Rewrite \(y = {x^2} - 6x + 11\) in the form \(y = {(x - b)^2} + c\). To get \(b\) (the number inside the bracket), halve the coefficient (number in front) of the second term in the original equation.

Abstract: This note addresses the jump linear quadratic problem of Markov jump linear systems and the associated algebraic Riccati equation. Necessary and sufficient conditions for stability of the ...

Vertex Pharmaceuticals has been a clear winner in the pharmaceutical sector. Over the past two decades, this powerhouse has ...

Earlier this month the Mathematics Institute at Uppsala University hosted a conference called Categorification in Algebra and Topology, clearly a theme close to our collective heart. As yet there are ...

In this paper, we consider the nonlinear stochastic wave equation driven by a space-time white noise. Via the techniques of the Malliavin calculus, we analyze the asymptotic behavior of the quadratic ...

Abstract: The partition function of the zero-field “Eight-Vertex” model on a square M by N lattice is calculated exactly in the limit of M, N large. This model includes the dimer, ice and zero-field ...