Results 91 to 100 of about 85,059 (277)

Tauberian Theorems In Quantum Calculus

open access: yesJournal of Nonlinear Mathematical Physics, 2007
A \(q\)-integral \(\int_0^\infty a(t)\,d_qt\) is called summable (A) to the value \(S\) if the \(q\)-Laplace integral \(f(x)=\int_0^\infty e_q^{-xt} a(t)\,d_qt\) converges for every \(x>0\) and \(\lim_{x\rightarrow 0^+} f(x)=S\). The authors study summability of \(q\)-integrals and prove some related Tauberian theorems.
Fitouhi, Ahmed, Brahim, Kamel
openaire   +1 more source

Quantum and braided ZX calculus*

open access: yesJournal of Physics A: Mathematical and Theoretical, 2022
Abstract We apply quantum group methods to quantum computing, starting with the notion of interacting Frobenius Hopf algebras for ZX calculus with noncommutative algebra and noncocommutative coalgebra. We introduce the notion of *-structures in ZX calculus at this algebraic level and construct examples based on the quantum group u
openaire   +3 more sources

Fast‐Responding O2 Gas Sensor Based on Luminescent Europium Metal‐Organic Frameworks (MOF‐76)

open access: yesAdvanced Functional Materials, EarlyView.
Luminescent MOF‐76 materials based on Eu(III) and mixed Eu(III)/Y(III) show rapid and reversible changes in emission intensity in response to O2 with very short response times. The effect is based on triplet quenching of the linker ligands that act as photosensitizers. Average emission lifetimes of a few milliseconds turn out to be mostly unaffected by
Zhenyu Zhao   +5 more
wiley   +1 more source

Decoupling Size and Electronic Effects in Doped SrTiO3 Photocatalysts Through Surface Area–Normalized CO2 Hydrogenation Rates

open access: yesAdvanced Functional Materials, EarlyView.
Exploring the photocatalytic reverse water–gas shift (RWGS) reaction on doped SrTiO3 nanoparticle films, reveals that normalizing catalytic rates by the catalyst's specific surface area (SSA) disentangled surface area effects from the catalyst's intrinsic material properties.
Dikshita Bhattacharyya   +6 more
wiley   +1 more source

A new concept of q-calculus with respect to another function

open access: yesJournal of Innovative Applied Mathematics and Computational Sciences
In this paper, we present an approach to quantum calculus and its applications through a functional method. This approach enables the exploration of the number-theoretic properties of q-calculus in a functional framework, facilitating the modification ...
Shrinath Manjarekar, Hossein Jafari
doaj   +1 more source

Some inequalities for Csiszár divergence via theory of time scales

open access: yesAdvances in Difference Equations, 2020
In this paper, we present some inequalities for Csiszár f-divergence between two probability measures on time scale. These results extend some known results in the literature and offer new results in h-discrete calculus and quantum calculus.
Iqrar Ansari   +4 more
doaj   +1 more source

If Archimedes would have known functions [PDF]

open access: yes, 2014
These are notes and slides from a Pecha-Kucha talk given on March 6, 2013. The presentation tinkered with the question whether calculus on graphs could have emerged by the time of Archimedes, if the concept of a function would have been available 2300 ...
Knill, Oliver
core  

The 3D Spin Geometry of the Quantum Two-Sphere

open access: yes, 2010
We study a three-dimensional differential calculus on the standard Podles quantum two-sphere S^2_q, coming from the Woronowicz 4D+ differential calculus on the quantum group SU_q(2).
Connes A.   +5 more
core   +1 more source

Wavelet Transforms in Quantum Calculus

open access: yesJournal of Nonlinear Mathematical Physics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fitouhi, Ahmed, Bettaibi, Néji
openaire   +2 more sources

Photoswitching Conduction in Framework Materials

open access: yesAdvanced Functional Materials, EarlyView.
This mini‐review summarizes recent advances in state‐of‐the‐art proton and electron conduction in framework materials that can be remotely and reversibly switched on and off by light. It discusses the various photoswitching conduction mechanisms and the strategies employed to enhance photoswitched conductivity.
Helmy Pacheco Hernandez   +4 more
wiley   +1 more source

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