Results 51 to 60 of about 3,305 (304)
Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions
AxiomsIn 2012, Chu investigated the generalization of classical Watson–Whipple–Dixon summation theorems in the form of analytical formulas. By employing four generalized Watson summation formulas, the objective of this paper is to evaluate a new class of ...
Prathima Jayarama +3 more
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On the arithmetic nature of definite integrals of rational functions.
, 1971 A. Baker’s theorems on linear forms in the logarithms of algebraic numbers imply information on the arithmetic nature of definite integrals of rational functions. This paper pro vides a convenient formulation of these implied results.
A. J. Van der Poorten
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Advanced Functional Materials, EarlyView.Two nitrogen‐doped 2D conjugated metal‐organic frameworks (2D c‐MOFs, namely Cu‐Nx‐OHBA, x = 2 or 4) are synthesized, featuring precise nitrogen incorporation via rational ligand design. The Cu‐Nx‐OHBA 2D c‐MOFs are largely tailorable by varying skeletal nitrogen density, with respect to electrical conductivity, Li‐storage capacitance, and Li‐transport
Xiangyu Li +7 more
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Not as Straightforward as It Appears: Undergraduates Leverage Areas to Find Definite Integrals
, 2023 Research into didactics of calculus has maintained a long-standing interest in students’ grasp of the relations between definite integrals and areas. This study comes to contribute to this line of research by unpacking how students use the concept of ...
Li, Tianqing +3 more
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Advanced Functional Materials, EarlyView.The polymer wall stabilized dye‐doped liquid crystals (PWLCs) enhance the sensitivity of photoinduced molecular reorientation in dye‐doped LC systems. The PWLC with an invisible polymer wall successfully reduces the threshold intensity and functions as an optical limiter under the incidence of low intensity light laser source.
Junki Yokota +6 more
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Some New Inequalities of Qi Type for Definite Integrals
International Journal of Analysis and Applications, 2014 In the paper, the authors establish some new integral inequalities, from which some integral inequalities of Qi type may be derived.
Bo-Yan Xi, Feng Qi
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The use of integral defined to calculate the area flooded of Rio Bonito’s dam
Revista Produção e Desenvolvimento, 2015 This paper presents an application of definite integral whose objective is to calculate the flooded area of Rio Bonito’s dam. Historical records show the importance of this dam to the region, it is responsible for contain the floods in "Banhado do ...
Cristina Martins Paraol +1 more
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Advanced Materials, EarlyView.AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
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Using ChatGPT in solving definite integrals [PDF]
Definite integrals have large application in mathematics, physics, engineering, etc., but it is needed deep knowledge, the appropriate techniques and skills, as well as big attention for their solving.
Zlatanovska, Biljana +2 more
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On Certain Properties of a Univalent Function Associated with Beta Function
Abstract and Applied Analysis, 2022 Beta function has some applications in differential equations and other areas of sciences and engineering where certain definite integrals are used. However, its applications to univalent functions have not been explored based on the available literature.
Matthew Olanrewaju Oluwayemi +2 more
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