Search Results - "Tracy, Craig"

Integral Formulas for the Asymmetric Simple Exclusion Process by Tracy, Craig A., Widom, Harold

“…In this paper we obtain general integral formulas for probabilities in the asymmetric simple exclusion process (ASEP) on the integer lattice with nearest…”
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Table Mountain Delta: Reflect. Connect. Be inspired by Craig, Tracy S., Blackman, Claire, Oates, Greg

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Forced to improve: open book and open internet assessment in vector calculus by Craig, Tracy S., Akkaya, Tugce

“…Calculus is traditionally tested, at least in part, by a closed book written examination taken under secure conditions. In March 2020, two-thirds of the way…”
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On the Asymmetric Simple Exclusion Process with Multiple Species by Tracy, Craig A., Widom, Harold

“…In previous work the authors, using the Bethe Ansatz, found for the N -particle asymmetric simple exclusion process on the integers a formula—a sum of multiple…”
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Design principles for final answer assessment in linear algebra: implications for digital testing by Veale, Alisa J, Craig, Tracy S

“…Digital testing, such as multiple-choice questions and final answer items, offers many advantages in higher educational assessment practices. Well-designed…”
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The Bose Gas and Asymmetric Simple Exclusion Process on the Half-Line by Tracy, Craig A., Widom, Harold

“…In this paper we find explicit formulas for: (1) Green’s function for a system of one-dimensional bosons interacting via a delta-function potential with…”
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Challenging assumptions of notational transparency: the case of vectors in engineering mathematics by Craig, Tracy S.

“…The notation for vector analysis has a contentious nineteenth century history, with many different notations describing the same or similar concepts competing…”
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The unexpected consequences of replacing corridor chats with an online community of practice by Campbell, Anita L., Craig, Tracy S., Mofolo-Mbokane, Batseba, Padayachee, Pragashni

“…We are four academics teaching mathematics at three different higher education institutions over two continents. Through fortnightly meetings to research how…”
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The pearcey process by TRACY, Craig A, WIDOM, Harold

“…The extended Airy kernel describes the space-time correlation functions for the Airy process, which is the limiting process for a polynuclear growth model. The…”
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The Role of Expository Writing in Mathematical Problem Solving by Craig, Tracy S

“…Mathematical problem-solving is notoriously difficult to teach in a standard university mathematics classroom. The project on which this article reports aimed…”
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Nonintersecting Brownian Excursions by Tracy, Craig A., Widom, Harold

“…We consider the process of n Brownian excursions conditioned to be nonintersecting. We show the distribution functions for the top curve and the bottom curve…”
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On the Singularities in the Susceptibility Expansion for the Two-Dimensional Ising Model by Tracy, Craig A., Widom, Harold

“…For temperatures below the critical temperature, the magnetic susceptibility for the two-dimensional isotropic Ising model can be expressed in terms of an…”
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On orthogonal and symplectic matrix ensembles by Tracy, Craig A., Widom, Harold

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Conceptions of mathematics and student identity: implications for engineering education by Craig, Tracy S.

“…Lecturers of first-year mathematics often have reason to believe that students enter university studies with naïve conceptions of mathematics and that more…”
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Formulas for ASEP with Two-Sided Bernoulli Initial Condition by Tracy, Craig A., Widom, Harold

“…For the asymmetric simple exclusion process η t on the integer lattice with two-sided Bernoulli initial condition, we derive exact formulas for the following…”
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Categorization and analysis of explanatory writing in mathematics by Craig, Tracy S.

“…The aim of this article is to present a scheme for coding and categorizing students' written explanations of mathematical problem-solving activities. The…”
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Level-spacing distributions and the Airy kernel by TRACY, C. A, WIDOM, H

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Differential equations for Dyson processes by TRACY, Craig A, WIDOM, Harold

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Meeting the requirements of both classroom-based and systemic assessment of mathematics proficiency: The potential of Rasch measurement theory by Dunne, Tim, Long, Caroline, Craig, Tracy, Venter, Elsie

“…The challenges inherent in assessing mathematical proficiency depend on a number of factors, amongst which are an explicit view of what constitutes…”
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A Fredholm Determinant Representation in ASEP by Tracy, Craig A., Widom, Harold

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