In this report we consider a class of the integral matrices H p and a class of the spectral matrix characteristics p ; p 0. The report contains the proofs of their basic properties. Using these properties, we formulate criterion for a matrix spectrum to belong to the closed half-plane fRee 0g and prove theorems about qualitative properties of solutions of systems of ordinary diierential equatio...

This paper is devoted to a conditional stability estimate related to the ill-posed Cauchy problems for the Laplace’s equation in domains with C boundary. It is an extension of an earlier result of [19] for domains of class C. Our estimate is established by using a global Carleman estimate near the boundary in which the exponential weight depends on the distance function to the boundary. Further...

This paper is devoted to the explicit computation of generating series for the connection coefficients of two commutative subalgebras of the group algebra of the symmetric group, the class algebra and the double coset algebra. As shown by Hanlon, Stanley and Stembridge (1992), these series gives the spectral distribution of some random matrices that are of interest to statisticians. Morales and...

Student success is facilitated by strong bonds between families and schools, including a shared sense of purpose and mutual trust. However, for Indigenous peoples these relationships are often broken, undermined by the legacy of residential schooling and assimilative educational practices. Drawing on interviews with 50 Indigenous (mainly Haudenosaunee, Anishinaabe, and Métis) and non-Indigenous...

This article explores the similarities and differences between Canadian and Australian university teachers’ face-to-face and online teaching approaches and philosophies. It presents perspectives on teaching face-to-face and online in two comparable Canadian and Australian universities, both of which offer instruction in these two modes. The key research question was to determine if moving from ...