Results 71 to 80 of about 9,186,862 (308)
Advanced Materials, EarlyView.A novel W2TiC2Tx MXene prepared through a MAX‐phase route supports sub‐nanometer Co for highly efficient alkaline hydrogen evolution. Strong Co–W interfacial interactions optimize hydrogen adsorption and catalytic activity, enabling low overpotentials of 63 mV at 10 mA cm−2, small Tafel slope of 44.3 mV dec−1, and exceptional durability at industrially
Xiaopeng Liu +15 more
wiley +1 more source
Repdigits as Euler functions of Lucas numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 We prove some results about the structure of all Lucas numbers whose Euler function is a repdigit in base 10. For example, we show that if Ln is such a Lucas number, then n < 10111 is of the form p or p2, where p3 | 10p-1 -1.
Bravo Jhon J. +3 more
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Fast Hydrogel Micro‐Actuators Driven by Electric Fields
Advanced Materials, EarlyView.We report the fabrication of chemically programmable electroactuating microstructures through the first integration of two‐photon polymerization with electrically actuated gelatin methacrylate‐based hydrogels. By tailoring the charge of the polymer network, we demonstrate programmable polarity‐dependent bending, enabling microstructures that ...
Annaël Sort‐Montenegro +6 more
wiley +1 more source
Advanced Materials Interfaces, EarlyView.PEG‐guided mitochondrial surface engineering supports structural stabilization and controlled presentation of cell‐penetrating peptides. CPP–PEG‐modified mitochondria exhibit enhanced cellular uptake and uptake‐associated respiratory modulation, providing a proof‐of‐concept framework for modular organelle engineering and future bioenergetic modulation ...
Masahiro Shiraishi +9 more
wiley +1 more source
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
wiley +1 more source
Fibonacci and Lucas identities derived via the golden ratio [PDF]
Electronic Journal of Mathematics, 2022 Kunle Adegoke
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Mulatu Numbers That Are Concatenations of Two Lucas Numbers
Afyon Kocatepe University Journal of Sciences and Engineering, 2023 In this paper, we find that all Mulatu numbers, which are concatenations of two Lucas numbers are 11,17,73,118. Let 〖(M_k)〗_(k≥0) and 〖(L_k)〗_(k≥0) be the Mulatu and Lucas sequences. That is, we solve the Diophantine equation M_k=L_m L_n=10^d L_m+L_n in non-negative integers (k,m,n,d), where d denotes the number of digits of L_n.
openaire +3 more sources
Laser‐Induced Local De‐Doping in Organic Semiconductors
Advanced Materials Technologies, EarlyView.The polymer PBTTT‐C14 doped with the small molecule acceptor F4TCNQ is considered as a benchmark material system. Mask‐free, microscale patterning of the doping level via laser‐induced heating and sublimation of dopant molecules is shown. Controlling laser irradiance and swath spacing allows dopant level control with laser‐limited resolution, opening ...
Christian Rainer +5 more
wiley +1 more source
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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On the spectral norms of r-circulant matrices with the biperiodic Fibonacci and Lucas numbers
Journal of Inequalities and Applications, 2017 In this paper, we present new upper and lower bounds for the spectral norms of the r-circulant matrices Q=Cr((ba)ξ(1)2q0,(ba)ξ(2)2q1,(ba)ξ(3)2q2,…,(ba)ξ(n)2qn−1) $Q=C_{r} ( (\frac{b}{a} )^{\frac{\xi (1)}{2}}q_{0}, (\frac{b}{a} )^{\frac{\xi(2)}{2}}q_{1}, (
Cahit Köme, Yasin Yazlik
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