Level set

In mathematics, a level set of a real-valued function f of n real variables is a set of the form

that is, a set where the function takes on a given constant value c.

When the number of variables is two, a level set is generically a curve, called a level curve, contour line, or isoline. So a level curve is the set of all real-valued solutions of an equation in two variables x₁ and x₂. When n = 3, a level set is called a level surface (see also isosurface), and for higher values of n the level set is a level hypersurface. So a level surface is the set of all real-valued roots of an equation in three variables x₁, x₂ and x₃, and a level hypersurface is the set of all real-valued roots of an equation in n (n > 3) variables.

A level set is a special case of a fiber.

Alternative names

Level sets show up in many applications, often under different names.

For example, an implicit curve is a level curve, which is considered independently of its neighbor curves, emphasizing that such a curve is defined by an implicit equation. Analogously, a level surface is sometimes called an implicit surface or an isosurface.

Level 27 Clothing

Level 27 Clothing (sometimes typeset as "LeVeL 27 Clothing" to fit the logo) is an American clothing company founded in 2000 and owned by Billy Martin from the band Good Charlotte and his best friend from high school, Steve Sievers.

The name "Level 27" comes from Billy Martin's lucky number "27" and "Level" being a video game reference. The brand has many different styles of clothing and designs. All designs are created by Billy Martin himself. Martin jokingly said that the reason for starting the company was because "we're not really good at playing guitar so we need other things to occupy us."

People Wearing Level 27

In New Found Glory's video for their cover of Kiss Me, guitarist Steve Klein can be seen wearing the Level 27 "Rib" t-shirt.
Bert McCracken of The Used can also been seen wearing Level 27 in their video for Taste Of Ink. James "The Rev" Sullivan in his early pictures from Avenged Sevenfold can also be seen wearing a black level 27 polo

The Closing of Level 27

Level 10

Level 10 may refer to:

Level3 (Perfume album)

Level3 (capitalized as LEVEL3) is the fourth studio album by Japanese girl group Perfume. It was released on October 2, 2013 by Universal J and Perfume Records. Level3 marks Perfume s fourth consecutive album to be fully produced by Japanese producer and Capsule member Yasutaka Nakata, while Perfume contributes to the album as the lead, background vocalists, and executive producers through their self-titled record label. Recorded in Japanese and English language, Level3 is an electronic dance album that borrows numerous musical elements including J-pop, house music, and technopop.

Level3 was recorded and mixed in Japan, with the assistance of Nakata. Six different formats were released to promote the album; a standalone CD, a limited CD and DVD bundle, and a digital release. It was re-released in May 2014 as an additional bonus CD standalone edition, a 7 inch vinyl, and a digital release. Two different artworks were issued for the album's cover sleeve; one has Perfume inside the set of their music video "1mm", whilst the second features body shots of Perfume and printed on transparent sheets.

Set (music)

A set (pitch set, pitch-class set, set class, set form, set genus, pitch collection) in music theory, as in mathematics and general parlance, is a collection of objects. In musical contexts the term is traditionally applied most often to collections of pitches or pitch-classes, but theorists have extended its use to other types of musical entities, so that one may speak of sets of durations or timbres, for example.

A set by itself does not necessarily possess any additional structure, such as an ordering. Nevertheless, it is often musically important to consider sets that are equipped with an order relation (called segments); in such contexts, bare sets are often referred to as "unordered", for the sake of emphasis.

Two-element sets are called dyads, three-element sets trichords (occasionally "triads", though this is easily confused with the traditional meaning of the word triad). Sets of higher cardinalities are called tetrachords (or tetrads), pentachords (or pentads), hexachords (or hexads), heptachords (heptads or, sometimes, mixing Latin and Greek roots, "septachords"—e.g.,), octachords (octads), nonachords (nonads), decachords (decads), undecachords, and, finally, the dodecachord.

Set construction

Set construction is the process by which a construction manager undertakes to build full scale scenery suitable for viewing by camera, as specified by a production designer or art director working in collaboration with the director of a production to create a set for a theatrical, film or television production. The set designer produces a scale model, scale drawings, paint elevations (a scale painting supplied to the scenic painter of each element that requires painting), and research about props, textures, and so on. Scale drawings typically include a groundplan, elevation, and section of the complete set, as well as more detailed drawings of individual scenic elements which, in theatrical productions, may be static, flown, or built onto scenery wagons. Models and paint elevations are frequently hand-produced, though in recent years, many Production Designers and most commercial theatres have begun producing scale drawings with the aid of computer drafting programs such as AutoCAD or Vectorworks.

Associative containers

In computing, associative containers refer to a group of class templates in the standard library of the C++ programming language that implement ordered associative arrays. Being templates, they can be used to store arbitrary elements, such as integers or custom classes. The following containers are defined in the current revision of the C++ standard: set, map, multiset, multimap. Each of these containers differ only on constraints placed on their elements.

The associative containers are similar to the unordered associative containers in C++ standard library, the only difference is that the unordered associative containers, as their name implies, do not order their elements.

Design

Characteristics