Results 21 to 30 of about 10,183,399 (294)
Complex Variable Approach for Thermoelastic Boundary Value Problem Using Rational Mapping Techniques
MathematicsThis article presents a novel approach to looking at steady-state thermoelastic boundary value problems in isotropic elastic plates with curvilinear holes using a complex variable approach and rational conformal mappings.
Mai Taha +4 more
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Pluricomplex Green's functions and Fano manifolds [PDF]
Épijournal de Géométrie Algébrique, 2019 We show that if a Fano manifold does not admit Kahler-Einstein metrics then the Kahler potentials along the continuity method subconverge to a function with analytic singularities along a subvariety which solves the homogeneous complex Monge-Ampere ...
Nicholas McCleerey, Valentino Tosatti
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Complex Riemannian Spacetime: Removal of Black Hole Singularities and Black Hole Paradoxes
AxiomsAn approach is presented to resolve key paradoxes in black hole physics through the application of complex Riemannian spacetime. We extend the Schwarzschild metric into the complex domain, employing contour integration techniques to remove singularities ...
John W. Moffat
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One complex variable versus several complex variables: The Hartogs extension phenomenon in context [PDF]
Opuscula MathematicaWe explicate the difference between the function theory of one complex variable and the function theory of several complex variables. In particular, we use the inhomogeneous Cauchy-Riemann equations to explain why there is a Hartogs extension phenomenon ...
Steven G. Krantz
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Complex Riemannian Spacetime and Singularity-Free Black Holes and Cosmology
AxiomsAn approach is presented to address singularities in general relativity using a complex Riemannian spacetime extension. We demonstrate how this method can be applied to both black hole and cosmological singularities, specifically focusing on the ...
John W. Moffat
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Properties of composite positive continuous functions in $\mathbb{C}^n$
Karpatsʹkì Matematičnì Publìkacìï, 2015 The properties of positive continuous functions with $Q^n_{\mathbf{b}}$ and $Q$ are investigated. We prove that some composite functions with $Q$ belong to class $Q^n_{\mathbf{b}}.$ A relation between functions with these classes are established.
A.I. Bandura
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Removable singularities for hardy spaces [PDF]
, 1998 In this paper we study removable singularities for Hardy spaces of analytic funtions on general domains. Two different definitions are given. For compact sets they turn out to be equal and moreover independent of the surrounding domain, as was proved by ...
Björn, Anders,, Björn, Anders
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Cryptographic Puzzles and Complex Systems
, 2021 A puzzle lies behind password authentication (PA) and blockchain proof of work (PoW). A cryptographic hash function is commonly used to implement them. The potential problem with secure hash functions is their complexity and rigidity.
Vuckovac, Rade, null null, Rade Vuckovac
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Loneliness is associated with adverse physical and mental health outcomes and remains understudied in children and adolescents undergoing cancer therapy. Pediatric oncology patients may be at increased risk due to medical isolation and disruption of social networks.
Charlotte N. Stahlfeld +5 more
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MathematicsThe paper expands the finite difference method to the complex plane, and thus obtains an improvement in the resolution of differential equations with an increase in numerical precision and a generalization in the mathematical modeling of problems.
Ana Laura Mendonça Almeida Magalhães +6 more
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