Results 81 to 90 of about 101,413 (261)

On Askey’s extension of Clausen’s identity and its polynomial perturbation

Journal of Inequalities and Applications
The celebrated Clausen’s identity expresses the square of the Gauss hypergeometric series F 1 2 ( a , b ; a + b + 1 / 2 ; x ) ${}_{2}F_{1}(a,b;a+b+1/2;x)$ as a single hypergeometric F 2 3 ${}_{3}F_{2}$ series. Goursat showed in 1883 that replacing 1 / 2 $
Dmitrii Karp, Vinay Shukla
doaj   +1 more source

Thickness‐Programmable Opto‐Memristive Dynamics in 6‐In Wafer‐Scale Atomic‐Layer‐Controlled WS2 for Reservoir Computing

Advanced Functional Materials, EarlyView.
A 6‐in wafer‐scale atomic‐layer‐controlled tungsten disulfide (WS2) is achieved by combining plasma‐assisted synthesis with three‐gas reactive ion etching. Precise layer control enables tunable band‐gap evolution and pulse‐history‐dependent opto‐memristive dynamics.
Seongho Kim, Muyoung Kim, Junhyung Cho, Yeonho Choi, Gunhyoung Kim, Eunseo Go, Sooji Byun, Minchul Roh, Hyunwoo Shim, Jinhyoung Lee, Byeong‐Seon An, Ki Seok Kim, Seungwoo Song, Min Sup Choi, Taesung Kim, Taehyun Park, Hocheon Yoo, Hyeong‐U Kim   +17 more
wiley   +1 more source

Universal Conductance Fluctuations in Quantum Anomalous Hall Insulators

Advanced Materials, EarlyView.
Universal conductance fluctuations are observed in mesoscopic quantum anomalous Hall insulators. Two distinct fluctuation patterns are identified, arising from different interference processes of bulk and chiral edge states, respectively. These findings unveil rich quantum interference phenomena in quantum anomalous Hall insulators and provide insights
Peng Deng, Peng Zhang, Gang Qiu, Ting‐Hsun Yang, Chang Niu, Yaochen Li, Wenqiang Cui, Yang Feng, Peide D. Ye, Ke He, Kai Chang, Kang L. Wang   +11 more
wiley   +1 more source

M-Polynomial and Topological Indices of Benzene Ring Embedded in P-Type Surface Network

Journal of Chemistry, 2019
The representation of chemical compounds and chemical networks with the M-polynomials is a new idea, and it gives nice and good results of the topological indices.
Hong Yang, A. Q. Baig, W. Khalid, Mohammad Reza Farahani, Xiujun Zhang   +4 more
doaj   +1 more source

M-polynomial Based Mathematical Formulation of the Hyperbolic Sombor Index

CoRR
The numerical values extracted from a graph that indicates its topology are called topological indices. A contemporary and efficient method is to compute a graph's topological indices using the graph polynomial that corresponds to it. This method of identifying degree-based topological indices involves the use of the M-polynomial.
Jayjit Barman, Shibsankar Das
openaire   +2 more sources

Resistance to Overdoping Allows Over 2000 S cm−1 Conductivity in P(g3BTTT) With Anion‐Exchange Doping

Advanced Materials, EarlyView.
Anion‐exchange doping of conjugated polymers is an effective way to achieve high conductivities. Here, we report over 2000 S cm−1 electrical conductivity for doped P(g3BTTT). In addition, we show that P(g3BTTT) sustains exceptionally high doping levels without any drop in the charge mobility.
Basil Hunger, Maximilian M. Horn, Eva Röck, Diego Rosas Villalva, Lize Bynens, Jochen Vanderspikken, Christina Kousseff, Silène Gobeil, Olivier Bardagot, Nesibe Akmanşen‐Kalayci, Sarah H. Tolbert, Iain McCulloch, Wouter Maes, Demetra Tsokkou, Natalie Banerji   +14 more
wiley   +1 more source

Applications of magnesium iodide structure via modified-polynomials

Scientific Reports
A relatively recent approach in molecular graph theory for analyzing chemical networks and structures is called a modified polynomial. It emphasizes the characteristics of molecules through the use of a polynomial-based procedure and presents numerical ...
Haleemah Ghazwani, Muhammad Kamran Jamil, Ali Ahmad, Muhammad Azeem, Ali N. A. Koam   +4 more
doaj   +1 more source

On permutation polynomials over finite fields

International Journal of Mathematics and Mathematical Sciences, 1987
A polynomial f over a finite field F is called a permutation polynomial if the mapping F→F defined by f is one-to-one. In this paper we consider the problem of characterizing permutation polynomials; that is, we seek conditions on the coefficients of a ...
R. A. Mollin, C. Small
doaj   +1 more source

Descriptors to Dynamics: A Materials and Device Perspective on in‐Materio Physical Reservoir Computing for Neuromorphic Edge Intelligence

Advanced Materials, EarlyView.
Intrinsic material dynamics are harnessed as computational resources for neuromorphic in‐materio physical reservoir computing. Defects, ionic motion, interfaces, percolation, geometry, and biasing shape transient states that provide fading memory, nonlinearity, and high‐dimensional projection for simple readout. A descriptor‐to‐dynamics framework links
Kshitij RB Singh, Alif Syafiq Kamarol Zaman, Muzhen Xu, Yuki Usami, Saptarshi Das, Hirofumi Tanaka   +5 more
wiley   +1 more source

Spin Transport Across Interfaces With the Non‐Collinear Antiferromagnet Mn3Sn

Advanced Materials, EarlyView.
We study spin transport with Mn3Sn|Metal${\rm Mn}_3{\rm Sn}\vert{\rm Metal}$ heterostructures. For Mn3Sn|Pt${\rm Mn}_3{\rm Sn}\vert{\rm Pt}$ heterostructures, ultrafast spin current generation by optical pumping of Mn3Sn${\rm Mn}_3{\rm Sn}$ is explored, while for Mn3Sn|NiFe${\rm Mn}_3{\rm Sn}\vert{\rm NiFe}$ heterostructures, we probe the spin–charge ...
Paul A. Marschall, Wolfgang Hoppe, Prajwal Rigvedi, Börge Göbel, Franziska Ziolkowski, Samir Lounis, Banabir Pal, Stuart S. P. Parkin, Georg Woltersdorf   +8 more
wiley   +1 more source