Category

Category, plural categories, may refer to:

Philosophy and general uses

Mathematics

Linguistics

Lusternik–Schnirelmann category

In mathematics, the Lyusternik–Schnirelmann category (or, Lusternik–Schnirelmann category, LS-category) of a topological space is the homotopical invariant defined to be the smallest integer number such that there is an open covering of with the property that each inclusion map is nullhomotopic. For example, if is the circle, this takes the value two.

Sometimes a different normalization of the invariant is adopted, which is one less than the definition above Such a normalization has been adopted in the definitive monograph by Cornea, Lupton, Oprea, and Tanré (see below).

In general it is not easy to compute this invariant, which was initially introduced by Lazar Lyusternik and Lev Schnirelmann in connection with variational problems. It has a close connection with algebraic topology, in particular cup-length. In the modern normalization, the cup-length is a lower bound for LS category.

It was, as originally defined for the case of X a manifold, the lower bound for the number of critical points that a real-valued function on X could possess (this should be compared with the result in Morse theory that shows that the sum of the Betti numbers is a lower bound for the number of critical points of a Morse function).

Grammatical category

A grammatical category is a property of items within the grammar of a language; it has a number of possible values (sometimes called grammemes), which are normally mutually exclusive within a given category. Examples of frequently encountered grammatical categories include tense (which may take values such as present, past, etc.), number (with values such as singular, plural, and sometimes dual), and gender (with values such as masculine, feminine and neuter).

Although terminology is not always consistent, a distinction should be made between these grammatical categories (tense, number, etc.) and lexical categories, which are closely synonymous with the traditional parts of speech (noun, verb, adjective, etc.), or more generally syntactic categories. Grammatical categories are also referred to as (grammatical) features.

The name given to a grammatical category (as an uncountable noun) is generally also used (as a countable noun) to denote any of the possible values for that category. For example, the values available in a given language for the category "tense" are called "tenses", the values available for the category "gender" are called "genders", and so on.

Zen+

Zen+ is the codename for an AMD microarchitecture that will eventually succeed Zen. According to AMD, Zen+ is expected to bring a slight increase in instructions per clock over Zen, but not nearly as large as the jump from Excavator to Zen.

References

Özen

Özen is a Turkish name, it may refer to:

See also

Zen (2007 film)

Zen is a 2007 drama-horror film written and directed by Gary Davis. Filmed in Florida, it was released and screened at a Boynton Beach, Florida cinema on April 12, 2007. The DVD was released in North America on April 13, 2007.

Plot

Set in 17th-Century Japan, "Zen" is the chronicle of a young samurai, Master Mitzu Zen, who learns the secret way of killing vampires while learning about women and life in general. Master Zen (Kit DeZolt), a naive master who doesn't know anything about women and love, goes on a quest to find out the truth about his parents' sacred sword. While meeting people along the way, he ends up running into more than he bargained for when he starts encountering vampires.

Cast

Count Osaka

Davis' 2009 film Count Osaka is a sequel to Zen, with DeZolt reprising his role as the original movie's title character. It premiered December 2, 2009. It aired as part of the first Royal Palm Independent Film Festival in early 2010.