Results 41 to 50 of about 254,556 (238)
Binomial coefficients, Catalan numbers and Lucas quotients
, 2010 Let $p$ be an odd prime and let $a,m$ be integers with $a>0$ and $m \not\equiv0\pmod p$. In this paper we determine $\sum_{k=0}^{p^a-1}\binom{2k}{k+d}/m^k$ mod $p^2$ for $d=0,1$; for example, $$\sum_{k=0}^{p^a-1}\frac{\binom{2k}k}{m^k}\equiv\left(\frac{m^
C. J. Smyth +13 more
core +3 more sources
Organic Thin‐Film Transistors for Neuromorphic Computing
Advanced Electronic Materials, EarlyView.Organic thin‐film transistors (OTFTs) are reviewed for neuromorphic computing applications, highlighting their power‐efficient, and biological time‐scale operation. This article surveys OFET and OECT devices, compares them with memristors and CMOS, analyzes how fabrication parameters shape spike‐based metrics, proposes standardized characterization ...
Luke McCarthy +2 more
wiley +1 more source
The terms in Lucas sequences divisible by their indices [PDF]
, 2009 For Lucas sequences of the first kind (u_n) and second kind (v_n) defined as usual for positive n by u_n=(a^n-b^n)/(a-b), v_n=a^n+b^n, where a and b are either integers or conjugate quadratic integers, we describe the set of indices n for which n divides
Smyth, Chris
core +4 more sources
Gessel–Lucas congruences for sporadic sequences
Monatshefte für Mathematik, 2023 17 ...
openaire +2 more sources
SciLitMiner: An Intelligent System for Scientific Literature Mining and Knowledge Discovery
Advanced Intelligent Systems, EarlyView.SciLitMiner is an intelligent system that federately ingests scientific literature, filters it using advanced information retrieval methods, and applies retrieval‐augmented generation tailored to scientific domains. Demonstrated on creep deformation in γ‐TiAl alloys, SciLitMiner provides a controlled workflow for systematic knowledge discovery and ...
Vipul Gupta +3 more
wiley +1 more source
The congruence of Wolstenholme and generalized binomial coefficients related to Lucas sequences [PDF]
, 2014 Using generalized binomial coefficients with respect to fundamental Lucas sequences we establish congruences that generalize the classical congruence of Wolstenholme and other related stronger congruences.Comment: 23 ...
Ballot, Christian
core
On Lucas Sequences Computation
Int'l J. of Communications, Network and System Sciences, 2010 This paper introduces an improvement to a currently published algorithm to compute both Lucas "sister" sequences Vk and Uk. The proposed algorithm uses Lucas sequence properties to improve the running time by about 20% over the algorithm published in [1].
openaire +1 more source
On the equilibrium in a discrete-time Lucas Model [PDF]
In this paper I study a discrete-time version of the Lucas model with the endogenous leisure but without physical capital. Under standard conditions I prove that the optimal human capital sequence is increasing.
Marius Boldea
core
American Journal of Medical Genetics Part A, EarlyView.ABSTRACT Marden–Walker syndrome (MWS; OMIM 248700) is an extremely rare congenital disorder characterized by multiple joint contractures, craniofacial dysmorphism, neurological abnormalities, and multisystem involvement. Although historically diagnosed on clinical grounds, only a few cases have been molecularly confirmed.
Guilherme Sotto Battiston +35 more
wiley +1 more source
The Politics of Framing the Student Problem: Inquiries Into Australian Civics Education, 2006–2024
Australian Journal of Social Issues, EarlyView.ABSTRACT Recurring debates about civics, the kinds of history that should, and should not, be taught in school, and ‘standards debates’ about the ‘basics’ typically follow on the heels of recurring moral panics about the ‘declining’ state of ‘our’ education system.
Patrick O'Keeffe +2 more
wiley +1 more source