Results 61 to 70 of about 5,320 (265)

On Convolved Fibonacci Polynomials

Mathematics
This work delves deeply into convolved Fibonacci polynomials (CFPs) that are considered generalizations of the standard Fibonacci polynomials. We present new formulas for these polynomials. An expression for the repeated integrals of the CFPs in terms of
Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Anna Napoli   +2 more
doaj   +1 more source

Inversion formulas for Riemann-Liouville transform and its dual associated with singular partial differential operators

International Journal of Mathematics and Mathematical Sciences, 2006
We define Riemann-Liouville transform ℛα and its dual tℛα associated with two singular partial differential operators. We establish some results of harmonic analysis for the Fourier transform connected with ℛα.
C. Baccar, N. B. Hamadi, L. T. Rachdi
doaj   +1 more source

Mitigating Concentration Polarization in Dry‐Processed Ultra‐Thick Cathodes Using a Low‐Viscosity Electrolyte With Soft Li+ Solvation

Advanced Functional Materials, EarlyView.
A low‐viscosity, soft‐solvating methyl ethanoate (ME)‐based electrolyte facilitates electrolyte infiltration into dense dry‐processed ultra‐thick NCM622 cathodes while reducing Li+ desolvation barriers at Li‐metal anodes. Balanced cathode‐scale ion transport and anode‐side interfacial kinetics mitigate concentration polarization and interfacial ...
Jae Bin Park, Yewon Park, Ah Reum Choi, Chaerin Park, Seonhee Jo, Seongwook Chae, Taekyun Kwon, Ji‐Oh Kim, Ji‐Hoon Baik, Sung Hyun Kwon, Minjoon Park, Jin Hong Lee   +11 more
wiley   +1 more source

THE COMPLEX INVERSION FORMULA REVISITED [PDF]

Journal of the Australian Mathematical Society, 2008
AbstractWe give a simplified proof of the complex inversion formula for semigroups and, more generally, solution families for scalar-type Volterra equations, including the stronger versions on unconditional martingale differences (UMD) spaces. Our approach is based on (elementary) Fourier analysis.
openaire   +2 more sources

Mineral Deposition From Liquid Precursors Triggered by Complementary Polyelectrolytes

Advanced Functional Materials, EarlyView.
Polyelectrolyte additives can delay or prevent crystal nucleation in supersaturated solutions of insoluble mineral salts such as calcium carbonate. This work reports that adding a second, oppositely‐charged polyelectrolyte leads to immediate mineral crystallization from such metastable solutions.
Mohammed Kayes Patoary, Eli Halperin Pierce, Elizabeth Siu, Brigitte Gallagher, Md Abul Shahid, Yang Zhang, Thomas B. H. Schroeder   +6 more
wiley   +1 more source

Numerical Investigations on Wave Remote Sensing from Synthetic X-Band Radar Sea Clutter Images by Using Deep Convolutional Neural Networks

Remote Sensing, 2020
X-band marine radar is an effective tool for sea wave remote sensing. Conventional physical-based methods for acquiring wave parameters from radar sea clutter images use three-dimensional Fourier transform and spectral analysis.
Wenyang Duan, Ke Yang, Limin Huang, Xuewen Ma   +3 more
doaj   +1 more source

Inversion Formula

, 2010
This work introduces a new inversion formula for analytical functions. It is simple, generally applicable and straightforward to use both in hand calculations and for symbolic machine processing. It is easier to apply than the traditional Lagrange-Burmann formula since no taking limits is required.
openaire   +2 more sources

Inversion Formula for Continuous Multifractals

Advances in Applied Mathematics, 1997
In their previous paper [Adv. Appl. Math. 18, No. 1, 50-58 (1977; Zbl 0870.28004)] the authors introduced the inverse measure of a multifractal \(\mu\) and argued heuristically that their multifractal spectra are linked by the ``inversion formula''. In this paper, they establish rigorously the inversion formula for the Hausdorff, packing and coarse ...
Riedi, Rudolf H., Mandelbrot, Benoit
openaire   +3 more sources

Engineered Nanotopography to Modulate Growth and Signaling of Neuronal Networks

Advanced Functional Materials, EarlyView.
This study examines the interaction between neurons and nanoscale topographies on engineered substrates. Neurons cultured on nanowires, nanopillars and nanoneedles exhibit enhanced neurite outgrowth, form more organized neuronal circuits, and display improved synaptic connectivity, compared to flat substrates.
Hao Nguyen Tran, Kalyan Shobhana, Zlatan Trifunovic, Dan Smith, Michael Stuiber, Chennupati Jagadish, Mirella Dottori, Andrea J. O'Connor, Vini Gautam   +8 more
wiley   +1 more source

-Dimensional Fractional Lagrange's Inversion Theorem

Abstract and Applied Analysis, 2013
Using Riemann-Liouville fractional differential operator, a fractional extension of the Lagrange inversion theorem and related formulas are developed. The required basic definitions, lemmas, and theorems in the fractional calculus are presented.
F. A. Abd El-Salam
doaj   +1 more source