Four lectures on secant varieties

This paper is based on the first author's lectures at the 2012 University of Regina Workshop "Connections Between Algebra and Geometry". Its aim is to provide an introduction to the theory of higher secant varieties and their applications. Several references and solved exercises are also included.Comment: Lectures notes to appear in PROMS (Springer Proceedings in Mathematics & Statistics), Springer/Birkhause

Engineering egress data considering pedestrians with reduced mobility

To quantify the evacuation process, evacuation practitioners use engineering egressdata describing the occupant movement characteristics. These data are typicallybased to young and fit populations. However, the movement abilities of occupantswho might be involved in evacuations are becoming more variable—with the buildingpopulations of today typically including increasing numbers of individuals: withimpairments or who are otherwise elderly or generally less mobile. Thus, there willbe an increasing proportion of building occupants with reduced ability to egress. Forsafe evacuation, there is therefore a need to provide valid engineering egress dataconsidering pedestrians with disabilities. Gwynne and Boyce recently compiled aseries of data sets related to the evacuation process to support practitioner activitiesin the chapter Engineering Data in the SFPE Handbook of Fire Protection Engineering.This paper supplements these data sets by providing information on and presentingdata obtained from additional research related to the premovement and horizontalmovement of participants with physical-, cognitive-, or age-related disabilities. Theaim is to provide an overview of currently available data sets related to, and keyfactors affecting the egress performance of, mixed ability populations which could beused to guide fire safety engineering decisions in the context of building design

Molecular biogeography of planktonic and benthic diatoms in the Yangtze River

Background: Diatoms are of great significance to primary productivity in oceans, yet little is known about their biogeographic distribution in oligotrophic rivers. Results: With the help of metabarcoding analysis of 279 samples from the Yangtze River, we provided the first integral biogeographic pattern of planktonic and benthic diatoms over a 6030 km continuum along the world's third largest river. Our study revealed spatial dissimilarity of diatoms under varying landforms, including plateau, mountain, foothill, basin, foothill-mountain, and plain regions, from the river source to the estuary. Environmental drivers of diatom communities were interpreted in terms of photosynthetically active radiation, temperature, channel slope and nutrients, and human interference. Typical benthic diatoms, such as Pinnularia, Paralia, and Aulacoseira, experienced considerable reduction in relative abundance downstream of the Three Gorges Dam and the Xiluodu Dam, two of the world's largest dams. Conclusions: Our study revealed that benthic diatoms are of particular significance in characterizing motile guild in riverine environments, which provides insights into diatom biogeography and biogeochemical cycles in large river ecosystems