“…The construction of projection operators, which commute with the exterior derivative and at the same time are bounded in the proper Sobolev spaces, represents a key tool in the recent stability analysis of finite element exterior calculus. These so-called bounded cochain projections have been constructed by combining a smoothing operator and the unbounded canonical projections defined by the degrees of freedom. …”
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“…Concomitant liver disease, such as viral hepatitis (A, B, C, D, E), autoimmune hepatitis, primary biliary cirrhosis and calculus of bile duct, were excluded. Liver enzyme levels in both patients returned to normal after stopping methimazole therapy and taking hepatoprotective drugs. …”
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“…They can be used for the treatment of digestive disease, jaundice, and renal calculus. This review discusses the ethnopharmacological, phytochemical, and pharmacological studies of Phyllanthus over the past few decades. …”
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“…Also, new theoretical results are provided, such as the calculus of limits and partial derivatives related to the critical solution, used to assess of the effectiveness of the algorithms herein proposed and discussed.…”
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“…A total body radiographic image and abdominal ultrasonography showed the presence of a vesical calculus. During cystotomy, a sterile urine sample was obtained and sent to the diagnostic laboratory along with the urolith for analysis. …”
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“…A twenty-eight-year-old female with a history of suprapubic pain and recurrent urinary tract infections presents for urology referral with a kidney, ureter, and bladder radiograph showing a 4.4 cm bladder calculus and 6.5 cm distal left ureteral stone. She underwent effective cystolitholapaxy of the bladder stone. …”
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“…Here, we show that cubic Raman crystals having doubly and triply degenerate (E and F type) modes provide a method for efficient nonlinear frequency downconversion of an unpolarized beam and yield a linearly polarized output state. Using Mueller calculus, optimal crystal directions for such polarization conversion are determined. …”
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“…ECSWL was attempted to fragment the stone; however, follow-up imaging showed persistence of the calculus. DISCUSSION: Literature review shows that ECSWL for multiple gallbladder stones has a low success rate. …”
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“…First, the differential equations that indicate the polarization evolution of the CSF element are derived, and the output error model is built based on the Jones matrix calculus. Then, an accurate search method is proposed to obtain the key parameters of the CSF, including the length of the cylindrical silica rod and the number of the curve spirals. …”
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“…In particular, combining Lyapunov functions dependent on complex-valued vectors and back-stepping technique, sufficient criteria on stabilization of CVCSs are derived in the sense of Wirtinger calculus in complex space. Finally, numerical simulation is presented to validate our theoretical results.…”
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“…Ruspini’s work, the Logic of Approximate Entailment ([Formula: see text] ) is based on a graded version of the classical entailment relation. We present a proof calculus for [Formula: see text] and show its completeness with regard to finite theories.…”
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“…However, the opening of a duplicated bile duct lacks a sphincter allowing retrograde flow of gut contents which results in a higher probability of intraductal calculus formation. On rare occasions, it can predispose to liver abscesses, pancreatitis, pancreatic cancer, gallbladder cancer, gastric cancer, and ampullary cancer depending on the location of the opening of the ACBD. …”
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“…Previous work in this area has not generally preserved program semantics and this article describes an alternative to the traditional mutation operators used, employing deterministic proof search in the sequent calculus to yield semantics-preserving transformations on algebraic data types. …”
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“…We use formal verification tool ProVerif, which is based on pi calculus, to prove security and authentication of our scheme. …”
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“…Common intra-operative manifestations were bleeding, obstruction or stenosis, mucosal lesions and calculus. RESULTS: Endoscopic presentation of the ejaculatory duct orifice and the verumontanum was categorized into 4 types, including 8 (1.9%), 32 (7.6%), 341 (81.4%) and 38 (9.1%) cases in types A, B, C and D, respectively. …”
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“…Computed tomography (CT) of the abdomen/pelvis revealed a three-millimeter left ureterovesicular-junction calculus. Pain control proved difficult, necessitating multiple doses of opioid and non-opioid analgesia. …”
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“…This work strongly supports HPT and demonstrates a “rational” calculus including social value.…”
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“…Reviewed evidence includes the association between phosphate toxicity and cancer development, and the association between periodontal disease and chronic kidney disease-mineral and bone disorder includes conditions such as ectopic calcification and bone resorption, which may be indirectly related to periodontal disease. Dental calculus in periodontal disease contains calcium phosphate crystals that are deposited from excess calcium and phosphate in saliva. …”
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“…Herein we use the fractional probability calculus to frame our arguments and to parameterize the control process that tempers the Lévy process through a collective-induced potential. …”
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“…In the setting of a higher-order [Formula: see text] -calculus with session types, we develop characteristic bisimilarity, a typed bisimilarity which fully characterises contextual equivalence. …”
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