Results 81 to 90 of about 6,012,202 (297)

Performance Estimation and Ex Vivo Validation of Untethered Magnetic Robots in Soft Tissue

Advanced Science, EarlyView.
This study presents an empirical model that quantitatively predicts the step‐out frequency of screw‐type untethered magnetic robots (UMRs) in soft viscoelastic environments, including ex vivo brain tissue. By integrating key parameters into a dimensionless framework, the model enables estimation of robot performance across a range of biological ...
Leendert‐Jan W. Ligtenberg, Thijs J. van der Burg, Stijn Y. Kolkman, Santiago Saavedra Castano, David Fernandez Rivas, Anke Klingner, Roger M. L. M. Lomme, Lucas S. Joziasse, Dorothee Wasserberg, H. Remco Liefers, Doron Ben Ami, Udi Sadeh, Oded Shoseyov, Giulio Dagnino, Pascal Jonkheijm, Jurgen J. Fütterer, Stefano Stramigioli, J. Frank W. Nijsen, Michiel C. Warlé, Islam S. M. Khalil   +19 more
wiley   +1 more source

Borsuk's antipodal and fixed-point theorems for correspondences without convex values [PDF]

We present an extension of Borsuk's antipodal theorem (existence of a zero) for antipodally approachable correspondences without convex values. This result is a generalization of Borsuk-Ulam Theorem and has a fixed-point equivalent formulation.Borsuk's ...
Jean-Marc Bonnisseau, Pascal Gourdel, Hakim Hammami, Souhail Chebbi   +3 more
core  

Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies

Advanced Science, EarlyView.
A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang, Pengyi Feng, Fei Han, Weijin Chen, Zhongwei Jin, Jincheng Ni, Yuanjie Yang, Anxue Zhang, Guy A. E. Vandenbosch, Niels Verellen, Ewald Janssens, Jiafu Wang, Benfeng Bai, Cheng‐Wei Qiu, Xuezhi Zheng   +14 more
wiley   +1 more source

A NOTE ON BRØNDSTED’S FIXED POINT THEOREM

Bulletin of the Australian Mathematical Society, 2023
AbstractWe show that for the case of uniformly convex Banach spaces, the conditions of Brøndsted’s fixed point theorem can be relaxed.
openaire   +3 more sources

Van der Waals Heterostructures for Next‐Generation Spintronics: Multiferroic‐Mediated Magnetoelectric Properties

Advanced Science, EarlyView.
As CMOS technology approaches fundamental energy limits, new paradigms for low‐power information processing are required. Magnetic systems are attractive for their spin transport, yet current‐induced magnetization control is energy inefficient. Multiferroic heterostructures enable energy‐efficient electric field manipulation of magnetism.
Donghyeon Lee, Jiwoong Yang, Inhyeok Oh, Sanghan Lee   +3 more
wiley   +1 more source

A fractional order Monkeypox model with protected travelers using the fixed point theorem and Newton polynomial interpolation. [PDF]

Healthc Anal (N Y), 2023
Adom-Konadu A, Bonyah E, Sackitey AL, Anokye M, Asamoah JKK.   +4 more
europepmc   +1 more source

A fixed point theorem [PDF]

Proceedings of the American Mathematical Society, 1957
O'Neill, B., Straus, E. G.
openaire   +1 more source

SOME FIXED POINT THEOREMS

Demonstratio Mathematica, 1996
Let \((X,d)\) be a bounded metric space and \(T:X\to \text{CB} (X)\) a set-valued mapping. Let \(O(x)\) be the orbit of \(x\) by the mapping \(T\) and let \(\delta(A,B)\) be the diameter of the pair \(A,B\subset X\). The author gives some strict fixed point theorems for some set-valued mappings which satisfy the following condition \[ \delta (Tx,Ty ...
openaire   +2 more sources

A Discrete Multivariate Mean Value Theorem with Applications [PDF]

AMS classifications: 47H10; 54H25; 55M20; 90C33; 91B50Discrete set;mean value theorem;fixed point;algorithm;equilibrium ...
Yang, Z.F., Talman, A.J.J.
core  

A fixed point theorem for a multivalued non-self mapping [PDF]

, 1996
summary:We prove a fixed point theorem for a multivalued non-self mapping in a metrically convex complete metric space. This result generalizes Theorem 1 of Itoh [2]
Rhoades, B. E.
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