Results 61 to 70 of about 248,402 (331)

Magic numbers in the music of Sofia Gubaidulina [PDF]

open access: yesMuzikologija, 2002
Sofia Gubaidulina's compositions are characterized by a special kind of symbolism and constructivism both based on numbers, i.e. mathematical proportions. In almost all her works so-called numerical plots can be detected. The proportions of the Fibonacci
Tsenova Valeria
doaj   +1 more source

On harmonic numbers and Lucas sequences [PDF]

open access: yesPublicationes Mathematicae Debrecen, 2012
Harmonic numbers $H_k=\sum_{05 we have $$\sum_{k=0}^{p-1}u_{k+ }H_k/2^k=0 (mod p),$$ where $ =0$ if p=1,2,4,8 (mod 15), and $ =1$ otherwise.
openaire   +3 more sources

Cell Calcification Models and Their Implications for Medicine and Biomaterial Research

open access: yesAdvanced Healthcare Materials, EarlyView.
Calcification, is the process by which the tissues containing minerals are formed, occurring during normal physiological processes, or in pathological conditions. Here, it is aimed to give a comprehensive overview of the range of cell models available, and the approaches taken by these models, highlighting when and how methodological divergences arise,
Luke Hunter   +5 more
wiley   +1 more source

Copper Lacus Sequence Spaces Associated With Operator Ideals and Their Geometric Properties

open access: yesJournal of Mathematics
In this research, we introduce the regular Copper Lucas matrix operator, which is based on the Copper Lucas sequence. We investigate the sequence spaces c0Γ and cΓ, as well as lpΓ for 1≤p≤∞, all of which are linked to the newly defined regular Copper ...
Shiva Shah   +3 more
doaj   +1 more source

On the prime density of Lucas sequences [PDF]

open access: yesJournal de Théorie des Nombres de Bordeaux, 1996
By the prime density of an integer sequences \((A_n)_{n \geq 0}\) we mean the natural density of the set of all prime numbers dividing \(A_n\) for some \(n \geq 0\). Let \(D>1\) be a square-free integer such that the real quadratic field \(\mathbb{Q} (\sqrt D)\) has a fundamental unit with norm \(-1\), and let \(\varepsilon\) be any unit of \(\mathbb{Q}
openaire   +2 more sources

Bone‐Derived dECM Hydrogels Support Tunable Microenvironments for In Vitro Osteogenic Differentiation

open access: yesAdvanced Healthcare Materials, EarlyView.
A tunable methacrylated decellularized bone matrix hydrogel (dECM‐MA) is developed to support 3D culture of human osteoblasts. The hydrogel preserves bone‐specific ECM cues and allows precise control over mechanical properties. This system provides a customizable platform for studying osteogenic differentiation and modeling bone tissue environments for
Minne Dekker   +5 more
wiley   +1 more source

Spatially Encoded Polaritonic Ultra‐Strong Coupling in Gradient Metasurfaces with Epsilon‐Near‐Zero Modes

open access: yesAdvanced 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
wiley   +1 more source

Copper ratio obtained by generalizing the Fibonacci sequence

open access: yesAIP Advances
In this study, we define a new generalization of the Fibonacci sequence that gives the copper ratio, and we will call it the copper Fibonacci sequence. In addition, inspired by the copper Fibonacci definition, we also define copper Lucas sequences, and ...
Engin Özkan, Hakan Akkuş
doaj   +1 more source

Powers in the Lucas sequence when the index is divisible by three [PDF]

open access: yes, 2011
In this paper the m-powers with m ≥ 2 included in the Lucas sequences when the index satisfies some conditions are ...
López González, M. Dolores   +1 more
core   +1 more source

An Injection‐Molded Modified Silicone Rubber for Cancer‐on‐Chip Applications

open access: yesAdvanced 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
wiley   +1 more source

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