Mesh

A mesh is a barrier made of connected strands of metal, fiber, or other flexible/ductile materials. A mesh is similar to a web or a net in that it has many attached or woven strands.

Types of mesh

Partition of an interval

In mathematics, a partition of an interval [a, b] on the real line is a finite sequence x = ( x_i ) of real numbers such that

In other terms, a partition of a compact interval I is a strictly increasing sequence of numbers (belonging to the interval I itself) starting from the initial point of I and arriving at the final point of I.

Every interval of the form [x_i, x_i+1] is referred to as a sub-interval of the partition x.

Refinement of a partition

Another partition of the given interval, Q, is defined as a refinement of the partition, P, when it contains all the points of P and possibly some other points as well; the partition Q is said to be “finer” than P. Given two partitions, P and Q, one can always form their common refinement, denoted P ∨ Q, which consists of all the points of P and Q, re-numbered in order.

Norm of a partition

The norm (or mesh) of the partition

is the length of the longest of these subintervals, that is

Applications

Partitions are used in the theory of the Riemann integral, the Riemann–Stieltjes integral and the regulated integral. Specifically, as finer partitions of a given interval are considered, their mesh approaches zero and the Riemann sum based on a given partition approaches the Riemann integral.

Medical Subject Headings

Medical Subject Headings (MeSH) is a comprehensive controlled vocabulary for the purpose of indexing journal articles and books in the life sciences; it serves as a thesaurus that facilitates searching. Created and updated by the United States National Library of Medicine (NLM), it is used by the MEDLINE/PubMed article database and by NLM's catalog of book holdings. MeSH is also used by ClinicalTrials.gov registry to classify which diseases are studied by trials registered in ClinicalTrials.gov.

MeSH was introduced in 1960, with the NLM's own index catalogue and the subject headings of the Quarterly Cumulative Index Medicus (1940 edition) as precursors. The yearly printed version of MeSH was discontinued in 2007 and MeSH is now available online only. It can be browsed and downloaded free of charge through PubMed. Originally in English, MeSH has been translated into numerous other languages and allows retrieval of documents from different languages.

Structure of MeSH

Angel (Angel album)

Angel is the first album by the rock band Angel. "Tower", the keyboard-heavy opening track, was used widely during the late 1970s and early 1980s by album rock radio stations in the USA for various advertising purposes. The track is also on K-SHE radio's Classic List. This album can be seen as representing the band's early progressive roots, with Helluva Band seeing the group starting to move towards an increasingly hard rock-oriented sound. Tracks 6-8 segue to form a 10-minute mini suite.

Track listing

Personnel

References

Angel (season 5)

The fifth and final season of the television series Angel, the spin-off of Buffy the Vampire Slayer, premiered on October 1, 2003 on The WB and concluded its 22-episode season and its television run on May 19, 2004. The season aired on Wednesdays at 9:00 pm ET. This was the first and only season of Angel to air following the finale of Buffy the Vampire Slayer.

Season synopsis

Because of You (Ne-Yo album)

Because of You is the second studio album by American recording artist Ne-Yo, released on April 25, 2007 by Def Jam Recordings in the United States. It features guest contributions from rapper Jay-Z on "Crazy" and singer Jennifer Hudson on "Leaving Tonight". Because of You debuted at number one on the Billboard 200 and Top R&B/Hip-Hop Albums charts, selling over 250,000 copies in its first week. Upon its release, the album received generally positive reviews from most music critics, based on an aggregate score of 74/100 from Metacritic. It won a Grammy Award for Best Contemporary R&B Album at the 2008 Grammy Awards.

Critical reception

The album has drawn mainly positive reviews, with Entertainment Weekly magazine noting, "Indeed, the album is an unmistakable attempt to channel [Michael Jackson's early work such as "Off the Wall"]...and the effort often pays off beautifully...Ne-Yo's lithe falsetto puts the many others who've been labeled Jackson-esque to shame." PopMatters.com called the album "a masterpiece of a record" and praised the title track's blend of "upbeat modern-day funk tempo, beautifully melodic backdrop and love-sick (in a good way) vocals...[it's] the perfect lead single off an album that is filled with number-one hits".Slant Magazine also compared the album's sensual ballads to Janet Jackson.