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9 articles for “derivative of the first order function”
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Excerpt from the Function of a Complex Variable
Abstract: The need to derive a function arose while trying to find a universal way to determine the tangent of a curve in geometry and velocity in mechanics. In mathematical analysis, in a branch of mathematics, a derivative is a measure of how (how fast) a function changes its values when its input values change. The derivative of the curve at a point represents the coefficient of the direction of the …
Published in Research & Reviews : Journal of Statistics · Vol. 10, Issue 2, 2021 · pp. 1–7 Read article
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Advanced Computable Extension of New Fractional Kinetic Equation
Abstract: AbstractThe aim of this work is to find advanced computable extension of kinetic equation with fractional calculus approach. Fractional calculus originated in 1695, shortly after the inversion of classical calculus. The pioneer researchers who studied it were Liouville, Riemann, Leibniz, etc. For a long time, fractional calculus has been regarded as a pure mathematical area without applications. But, in recent decades, such type of synergism has been changed. It has …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 74–80 Read article
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Molecular structure, Vibrational spectroscopic, HOMO, LUMO, NBO, and NLO studies of 4-Cyano-2-methoxybenzenesulfonyl chloride
Abstract: The vibrational spectroscopic studies of 4-Cyano-2-methoxybenzenesulfonyl Chloride (4C2MBSC) were carried out. 4C2MBSC and its derivatives present in many biologically active compounds. The spectroscopic properties and chemical significance in particular, sulfonyl chloride and its derivatives have been studied extensively by spectroscopic (FTIR spectra) and theoretical methods. The infrared spectrum of this compound was recorded in condensed states. The molecular geometry, highest occupied molecular orbital (HOMO), lowest unoccupied molecular orbital (LUMO), first …
Published in Journal of Modern Chemistry & Chemical Technology · Vol. 9, Issue 2, 2018 · pp. 8–18 Read article
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New Methods for the Prediction of Multiphase Flow through Wellhead Choke in Gas-Condensate Reservoirs
Abstract: Abstract The wellhead chokes are installed in order to stabilize oil and gas flow rates in production and operation disciplines. Most of the existing empirically derived correlations and predictive models to estimate choke performance have been proposed for oil fields production and operational conditions, and particularly production systems and reservoirs involved with condensation of the gaseous phase still suffer from a detailed consideration on the development of reliable predictive models. …
Published in Journal of Offshore Structure and Technology · Vol. 4, Issue 1, 2017 · pp. 1–10 Read article
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INTEGRAL REPRESENTATION OF K-FUNCTION
Abstract: Abstract: In this article, an attempt to be made to introduce the four-different integral representation of Extended K-function and special cases have also been discussed [1, 2]. The Extended K Function which is introduced by the authors first time in this work is extended version of earlier K-Function of Sharma [3]. We will use Riemann-Liouville fractional calculus operator in finding the integral representation of this extended K- Function. Fractional Calculus …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 81–88 Read article
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Flexural Analysis of Thick Plates by Hyperbolic Shear Deformation Theory
Abstract: Hyperbolic shear deformation theory is used for the flexural analysis of isotropic plates with various loading cases. The theory takes account effect of transverse shear deformation. The transverse shear strains distribution through the thickness of the plate varies according to hyperbolic cosine function. The transverse shear stress can be obtained directly from the constitutive relations satisfying the shear stress free surface conditions on the top and bottom surfaces of the …
Published in Journal of Experimental & Applied Mechanics · Vol. 2, Issue 1, 2011 · pp. 17–37 Read article
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PSSM Amino-Acid Composition Based Gene Identification Using Support Vector Machines
Abstract: AbstractThe main characteristic of identifying the molecular mechanism of the cell is to understand the significance or function of each protein encoded in the genome. For that purpose, genome annotation proves to be very supportive. One of the most obligatory phases of genome annotation is the prediction of the genes. Several methods or techniques have been developed in order to locate or predict the patterns of genes in genome sequence. …
Published in Journal of Artificial Intelligence Research & Advances · Vol. 6, Issue 1, 2019 · pp. 50–58 Read article
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Thermo-mechanical Analysis of Orthotropic plate under Sinusoidally Distributed Thermal load by using Trigonometric shear Deformation Theory (TSDT)
Abstract: For the thermal analysis of simply supported square and rectangular plates applied to sinusoidaldistributed linear thermal load throughout the plate thickness and in combination with sinusoidaldistributed transverse mechanical loading, a trigonometric shear deformation theory is proposed. Inthis work, a sinusoidal function in terms of thickness coordinates is being used in the displacement fieldin conjunction with the transverse shear deformation effect. The normal and shear stress can bedetermined by using the …
Published in Journal of Experimental & Applied Mechanics · Vol. 12, Issue 3, 2021 · pp. 10–33 Read article
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Thermo-mechanical Analysis of Orthotropic plate under Sinusoidally Distributed Thermal load by using Trigonometric shear Deformation Theory (TSDT)
Abstract: For the thermal analysis of simply supported square and rectangular plates applied to sinusoidal distributed linear thermal load throughout the plate thickness and in combination with sinusoidal distributed transverse mechanical loading, a trigonometric shear deformation theory is proposed. In this work, a sinusoidal function in terms of thickness coordinates is being used in the displacement field in conjunction with the transverse shear deformation effect. The normal and shear stress can …
Published in Journal of Experimental & Applied Mechanics · Vol. 13, Issue 4, 2022 Read article