1 C o m m e n t a r y Models have a habit of clinging to the boot-soles of ion channel biophysicists. Our primary electrophysiological recordings displayed in the Results section almost always presage a Discussion section replete with multi-state schemes: gating models, conduction models, hidden Markov models, straightforward models that enlighten , opaque models that obfuscate, heuristic model...

The transition from the ordered commensurate phase to the incommensurate gaussian phase of the antiferroelectric asymmetric six-vertex model is investigated by keeping the temperature constant below the roughening point and varying the external fields (h, v). In the (h, v) plane, the phase boundary is approached along straight lines δv = kδh, where (δh, δv) measures the displacement from the ph...

Currently, gene finding and RNA secondary structure prediction are performed separately. This is only valid if, for any DNA sequence the location of genes and corresponding RNA secondary structure can assumed to be independent. I develop methods that take a hidden Markov model for gene finding and a stochastic context-free grammar for RNA secondary structure prediction and from these, construct...

Currently, gene finding and RNA secondary structure prediction are performed separately. This is only valid if, for any DNA sequence the location of genes and corresponding RNA secondary structure can assumed to be independent. I develop methods that take a hidden Markov model for gene finding and a stochastic context-free grammar for RNA secondary structure prediction and from these, construct...

The free energy of the chiral Potts model has been obtained in two ways. The first used only the star-triangle relation, symmetries and invariances, and led to a system of equations that implicitly define the free energy, and from which the critical behaviour can be obtained. The second used the functional relations derived by Bazhanov and Stroganov, solving them to obtain the free energy expli...

This paper describes an algorithm for spoken language acquisition through a human-robot interface based on speech, vision, and behavior. In this algorithm the grounded language knowledge is represented by graphical statistical models consisting of hidden Markov models and stochastic context-free grammar. The learning of the lexicon is based on the independence between speech and visual features...

The introduction of a modulus z(K), analogous to u = 〈trφ2〉 in the N = 2 SUSY SU(2) gauge theory solved by Seiberg and Witten, and whose defining property is the invariance under the symmetry and duality transformations of the effective coupling K, reveals an intriguing correspondence between the D = 2 Ising and Potts models on the square lattice. The moduli spaces of both models, the spaces of...

Bulk carriers have an important role in international maritime transport. In this paper, we carried out a numerical study on a model of bulk carrier vessel and calculated total resistance of the model. A model of a bulk carrier vessel with length of 2.76 m, breadth of 0.403 m and draught of 0.173 m was selected for numerical modeling. Numerical work was done by commercial CFD software ANSY...

We introduce a new generative model for code called probabilistic higher order grammar (PHOG). PHOG generalizes probabilistic context free grammars (PCFGs) by allowing conditioning of a production rule beyond the parent non-terminal, thus capturing rich contexts relevant to programs. Even though PHOG is more powerful than a PCFG, it can be learned from data just as efficiently. We trained a PHO...