Browsing Waterloo Research by Title
Now showing items 1600-1619 of 2452
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On Specht's Theorem in UHF C*-algebras
(Elsevier, 2021-01-01)Specht’s Theorem states that two matrices Aand Bin 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 non-commuting variables xand y. In this article we examine to what extent ... -
On Specht's Theorem in UHF C⁎-algebras
(Elsevier, 2021-01-01)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 non-commuting variables x and y. In this article we examine to what ... -
On symmetric intersecting families of vectors
(Cambridge University Press, 2021-11)A family of vectors in [k]n is said to be intersecting if any two of its elements agree on at least one coordinate. We prove, for fixed k ≥ 3, that the size of any intersecting subfamily of [k]n invariant under a transitive ... -
On The Complexity Of The Evaluation Of Transient Extensions Of Boolean Functions
(World Scientific Publishing, 2012-01-01)Transient algebra is a multi-valued algebra for hazard detection in gate circuits. Sequences of alternating 0's and 1's, called transients, represent signal values, and gates are modeled by extensions of boolean functions ... -
On the evaluation of some sparse polynomials
(American Mathematical Society, 2018)We give algorithms for the evaluation of sparse polynomials of the form P=p0 + p1 x + p2 x^4 + ... + p_{n-1} x^{(N-1)^2} for various choices of coefficients . First, we take p_i=p^i, for some fixed p; in this case, we ... -
On the measurement of relative powder-bed compaction density in powder-bed additive manufacturing processes
(Elsevier, 2018-10-05)Experimental studies in the literature have identified the powder-bed compaction density as an important parameter, governing the quality of additively manufactured parts. For example, in laser powder-bed fusion (LPBF), ... -
On the number of irreducible factors with a given multiplicity in function fields
(Elsevier, 2023-12)Let k ≥ 1 be a natural number and f ∈ Fq[t] be a monic polynomial. Let ωk(f) denote the number of distinct monic irreducible factors of f with multiplicity k. We obtain asymptotic estimates for the first and the second ... -
On the Number of Trials Needed to Obtain k Consecutive Successes
(Elsevier, 2021-04-30)A sequence of independent Bernoulli trials, each of which is a success with probability p, is conducted. For k ∈ Z+, let Xk be the number of trials required to obtain k consecutive successes. Using techniques from elementary ... -
On the optimal CFL number of SSP methods for hyperbolic problems
(Elsevier, 2019-01-01)We show that the theory for strong stability preserving (SSP) time stepping methods employed with the method of lines-type discretizations of hyperbolic conservation laws may result in overly stringent time step restrictions. ... -
On the Road to Making Science of “Art”: Risk Bias in Market Scoring Rules
(The Institute for Operations Research and the Management Sciences, 2018-06)We study market scoring rule (MSR) prediction markets in the presence of risk-averse or risk-seeking agents that have unknown yet bounded risk preferences. It is well known that if agents can be prescreened, then MSRs can ... -
On the role of the microporous layer in PEMFC operation
(Elsevier, 2009-03-01)The condition of liquid water breakthrough at the cathode of polymer electrolyte fuel cells (PEMFC) is studied experimentally and data on corresponding water saturation and capillary pressure are provided for gas diffusion ... -
On the sensitivity of modelled groundwater recharge estimates to rain gauge network scale
(Elsevier, 2020-06-01)Rainfall is often the largest component of the water budget and even a small uncertainty percentage may lead to challenges for accurately estimating groundwater recharge as a calculated residual within a water budget ... -
On the spectrum of the Sylvester-Rosenblum operator acting on triangular algebras
(Ele-Math, 2020)Let A and B be algebras and M be an A -B-bimodule. For A ∈ A , B ∈B, we define the Sylvester-Rosenblum operator τA,B :M →M via τA,B(M) = AM+MB for all M ∈ M . We investigate the spectrum of τA,B in three settings, namely: ... -
On the TVD property of second order methods for 2D scalar conservation laws
(arXiv, 2021-10-05)The total variation diminishing (TVD) property is an important tool for ensuring nonlinear stability and convergence of numerical solutions of one-dimensional scalar conservation laws. However, it proved to be challenging ... -
On the use of physical boundary conditions for two-phase flow simulations: Integration of control feedback
(Elsevier, 2018-10-04)The sensitivity of two-phase flow simulations using the Euler–Euler model on the inlet boundary conditions (BCs) is studied. Specifically, the physical relevance of Dirichlet uniform inlet velocity BCs is studied which are ... -
On-chip cell lysis by antibacterial non-leaching reusable quaternary ammonium monolithic column
(Springer US: Biomedical Microdevices, 2015-12-16)Reusable antibacterial non-leaching monolithic columns polymerized in microfluidic channels designed for on-chip cell lysis applications were obtained by the photoinitiated free radical copolymerization of diallyldimethylammonium ... -
Once you get them, how do you keep them? Millennial librarians at work
(Emerald, 2010)Purpose: To draw attention to the unique characteristics of Millennial librarians. These characteristics are related to larger issues having current and future relevance to Millennial librarians, colleagues of other ... -
One box to search them all: Implementing federated search at an academic library
(Emerald, 2009)Purpose: The purpose of this paper is to present how, in May 2008, the Ad Hoc Committee on Federated Search was formed to prepare a preliminary report on federated searching for a special meeting of Librarians Academic ... -
One versus two eyes makes a difference! Early face perception is modulated by featural fixation and feature context
(Elsevier, 2018-12-01)The N170 event-related potential component is an early marker of face perception that is particularly sensitive to isolated eye regions and to eye fixations within a face. Here, this eye sensitivity was tested further by ... -
One-Dimensional Population Density Approaches To Recurrently Coupled Networks Of Neurons With Noise
(Society for Industrial and Applied Mathematics, 2015)Mean-field systems have been previously derived for networks of coupled, two-dimensional, integrate-and-fire neurons such as the Izhikevich, adapting exponential, and quartic integrate-and-fire, among others. Unfortunately, ...