Results 11 to 20 of about 618,391 (283)
Pochhammer symbol with negative indices. A new rule for the method of brackets
Open Mathematics, 2016 The method of brackets is a method of integration based upon a small number of heuristic rules. Some of these have been made rigorous. An example of an integral involving the Bessel function is used to motivate a new evaluation rule.
Gonzalez Ivan, Jiu Lin, Moll Victor H
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The method of brackets. Part 2: examples and applications
, 2010 A new heuristic method for the evaluation of definite integrals is presented. This method of brackets has its origin in methods developed for the evaluation of Feynman diagrams. The operational rules are described and the method is illustrated with several examples. The method of brackets reduces the evaluation of a large class of definite integrals to
Gonzalez, Ivan +2 more
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Mellin-Barnes and the method of brackets
, 2021 The method of brackets is a method for the evaluation of definite integrals based on a small number of rules. This is employed here for the evaluation of Mellin-Barnes integral. The fundamental idea is to transform these integral representations into a bracket series to obtain their values.
Gonzalez, Ivan +3 more
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MethodsX, 2020 The determination of the orthodontic brackets’ adaptation to the curvatures of teeth is a difficult topic to study. The complexity arise due to the different designs of their fitting surfaces, margins and curvatures of orthodontic brackets.
Yaseen Fakir, BChD, MSc +2 more
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Microhardness and Chemical Composition of Different Metallic Brackets: An In Vitro Study
Dentistry Journal, 2023 The purpose of the study is to compare the hardness of different metallic brackets to enamel and to determine their chemical composition and microstructure.
Marine Colmant +4 more
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Double quasi-Poisson brackets : fusion and new examples [PDF]
, 2020 We exhibit new examples of double quasi-Poisson brackets, based on some classification results and the method of fusion. This method was introduced by Van den Bergh for a large class of double quasi-Poisson brackets which are said differential, and our ...
Fairon, Maxime
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Effects of femtosecond laser and other surface treatments on the bond strength of metallic and ceramic orthodontic brackets to zirconia. [PDF]
PLoS ONE, 2017 Femtosecond laser has been proposed as a method for conditioning zirconia surfaces to boost bond strength. However, metallic or ceramic bracket bonding to femtosecond laser-treated zirconia surfaces has not been tested. This study compared the effects of
Verónica García-Sanz +6 more
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Lifting of the Vlasov–Maxwell bracket by Lie-transform method [PDF]
Journal of Plasma Physics, 2016 The Vlasov–Maxwell equations possess a Hamiltonian structure expressed in terms of a Hamiltonian functional and a functional bracket. In the present paper, the transformation (‘lift’) of the Vlasov–Maxwell bracket induced by the dynamical reduction of single-particle dynamics is investigated when the reduction is carried out by Lie-transform ...
Brizard, A. J. +4 more
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p-Mechanics and Field Theory [PDF]
, 2004 The orbit method of Kirillov is used to derive the p-mechanical brackets [math-ph/0007030, quant-ph/0212101]. They generate the quantum (Moyal) and classic (Poisson) brackets on respective orbits corresponding to representations of the Heisenberg group ...
Kisil, Vladimir V.
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Comparison of Enamel Demineralisation Scores between Passive Self-Ligation Brackets and Conventional Ligation Brackets in Patients Undergoing Orthodontic TreatmentA Laser Fluorescence Study [PDF]
Journal of Clinical and Diagnostic Research, 2020 Introduction: Enamel demineralisation is often seen in patients undergoing fixed orthodontic treatment because appliances create retentive areas around the brackets leading to food debris accumulation.
Akriti Tiwari, Ravindra Kumar Jain
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