A continuum limit for dense networks

Differential equations on metric graphs model disparate phenomena, including electron localisation in semiconductors, low-energy states of organic molecules, random laser networks, pollution diffusion in cities, dense neuronal networks and vasculature. This article describes the continuum limit of the edgewise Laplace operator on metric graphs, where vertices fill a given space densely, and the edge lengths shrink to zero (e.g. a spider web filling in a unit disc). We derive a new, coarse-grained partial differential operator which depends on the embedding space and local graph structure and has interesting similarities and differences with the Riemannian Laplace-Beltrami operator. We highlight various subtleties of dense metric graph systems with several semi- and fully analytic examples

Yankee Rose

With Ukulele arrangement. Contains advertisements and/or short musical examples of pieces being sold by publisher.https://digitalcommons.library.umaine.edu/mmb-vp/7142/thumbnail.jp

Lenticular Galaxies and Their Environments

It is widely believed that lenticular (S0) galaxies were initially spirals from which the gas has been removed by interactions with hot cluster gas, or by ram-pressure stripping of cool gas from spirals that are orbiting within rich clusters of galaxies. However, problems with this interpretation are that: (1) Some lenticulars, such as NGC 3115, are isolated field galaxies rather than cluster members. (2) The distribution of flattening values of S0 galaxies in clusters, in groups and in the field are statistically indistinguishable. This is surprising because one might have expected most of the progenitors of field S0 galaxies to have been flattened late-type galaxies, whereas lenticulars in clusters are thought to have mostly been derived from bulge-dominated early-type galaxies. (3) It should be hardest for ram-pressure to strip massive luminous galaxies with deep potential wells. However, no statistically significant differences are seen between the luminosity distributions of early-type Shapley-Ames galaxies in clusters, groups and in the field. (4) Finally, both ram-pressure stripping and evaporation by hot intra-cluster gas would be most efficient in rich clusters. However, the small number of available data in the Shapley-Ames sample appears to show no statistically significant differences between the relative frequencies of dust-poor S0_1 and dust-rich S0_3 galaxies in clusters, groups and in the field. It is tentatively concluded that ram-pressure stripping, and heating by intra-cluster gas, may not be the only evolutionary channels that lead to the formation of lenticular galaxies. It is speculated that gas starvation, or gas ejection by active nuclei, may have play a major role in the formation of a significant fraction of all S0 galaxies.Comment: Astrophysical Journal, in pres

Deedle-Dee-Dee! Detroit

No cover arthttps://scholarsjunction.msstate.edu/cht-sheet-music/9059/thumbnail.jp

Finishing the euchromatic sequence of the human genome

The sequence of the human genome encodes the genetic instructions for human physiology, as well as rich information about human evolution. In 2001, the International Human Genome Sequencing Consortium reported a draft sequence of the euchromatic portion of the human genome. Since then, the international collaboration has worked to convert this draft into a genome sequence with high accuracy and nearly complete coverage. Here, we report the result of this finishing process. The current genome sequence (Build 35) contains 2.85 billion nucleotides interrupted by only 341 gaps. It covers ∼99% of the euchromatic genome and is accurate to an error rate of ∼1 event per 100,000 bases. Many of the remaining euchromatic gaps are associated with segmental duplications and will require focused work with new methods. The near-complete sequence, the first for a vertebrate, greatly improves the precision of biological analyses of the human genome including studies of gene number, birth and death. Notably, the human enome seems to encode only 20,000-25,000 protein-coding genes. The genome sequence reported here should serve as a firm foundation for biomedical research in the decades ahead

Yankee Rose

https://digitalcommons.library.umaine.edu/mmb-vp-copyright/3771/thumbnail.jp

Smiling crowds

Gift of Dr. Mary Jane Esplen.Featured with terrific success by Roy Dieterich [note]Piano vocal [instrumentation]B flat major [key]Moderato [tempo]Popular song ; foxtrot ballad [form/genre]Crowd, car, street ; Roy Dieterich (photograph) [illustration]Publisher's advertisement on back cover [note

Pick a rose in Picardy.

Gift of Dr. Mary Jane Esplen.Piano vocal ukulele banjo madola guitar [instrumentation]Gone are the skies of gray bright star still points the way [first line]I'll pick a rose for you in Picardy the night we meet again [first line of chorus]C major [key]Popular song [form/genre]Rose, woman, man, railing, water [illustration]Barbelle [engraver]Publisher's advertisement on front inside cover & back cover [note