Results 41 to 50 of about 2,433,812 (201)

Towards a Morse theory on Banach spaces via ultrafunctions

Arab Journal of Mathematical Sciences, 2015
Morse Theory on Banach spaces would be a useful tool in nonlinear analysis but its development is hindered by many technical problems. In this paper we present an approach based on a new notion of generalized functions called “ultrafunctions” which ...
Vieri Benci, Isaia Nisoli
doaj   +1 more source

Historical and Epistemological Reflections on the Culture of Machines around the Renaissance: How Science and Technique Work? [PDF]

Acta Baltica Historiae et Philosophiae Scientiarum, 2014
This paper is divided into two parts, this being the first one. The second is entitled ‘Historical and Epistemological Reflections on the Culture of Machines around Renaissance: Machines, Machineries and Perpetual Motion’ and will be published in Acta
Raffaele Pisano, Paolo Bussotti
doaj   +1 more source

A comprehensive review of the characterization of real numbers

Selecciones Matemáticas
The real number system is a fundamental tool for rigorous demonstrations of the differential and integral calculus results. Even after a century of formalization on solid foundations, discussions about the construction of this field are generally omitted
Víctor Arturo Martínez León, Rodrigo Bloot, Ana Letícia de Oliveira   +2 more
doaj   +1 more source

Generalized solutions of variational problems and applications

Advances in Nonlinear Analysis, 2018
Ultrafunctions are a particular class of generalized functions defined on a hyperreal field ℝ*⊃ℝ{\mathbb{R}^{*}\supset\mathbb{R}} that allow to solve variational problems with no classical solutions.
Benci Vieri, Luperi Baglini Lorenzo, Squassina Marco   +2 more
doaj   +1 more source

Clean Up Behind You ‐ Novel Patterning Approach for Solid Immersion Lenses

Advanced Functional Materials, EarlyView.
A focused ion beam (FIB) milling strategy enables rapid fabrication of solid immersion lenses (SILs) with smooth, debris‐free surfaces eliminating the need for post‐processing. The optimized pattern improves efficiency and surface quality. SILs containing NV centers are also investigated, confirming the technique's suitability for quantum and photonic ...
Aleksei Tsarapkin, Stefan Facsko, Wentao Zhang, Anna Mogilatenko, Kilian Unterguggenberger, Bailiang Li, Cem Güney Torun, Gerhard Hobler, Tommaso Pregnolato, Tim Schröder, Katja Höflich   +10 more
wiley   +1 more source

Extensions and Applications of Locally Solid Convergence Structures

Mathematics
Locally solid convergence structures provide a unifying framework for both topological and non-topological convergences in vector lattice theory. In this paper, we explore various extensions and applications of locally solid convergence structures.
Saeed Hashemi Sababe
doaj   +1 more source

Lattice Structures for Bone Replacement: The Intersection of Bone Biomechanics, Lattice Design, and Additive Manufacturing

Advanced Materials Technologies, EarlyView.
This review outlines how understanding bone's biology, hierarchical architecture, and mechanical anisotropy informs the design of lattice structures that replicate bone morphology and mechanical behavior. Additive manufacturing enables the fabrication of orthopedic implants that incorporate such structures using a range of engineering materials ...
Stylianos Kechagias, Maxwell J. Munford, Frederik C.H. Masure, Richard J. van Arkel, Reece N Oosterbeek   +4 more
wiley   +1 more source

The Caccioppoli ultrafunctions

Advances in Nonlinear Analysis, 2017
Ultrafunctions are a particular class of functions defined on a hyperreal field ℝ∗⊃ℝ{\mathbb{R}^{\ast}\supset\mathbb{R}}. They have been introduced and studied in some previous works [2, 6, 7].
Benci Vieri, Berselli Luigi Carlo, Grisanti Carlo Romano   +2 more
doaj   +1 more source

Numerical and Experimental Study of Mixing Characteristics in a Spiral Micromixer

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT Significant enhancement of mixing performance can be achieved by Dean vortices in spiral channels. In order to deeply explore the mixing mechanisms and variation laws in spiral micromixers, this work designed a spiral micromixer and adopted a combined method of experiments and numerical simulations to analyze the mixing performance and ...
Anming Yang, Shiqing Zheng
wiley   +1 more source

Isoelectronic Alloying in Zintl Phases Mediated the Avoided Crossing and Phonon Softening

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
A small amount of Hf doping endows Zr3Ni3Sb4‐Zintl with an unusually low thermal conductivity far exceeding that of similar systems. Two unique phonon mechanisms—avoided crossing and phonon softening—significantly suppress the lattice thermal conductivity. The average thermoelectric figure of merit is improved by 21%.
Zesong Wang, Xiang Wei, Ran Guo, Shun Han, Weihong Gao, Yu‐dong Fu, Zihang Liu   +6 more
wiley   +1 more source