Results 111 to 120 of about 10,192,155 (339)
Fibonacci and Lucas identities derived via the golden ratio [PDF]
Electronic Journal of Mathematics, 2022 Kunle Adegoke
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Advanced Materials, EarlyView.Dielectric dual gradient metasurfaces supporting quasi‐bound‐states‐in‐the‐continuum are leveraged to spatially encode both the spectral and coupling parameter space and demonstrate ultra‐strong coupling to an epsilon‐near‐zero mode in an ultra‐thin SiO2 layer.The platform achieves exceptional mode overlap, reaching a normalized coupling strength of η =
Enrico Baù +7 more
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Restricted partitions and convex topologies
AIMS MathematicsLet $ X_{n} $ be a finite set. We consider two types of sequences of restricted partitions of $ X_n $, namely, the number of order consecutive partitions of $ X_{n} $ into $ k $ parts, denoted $ N_{oc}(n, k) $ and the sequence $ T(n, k) $ of the number ...
Moussa Benoumhani
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Abstract and Applied Analysis, 2014 Circulant matrices may play a crucial role in solving various differential equations. In this paper, the techniques used herein are based on the inverse factorization of polynomial.
Tingting Xu, Zhaolin Jiang, Ziwu Jiang
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Giant Berry‐phase‐Driven X‐Ray Beam Translations in Strain‐Engineered Semiconductor Crystals
Advanced Materials, EarlyView.Due to the Berry‐phase effect, X‐rays propagating in deformed crystals undergo large translations, interesting for X‐ray optics applications. Here, the lattice expansion observed upon H irradiation of dilute‐nitride semiconductors is exploited to engineer the deformation landscape of selectively hydrogenated GaAsN epilayers.
Marco Felici +9 more
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Generalized Bernoulli Numbers and a Formula of Lucas
The Fibonacci Quarterly, 2015 An overlooked formula of E. Lucas for the generalized Bernoulli numbers is proved using generating functions. This is then used to provide a new proof and a new form of a sum involving classical Bernoulli numbers studied by K. Dilcher. The value of this sum is then given in terms of the Meixner-Pollaczek polynomials.
Moll, Victor H., Vignat, Christophe
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An Injection‐Molded Modified Silicone Rubber for Cancer‐on‐Chip Applications
Advanced Materials Technologies, Volume 10, Issue 6, March 18, 2025.This study describes the characterization and application of an injection‐molded functionalized PDMS fluidic insert for the commercially available Micronit system. Modified PDMS can accommodate cell culture and is able to covalently bind proteins for long‐lasting coatings under flow‐conditions.
Ben J. Haspels +7 more
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The imperfect Fibonacci and Lucas numbers [PDF]
Irish Mathematical Society Bulletin, 2009 A perfect number is any positive integer that is equal to the sum of its proper divisors. Several years ago, F. Luca showed that the Fibonacci and Lucas numbers contain no perfect numbers. In this paper, we alter the argument given by Luca for the nonexistence of both odd perfect Fi- bonacci and Lucas numbers, by making use of an 1888 result of C ...
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Advanced Materials Technologies, EarlyView.The article overviews past and current efforts on caloric materials and systems, highlighting the contributions of Ames National Laboratory to the field. Solid‐state caloric heat pumping is an innovative method that can be implemented in a wide range of cooling and heating applications.
Agata Czernuszewicz +5 more
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17 lectures in Fermat numbers: from number theory to geometry, by Michal Krizek, Florian Luca, Lawrence Somer. Pp.257. £49. 2002. ISBN 0 387 95332 9 (Springer- Verlag). [PDF]
, 2003 Gerry Leversha
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