Calculus By Kc Sinha

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Background: A severe degree of ureteral obstruction is viewed as a predictor of poor outcome in shockwave lithotripsy (SWL). Impacted stones are often considered a contraindication to in-situ SWL.

Patients and methods: Impaction in our study was defined as failure to visualize the ureter distal to the calculus with proximal hold-up of contrast for as long as 3 hours on an intravenous urogram (IVU). We evaluated 30 patients with impacted ureteral calculi, who were compared with a second unimpacted group matched for stone size and stone location. The calculi were reorganized into < or =10-mm and >10-mm groups. The results were compared in terms of clearance rates, number of shockwaves, number of sessions, and number of days between the start of SWL and clearance.

Results: Between January 1998 and December 2001, 30 impacted stones were treated with lithotripsy. Complete clearance rates in the impacted as well as the non-impacted group were 76.7%. There was no statistical difference in the number of shockwaves, sessions, or time to clearance. The results were poorer in lower-ureteral than upper-ureteral calculi, but this difference did not reach statistical significance. However, the differences between the < or =10-mm and >10-mm stones were statistically significant.

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Kalyan Bidhan Sinha (K.B. Sinha) (born 3 June 1944) is an Indian mathematician. He is a professor at the Jawaharlal Nehru Centre for Advanced Scientific Research,[1] and Professor Emeritus for life of the Indian Statistical Institute.

Sinha is the author of numerous scientific works[2] in scattering theory, spectral theory of Schrdinger operators, quantum stochastic calculus, noncommutative geometry, and, more broadly, in mathematical physics.

Kalyan Bidhan Sinha graduated from Hindu School, Calcutta in 1960. He studied Physics at Presidency College, Calcutta, obtaining his Bachelor's degree from the University of Calcutta in 1963, and then studied at the University of Delhi where he was awarded a Master's degree in 1965. He obtained his Ph.D. in Physics from the University of Rochester in 1969.[3]

Sinha was a post-doctoral research associate at the University of Geneva. During this time he co-authored, with Werner Amrein and Josef-Maria Jauch, a well-known book[4] on scattering theory, which used mathematically rigorous methods to develop the subject.

Sinha served on the faculty of the Indian Statistical Institute from 1978 to 2005, serving as Director of the institute from 2000 to 2005. He has held numerous visiting faculty positions, at RIMS (Kyoto University),[5] University of Texas, Austin, University of Geneva, among many other institutions. He was Ulam Visiting Chair Professor at the University of Colorado, Boulder in 1980. He is currently Honorary Professor, Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore. He is also Distinguished Associate of Institute Mathematics Initiative, Indian Institute of Science, and Professor Emeritus, Indian Statistical Institute.

Sinha is President of the Association for Quantum Probability and Infinite Dimensional Analysis[6] (since 2013). He has served on numerous editorial boards, including those of Infinite Dimensional Analysis, Quantum Probability, and Related Topics,[7] Reviews in Mathematical Physics, and the Journal of Stochastic Analysis.[8]

In 2019 Sinha was awarded the Srinivasa Ramanujan Medal of the Indian National Science Academy.[9] He received the Shanti Swarup Bhatnagar Prize for Science and Technology, the highest science award in India, in the mathematical sciences category in 1988.[10] In 2004 Sinha was awarded the P.C. Mahalanobis Medal by the Indian Science Congress.[11]Sinha was elected Fellow of the TWAS[12] in 2002. He was named Professor Emeritus for Life of the Indian Statistical Institute in 2012.

Keywords: calculus of functors , configuration spaces , cosimplicial spaces , embedding calculus , evaluation maps , finite-type knot invariants , mapping space models , spectral sequences , stacking long knots , Taylor tower for the space of knots

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