Browsing Department of Mathematics and Statistics by Title
Now showing items 61-73 of 73
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Squares and overlaps in the Thue-Morse sequence and some variants
(EDP Sciences, 2006)We consider the position and number of occurrences of squares in the Thue-Morse sequence, and show that the corresponding sequences are 2-regular. We also prove that changing any finite but nonzero number of bits in the ... -
Suffix conjugates for a class of morphic subshifts
(Cambridge University Press, 2015-09)Let A be a finite alphabet and f: A^* --> A^* be a morphism with an iterative fixed point f^\omega(\alpha), where \alpha{} is in A. Consider the subshift (X, T), where X is the shift orbit closure of f^\omega(\alpha) and ... -
Supporting Teachers in Times of Change: The Job Demands- Resources Model and Teacher Burnout During the COVID-19 Pandemic
(RedFame, 2020-10)Burnout in teachers has been broadly investigated, but no studies have investigated burnout in teachers during a pandemic. The current study is based on a survey of 1278 Canadian teachers and examined whether the Job ... -
Teachers' Voices: Pandemic Lessons for the Future of Education
(University of Windsor, 2021-05-26)In late 2019 and early 2020, governments around the world closed educational institutions due to the COVID-19 pandemic. A similar response occurred in Canada and resulted in a sudden pivot by teachers from classroom-based ... -
A Ternary Square-free Sequence Avoiding Factors Equivalent to abcacba
(The Electronic Journal of Combinatorics, 2016-05-27)We solve a problem of Petrova, finalizing the classification of letter patterns avoidable by ternary square-free words; we show that there is a ternary square-free word avoiding letter pattern xyzxzyx. In fact, we characterize ... -
There are Ternary Circular Square-Free Words of Length n for n ≥ 18
(The Electronic Journal of Combinatorics, 2002-10-11)There are circular square-free words of length n on three symbols for n≥18. This proves a conjecture of R. J. Simpson. -
There Exist Binary Circular 5/2+ Power Free Words of Every Length
(The Electronic Journal of Combinatorics, 2004-01-23)We show that there exist binary circular 5/2+ power free words of every length. -
This is Us: Latent Profile Analysis of Canadian Teachers’ Burnout during the COVID-19 Pandemic
(Canadian Society for the Study of Education, 2022)During the initial wave of the COVID-19 pandemic, 1,930 Canadian teachers were surveyed about their burnout and resilience levels, as well as their job demands and resources. Latent profile analysis revealed that teachers ... -
Transformational Leadership Approaches and Their Influence on Teacher Resilience During the COVID-19 Pandemic
(North American Business Press, 2022)With stress documented beyond inherent levels in our initial research with Canadian teachers during the COVID-19 pandemic, this case study moves beyond the consideration of individual strategies to reduce burnout, toward ... -
Unary patterns under permutations
(Elsevier, 2018-06-04)Thue characterized completely the avoidability of unary patterns. Adding function variables gives a general setting capturing avoidance of powers, avoidance of patterns with palindromes, avoidance of powers under coding, ... -
Vertex-transitive self-complementary uniform hypergraphs of prime order
(Discrete Mathematics, 2009-09)For an integer n and a prime p, let n(p)=max{i:pidividesn}. In this paper, we present a construction for vertex-transitive self-complementary k-uniform hypergraphs of order n for each integer n such that pn(p)≡1(mod2ℓ+1) ... -
Words with many palindrome pair factors
(The Electronic Journal of Combinatorics, 2015-10-30)Motivated by a conjecture of Frid, Puzynina, and Zamboni, we investigate infinite words with the property that for infinitely many n, every length-n factor is a product of two palindromes. We show that every Sturmian word ... -
Words without Near-Repetitions
(Canadian Mathematical Society, 1992-06-01)We find an infinite word w on four symbols with the following property: Two occurrences of any block in w must be separated by more than the length of the block. That is, in any subword of w of the form xyx, the length of ...
