Results 51 to 60 of about 10,448,653 (237)

Mechanics of Telson Ridges in Mantis Shrimp for Impact Analysis and Implications for Bioinspired Elastic Shell Designs

open access: yesAdvanced Functional Materials, EarlyView.
The mantis shrimp telson reveals how ridged biological shields control deformation under impact. Inspired by this architecture, telson‐inspired ridged curved shells transform ridge geometry and macroscopic curvature into bidirectional snap‐through, tunable stiffness, and enhanced hysteretic energy dissipation for multifunctional architected materials ...
Phani Saketh Dasika   +5 more
wiley   +1 more source

A Cauchy-type generalization of Flett's theorem

open access: yesDemonstratio Mathematica, 2021
We prove a Cauchy-type generalization of Flett’s theorem and note its geometric interpretations. Several other mean value theorems extending further the result, which involve both real and complex functions, are also proved.
Markov Lubomir
doaj   +1 more source

APPROXIMATING THE MAIN CONJECTURE IN VINOGRADOV'S MEAN VALUE THEOREM [PDF]

open access: yes, 2014
We apply multigrade efficient congruencing to estimate Vino- gradov's integral of degree k for moments of order 2s, establishing strongly diagonal behaviour for 1 6 s 6 1 k(k + 1) − 1 k + o(k).
T. Wooley
semanticscholar   +1 more source

Optimal Control Drives Ultrafast and Energy‐Efficient Magnetization Switching in Van der Waals Magnets

open access: yesAdvanced Materials, EarlyView.
ABSTRACT The accelerating expansion of data‐centric technologies is sharply increasing the energy burden of information storage, placing unprecedented pressure on the efficiency of magnetic switching. Conventional field‐driven reversal, once the foundation of magnetic memory, has become impractical in modern architectures due to its high energy cost ...
Mohammad H. Badarneh   +2 more
wiley   +1 more source

Addendum to Alternative analysis generated by a differential equation

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2004
This addendum concerns the paper of the above title found in EJQTDE No. 2 (2003 ). On page 3, before (2.2), instead of "Applying the mean value theorem" it should read "By simple calculations".
Z. Z. Khukhunashvili   +1 more
doaj   +1 more source

The Estimation of Renewal Functions Using the Mean Value Theorem for Integrals (MeVTI) Method

open access: yes, 2016
In the analysis of warranty, renewal functions are important in acquiring the expected number of failures of a nonrepairable component in a time interval. It is very difficult and complicated -if at all possible- to obtain a renewal function analytically.
L. R. Sasongko, Tundjung Mahatma
semanticscholar   +1 more source

Ferromagnetism of Molecular Beam Epitaxy‐grown Ultra‐thin Cr2Ge2Te6 Films Down to the Monolayer Limit on Si Substrates

open access: yesAdvanced Materials, EarlyView.
Uniform monolayer Cr2Ge2Te6 films are achieved on Si substrates by molecular beam epitaxy. Intrinsic ferromagnetism with perpendicular magnetic anisotropy is established in the films by anomalous Hall effect and superconducting quantum interference device measurements, albeit with strong magnetic fluctuations characteristic of its 2D nature.
Pengfei Ji   +15 more
wiley   +1 more source

On a mean value theorem connected with Hermite-Hadamard's inequality

open access: yesJournal of Numerical Analysis and Approximation Theory, 2004
In this paper we prove a mean-value theorem for integral calculus, then we demonstrate properties of the mean point. In the end we give an extension of Hermite-Hadamard's inequality.
Ovidiu T. Pop
doaj   +2 more sources

Some Variants of Wayment's Mean Value Theorem for Integrals

open access: yesSelecciones Matemáticas
This note deals with some variants of Wayment’s Mean Value Theorem for integrals. Our approach is rather elementary and does not use advanced techniques from analysis. The simple auxiliary functions were used to prove the results.
German Lozada-Cruz
doaj   +1 more source

The cubic case of the main conjecture in Vinogradov's mean value theorem [PDF]

open access: yes, 2014
We apply a variant of the multigrade efficient congruencing method to estimate Vinogradov's integral of degree 3 for moments of order 2 s , establishing strongly diagonal behaviour for 1 ⩽ s ⩽ 6 .
T. Wooley
semanticscholar   +1 more source

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