The Newtonian limit on cosmological scales [PDF]
We establish the existence of a wide class of inhomogeneous relativistic solutions to the Einstein-Euler equations that are well approximated on cosmological scales by solutions of Newtonian gravity.
Oliynyk, Todd A.
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On the multiplicative Legendre equation
When exponentials are employed to model procedures and efficacies appearing in real life, an additive derivative of this type of function does not exist.
Sertac Goktas
doaj +1 more source
Examining the relation of correct knowledge and misconceptions using the nominal response model
This study reports an analysis of the Force Concept Inventory (FCI) using item response curves (IRC)—the fraction of students selecting each response to an item as a function of their total score.
John Stewart +7 more
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Interactive-engagement vs traditional methods: A six-thousand-student survey of mechanics test data for introductory physics courses [PDF]
The complete report from Richard Hake's long-term study of interactive engagement (IE) techniques and their effect on the understanding of physics by non-physics majors.
Richard Hake
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Determination of the Köthe-Toeplitz Duals over the Non-Newtonian Complex Field
The important point to note is that the non-Newtonian calculus is a self-contained system independent of any other system of calculus. Therefore the reader may be surprised to learn that there is a uniform relationship between the corresponding operators
Uğur Kadak
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Certain Spaces of Functions over the Field of Non-Newtonian Complex Numbers
This paper is devoted to investigate some characteristic features of complex numbers and functions in terms of non-Newtonian calculus. Following Grossman and Katz, (Non-Newtonian Calculus, Lee Press, Piegon Cove, Massachusetts, 1972), we construct the ...
Ahmet Faruk Çakmak, Feyzi Başar
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Application of Atangana-Baleanu Fractional Derivative to Carbon Nanotubes Based Non-Newtonian Nanofluid: Applications in Nanotechnology [PDF]
Single and multi-walled carbon nanotubes (SWCNTs & MWCNTs) comprise a large group of nanometer-thin hollow fibrous nanomaterials having physico-chemical characteristics like atomic configuration, length to diameter ratios, defects, impurities and ...
Kashif Ali Abro +2 more
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Discrete and Continuous Multiplicative Differential Equations and Applications in Solving Non−Linear Difference and Differential Equations [PDF]
Boundary and initial value problems, including nonlinear difference equations and nonlinear differential equations, are the mathematical models of many physics and engineering problems and natural phenomena.
Mohammad Jahanshahi +2 more
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In this article, thin film flow of non-Newtonian pseudo-plastic fluid is investigated on a vertical wall through homotopy-based scheme along with fractional calculus.
Qayyum Mubashir +5 more
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The Fractal Tapestry of Life: III Multifractals Entail the Fractional Calculus
This is the third essay advocating the use the (non-integer) fractional calculus (FC) to capture the dynamics of complex networks in the twilight of the Newtonian era. Herein, the focus is on drawing a distinction between networks described by monfractal
Bruce J. West
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