For a vector of explanatory variables x, the linear predictor is estimated by ... The predicted value and the confidence limits for Pr are obtained by back-transforming the corresponding measures for ...

The same thing would be true for the first function above, f(x) = x²: n² would equal n.This would be a weird mathematics indeed (there are algebras in which this happens for some nonunit ...

The theory of optimal control is connected with keeping a dynamical system at minimum cost. The situation where the system behavior is depicted by a set of linear differential equations and the cost ...

In this work, we explore the limits of finite-time distributed consensus through the intersection of graph filters and matrix function theory. We focus on algorithms capable to compute the consensus ...

Alexander Brudnyi, Small Amplitude Limit Cycles and the Distribution of Zeros of Families of Analytic Functions, Annals of Mathematics, Second Series, Vol. 154, No. 2 (Sep., 2001), pp. 227-243 Free ...

Hence, our system operates close to its thermodynamic linear sensing limit, ... Figure 2c shows the frequency response of modes 1 and 2 to a triangular wave function applied to the control beam.