2,528 research outputs found

    Mechanism and kinetics of aging in Inconel 718

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    Age hardening in Inconel 718 is investigated using Brinell hardness measurements. Formation of a precipitate causes an increase in hardness

    Continued fraction digit averages an Maclaurin's inequalities

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    A classical result of Khinchin says that for almost all real numbers Ī±\alpha, the geometric mean of the first nn digits ai(Ī±)a_i(\alpha) in the continued fraction expansion of Ī±\alpha converges to a number K=2.6854520ā€¦K = 2.6854520\ldots (Khinchin's constant) as nā†’āˆžn \to \infty. On the other hand, for almost all Ī±\alpha, the arithmetic mean of the first nn continued fraction digits ai(Ī±)a_i(\alpha) approaches infinity as nā†’āˆžn \to \infty. There is a sequence of refinements of the AM-GM inequality, Maclaurin's inequalities, relating the 1/k1/k-th powers of the kk-th elementary symmetric means of nn numbers for 1ā‰¤kā‰¤n1 \leq k \leq n. On the left end (when k=nk=n) we have the geometric mean, and on the right end (k=1k=1) we have the arithmetic mean. We analyze what happens to the means of continued fraction digits of a typical real number in the limit as one moves f(n)f(n) steps away from either extreme. We prove sufficient conditions on f(n)f(n) to ensure to ensure divergence when one moves f(n)f(n) steps away from the arithmetic mean and convergence when one moves f(n)f(n) steps away from the geometric mean. For typical Ī±\alpha we conjecture the behavior for f(n)=cnf(n)=cn, 0<c<10<c<1. We also study the limiting behavior of such means for quadratic irrational Ī±\alpha, providing rigorous results, as well as numerically supported conjectures.Comment: 32 pages, 7 figures. Substantial additions were made to previous version, including Theorem 1.3, Section 6, and Appendix

    TOPICS - The Traffic Engineer\u27s Latest Tool

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    Nuclear Spindles Pave the Way to Metastasis

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    Retrieval Guide: Kentucky Soils Data System

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    The Kentucky Soils Data System is an extensive data file of the physical properties and characteristics of soils as determined by field and laboratory testing. Site locations are available for most samples. Since Kentucky has been mapped geologically (scale 1:24,000), the bedrock at each of these sample locations can be determined, providing better opportunities for studying soil-bedrock (parent material) relationships. A complimentary report covers data input. This report is divided into two sections: data availability and data retrieval. The first section is designed to show the quantity and types of data available and how the data are distributed geographically. The second section consists of example problems showing how the data may be retrieved in the form of various lists or tables

    Psychosocial Correlates of Physical Activity in Children and Adolescents in a Rural Community Setting

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    The purpose of this study was to evaluate the relationships between selected psychosocial factors and the physical activity behaviors of children (grade 4-8) and adolescents (grades 9-12) in a rural community setting. The Childrenā€™s Physical Activity Scale (CPAC)was used to measure the psychosocial factors of physical activity, The Physical Activity Questionnaire-Children (PAQ-C), and Physical Activity Questionnaire-Adolescents (PAQ-A) were used to measure the physical activity behaviors of the 167 participants. Results indicated that male and female physical activity behaviors were not significantly different. However, physical activity declined with age [F(8,147) = 5.44, p \u3c 0.05, ES = 0.23]. All psychosocial factors were significantly correlated with physical activity in youth with the single highest correlation for males being ā€œliking of exerciseā€ (r = .61) and the highest correlation for females was ā€œliking of games and sportsā€(r = .44). Stepwise regression analyses identified three subscales (liking of games and sport, liking of exercise, and parental support) in a significant prediction model of physical activity in both genders. The results indicate that children\u27s physical activity is associated with a variety of psychosocial variables that represent import predisposing and reinforcing factors

    An Imprint of the Galactic Magnetic Field in the Diffuse Unpolarized Dust Emission

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    It is well known that aligned, aspherical dust grains emit polarized radiation and that the degree of polarization depends on the angle Ļˆ between the interstellar magnetic field and the line of sight (LOS). However, anisotropy of the dust absorption cross sections also modulates the total intensity of the radiation as the viewing geometry changes. We report a detection of this effect in the high Galactic latitude Planck data, finding that the 353 GHz dust intensity per N_(H I) is smaller when the Galactic magnetic field is mostly in the plane of the sky and larger when the field is mostly along the LOS. These variations are of opposite sign and roughly equal magnitude as the changes in polarized intensity per N_(H I) with Ļˆ, as predicted. In principle, the variation in intensity can be used in conjunction with the dust polarization angle to constrain the full 3D orientation of the Galactic magnetic field

    Primary Upper Urinary Tract Small Cell Carcinoma: A Case Series and Literature Review

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    Background: Primary upper urinary tract small cell carcinoma (SCC) is exceedingly rare with \u3cā€‰30 cases reported in the literature. Little is known about the incidence, diagnosis, treatment, and outcomes in these patients. We present a series of three patients with primary upper tract SCC. Case Presentation: Patient 1 is an 89-year-old Caucasian male who presented with hydroureteronephrosis and a mass in the proximal right ureter. Biopsy revealed SCC. Without further intervention, the patient died 2 months after his diagnosis. Patient 2 is a 67-year-old Caucasian female who underwent left laparoscopic nephroureterectomy for primary distal ureteral SCC, pT4N1M0. She developed lymphadenopathy and completed external beam radiation to the pelvis and four courses of cisplatin-based chemotherapy. She died from metastatic disease 7 months after diagnosis. Patient 3 is a 45-year-old female who underwent open right radical nephrectomy, retroperitoneal lymph node dissection, and hepatic metastasectomy for metastatic primary upper tract SCC, pT3N1M1. She underwent two subsequent retroperitoneal debulking procedures for recurrence followed by treatment with octreotide. She developed widespread metastasis and was treated with temozolomide and capecitabine before her death 80 months after diagnosis. Conclusion: This series contributes to the limited knowledge of the management and natural course of primary upper tract SCC. Patient 1 represents the first disease-specific mortality reported in a patient who received no therapy. Patient 3 represents the longest reported survival with metastatic disease, and the first treated with octreotide. The patient was managed with aggressive repeat surgical resection and exhibited 2 years of progression-free survival on octreotide. Emphasis should be placed on aggressive resection of all visible disease combined with the use of multimodal adjuvant chemoradiation for selected patients in this rare disease
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