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An extension of the method of brackets. Part 2 [PDF]

open access: goldOpen Mathematics, 2020
The method of brackets, developed in the context of evaluation of integrals coming from Feynman diagrams, is a procedure to evaluate definite integrals over the half-line. This method consists of a small number of operational rules devoted to convert the
Gonzalez Ivan, Jiu Lin, Moll Victor H.
doaj   +4 more sources

Integrals of Frullani type and the method of brackets

open access: goldOpen Mathematics, 2017
The method of brackets is a collection of heuristic rules, some of which have being made rigorous, that provide a flexible, direct method for the evaluation of definite integrals.
Bravo Sergio   +3 more
doaj   +5 more sources

Does the pain experienced during orthodontic treatment and bracket removal depend on the architecture of the bracket or debonding method? [PDF]

open access: hybridEur J Orthod
Abstract Background The fear of pain during the various stages of orthodontic treatment with fixed appliances is a common concern of patients. Therefore, the present research aimed to thoroughly investigate the impact of bracket architecture on pain perception during active treatment, debonding, and ...
Gibas-Stanek M, Fudalej P.
europepmc   +5 more sources

Compatibility of the method of brackets with classical integration rules

open access: yesOpen Mathematics, 2023
The method of brackets is a symbolic approach to the computation of integrals over Rn{{\mathbb{R}}}^{n} based on a deep result by Ramanujan. Its usefulness to obtain new and difficult integrals has been demonstrated many times in the last few years. This
Bradshaw Zachary   +4 more
doaj   +2 more sources

The evaluation of a definite integral by the method of brackets illustrating its flexibility

open access: goldOpen Mathematics
The method of brackets is a procedure to evaluate definite integrals over a half-line. It consists of a small number of rules. This article illustrates the method by evaluating an integral by several variations of the method. The integrand is the product
Gonzalez Ivan   +2 more
doaj   +2 more sources

Effects of Tungsten Bur and Flame with Sandblasting Reconditioning Methods on Friction Resistance and Gate Patency of Different Self-Ligating Brackets: An In Vitro Study

open access: goldDental Hypotheses
Introduction: This study aimed to evaluate and compare the effects of tungsten bur and flame with sandblasting (FS) reconditioning methods on gate patency and frictional resistance of different self-ligating brackets.
Noor L. Aftan, Dheaa H. Al-Groosh
doaj   +2 more sources

Analytic Expressions for Debye Functions and the Heat Capacity of a Solid

open access: yesMathematics, 2022
Analytic expressions for the N-dimensional Debye function are obtained by the method of brackets. The new expressions are suitable for the study of heat capacity of solids and the analysis of the asymptotic behavior of this function, both in the high and
Ivan Gonzalez   +3 more
doaj   +1 more source

The Shear Bond Strengths of Metal and Ceramic Brackets: An in-Vitro Comparative Study [PDF]

open access: yesJournal of Clinical and Diagnostic Research, 2013
Aim: This study has compared the Shear Bond Strengths (SBSs) of ceramic brackets and metal brackets. Materials and Method: Forty freshly extracted, human maxillary first premolars were selected for bonding.
Y G Reddy   +5 more
doaj   +1 more source

Microhardness and Chemical Composition of Different Metallic Brackets: An In Vitro Study

open access: yesDentistry 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
doaj   +1 more source

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