On The Transformation Of The Generalized Euler\u27s Differential Equation Of Order-N

This thesis deals with the transformation and solution of the generalized Euler Differential Equation of Order - n. This problem was suggested and supervised by Dr. A. D. Stewart, Head of the Department of Mathematics, Prairie View A & M College, Prairie View, Texas. The writer is greatly indebted to Dr. Stewart, who is an authority on differential equations, for his directions and suggestions during the preparation of this thesis. The problem is first to take an nth-order differential equation with linear coefficients and transform it into an nth-order differential equation with constant coefficients. Secondly, to find a solution to the differential equation with constant coefficients and finally to transform it back to the solution of the original equation. In Chapter two, we shall show solutions to two Euler\u27s differential equations of order-two. The first differential equation will have a linear coefficient of one term and the second differential equation will have a linear expression consisting of two terms as a coefficient. Associated with these two differential equations which are non-homogeneous in nature will be two homogeneous differential equations and their solutions. Chapter three and four will deal with solutions of an nth-order Euler Differential Equation having the same properties as the second-order differential equation. Associated with these two nth-order Euler Differential Equations will be corresponding solution of homogeneous type nth order differential equations

“You Got To Know Us”: A Hopeful Model for Music Education in Urban Schools

Urban schools, and the students and teachers within, are often characterized by a metanarrative of deficit and crisis, causing the complex realities of urban education to remain unclear behind a wall of assumptions and stereotypes. Within music education, urban schools have received limited but increasing attention from researchers. However, voices from practitioners are often missing from this dialogue, and the extant scholarly dialogue has had a very limited effect on music teacher education. In this article, five music educators with a combined thirty years of experience in urban schools examine aspects of their experiences in the light of critical pedagogy in an attempt to disrupt the metanarrative of deficit, crisis, and decline that continues to surround urban music education. By promoting the lived-stories of successful urban music students, teachers, and programs, the authors hope to situate urban music education as a site of renewal, reform, and meaningful learning. This paper emerged from a panel discussion regarding promising practices in secondary general music with urban youth that took place at the New Directions in Music Education conference held at Michigan State University in October of 2011

C. elegans HAM-1 positions the cleavage plane and regulates apoptosis in asymmetric neuroblast divisions

AbstractAsymmetric cell division occurs when a mother cell divides to generate two distinct daughter cells, a process that promotes the generation of cellular diversity in metazoans. During Caenorhabditis elegans development, the asymmetric divisions of neural progenitors generate neurons, neural support cells and apoptotic cells. C. elegans HAM-1 is an asymmetrically distributed cortical protein that regulates several of these asymmetric neuroblast divisions. Here, we show that HAM-1 is a novel protein and define residues important for HAM-1 function and distribution to the cell cortex. Our phenotypic analysis of ham-1 mutant embryos suggests that HAM-1 controls only neuroblast divisions that produce apoptotic cells. Moreover, ham-1 mutant embryos contain many unusually large cell-death corpses. An investigation of this corpse phenotype revealed that it results from a reversal of neuroblast polarity. A misplacement of the neuroblast cleavage plane generates daughter cells of abnormal size, with the apoptotic daughters larger than normal. Thus, HAM-1 regulates the position of the cleavage plane, apoptosis and mitotic potential in C. elegans asymmetric cell divisions

Modeling early haematologic adverse events in conformal and intensity-modulated pelvic radiotherapy in anal cancer

AbstractBackground and purposeTo determine if there are differences between dose to pelvic bone marrow (PBM) using intensity modulated radiotherapy (IMRT) under UK guidance versus conformal radiotherapy (CRT) per ACT II protocol and if differences translate to rates of early haematological adverse events grade 3 or greater (HT3+).Methods and materialsTwo groups of 20+ patients, treated under IMRT and CRT regimes respectively, were identified. All patients underwent weekly blood cell count: haemoglobin (HgB), white cell count (WCC), absolute neutrophil count (ANC) and platelets (plats).Percent volume of PBM and sub structures receiving 5–25Gy were tested for statistical significance. Regression models were used to test for correlation to blood counts. NTCP modeling was also performed.ResultsPMB dose metrics showed a significant increase in the IMRT group. Regression analysis showed iliac and lumbosacral PBM dose metrics to associate with reduced nadir ANC and WCC. NTCP at HT3+ was 0.13 using IMRT relative to 0.07 using CRT (p<0.05).ConclusionWhilst this is a relatively small retrospective study and lacks information on the distribution of active PBM, IMRT treatment has been shown to significantly increase PMB irradiation. PBM dose metrics have been shown to be predictive of WCC and ANC suppression. NTCP modeling predicts much high risk of HT3+. Paradoxically, actual rates of HT3+ were comparable suggesting that differences in the distributions of dose metrics maybe a significant factor and/or that there are insufficiency in the NTCP modeling

Influences on the Illusory Truth Effect in Consumer Judgment

The Illusory Truth Effect: Exploring Implicit and Explicit Memory Influences on Consumer JudgmentsMaria L. CronleyMiami UniversityFrank R. KardesUniversity of CincinnatiScott A. HawkinsUniversity of TorontoRepetition does not seem like a sound basis for determining truth, but researchers have consistently found that people rate repeated statements as more true than non-repeated statements. This effect is known as the illusory truth effect and appears to be quite persistent. Following on previous work in memory and judgment, additional moderators of attention, exclusion, and subliminal exposure are investigated in two experiments to assess their effects on repetition-induced beliefs of validity for product claims. Results provide new insights into the processes of incidental learning and implicit memory use by which consumers form judgments based on repetitive persuasive messages