On theories of random variables

We study theories of spaces of random variables: first, we consider random variables with values in the interval $[0,1]$, then with values in an arbitrary metric structure, generalising Keisler's randomisation of classical structures. We prove preservation and non-preservation results for model theoretic properties under this construction: i) The randomisation of a stable structure is stable. ii) The randomisation of a simple unstable structure is not simple. We also prove that in the randomised structure, every type is a Lascar type

Students Interested in Satellite Communications Can Gain an Edge in the Job Market by Studying Science and Theory

The mind has an extraordinary ability to see things that are hoped for, Arthur C. Clarke said in 1973. Years later he noted that it cost about $100, in terms of kilowatt-hours, to go to the moon, whereas it costs about a billion dollars the way we\u27ve done it. These two quotes from the grandfather of satellite communications and author of 2001: A SPACE ODYSSEY point to one of the primary qualities INTELSAT looks for in filling engineering positions: the ability to apply book knowledge to the practical aspects of satellite communications

Muscle synergies after stroke are correlated with perilesional high gamma.

Movements can be factored into modules termed "muscle synergies". After stroke, abnormal synergies are linked to impaired movements; however, their neural basis is not understood. In a single subject, we examined how electrocorticography signals from the perilesional cortex were associated with synergies. The measured synergies contained a mix of both normal and abnormal patterns and were remarkably similar to those described in past work. Interestingly, we found that both normal and abnormal synergies were correlated with perilesional high gamma. Given the link between high gamma and cortical spiking, our results suggest that perilesional spiking may organize synergies after stroke

Network monitoring in multicast networks using network coding

In this paper we show how information contained in robust network codes can be used for passive inference of possible locations of link failures or losses in a network. For distributed randomized network coding, we bound the probability of being able to distinguish among a given set of failure events, and give some experimental results for one and two link failures in randomly generated networks. We also bound the required field size and complexity for designing a robust network code that distinguishes among a given set of failure events

Entropy, Ergodicity and Stem Cell Multipotency

Populations of mammalian stem cells commonly exhibit considerable cell-cell variability. However, the functional role of this diversity is unclear. Here, we analyze expression fluctuations of the stem cell surface marker Sca1 in mouse hematopoietic progenitor cells using a simple stochastic model and find that the observed dynamics naturally lie close to a critical state, thereby producing a diverse population that is able to respond rapidly to environmental changes. We propose an information-theoretic interpretation of these results that views cellular multipotency as an instance of maximum entropy statistical inference.Comment: 6 pages, 3 figure

On the utility of network coding in dynamic environments

Many wireless applications, such as ad-hoc networks and sensor networks, require decentralized operation in dynamically varying environments. We consider a distributed randomized network coding approach that enables efficient decentralized operation of multi-source multicast networks. We show that this approach provides substantial benefits over traditional routing methods in dynamically varying environments. We present a set of empirical trials measuring the performance of network coding versus an approximate online Steiner tree routing approach when connections vary dynamically. The results show that network coding achieves superior performance in a significant fraction of our randomly generated network examples. Such dynamic settings represent a substantially broader class of networking problems than previously recognized for which network coding shows promise of significant practical benefits compared to routing

Do as I say, not as I do:a lexical distributional account of English locative verb class acquisition

Children overgeneralise verbs to ungrammatical structures early in acquisition, but retreat from these overgeneralisations as they learn semantic verb classes. In a large corpus of English locative utterances (e.g., the woman sprayed water onto the wall/wall with water), we found structural biases which changed over development and which could explain overgeneralisation behaviour. Children and adults had similar verb classes and a correspondence analysis suggested that lexical distributional regularities in the adult input could help to explain the acquisition of these classes. A connectionist model provided an explicit account of how structural biases could be learned over development and how these biases could be reduced by learning verb classes from distributional regularities

Hydraulic resistance in alluvial channels

An analytical study was conducted for the determination of the Weisbach resistance coefficient for flow in sand-bed straight channels. Available experimental data were reanalyzed based on dimensional analysis and fluid mechanics concepts. It was found that for flows having width to depth ratio greater than 5, there is a unique and systematic relationship among the Weisbach resistance coefficient f, the Froude number of the flow, and the sediment particle size to hydraulic radius ratio. The bed form which also is a dependent variable is also uniquely determined. For flow with Froude number less than 0.5 where its effect can be neglected, the resistance coefficient can be expressed as a function of the Reynolds number, sediment size to hydraulic radius ratio, and the sediment terminal fall velocity to shear velocity ratio. Application of the results for engineering purposes is also discussed. The technique for engineering applications of the results appear to be quite simple.U.S. Department of the InteriorU.S. Geological SurveyOpe