Waterloo Research: Recent submissions
Now showing items 120 of 2057

On Specht's Theorem in UHF C⁎algebras
(Elsevier, 20210101)Specht's Theorem states that two matrices A and B in Mn(C) are unitarily equivalent if and only if tr(w(A;A )) = tr(w(B;B )) for all words w(x; y) in two noncommuting variables x and y. In this article we examine to what ... 
Analysis of a pressurerobust hybridized discontinuous Galerkin method for the stationary NavierStokes equations
(Springer, 20190830)We present wellposedness and an a priori error analysis of the hybridized discontinuous Galerkin method for the stationary form of the NavierStokes problem proposed in (J Sci Comput, 76(3):1484{ 1501, 2018). This scheme ... 
Dispersing representations of semisimple subalgebras of complex matrices
(Elsevier, 20220601)In this paper we consider the problem of determining the maximum dimension of P?(A!B)P, where A and B are unital, semisimple subalgebras of the set Mn of n⇥n complex matrices, and P 2 M2n is a projection of rank n. We ... 
Linebased deep learning method for tree branch detection from digital images
(Elsevier, 202206)Preventive maintenance of power lines, including cutting and pruning of tree branches, is essential to avoid interruptions in the energy supply. Automatic methods can support this risky task and also reduce time consuming. ... 
Learning Trustworthy Web Sources to Derive Correct Answers and Reduce Health Misinformation in Search
(ACM, 202207)When searching the web for answers to health questions, people can make incorrect decisions that have a negative effect on their lives if the search results contain misinformation. To reduce health misinformation in search ... 
OFFDIAGONAL CORNERS OF SUBALGEBRAS OF L(Cn)
(Elsevier, 20201215)Let n ∈ N, and consider Cn equipped with the standard inner product. Let A ⊆ L(Cn) be a unital algebra and P ∈ L(Cn) be an orthogonal projection. The space L := P ⊥Aran P is said to be an offdiagonal corner of A, and L ... 
MATRIX ALGEBRAS WITH A CERTAIN COMPRESSION PROPERTY I
(Elsevier, 20210715)An algebra A of n × n complex matrices is said to be projection compressible if P AP is an algebra for all orthogonal projections P ∈ Mn(C). Analogously, A is said to be idempotent compressible if EAE is an algebra for all ... 
ALGEBRAIC DEGREE IN SPATIAL MATRICIAL NUMERICAL RANGES OF LINEAR OPERATORS
(American Mathematical Society, 20210720)We study the maximal algebraic degree of principal orthocompressions of linear operators that constitute spatial matricial numerical ranges of higher order. We demonstrate (amongst other things) that for a (possibly ... 
OPERATORS WHICH ARE POLYNOMIALLY ISOMETRIC TO A NORMAL OPERATOR
(American Mathematical Society, 20200115)Let H be a complex, separable Hilbert space and B(H) denote the algebra of all bounded linear operators acting on H. Given a unitarilyinvariant norm k · ku on B(H) and two linear operators A and B in B(H), we shall say ... 
A conceptual IoTbased earlywarning architecture for remote monitoring of COVID19 patients in wards and at home
(Elsevier, 202205)Due to the COVID19 pandemic, health services around the globe are struggling. An effective system for monitoring patients can improve healthcare delivery by avoiding inperson contacts, enabling earlydetection of severe ... 
Normal operators with highly incompatible offdiagonal corners
(Polish Academy of Sciences, 20200525)Let H be a complex, separable Hilbert space, and B(H) denote the set of all bounded linear operators on H. Given an orthogonal projection P∈B(H) and an operator D∈B(H), we may write D=[D1D3D2D4] relative to the decomposition ... 
Characteristics of quasistationary nearwall turbulence subjected to strong stable stratification in openchannel flows
(American Physical Society, 20200605)Characteristics of nearwall turbulence at quasistationarity under strong wall cooling are studied using direct numerical simulation of openchannel flow. It is shown that if turbulence reaches quasistationarity, then the ... 
Pathways of Influence: Understanding the Impacts of Philosophy of Science in Scientific Domains
(Springer, 20210322)Philosophy of science has the potential to improve scientific practice, science policy, and science education; moreover, recent research indicates that many philosophers of science think we ought to increase the broader ... 
A Framework for Analyzing Broadly Engaged Philosophy of Science
(Cambridge University Press, 20220101)Philosophers of science are increasingly interested in engaging with scientific communities, policy makers, and members of the public; however, the nature of this engagement has not been systematically examined. Instead ... 
Illustrating a new 'conceptual design pattern' for agentbased models of land use via five case studies—the MR POTATOHEAD framework
(Universidad de Valladolid, 2008)This chapter presents a "conceptual design pattern" (CDP) that represents key elements of standard ABM/LUCC models in a comprehensive logical framework and includes basic functionality and data often present in ABM/LUCC ... 
White Paper on OER: Seven Recommendations to Improve OER Uptake in Higher Education Institutions
(University of Waterloo Library, 2022)A qualitative study conducted with 13 faculty instructors at Waterloo on their interest, motivation, and use of OER informed seven recommendations made in this white paper. Recommendations are grouped in three categories: ... 
A Phase Model with Large Time Delayed Coupling
(Elsevier, 202010)We consider two identical oscillators with weak, time delayed coupling. We start with a general system of delay differential equations then reduce it to a phase model. With the assumption of large time delay, the resulting ... 
Stability, bifurcation and phaselocking of timedelayed excitatoryinhibitory neural networks
(AIMS Press, 202011)We study a model for a network of synaptically coupled, excitable neurons to identify the role of coupling delays in generating different network behaviors. The network consists of two distinct populations, each of which ... 
Normalized Connectomes Show Increased Synchronizability with Age through Their Second Largest Eigenvalue
(Society for Industrial and Applied Mathematics, 202101)The synchronization of different brain regions is widely observed under both normal and pathological conditions, such as epilepsy. However, the relationship between the dynamics of these brain regions, the connectivity ... 
The Impact of Small Time Delays on the Onset of Oscillations and Synchrony in Brain Networks
(Frontiers Publishing, 202107)The human brain constitutes one of the most advanced networks produced by nature, consisting of billions of neurons communicating with each other. However, this communication is not in realtime, with different communication ...