Frame

A frame is a structural system that supports other components of a physical construction.

Frame and FRAME may also refer to:

Engineering and construction

Frame (artificial intelligence)

Frames were proposed by Marvin Minsky in his 1974 article "A Framework for Representing Knowledge." A frame is an artificial intelligence data structure used to divide knowledge into substructures by representing "stereotyped situations." Frames are the primary data structure used in artificial intelligence Frame languages.

Frames are also an extensive part of knowledge representation and reasoning schemes. Frames were originally derived from semantic networks and are therefore part of structure based knowledge representations. According to Russell and Norvig's "Artificial Intelligence, A Modern Approach," structural representations assemble "...facts about particular object and even types and arrange the types into a large taxonomic hierarchy analogous to a biological taxonomy."

Frame structure

The frame contains information on how to use the frame, what to expect next, and what to do when these expectations are not met. Some information in the frame is generally unchanged while other information, stored in "terminals," usually change. Different frames may share the same terminals.

Frames (Lee DeWyze album)

Frames is the fifth studio album by Lee DeWyze. It is the second album that he has released since he won the ninth season of American Idol. Thirteen tracks are included on the standard release, while acoustic versions of each song are available on the deluxe edition. DeWyze has six solo writing credits on the album and was a co-writer on all of the other songs, collaborating with Drew Pearson, Julian Emery, Justin Irvin, Shelly Fairchild, Rick Seibold, Matthew Wilder and Toby Gad. DeWyze also served as one of the album's producers, along with Pearson, Emery, Seibold, Wilder, Gad, Phil Allen and Dr Zero.

RCA Records dismissed DeWyze from his contract in 2011, due to the poor performance of his previous album, Live It Up. Undaunted by this setback, DeWyze set out to write music that would be more in line with his own vision, feeling that RCA had not understood him as an artist. Having previously released two independent albums, he went back to the folk rock sound of those albums, while also incorporating elements of pop, rockabilly and bluegrass. Attracting Vanguard Records with his new music, he signed with the label in early 2013 and was given creative freedom while working on Frames. The album was released on August 20, 2013 to positive reviews. It debuted at number 116 on the Billboard 200 Chart and at number 38 on the Top Rock Albums Chart.

Frames (Oceansize album)

Frames is the third studio album by British progressive rock band Oceansize, released on 1 October 2007 on Superball Music. The album marks the first appearance of bassist Steven Hodson, following the departure of Jon Ellis in 2005.

In May 2008, the band re-released the album with an accompanying DVD, featuring a full performance of the album, a documentary focusing on the making of the album, and various live tracks. The package also includes an Oceansize sticker.

The band played the album in full on 18 October 2008 in Manchester as part of a trilogy of shows that celebrated the band's ten-year anniversary.

Vocalist/guitarist Mike Vennart states that:

Background

The album features "a lot of songs about grudges and negative energy”, with the song "Commemorative 9/11 T-Shirt", inspired by a gift to Vennart by band Cardiacs, which includes a time signature of "11/8 or 9/8, so when we were naming the song it was like 'it's in 11, it's in 9, it's got to be 9/11",

Regarding the album, Vennart states that:

Frame (linear algebra)

In linear algebra, a frame of an inner product space is a generalization of a basis of a vector space to sets that may be linearly dependent. In the terminology of signal processing, a frame provides a redundant, stable way of representing a signal. Frames are used in error detection and correction and the design and analysis of filter banks and more generally in applied mathematics, computer science, and engineering.

Definition and motivation

Motivating example: computing a basis from a linearly dependent set

Suppose we have a set of vectors in the vector space V and we want to express an arbitrary element as a linear combination of the vectors , that is, we want to find coefficients such that

If the set does not span , then such coefficients do not exist for every such . If spans and also is linearly independent, this set forms a basis of , and the coefficients are uniquely determined by . If, however, spans but is not linearly independent, the question of how to determine the coefficients becomes less apparent, in particular if is of infinite dimension.