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Basic Principles of Classical Mechanics
To describe the motion of mechanical systems one uses a variety of mathematical models which are based on different principles - laws of motion. In...
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Cardinality and IOD-type continuity of pullback attractors for random nonlocal equations on unbounded domains
We study the continuity set (the set of all continuous points) of pullback random attractors from a parametric space into the space of all compact...
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Influence of Numerical Diffusion on the Growth Rate of Viscous Fingers in the Numerical Implementation of the Peaceman Model by the Finite Volume Method
A numerical model of oil displacement by a mixture of water and polymer based on the Peaceman model is considered. Numerical experiments were carried...
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Harmonic weak Maass forms and periods II
In this paper we investigate the Fourier coefficients of harmonic Maass forms of negative half-integral weight. We relate the algebraicity of these...
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On a Characterization of the Logarithmic Mean
In the present note we are interested in proving the counterpart of the (right-hand side of the) celebrated Hermite–Hadamard inequality for
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Commutator Formulas for Gradient Ricci Shrinkers and Their Application to Linear Stability of Gradient Ricci Shrinkers
In this paper we have found a number of commutator formulas between the weighted divergence, the weighted Laplacian, the weighted Lichnerowicz...
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Second order necessary condition for a strong minimum in the classical problem of calculus of variations
The paper offers a second order necessary condition for a strong minimum in the standard problem of calculus of variations. No idea of such a result...
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A robust second-order low-rank BUG integrator based on the midpoint rule
Dynamical low-rank approximation has become a valuable tool to perform an on-the-fly model order reduction for prohibitively large matrix...
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Experts’ intuitive mathematical discourses about integration in complex analysis
Although complex analysis is part of the study programs of many mathematics undergraduates, little research has been done on how individuals...
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Existence of Solution of a Free Boundary Problem for Reaction–Diffusion Systems
In this paper, we prove the existence of a solution of a novel free boundary problem for reaction-diffusion systems describing growth of biological...
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A strong form of the quantitative Wulff inequality for crystalline norms
Quantitative stability for crystalline anisotropic perimeters, with control on the oscillation of the boundary with respect to the corresponding...
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A note on Cline’s formula for some generalized inverses in a ring
In this note, we generalize Cline’s formula for some new generalized inverses such as strong Drazin inverse, generalized strong Drazin inverse,...