“…In particular, we use Leray criterion powered by persistent homology theory, Eckhoff conditions and Region Connection Calculus to verify consistency of neuronal responses with a single coherent representation of space.…”
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“…Two optimal control strategies, an open‐loop (calculus of variations) and a closed‐loop (state‐dependent Riccati equation), are applied on the system in order to find an optimal time scheduling for each drug injection. …”
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“…Resources at the infrastructure and platform layers are shared so that a variety of independent applications can make use of the local calculus and access the data stored in a Data Lake. …”
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“…Starting from the free energy of the system, which includes the electrostatic interactions, additional internal degrees of freedom are included as positional and orientational entropic contributions to the free energy functional. The calculus of variation was used to derive Euler–Lagrange equations, which were solved numerically by the finite element method. …”
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“…Background and Objectives: Gum disease represents the condition due to the dental plaque and dental calculus deposition on the surfaces of the teeth, followed by ulterior destruction of the periodontal tissues through the host reaction to the pathogenic microorganisms. …”
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“…This work shows the ability of diffusion tensor imaging (DTI) to evaluate the evolution of the SCI in nonhuman primates through the fraction of anisotropy (FA) analysis and the diffusion tensor tractography (DTT) calculus. The injury progression was analysed up to 3 months after the injury day by FA and DTT. …”
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“…CT imaging showed a large calculus within a dilated common bile duct (CBD) and, despite undergoing an endoscopic retrograde cholangiopancreatography (ERCP) with stone clearance, there was a persistent filling defect that was adherent to the wall of the proximal common bile duct. …”
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“…We present a case with an atypical presentation of a ruptured dermoid in a patient presenting with right upper quadrant pain who underwent sonographic evaluation, which demonstrated acute calculus cholecystitis but incidentally was found to have a partially calcified right subphrenic mass. …”
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“…CLINICAL DISCUSSION: XGP is an uncommon sequela of chronic renal suppurative infection, and is usually associated with long-standing ureteric obstruction secondary to a staghorn calculus. Nephrobronchial fistulation is a rare complication of XGP, highlighting the significance of this case discussion. …”
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“…Based on the gear meshing theory, screw theory and calculus, a screw analysis method of SNCG compound transmission was proposed, which directly and comprehensively reflected the compound motion characteristics of rotation and axial movement. …”
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“…Researchers use epidemic models to better understand the transmission patterns of dengue fever in order to recommend effective preventative measures and give data for vaccine and treatment development. We use fractional calculus to organise the transmission phenomena of dengue fever, including immunisation, reinfection, therapy, and asymptotic carriers. …”
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“…The simplified TWI, community periodontal index (CPI), attachment loss (AL), plaque index (DI), calculus index (CI), and sociodemographic factors were detected and measured. …”
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“…In our paper, we assume the existence of some anticipative information in a market whose risky asset dynamics evolve according to a Brownian motion and a Poisson process. Using Malliavin calculus and filtration enlargement techniques, we derive the information drift of the mentioned processes and, both in the pure jump case and in the mixed one, we compute the additional expected logarithmic utility. …”
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“…Fractional calculus is very convenient tool in modeling of an emergent infectious disease system comprising previous disease states, memory of disease patterns, profile of genetic variation etc. …”
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“…However, measuring, recording and analysing teeth and smiles biometric values proves to be a clinical and laboratory routine chalenge, once it is time consuming and demands additional especific math calculus or formulas. The aim of this paper is present an invention, “anterior upper teeth golden proportion millimetric templates,” a set of instruments fabricated in order to achieve precise and fast millimetric measures, once they present predefined geometrical drawings and diagrams. …”
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“…As a mechanism of the calculus formation within Wharton’s duct, retrograde migration of foreign bodies to the inside of the duct has been proposed. …”
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“…Even though plaque is a primary etiological factor; there are so many aggravating factors such as calculus, genetics, lifestyle habits, systemic health, and occlusal trauma. …”
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“…A proper understanding of the subject matter requires knowledge of tensor algebra and tensor calculus.  At the end of this book, therefore, the foundations of tensor analysis are presented in the Appendix, especially for readers with insufficient mathematical background, but with keen interest in this exciting field of mechanics.…”
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“…Meyer and S. Attal), stochastic calculus (M. Nagasawa, J.B. Walsh, F. Knight, to name a few authors), fine properties of Brownian motion (Bertoin, Burdzy, Mountford), stochastic differential geometry (Arnaudon, Elworthy), quasi-sure analysis (Lescot, Song, Hirsch). …”
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“…Most of these writings, on subjects ranging from secret alchemical formulas to impassioned rejections of the Holy Trinity to notes and calculations on his core discoveries in calculus, universal gravitation, and optics, were summarily dismissed by his heirs as "not fit to be printed." …”
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