We present low-rank methods for event detection. We assume that normal observation come from a low-rank subspace, prior to being corrupted by a uniformly distributed noise. Correspondingly, we aim at recovering a representation of the subspace, and perform event detection by running point-to-subspace distance query in `∞, for each incoming observation. In particular, we use a variant of matrix ...

Let T be a complete first order theory in a language L satisfying uniform finiteness and let TP be the model companion of T in an expanded language LP with a new unary predicate P . We show that: TP satisfies uniform finiteness; if T is an expansion of the theory of dense linear order then every cut definable in a model M of TP is definable in M L; and, if T is an expansion of the theory dense ...

This predicate1 has played a central role in the debate on the special composition question and on related metaphysical issues concerning the mereological structure of objects. In this note we show that the characterization in (1) is nonetheless inadequate. We do so by constructing a mereological model M where everything qualifies as composed of atoms even though some elements in the domain are...

We present in this paper an axiomatization of the structure of finite or infinite M -extended trees. This structure is an intuitive combination of the structure of finite or infinite trees with another structure M and expresses semantically an extension to trees of the model M . Having a structure M = (DM , FM , RM ), we define the structure of finite or infinite M -extended tree ExtM = (D, F, ...

We have left out negation. We regard ¬φ as a shorthand for φ→ ⊥. A sequent is a pair that packages together some assumptions and a conclusion. We write Γ ` φ for the sequent whose assumptions are the finite set of formulas Γ and whose conclusion is the formula φ. We call Γ the antecedent and φ the consequent of the sequent Γ ` φ. A sequent is satisfied in a model M iff either M |= φ or for some...

In this paper, we apply continuous review (S-1, S) policy for inventory control in a three-echelon supply chain (SC) including r identical retailers, a central warehouse with limited storage space, and two independent manufacturing plants which offer two kinds of product to the customer. The warehouse of the model follows (M/M/1) queue model where customer demands follow a Poisson probabilit...

the modified nrtl (m-nrtl) model is used to represent the excess gibbs free energy of aqueous (alcohol + electrolyte) solutions. in this work, the m-nrtl model previously developed for representation of vapor-liquid equilibria for (polymer + salt + water) systems has been extended to represent liquid-liquid equilibria of (alcohol + salt + water) systems. the proposed extension is a modified of ...

In this paper, we show that the Chapman-Kolmogorov formula could be used as a recursive formula for computing the m-step-ahead conditional density of a Markov bilinear model. The stationary marginal probability density function of the model may be approximated by the m-step-ahead conditional density for sufficiently large m.