2,528 research outputs found
Mechanism and kinetics of aging in Inconel 718
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
A classical result of Khinchin says that for almost all real numbers
, the geometric mean of the first digits in the
continued fraction expansion of converges to a number (Khinchin's constant) as . On the other hand,
for almost all , the arithmetic mean of the first continued
fraction digits approaches infinity as . There is a
sequence of refinements of the AM-GM inequality, Maclaurin's inequalities,
relating the -th powers of the -th elementary symmetric means of
numbers for . On the left end (when ) we have the
geometric mean, and on the right end () 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 steps away from either
extreme. We prove sufficient conditions on to ensure to ensure
divergence when one moves steps away from the arithmetic mean and
convergence when one moves steps away from the geometric mean. For
typical we conjecture the behavior for , .
We also study the limiting behavior of such means for quadratic irrational
, 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
Retrieval Guide: Kentucky Soils Data System
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
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 Childrenās 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 āliking of exerciseā (r = .61) and the highest correlation for females was āliking 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
It is well known that aligned, aspherical dust grains emit polarized radiation and that the degree of polarization depends on the angle Ļ 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 Ļ, 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
Background: Primary upper urinary tract small cell carcinoma (SCC) is exceedingly rare with \u3cā30 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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