“…He gives a useful review of probability, making the book self-contained, and provides an appendix with detailed proofs of all the prerequisites from calculus, algebra, and number theory. A number of carefully chosen problems of varying difficulty are proposed at the close of each chapter, and the mathematics is slowly and carefully developed, in order to make self-study easier. …”
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“…They also allow us to use methods from calculus and analysis to obtain results in algebra and number theory. …”
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“…--Rafe Mazzeo, Stanford University This text provides an excellent semester's introduction to classical and modern topics in linear PDE, suitable for students with a background in advanced calculus and Lebesgue integration. The author intersperses treatments of the Laplace, heat, and wave equations with developments of various functional analytic tools, particularly distribution theory and spectral theory, introducing key concepts while deftly avoiding heavy technicalities. …”
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“…We present a general method (DGE) to calculate a large class of logarithmically enhanced terms, using the dispersive approach in renormalon calculus. Dressed Gluon Exponentiation is based on the fact that the exponentiation kernel is associated primarily with a single gluon emission, and therefore the exponent is naturally represented as an integral over the running coupling. …”
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“…Xanthogranulomatous pyelonephritis (XGPN) is a form of chronic pyelonephritis caused by chronic calculus obstruction and bacterial infection, leading to the destruction of the renal parenchyma and calyces. …”
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“…Consequently, the membership function assignment rules are different: fuzzy relational calculus and the horizon shifting model derived from the Alternative Set Theory are used to handle weakening and reinforcement hedges, respectively. …”
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“…Gallstone ileus is an uncommon complication of calculus cholecystitis through the formation of a biliary enteric fistula. …”
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“…In fact, given a variational problem, GBM establishes the corresponding Euler equations by means of a systematic procedure, which is easy to recall, based in both elementary calculus and algebra without having to memorize the known formulas. …”
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“…The kernels of the fractional integral and the fractional derivative in this paper are Sonine kernels and satisfy the first and the second fundamental theorems in calculus. The presence of delays and GRLFD in the model require a special type of initial condition. …”
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“…Dental calculus samples are modeled as a mixture of DNA coming from dental plaque and contaminants. …”
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“…Predicting transformation products for (benchmarking) compounds from conditions, facilitates risk analyses. This study applied calculus to predict transformation products of an important environmental and medicinal/toxicological marker, carbamazepine. …”
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“…Immediate complications included incontinence due to distal displacement in 2 patients and hematuria in one patient; long-term complications included mild encrustation of the IUC in 2 patients and calculus formation on the IUC in 1 patient. None of the patients had clinically significant urinary tract infection. …”
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“…However, in Korea suture materials have rarely been found to act as a nidus for common bile duct calculus formation. Recently, we experienced a case in which suture material, that had migrated from a previous cholecystectomy site into the CBD, probably served as a nidus for common bile duct stone formation. …”
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“…This difficult integration problem can be finessed by optimising a free-energy bound on the evidence using results from variational calculus. This yields a deterministic update scheme that optimises an approximation to the posterior density on the unknown model variables. …”
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“…Moreover, a crude utilitarian calculus can help scientists make moral decisions about which technologies to pursue and disseminate when catastrophes may result. …”
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“…An initial diagnosis of left ureteral calculus was made. Subsequently abdominal-pelvic computed tomography was required for diagnosis because of the appearance of severe contralateral pain. …”
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“…INTRODUCTION: We present our experience of comparison of endoscopic treatment of vesical calculus in bladder stone. MATERIALS AND METHODS: This study included 67 patients of bladder stone treated in this hospital from between June 2006 to December 2009 who were randomly assigned in three groups—group 1 (transurethral removal using a nephroscope), group 2 (transurethral removal using a cystoscope), and group 3 (percutaneous removal using a nephroscope). …”
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“…To date, there have been some reports of intravesical migration of these clips causing urethral erosion, bladder neck contractures, and subsequent calculus formation. We report the first case of bladder migration of Hem-o-Lok clips without stone formation after robot-assisted laparoscopic radical prostatectomy. …”
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“…Six patients (55%) had a renal pelvis or upper ureteric calculus causing obstruction. Three patients (27%) had focal fat deposits identifiable within the inflamed renal parenchyma. …”
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“…We test a ‘brute-force’ effectiveness of neuroscience plausible techniques specifically tailored for the examination of temporal characteristics, such duty cycle of bursting, interspike interval, spike number deviation in the phenomenological Hindmarsh-Rose model of a bursting neuron and compare the results obtained by calculus-based tools for evaluations of an entire spectrum of Lyapunov exponents broadly employed in studies of nonlinear systems. …”
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