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In this paper, we aim to establish several properties and notions for interpolative metric spaces and to introduce the idea of a Hausdorff interpolative metric space. Through the formulation of the key principles of Haus...

Abstract The present work aims at the application of different optimization strategies in the electromagnetic analysis of the Variable Reluctance Motor (VRM) through Finite Element (FE) simulation. Two case studies are i...

Federated Prompt Learning (FPL) enables efficient collaborative adaptation of large-scale models, but it remains vulnerable to data heterogeneity: locally optimized prompts may become biased, thereby weakening the aggreg...

Materias / palabras clave: No

Abstract For a successful analysis of the relation between amino acid sequence and protein structure, an unambiguous and physically meaningful definition of secondary structure is essential. We have developed a set of si...

Materias / palabras clave: geometry, geometric analysis, algebraic geometry, differential geometry, euclidean geometry; Science: Mathematics

Materias / palabras clave: mathematical physics, finsler geometry, differential geometry; Science: Mathematics

Materias / palabras clave: mathematical physics, differential geometry, integrable systems, lie groups and algebras, representation theory, special functions; Science: Mathematics

Materias / palabras clave: difference and functional equations, number theory, applied mathematics, differential geometry, operator theory, functional analysis; Science: Mathematics

Materias / palabras clave: pure mathematics, applied mathematics, differential equations, complex geometry, applied analysis, differential geometry; Science: Mathematics

Materias / palabras clave: applied mathematics, differential geometry, general topology, partial differential equations, functional analysis, operator theory; Science: Mathematics

Materias / palabras clave: pure mathematics, differential equations, differential geometry, topology, functional analysis, complex analysis; Science: Mathematics

Materias / palabras clave: topology, geometry, differential geometry, mathematics, algebraic geometry; Science: Mathematics

Materias / palabras clave: differential geometry, geometry, spaces of affine and projective connections, methods of studying immersed manifolds, elementary geometry, manifolds with a complex or almost complex structure; Science: Mathematics

Materias / palabras clave: topology, geometry, manifolds, fuzzy sets, differential topology, algebraic topology; Science: Mathematics

Materias / palabras clave: mathematical physics, complex analysis, differential equations, spectral theory, geometry, functional analysis; Science: Mathematics

Materias / palabras clave: ordinary differential equations, partial differential equations, mathematical physics, real and functional analysis, complex analysis, geometry; Science: Mathematics