobre, etc., provenientes do granito de Acari. Na etapa final dessa fase houve a intrusão do granodiorito Acauã. As rochas \"magmáticas da região estão representadas por: a) um grande batólito granítico heterogêneo - o maciço Acari -, constituído por quatro fácies petrográficas: um granodiorito pórfiro, um granito monzonítico, um diorito e pequenos corpos granodioriticos. b) um pequeno stock granodiorítico homogêneo e intrusivo - o. granodiorito Acauã. c) Diques de basaltos, aplitos e pegmatites. O minério da região é o tácito, que apresenta nítidos contrôles estratigráficos e estruturais, os quais servem de guias para a prospecção. Têm as jazidas Brejuí e Barra Verde um teor médio da ordem de 0,6% em \'W IND. O 3\' e 0,2% em Mo e uma espessura média de 2m. Nas outras ocorrências sua possança média é inferior a 1 m e o teor médio inferior a 0,5% em \'W IND. O 3\'. Sendo mantida a atual produção da região, cerca de 650 t métricas/ano de concentrados com 75% de \'W IND. O 3\', só as reservas conhecidas nas jazidas Brejuí e Barra Verde serão suficientes para abastecer o mercado por mais 20 anos

[ Farmān:jañgbārnā:bījī:mûsāfarinā:tathā:faramān:nāîrobī:mûṁbāsā:pûnā:gûādhar:malīgām(5)nā

Farmāns made by Aga Khan III between February and December 1905 in Zanzibar, Nairobi, Mombasa, Poona and Gwader.

Einfluss von Polymorphismen im IL 1B-Gen und IL 1 RN-Gen, sowie der assoziierten Haplotypen auf die Entwicklung von Magenkarzinomen und deren prämalignen Konditionen

Universität Magdeburg, Dissertation, 2016

Rön, om fiske-plantering i insjöar : ingifwit til Kongl. wetensk. academien år 1761 /

Goldsmiths'-Kress no. 10293.5-1, suppl.

Characteristics of effective clinical and theory instructors as perceived by LPN to RN versus generic students in an associate degree nursing program

The purpose of this study was to compare the characteristics of effective clinical and theory instructors as perceived by LPN/RN versus generic students in an associate degree nursing program.^ Data were collected from 508 students during the 1996-7 academic year from three NLN accredited associate degree nursing programs. The researcher developed instrument consisted of three parts: (a) Whitehead Characteristics of Effective Clinical Instructor Rating Scale, (b) Whitehead Characteristics of Effective Theory Instructor Rating Scale, and (c) Demographic Data Sheet. The items were listed under five major categories identified in the review of the literature: (a) interpersonal relationships, (b) personality traits, (c) teaching practices, (d) knowledge and experience, and (e) evaluation procedures. The instrument was administered to LPN/RN students in their first semester and to generic students in the third semester of an associate degree nursing program.^ Data was analyzed using a one factor mutivariate analysis of variance (MANOVA). Further t tests were carried out to explore for possible differences between type of student and by group. Crosstabulations of the demographic data were analyzed.^ There were no significant differences found between the LPN/RN versus generic students on their perceptions of either effective theory or effective clinical instructor characteristics. There were significant differences between groups on several of the individual items. There was no significant interaction between group and ethnicity or group and age on the five major categories for either of the two instruments. There was a significant main effect of ethnicity on several of the individual items.^ The differences between the means and standard deviations on both instruments were small, suggesting that all of the characteristics listed for effective theory and clinical instructors were important to both groups of students. Effective teaching behaviors, as indicated on the survey instruments, should be taught to students in graduate teacher education programs. These behaviors should also be discussed by faculty coordinators supervising adjunct faculty. Nursing educators in associate degree nursing programs should understand theories of adult learning and implement instructional strategies to enhance minority student success. ^

The relationship of aptitude, course grades, and program length, to performance on a standards based test (NCLEX -RN)

The purpose of this study was threefold: first, to investigate variables associated with learning, and performance as measured by the National Council Licensure Examination for Registered Nurses (NCLEX-RN). The second purpose was to validate the predictive value of the Assessment Technologies Institute (ATI) achievement exit exam, and lastly, to provide a model that could be used to predict performance on the NCLEX-RN, with implications for admission and curriculum development. The study was based on school learning theory, which implies that acquisition in school learning is a function of aptitude (pre-admission measures), opportunity to learn, and quality of instruction (program measures). Data utilized were from 298 graduates of an associate degree nursing program in the Southeastern United States. Of the 298 graduates, 142 were Hispanic, 87 were Black, non-Hispanic, 54 White, non-Hispanic, and 15 reported as Others. The graduates took the NCLEX-RN for the first time during the years 2003–2005. This study was a predictive, correlational design that relied upon retrospective data. Point biserial correlations, and chi-square analyses were used to investigate relationships between 19 selected predictor variables and the dichotomous criterion variable, NCLEX-RN. The correlation and chi square findings indicated that men did better on the NCLEX-RN than women; Blacks had the highest failure rates, followed by Hispanics; older students were more likely to pass the exam than younger students; and students who passed the exam started and completed the nursing program with a higher grade point average, than those who failed the exam. Using logistic regression, five statistical models that used variables associated with learning and student performance on the NCLEX-RN were tested with a model adapted from Bloom's (1976) and Carroll's (1963) school learning theories. The derived model included: NCLEX-RNsuccess = f (Nurse Entrance Test and advanced medical-surgical nursing course grade achieved). The model demonstrates that student performance on the NCLEX-RN can be predicted by one pre-admission measure, and a program measure. The Assessment Technologies Institute achievement exit exam (an outcome measure) had no predictive value for student performance on the NCLEX-RN. The model developed accurately predicted 94% of the student's successful performance on the NCLEX-RN.

Estudo sobre tratamento térmico e mudança superficial da diatomita de Punaú/RN para o desenvolvimento de um auxiliar de filtração

The diatomite is a natural material that has numerous applications due to changes in their physical and chemical properties after processing. It is currently used in the industry as a sound insulator , filter aid and industrial load . The filter material shall be inert chemical composition , which will diatomite confers a high commercial value and performance not found in other particulate materials , for this application. The diatomite surface undergoes changes after thermal treatment at high temperatures , from 800ºC , with properties that enable its application in the food , beverage , pharmaceutical , cosmetic and textiles . In this work , we developed a study on thermal treatment on natural diatomite to adapt their properties to the application as a filter aid . The heat treatments were performed in an open oven at temperatures of 800ºC , 1000ºC and 1200ºC for a time of 24 hours. Reagents were added in the constitution of the samples analyzed. The reagents used were sodium carbonate (Na2CO3 ) and sodium chloride (NaCl) . The samples were characterized by x - ray diffraction , x -ray fluorescence , scanning electron microscopy , analysis and particle size distribution , specific surface area by the BET method , and pore volume by BJH method. The results showed a reduction in porosity of the material as well as a significant increase in specific surface area after heat treatment and the reactants in the ratio of 3 wt%. The diatomaceous earth , after heat treatment , undergone changes in its coloration , varying in white, cream and beige , which directly interferes with the speed of filtration materials process. All results obtained before and after heat treatment of the material with the values obtained for samples already used industrially , Brazilian and American industry , which were characterized using the same test methods performed with the samples in the study were compared and showed promising efficiency when material studied in the region of Punaú - RN , after processing , reagent addition and heat treatment, as an element in the composition of filter .