Results 101 to 110 of about 625,251 (324)
Melham's Conjecture on Odd Power Sums of Fibonacci Numbers
, 2015 Ozeki and Prodinger showed that the odd power sum of the first several consecutive Fibonacci numbers of even order is equal to a polynomial evaluated at certain Fibonacci number of odd order.
Sun, Brian Y. +2 more
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Advanced Science, EarlyView.Synaptic vesicle (SV) motion and exocytosis dynamics in the presynaptic terminals of live neurons are intimately linked to synaptic transmission during neuronal activity. In this work, it is revealed that, during electrical stimulation, SVs located farther from their fusion sites exhibit greater straightness and experience larger mean forces directed ...
Gyunam Park +7 more
wiley +1 more source
Material‐Induced Nuclear Deformation Controls Chromatin Architecture in Adipose Stem Cells
Advanced Science, EarlyView.Tuning cell and cytoskeleton mechanics modulated nuclear shape and heterochromatin organization in ASCs. Distinct cytoskeletal architectures induced nuclear morphologies from oblate to prolate ellipsoids. Large elongated cells with a structured actin cap exhibited high nuclear strain, driving nuclear envelope deformation and heterochromatin ...
Carlo F. Natale +6 more
wiley +1 more source
Annales Mathematicae SilesianaeWe develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our expressions are inferred from some trigonometric identities.
Adegoke Kunle +2 more
doaj +1 more source
A new approach to Fibonacci Tessarines with Fibonacci and Lucas number components
, 2021 Faik Babadağ, Merve USLU
openalex +2 more sources
Practical numbers in Lucas sequences [PDF]
Quaestiones Mathematicae, 2018 A practical number is a positive integer n such that all the positive integers m ≤ n can be written as a sum of distinct divisors of n. Let (un)n≥0 be the Lucas sequence satisfying u0 = 0, u1 = 1, and un+2 = aun+1 + bun for all integers n ≥ 0, where a and b are fixed nonzero integers. Assume a(b + 1) even and a 2 + 4b > 0.
openaire +2 more sources
Advanced Science, EarlyView.A comprehensive technology platform enables high‐fidelity, volumetric MALDI imaging of 3D cell cultures by integrating custom embedding molds, a semi‐automated computational framework for 3D reconstruction, voxel‐instead of pixel‐based biomarker discovery, and immersive mixed reality data exploration.
Stefania Alexandra Iakab +16 more
wiley +1 more source
Imperfection in Semiconductors Leading to High Performance Devices
Advanced Science, EarlyView.Crystalline perfection is typically pursued in semiconductors to enhance device performance. However, through modeling and experimental work, we show that defects can be strategically employed in a specific detection regime to increase sensitivity to extreme values. GaN diodes are demonstrated to effectively detect high‐energy proton beams at fluxes as
Jean‐Yves Duboz +8 more
wiley +1 more source
Cubic binomial Fibonacci sums [PDF]
Electronic Journal of Mathematics, 2021 Kunle Adegoke +2 more
doaj +1 more source
Advanced Science, EarlyView.Doehl et al. discovered an adaptive neuroimmune mechanism that induces itch in tick‐exposed guinea pigs, enabling rapid tick removal. This itch‐induced tick removal (IITR) is mediated by an adaptive cellular immune response and is independent of IgG, IgE, or TRPV1.
Johannes S. P. Doehl +27 more
wiley +1 more source