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Taylor Magazine (Summer 1993) [PDF]

, 1993
The Summer 1993 edition of Taylor Magazine, published by Taylor University in Upland, Indiana.https://pillars.taylor.edu/tu_magazines/1083/thumbnail ...
Taylor University
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Controlling the Center of Mass Motion of Levitated Particles Using Structured Wavefronts

Laser &Photonics Reviews, EarlyView.
Optically levitated particles have great potential for quantum‐enhanced sensing. Precise control of the trapping beam is crucial to improve the stability and confinement of these systems. Here, we study how structured wavefronts can be used to control the center‐of‐mass motion of levitated particles, enhancing trap stiffness and enabling stable ...
Shah Jee Rahman, Quimey Pears Stefano, Angel Cifuentes, Jason Francis, Iker Gómez‐Viloria, Ruben Pellicer‐Guridi, Miguel Varga, Gabriel Molina‐Terriza   +7 more
wiley   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo, Precious Sibanda, S. P. Goqo   +2 more
wiley   +1 more source

Novel Bernstein‐Kantorovich Type Operators

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as Kβn,θ$$ {K}_{\beta}^{n,\theta } $$, parameterized by 0<β<1$$ 0<\beta <1 $$ and θ>0$$ \theta >0 $$. We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for Kβn,θ(tm;x)$$ {K}_{\
Pembe Sabancigil, Nazim I. Mahmudov
wiley   +1 more source

On the Approximation Properties of Modified Bernstein–Kantorovich Operators and Their Subfamilies

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Motivated by the construction of Bernstein–Kantorovich operators preserving affine functions, we introduce a Bernstein–Kantorovich type operators 𝒯n,m together with its subfamilies 𝒯∗n,m, 𝒯∗n,2m−1 and 𝒯∗n,2m. We investigate and compare their approximation properties with the other Bernstein–Kantorovich operators. Our analysis demonstrates that,
Hüseyin Aktuğlu, Mustafa Kara
wiley   +1 more source

A few generalizations of Kendall’s tau. Part II: Intrinsic meaning, properties, and computational aspects

Nonlinear Analysis
Continuing our investigation on generalizations of Kendall’s τ, started in Part I of the paper, here we elaborate on the intrinsic meaning and degree of such polynomial-type concordance measures, as well as present many examples of their computation. In
Martynas Manstavičius
doaj   +1 more source

Dynamic Performance Enhancement of a High‐Agility Hypersonic Mechanical System via a Learning‐Augmented Robust Control Architecture

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori, Seyed Hossein Sadati   +1 more
wiley   +1 more source

Reducing the branching equation to a polynomial

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Backgound. The study of the local topological structure of the set of solutions of a nonlinear equation, as a rule, is reduced to solving a finite-dimensional branching equation constructed from the original equation.
A.N. Grin, M.S. Rodionova, E.A. Shakhova
doaj   +1 more source

Analytical Methodology to Determine Thermally Induced Soil Deformation From Laboratory Data

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Experimental laboratory investigations underlie most of the knowledge about the mechanics of soils under non‐isothermal conditions and their thermally induced deformation. Despite advances, the understanding of thermally induced deformation of soils remains inconsistent, hindering the development of a coherent framework that can advance ...
Jibril B. Coulibaly, Alessandro F. Rotta Loria   +1 more
wiley   +1 more source