Results 81 to 90 of about 9,082,759 (197)

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

open access: yesAdvanced 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   +19 more
wiley   +1 more source

On a sum analogous to Dedekind sum and its mean square value formula

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the asymptotic property of a sum analogous to Dedekind sum, and give an interesting mean square value formula.
Zhang Wenpeng
doaj   +1 more source

On the Smarandache reciprocal function and its mean value [PDF]

open access: yes, 2008
The main purpose of this paper is using the elementary and analytic methods to study the mean value distribution properties of Sc(n), and give two interesting mean value formulas for ...
Ding, Liping
core   +1 more source

Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies

open access: yesAdvanced 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   +14 more
wiley   +1 more source

Some special cases on Stolarsky’s means

open access: yesRatio Mathematica
In this paper we observe that one-parameter Stolarsky’s means (SM) are deduced from both the Mean Value Theorem for derivatives (MVTD) and the Mean Value Theorem for definite integrals (MVTI), and we study their elementary properties as the parameter ...
Cesare Palmisani
doaj   +1 more source

On the mean value of the Smarandache LCM function [PDF]

open access: yes, 2008
For any positive integer n, the famous F.Smarandache LCM function SL(n) defined as the smallest positive integer ...
Lin, Cheng
core   +1 more source

Topology‐Enabled Finite‐Band Absorption Framework Based on a Bioinspired Nested Dual‐Loop Architecture

open access: yesAdvanced Science, EarlyView.
A nuclear‐pore‐inspired nested dual‐loop architecture redistributes electromagnetic energy through coupled transport, confinement, and dissipation pathways. Integrated with Co/Fe3O4 dual‐magnetic composites and topology optimization, the 11‐mm‐thick absorber delivers continuous 2–40 GHz attenuation, raises finite‐band structural utilization to 82%, and
Shaokang Liu   +6 more
wiley   +1 more source

Deep‐Learning‐Based Denoising for Improved Phase Precision in Electron Holography of Electromagnetic Fields in Nanoscale Materials

open access: yesAdvanced Science, EarlyView.
Low‐dose electron holography is limited by shot noise, which buries weak phase signals. HoloDenoiser, a physics‐informed network that works simultaneously in the spatial and frequency domains, locates and protects the holographic sideband while suppressing noise in the hologram.
Ye Luo   +10 more
wiley   +1 more source

Cauchy mean-value theorem

open access: yes, 2016
The Cauchy mean-value theorem states that if f and g are two functions continuous on [a,b] and differentiable on (a,b), then there exists a point c in (a,b) such that f´(c)(g(b)-g(a)) = g´(c)(f(b)-f(a)) Geometric interpretation: Consider the parametric ...
Rosa, Félix, Martínez, Soledad
core   +2 more sources

Integral mean value theorem

open access: yes, 2014
CalculusThe integral mean value theorem (a corollary of the intermediate value theorem) states that a function continuous on an interval takes on its average value somewhere in the interval.
Boucher, Chris
core  

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