Conventional work on scienti c discovery such as BACON derives empirical law equations from experimental data. In recent years, SDS introducing mathematical admissibility constraints has been proposed to discover rst principle based law equations, and it has been further extended to discover law equations from passively observed data. Furthermore, SSF has been proposed to discover the structure...

One of the main applications of Kolmogorov complexity ideas to data processing is via the Minimum Description Length principle (see, e.g., 1, 11, 13] and references therein). According to this principle, if several diierent models (or theories) are consistent with the same observations, then we should choose a model with the shortest description, i.e., crudely speaking, a model with the smalles...

We investigated the processing of pronouns in Strong and Weak Crossover constructions as a means of probing the extent to which the incremental parser can use syntactic information to guide antecedent retrieval. In Experiment 1 we show that the parser accesses a displaced wh-phrase as an antecedent for a pronoun when no grammatical constraints prohibit binding, but the parser ignores the same w...

Abstract. In this paper, we consider anisotropic diffusion with decay, which takes the form α(x)c(x) − div[D(x)grad[c(x)]] = f(x) with decay coefficient α(x) ≥ 0, and diffusivity coefficient D(x) to be a second-order symmetric and positive definite tensor. It is well-known that this particular equation is a second-order elliptic equation, and satisfies a maximum principle under certain regulari...

a survey on the abundance and diversity of fish larvae along the iranian waters of the oman sea, extending from hormuz strait to gowatr bay, was carried out in 2009 (before and post monsoon). fish larva were collected by a bongo net (300 µ mesh size) and temperature, salinity, dissolved oxygen, ph, chlorophyll-a, clarity, nitrate, nitrite, silicate and sulfate by oceanic data recorder (ctd) and...

Abstract. Suppose that f is a function on Rn such that exp(a | · |)f and exp(b | · |)f̂ are bounded, where a, b > 0. Hardy’s Uncertainty Principle asserts that if ab > π, then f = 0, while if ab = π, then f = c exp(−a | · |). In this paper, we generalise this uncertainty principle to vector-valued functions, and hence to operators. The principle for operators can be formulated loosely by saying ...