Some new results in quantitative Diophantine approximation

In this article we establish two new results on quantitative Diophantine approximation for one-parameter families of diagonal ternary indefinite forms. In the first result, we consider quadratic forms taking values at prime points. In the second, we examine inhomogeneous forms of arbitrary degree taking values at integer points.Comment: Change in title, section 4 expanded and other minor edits. 24 Pages; accepted for publication in IMR

Multicentric tuberculosis at two rare sites in an immunocompetent adult

The case of a 20-year-old female who presented with refractory coccydynia and sternal pain is described. She was immunocompetent, and had no systemic features. She was diagnosed with tuberculosis of the sternal and coccygeal regions based on magnetic resonance imaging and histopathology of biopsy specimens. Conservative management with oral multidrug antituberculous therapy completely cured the patient, and she had not suffered any recurrence after three years of follow-up. This case highlights the possibility of the multicentric presentation of tuberculosis at two rare sites in the same immunocompetent patient, even though the differential diagnosis was coccydynia

Implementation of Value Engineering In Rooftop Extractor

This paper presents the basics of Value Engineering and its different phases that can be implemented to a product for its optimization. Value Engineering can improve the product cost by reducing the unnecessary costs associated with the product. Efforts have been put into the articulation of the paper to make it coherent which can be easily perceivable. A case study has been discussed in this paper involving roof exhausters which are used for circulation of air in most of the industries. The material is chosen such that the cost is reduced without affecting the quality of the product. Through the application of Value Engineering profits are maximized without hindering the reliability of the product. With the effective utilization of the technique the final outcomes comes out to be a successful showcase of value engineering

Bicentric bipolar hip prosthesis: A radiological study of movement at the interprosthetic joint

Background: The bipolar hip prostheses after some time functions as a unipolar device. There is a need to change the design of bipolar hip prostheses to make it function as a bipolar device over a prolonged period of time. A bicentric bipolar hip prosthesis was used as an implant for various conditions of the hip. We evaluated the movement of this newly developed prosthesis at the interprosthetic joint radiologically at periodic intervals. Materials and Methods: Fifty two cases were operarted with the Bicentric bipolar prosthesis for indications like fracture neck of femur and various other diseases of the hip and were followed up with serial radiographs at periodic intervals to evaluate, what fraction of the total abduction at the hip was occurring at the interprosthetic joint. Results: In cases of intracapsular fracture neck of femur, the percentage of total abduction occurring at the interprosthetic joint at 3 months follow-up was 33.74% (mean value of all the patients), which fell to 25.66% at 1.5 years. In indications for bipolar hemireplacement other than fracture neck of femur, the percentage of total abduction occurring at the interprosthetic joint at 3 months follow-up was 71.71% (mean value) and at 1.5 years it was 67.52%. Conclusion: This study shows the relative preservation of inner bearing movement in the bipolar hip prosthesis with time probably due its refined design. Further refinements are needed to make the prosthesis work better in patients of intracapsular fracture neck femur

Role of tricalcium phosphate implant in bridging the large osteoperiosteal gaps in rabbits

375-380Treatment options for large osteoperiosteal defects are limited and that which are available are not ideal. Osteoperiosteal defect were created in ulnae of both forelimbs of rabbits and tricalcium phosphate implant was used to bridge the gap. Amongst the 35 implanted ulnae, one implant got dislodged. Rest of the implants showed good adherence to host bone until the final follow up. Five control rabbit limbs (in which no implants were put) showed persistent bone gap. Histological and Electron microscopic examination revealed bone tissues covering the surface of the implant and bridging the gap. New bone was formed in the pores also. Tricalcium phosphate implants showed new bone formation due to osteoconductive properties. They are biodegradable. It is suggested that tricalcium phosphate implants are viable treatment alternatives in management of large osteoperiosteal defects with minimal to no adverse effects