“…These schemes are based on the fundamental theorem of fractional calculus and Lagrange polynomial interpolation. We introduce a simple modification of the step size in the two-step Lagrange polynomial interpolation to obtain stability in a larger region. …”
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“…This paper proposes a new method to improve the global search ability of QPSO with fractional calculus (FC). Based on one of the most frequently used fractional differential definitions, the Grünwald-Letnikov definition, we introduce its discrete expression into the position updating of QPSO. …”
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“…This report analytically describes the role of dental calculus and cuspal trauma as important triggers surrounding the genesis of oral lichenoid lesion and oral lichen planus. …”
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“…Given a formula, HYPNO provides either a proof in the calculus or a countermodel, directly built from an open saturated hypersequent. …”
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“…This condition may be mistaken for acute cholecystitis, liver abscess, duodenal perforation or right renal calculus. Diagnosis may be delayed when acute appendicitis develops complications - appendicular rupture, perforation or localized abscess. …”
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“…We demonstrate that the perfect “atomic” or “surgical” interventions characterised by Pearl’s famous do-calculus are physically impossible, and this is the case for both classical and quantum systems.…”
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“…The Accardi–Boukas quantum Black–Scholes framework, provides a means by which one can apply the Hudson–Parthasarathy quantum stochastic calculus to problems in finance. Solutions to these equations can be modelled using nonlocal diffusion processes, via a Kramers–Moyal expansion, and this provides useful tools to understand their behaviour. …”
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“…A bladder stone had formed on the arm of the T-shaped device. The calculus was successfully lasered transurethrally and the intrauterine device was removed transvaginally. …”
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“…As an effective tool to unify discrete and continuous analysis, time scale calculus have been widely applied to study dynamic systems in both theoretical and practical aspects. …”
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“…Renal calculus disease is a common cause of renal injury. …”
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“…Urological calculus is a common disease in urology. Urological calculi are generally more common in adults but have become more common in children in recent years. …”
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“…The main advantages and limitations of these approaches on construction technique, analysed compounds, calculus models, as well as results obtained, are discussed in view of estimation of future progress related to achieving a portable, practical and rapid miniature device for analysing the quality of virgin olive oil (VOO) at different stages in the manufacturing process.…”
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“…Ultrasound-guided supine mini-PCNL is safe and effective treatment option for the management of calculus in the ectopic pelvic kidney. The risk of injury to surrounding structures associated with ultrasound modality of access can be avoided with proper case selection and careful technique.…”
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“…Pyogenic granuloma (PG) is an oral reactive inflammatory hyperplasia of connective tissue that can occur in response to hormonal changes and local irritation such as calculus, fractured teeth, rough dental restorations, and foreign materials. …”
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“…The calculus of variations is utilised to study the behaviour of a rippled graphene sheet supported on a metal substrate. …”
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“…A calcium bilirubinate calculus was observed in the feces but no etiology was found after extensive investigation. …”
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“…Corynebacterium matruchotii is a reported calcifying bacterium that can usually be isolated from dental calculus and induce mineralization in vitro. In recent years, based on in situ hybridization probe and sequencing technology, researchers have discovered the central “pillar” role of C. matruchotii in supragingival plaque, and many studies focused on bacterial interactions in the biofilm structure dominated by C. matruchotii have been conducted. …”
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“…Moreover, the presented results lead to future progress and expansion of the theory of fractional-order models, as well as of the concept of entropy in the framework of fractional calculus. Further, an example is constructed to demonstrate the reasonableness and effectiveness of the observed results.…”
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“…Due to its powerful and robust support for nonlinear problems, this approach presents a remarkable appearance in the functional studies of fractal calculus.…”
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“…We present a case of a 41-year-old patient who underwent a right open anatrophic pyelolithotomy for a staghorn calculus in the left lateral decubitus position and had swelling in the right and left preauricular and postauricular regions, which had progressed to the angle of the mandible post-operatively.…”
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