Results 51 to 60 of about 2,717 (263)
The Proofs of Triangle Inequality Using Binomial Inequalities
European Journal of Pure and Applied Mathematics, 2018 In this paper, we introduce the different ways of proving the triangle inequality ku − vk ≤ kuk + kvk, in the Hilbert space. Thus, we prove this triangle inequality through the binomial inequality and also, prove it through the Euclidean norm. The first generalized procedure for proving the triangle inequality is feasible for any even positive ...
Barnes, Benedict +3 more
openaire +3 more sources
Business Strategy and the Environment, EarlyView.ABSTRACT Industry 5.0 has emerged to address the limitations of Industry 4.0 by emphasizing inclusive sustainability through environmentalism, human‐centricity, and resilience. However, its development faces barriers across technological, organizational, and social dimensions.
Mohammad Ali Beheshtinia +4 more
wiley +1 more source
Mathematical Properties of the Hyperbolicity of Circulant Networks
Advances in Mathematical Physics, 2015 If X is a geodesic metric space and x1,x2,x3∈X, a geodesic triangle T={x1,x2,x3} is the union of the three geodesics [x1x2], [x2x3], and [x3x1] in X.
Juan C. Hernández +2 more
doaj +1 more source
Causal analysis of extreme risk in a network of industry portfolios
Canadian Journal of Statistics, EarlyView.Abstract We provide a detailed review of causal dependence within the framework of max‐linear structural models. Such models express each node variable as a max‐linear function of its parental node variables in a directed acyclic graph (DAG) and some exogenous innovation.
Claudia Klüppelberg, Mario Krali
wiley +1 more source
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Experimental Genuine Tripartite Nonlocality in a Quantum Triangle Network
PRX Quantum, 2022 Quantum networks are the center of many of the recent advances in quantum science, not only leading to the discovery of new properties in the foundations of quantum theory but also allowing for novel communication and cryptography protocols.
Alessia Suprano +8 more
doaj +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Citizenship education and gender equality: A critique of action plans in Greek secondary schools
The Curriculum Journal, EarlyView.Abstract In the sociology of education, gender education follows current policies developed and promoted through citizenship education. The Sustainable Development Goals (SDGs) of the United Nations addressing global social inequalities include gender equality (SDG 5).
Aikaterini Peleki +1 more
wiley +1 more source
The Curriculum Journal, EarlyView.Abstract This study explored how lecturers in a post‐92 UK university conceptualise and enact decolonial curriculum principles within their teaching and programme design. Drawing on semi‐structured interviews with academic staff across multiple disciplines, the research adopts a qualitative, phenomenologically informed approach to examine the interplay
Reece Sohdi
wiley +1 more source
A closer look at law: human rights as multi-level sites of struggles over multi-dimensional equality
Utrecht Law Review, 2010 Conflicts in human rights today are often conflicts around religion and equality. They focus on headscarves, swimming lessons or prayer during school. To understand them better, we need to resist the temptation to reduce them to cases or clashes between ...
Susanne Baer
doaj +1 more source