Results 111 to 120 of about 1,483,662 (311)

Smoothness of Function in Terms of Kernel and Its Relation With K-Derivative

open access: yesJournal of Mathematics
We define a kernel function and K-derivative of a function w.r.t. this Kernel is introduced and studied, this new derivative is obtained by replacing e−st in Laplace derivative with Ks,t, the newly defined kernel.
Suranjana Deb
doaj   +1 more source

Numerical Investigation of a Dual‐Mode Shape Memory Alloy Stent Enabling Secondary Expansion via Focused Ultrasound: A Potential Strategy for Correcting In‐Stent Restenosis

open access: yesAdvanced Engineering Materials, EarlyView.
This study demonstrates a novel noninvasive strategy to treat in‐stent restenosis using focused ultrasound. A shape memory alloy stent initially expands at body temperature. If restenosis occurs, targeted ultrasound heating thermally actuates the stent, enabling a secondary expansion to reopen the blocked vessel, offering a potential alternative to ...
Stephen Asare   +3 more
wiley   +1 more source

On the Funk transform on compact symmetric spaces

open access: yes, 2009
We prove that a function on an irreducible compact symmetric space M, which is not a sphere, is determined by its integrals over the shortest closed geodesics in M. We also prove a support theorem for the Funk transform on rank one symmetric spaces which
Klein, Sebastian   +2 more
core  

Some Explicit Expressions and Interesting Bifurcation Phenomena for Nonlinear Waves in Generalized Zakharov Equations

open access: yesAbstract and Applied Analysis, 2013
Using bifurcation method of dynamical systems, we investigate the nonlinear waves for the generalized Zakharov equations utt-cs2uxx=β(|E|2)xx,  iEt+αExx-δ1uE+δ2|E|2E+δ3|E|4E=0, where α,β,δ1,δ2,δ3, and cs are real parameters, E=E(x,t) is a complex ...
Shaoyong Li, Rui Liu
doaj   +1 more source

A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions

open access: yesAdvanced Engineering Materials, EarlyView.
This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice   +2 more
wiley   +1 more source

A sharpened estimate on the pseudo-Gamma function

open access: yes, 2013
The pseudo-Gamma function is a key tool introduced recently by Cheng and Albeverio in the proof of \break the density hypothesis. This function is doubly symmetric, which means that it is reflectively symmetric about the real axis by the Schwarz ...
Cheng, Yuanyou Furui, Li, Gongbao
core  

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