Topics include matrix calculus for finite and infinite matrices (e.g., Wigner's semi-circle and Marcenko-Pastur laws), free probability, random graphs, combinatorial methods, matrix statistics, stochastic operators, passage to the continuum limit, moment methods, and compressed sensing.
We propose a method for an efficient optimization of experimental designs, using a combination of discrete adjoint computations, Taylor arithmetic and matrix calculus.
The optimal order of HAZOP nodes can be determined by using the graph theory and the matrix calculus.
Taking advantage of the quadratic properties of the expression (25) and applying Matrix Calculus basis (see a detailed computation in [10]), the differentiation ∂ E ( m ) ∂ z ( m ) leads to ∂ E ( m ) ∂ z ( m ) = ∂ E ( m ) ∂ x ^ ( m ) = - H a T e ( m ) + λ D a T Ω ( m ) r ( m ) (30).
We express mortality in terms of a Markov chain model, and apply matrix calculus to compute the sensitivity of age-specific variance trends to the changes in Siler model parameters.
We will do this by describing longevity with an absorbing Markov chain model and applying newly-developed matrix calculus methods (e.g., Caswell 2006, 2008, 2009, 2010; van Raalte and Caswell 2013).
Matrix calculus generalizes classical analytical notions such as derivatives and exponentials to higher dimensions.
Our methods rely on matrix calculus, as used by Caswell (2006, 2008, 2013, van Raalte and Caswell 2013).
But I imagine a physicist, especially Heisenberg, whom the play makes clear worked extensively with matrix calculus, wouldn't think it was that big a deal.
