Results 61 to 70 of about 2,638,059 (271)
Abstract Standardised tests of academic basic skills are an established feature of contemporary Australian schooling. Assessment results are widely reported and directly influence educational policymaking. Furthermore, Australian national educational priorities are linked to educational system accountability via the results of standardised tests. Given
Sally A. Larsen
wiley +1 more source
Inner derivations of alternative algebras over commutative rings
We define Lie multiplication derivations of an arbitrary non-associative algebra A over any commutative ring and, following McCrimmon [15], describe them completely if A is alternative.
O. Loos, Holger P. Petersson, M. Racine
semanticscholar +1 more source
Roadmap on Weak Measurements in Optics
Quantum weak measurements have attracted considerable recent attention for both addressing fundamental questions in quantum mechanics and for numerous potential applications. This review aims to compile both the fundamental aspects and the ongoing metrological applications of weak measurements in the domain of quantum and classical optics in a concise ...
Ritwik Dhara+3 more
wiley +1 more source
Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials
The weighted Lq‐norms of orthogonal polynomials are determined when q and the polynomial's parameter tend to infinity. They are given in this work by the leading term of the q and parameter asymptotics of the corresponding quantities of the associated probability density. These results are not only interesting per se, but also because they control many
Nahual Sobrino, Jesus S. Dehesa
wiley +1 more source
Poincare-Birkhoff-Witt Theorems [PDF]
We sample some Poincare-Birkhoff-Witt theorems appearing in mathematics. Along the way, we compare modern techniques used to establish such results, for example, the Composition-Diamond Lemma, Groebner basis theory, and the homological approaches of ...
Shepler, Anne V., Witherspoon, Sarah
core +1 more source
Down–Up Algebras and Ambiskew Polynomial Rings☆
We show that the down–up algebras of G. Benkart (1998, in “Recent Progress in Algebra,” Contemporary Mathematics Vol. 224, Am. Math. Soc., Providence) and G. Benkart and T. Roby (1998, J.
D. Jordan
semanticscholar +1 more source
Prerequisite Relations Annotation Tool: Annotation and analysis of educational relations in texts
Abstract Relations between terms in texts have long been studied in linguistics and specialized knowledge domains, especially when occurring in educational materials like textbooks, where they play a crucial role in guiding instructional design and learning.
Chiara Alzetta, Ilaria Torre
wiley +1 more source
Benefits of Open Quantum Systems for Quantum Machine Learning
Quantum machine learning (QML), poised to transform data processing, faces challenges from environmental noise and dissipation. While traditional efforts seek to combat these hindrances, this perspective proposes harnessing them for potential advantages. Surprisingly, under certain conditions, noise and dissipation can benefit QML.
María Laura Olivera‐Atencio+2 more
wiley +1 more source
У статтi розглядається частково впорядкованi множини та їх зв’язок з булевими алгебрами та кiльцями. Представлено ряд тверджень, якi доцiльно вивчати при знайомствi з алгебраїчними структурами студентам фiзико-математичного факультету спецiальностi 014 Середня освiта (Iнформатика) в курсi дискретної математики.
openaire +1 more source
Abstract This article addresses the cooperative output consensus tracking problem for high‐order heterogeneous multi‐agent systems via a distributed proportional‐integral‐derivative (PID)‐like control strategy and proposes two novel control methodologies for the tuning of the control gains, which do not require any assumption and/or limitation on agent
Dario Giuseppe Lui+2 more
wiley +1 more source