On a heuristic point of view concerning the motion of matter. From random metric to Schroedinger equation

The motion of a particle is studied in a random space-time. It is assumed that the velocity is small enough for the non-relativistic approximation to be valid. The randomness of the metric induces a diffusion in coordinate space. Hence it is shown that the evolution of the probability density is given by Schroedinger equation.Comment: 13 pages, minor changes, publication reference give

A Comparison Of Mission Statements Of National Blue Ribbon Schools And Unacceptable Texas High Schools

This study was conducted to determine the themes present in the context of high schools, to determine any significant differences in themes for high and low performing high schools, and to determine if significant differences were present for the same sample of high schools based on school size. An analysis of the content of mission statements identified 31 dominant themes: Students, Providing, All, Community, Learning, Academics, Developing, Responsible, Education, Environment, Preparing, Productive, Success, Lifelong Learning, Individual, Citizen, Excellence, Skills, Society, Committed, Promotes, Achievement, Diversity, Knowledge, Nature, Challenge, Future, Partnership, Quality, Potential, and Safe. Significant differences were found between the group of high and low performing high schools for the themes of Academics, Excellence, Challenge, Learning, Nurture, and Lifelong Learning (p ? .05). Analysis of mission statements grouped by size yielded a significant difference for the theme of Knowledge for large size high schools as compared to small and medium size high schools

Topography generation by melting and freezing in a turbulent shear flow

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A Noninvasive, Orally Stable, Mucosa-Penetrating Polyvalent Vaccine Platform Based on Hepatitis E Virus Nanoparticle

Hepatitis E virus nanoparticle (HEVNP) is an orally stable, mucosa-penetrating delivery platform for noninvasive, targeted delivery of therapeutic and diagnostic agents. HEVNP does not carry HEV genomic RNA and is incapable of replication. The key characteristics that make HEVNP an ideal and unique vehicle for diagnostic and therapeutic delivery include surface plasticity, resistance to the harsh environment of the gastrointestinal (GI) tract, significant payload capacity, platform sustainability, and safety. Furthermore, HEVNP is easily produced using currently available expression/purification technologies; can be easily formulated as a liquid, powder, or solid; and can be distributed (and stored) without the need for a temperature-controlled supply chain

Quantization from an exponential distribution of infinitesimal action

A statistical model of quantization based on an exponential distribution of infinitesimal action is proposed. Trajectory which does not extremize the action along an infinitesimal short segment of path is allowed to occur with a very small probability following an exponential law. Planck constant is argued to give the average deviation from the infinitesimal stationary action.Comment: 15 pages, accepted for publication in Physica

Coastal Tropical Convection in a Stochastic Modeling Framework

Recent research has suggested that the overall dependence of convection near coasts on large-scale atmospheric conditions is weaker than over the open ocean or inland areas. This is due to the fact that in coastal regions convection is often supported by meso-scale land-sea interactions and the topography of coastal areas. As these effects are not resolved and not included in standard cumulus parametrization schemes, coastal convection is among the most poorly simulated phenomena in global models. To outline a possible parametrization framework for coastal convection we develop an idealized modeling approach and test its ability to capture the main characteristics of coastal convection. The new approach first develops a decision algorithm, or trigger function, for the existence of coastal convection. The function is then applied in a stochastic cloud model to increase the occurrence probability of deep convection when land-sea interactions are diagnosed to be important. The results suggest that the combination of the trigger function with a stochastic model is able to capture the occurrence of deep convection in atmospheric conditions often found for coastal convection. When coastal effects are deemed to be present the spatial and temporal organization of clouds that has been documented form observations is well captured by the model. The presented modeling approach has therefore potential to improve the representation of clouds and convection in global numerical weather forecasting and climate models.Comment: Manuscript submitted for publication in Journal of Advances in Modeling Earth System

Stability of stationary solutions of the Schrodinger-Langevin equation

The stability properties of a class of dissipative quantum mechanical systems are investigated. The nonlinear stability and asymptotic stability of stationary states (with zero and nonzero dissipation respectively) is investigated by Liapunov's direct method. The results are demonstrated by numerical calculations on the example of the damped harmonic oscillator.Comment: revised, 12 pages, 7 figure