Abstrac t Qualitative Process theory has been successfully used to model a variety of domain s and in exploring several qualitative reasoning tasks. However, there has been little explicit analysis of where and how it breaks down. The purpose of this paper is to look a t several ways in which QP theory (or implementations of it) currently fail in some way. Two concepts for classifying QP models...

Training a support vector machine (SVM) is usually done by mapping the underlying optimization problem into a quadratic programming (QP) problem. Unfortunately, high quality QP solvers are not readily available, which makes research into the area of SVMs difficult for the those without a QP solver. Recently, the Sequential Minimal Optimization algorithm (SMO) was introduced [1, 2]. SMO reduces ...

Although N is discrete in R, it is not discrete in Qp, and in fact has closure Zp. This raises the possibility of p-adically interpolating a sequence an, which is really a function n 7→ an on N, to a continuous function x 7→ ax with x ∈ Zp. Our basic question is this: when does a function f : N→ Qp extend to a continuous function Zp → Qp? We will look at some concrete examples, then see what a ...

The fact that human readers can learn about the physical world from textual descriptions leads to a number of interesting questions about the connections between our conceptual understanding of the physical world and how it is reflected in natural language. This thesis investigates some forms in which information about physical phenomena is typically expressed in natural language and how this k...

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We present preliminary numerical findings concerning measure synchronization in a pair of coupled Nonlinear Hamiltonian Systems (NLHS) derived from a Nonlinear Schrödinger Equation (NLSE). The dynamics of the two coupled NLHS were found to exhibit a transition to coherent invariant measure; their orbits sharing the same phase space as the coupling strength is increased. Transitions from quasipe...

The paper deals with a short presentation of the basic ideas concerning the multiparametric quadratic programming (mp-QP) problems. The model predictive control is considered also as particular mp-QP problem. Since the solutions to mp-QP problems can be expressed as piecewise affine linear functions of the state, a new implementation in terms of adaptive network-based fuzzy inference systems is...

Let Qp ⊆ L ⊆ K ⊆ Cp be a chain of complete intermediate fields where Qp ⊆ L is finite and K discretely valued. Let Z be a one dimensional finitely generated abelian locally L-analytic group and let ẐK be its rigid Kanalytic character group. Generalizing work of Lazard we compute the Picard group and the Grothendieck group of ẐK . If Z = o, the integers in L 6= Qp, we find Pic(ôK) = Zp which ans...