Articles with "calculus" as a keyword



Laser and scanning electron microscopy evaluation of residual microislands of calculus

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Published in 2024 at "Journal of Periodontology"

DOI: 10.1002/jper.24-0191

Abstract: Abstract Background Recent studies suggest a role for microscopic crystalline particles of residual dental calculus in the pathogenesis of periodontitis. The purpose of this ex vivo study was to compare the effectiveness of scaling and… read more here.

Keywords: electron microscopy; root; calculus; edta ... See more keywords

Isotope analysis of human dental calculus δ13CO3 2−: Investigating a potential new proxy for sugar consumption

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Published in 2022 at "Rapid Communications in Mass Spectrometry"

DOI: 10.1002/rcm.9286

Abstract: Rationale Dental calculus (mineralised dental plaque) is composed primarily of hydroxyapatite. We hypothesise that the carbonate component of dental calculus will reflect the isotopic composition of ingested simple carbohydrates. Therefore, dental calculus carbonates may be… read more here.

Keywords: isotope analysis; calculus; 13c values; dental calculus ... See more keywords
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Formalization of the Resolution Calculus for First-Order Logic

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Published in 2017 at "Journal of Automated Reasoning"

DOI: 10.1007/s10817-017-9447-z

Abstract: I present a formalization in Isabelle/HOL of the resolution calculus for first-order logic with formal soundness and completeness proofs. To prove the calculus sound, I use the substitution lemma, and to prove it complete, I… read more here.

Keywords: resolution; first order; calculus; order logic ... See more keywords

Limiting Subdifferential Calculus and Perturbed Distance Function in Riemannian Manifolds

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Published in 2020 at "Journal of Global Optimization"

DOI: 10.1007/s10898-020-00889-w

Abstract: We provide definitions for Fréchet $$\varepsilon $$ ε -subdifferential and Fréchet $$\varepsilon $$ ε -normals set for functions and sets in the Riemannian manifolds. Then we generalize the notions of Mordukhovich sequential subdifferential and normal… read more here.

Keywords: distance function; limiting subdifferential; riemannian manifolds; calculus ... See more keywords

Solutions of the Radial Component of the Fractional Schrödinger Equation Using N-Fractional Calculus Operator

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Published in 2020 at "Differential Equations and Dynamical Systems"

DOI: 10.1007/s12591-016-0308-8

Abstract: Fractional calculus tecniques are used for the solutions of some classes of differential equations and fractional differential equations. One of the these tecniques is N-fractional calculus operator $$N^{\eta }$$ N η method. We can obtain… read more here.

Keywords: component fractional; fractional calculus; calculus; radial component ... See more keywords

Semiclassical functional calculus on nilpotent Lie groups and their compact nilmanifolds

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Published in 2024 at "Analysis and Mathematical Physics"

DOI: 10.1007/s13324-025-01051-z

Abstract: In this paper, we show that the semiclassical calculus recently developed on nilpotent Lie groups and nilmanifolds include the functional calculus of suitable subelliptic operators. Moreover, we obtain Weyl laws for these operators. Amongst these… read more here.

Keywords: nilpotent lie; lie groups; calculus; semiclassical functional ... See more keywords

Some applications of extended calculus to non-Newtonian flow in pipes

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Published in 2021 at "Journal of The Brazilian Society of Mechanical Sciences and Engineering"

DOI: 10.1007/s40430-021-02802-2

Abstract: Fractional and non-Newtonian calculus are an extension of classical calculus, usually known for providing new mathematical tools useful in science, developed from alternative approaches. Among fractional calculus, Riemann-Liouville and Caputo fractional derivatives have been the… read more here.

Keywords: calculus; applications extended; non newtonian; extended calculus ... See more keywords

Anastomotic Urethroplasty for an Obstructing Calculus Within a Bulbar Urethral Diverticulum and Urethral Stricture

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Published in 2017 at "Urology Case Reports"

DOI: 10.1016/j.eucr.2016.10.005

Abstract: A 61-year-old male with prior history of endoscopic urethral calculus removal presented to the emergency room with urinary retention and a palpable perineal mass. A CT showed a large calcification within the bulbar urethra. After… read more here.

Keywords: anastomotic urethroplasty; urethral stricture; within bulbar; stricture ... See more keywords

Testing the validity of stable isotope analyses of dental calculus as a proxy in paleodietary studies

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Published in 2018 at "Journal of Archaeological Science"

DOI: 10.1016/j.jas.2018.01.008

Abstract: Abstract Stable isotopic analyses (δ13C, δ15N) of dental calculus have been suggested as a proxy for the study of diet of ancient populations but questions about their validity have been raised. Here we test this… read more here.

Keywords: dental calculus; 13c 15n; calculus; testing validity ... See more keywords
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Ultrasonography and Surgical Treatment of an Unusual Case of Urethral Calculus in an Arabian Horse.

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Published in 2020 at "Journal of equine veterinary science"

DOI: 10.1016/j.jevs.2020.103150

Abstract: This case report records an obstructive urolithiasis due to a large calcium carbonate urethral stone in an 11-year-old Arabian stallion. The stallion had colicky pain, anuria, and reduction in food and water intakes. Palpation of… read more here.

Keywords: surgical treatment; ultrasonography surgical; treatment unusual; case ... See more keywords

Extension of rate of change concept: From local to nonlocal operators with applications

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Published in 2020 at "Results in physics"

DOI: 10.1016/j.rinp.2020.103515

Abstract: Abstract The concept of rate of change gave birth to numerous important theories and applications in mathematics, applied mathematics and other related academic disciplines. For example, differential calculus which is linked to integral calculus via… read more here.

Keywords: caputo; change; calculus; function ... See more keywords