Results 71 to 80 of about 2,333 (219)

Time-Optimal Adiabatic-Like Expansion of Bose-Einstein Condensates

, 2012
In this paper we study the fast adiabatic-like expansion of a one-dimensional Bose-Einstein condensate (BEC) confined in a harmonic potential, using the theory of time-optimal control.
A. del Campo, A. P. Prudnikov, B. F. Schutz, Dionisis Stefanatos, H. Schaettler, Jr-Shin Li, L. S. Pontryagin, U. Boscain   +7 more
core   +1 more source

Macrophage Phenotype Detection Methodology on Textured Surfaces via Nuclear Morphology Using Machine Learning

Advanced Intelligent Discovery, EarlyView.
A novel machine learning approach classifies macrophage phenotypes with up to 98% accuracy using only nuclear morphology from DAPI‐stained images. Bypassing traditional surface markers, the method proves robust even on complex textured biomaterial surfaces. It offers a simpler, faster alternative for studying macrophage behavior in various experimental
Oleh Mezhenskyi, Kateryna Andriienkova, Tetyana Goldanova, Ezgi Antmen, Thibaut Soubrie, Nihal Engin Vrana   +5 more
wiley   +1 more source

Siciak-Zahariuta extremal functions, analytic discs and polynomial hulls

, 2008
We prove two disc formulas for the Siciak-Zahariuta extremal function of an arbitrary open subset of complex affine space. We use these formulas to characterize the polynomial hull of an arbitrary compact subset of complex affine space in terms of ...
E.A. Poletsky, F. Lárusson, F. Lárusson, F. Lárusson, Finnur Lárusson, J.B. Garnett, Ragnar Sigurdsson, S. Momm, S.Q. Bu   +8 more
core   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Entanglement detection in hybrid optomechanical systems

, 2011
We study a device formed by a Bose Einstein condensate (BEC) coupled to the field of a cavity with a moving end-mirror and find a working point such that the mirror-light entanglement is reproduced by the BEC-light quantum correlations.
D. F. Walls, G. Massimo Palma, Gabriele De Chiara, L. Pitaevskii, Mauro Paternostro   +4 more
core   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Some new Simpson-type inequalities for generalized p-convex function on fractal sets with applications

Advances in Difference Equations, 2020
The present article addresses the concept of p-convex functions on fractal sets. We are able to prove a novel auxiliary result. In the application aspect, the fidelity of the local fractional is used to establish the generalization of Simpson-type ...
Thabet Abdeljawad, Saima Rashid, Zakia Hammouch, İmdat İşcan, Yu-Ming Chu   +4 more
doaj   +1 more source

Inclusions Involving Interval-Valued Harmonically Co-Ordinated Convex Functions and Raina’s Fractional Double Integrals

Journal of Mathematics, 2022
The aim of this article is to obtain some new integral inclusions essentially using the interval-valued harmonically co-ordinated convex functions and κ-Raina’s fractional double integrals.
Bandar Bin Mohsin, Muhammad Uzair Awan, Muhammad Zakria Javed, Hüseyin Budak, Awais Gul Khan, Muhammad Aslam Noor   +5 more
doaj   +1 more source

Harmonically M-convex Set-valued Function

Abstract This research aimed to introduce the concept of harmonically m-convex set-valued functions, which is obtained from the combination of two definitions: harmonically m-convex functions and setvalued functions. In this work some properties and characteristics are developed, as well as a inequality of the Hermite-Hadamard type for such ...
Santana, Gabriel, Valera-López, Maira
openaire   +2 more sources

ON A SUBCLASS OF CERTAIN CONVEX HARMONIC FUNCTIONS

Journal of the Korean Mathematical Society, 2006
We deflne and investigate a subclass of complex val- ued harmonic convex functions that are univalent and sense pre- serving in the open unit disk. We obtain coe-cient conditions, extreme points, distortion bounds, convolution conditions for the above family of harmonic functions.
Yalcin, Sibel, Ozturk, Metin
openaire   +3 more sources