Introduction, The Introduction, Intro, or The Intro may refer to:
Intro is an American R&B trio from Brooklyn, New York City, New York. The trio consisted of members Jeff Sanders, Clinton "Buddy" Wike and lead singer/songwriter Kenny Greene. Intro released two albums (for Atlantic Records): 1993's Intro and their second album, 1995's New Life. The group had a string of US hits in the 1990s. The hits included the singles "Let Me Be The One", the Stevie Wonder cover "Ribbon in the Sky", "Funny How Time Flies" and their highest charting hit, "Come Inside".
Intro's Kenny Greene died from complications of AIDS in 2001. Intro recently emerged as a quintet consisting of Clinton "Buddy" Wike, Jeff Sanders, Ramon Adams and Eric Pruitt. Adams departed in 2014, with the group back down to its lineup as a trio. They are currently recording a new album to be released in 2015. The group released a new single in 2013 called "I Didn't Sleep With Her" and a new single "Lucky" in October 2014.
In music, the introduction is a passage or section which opens a movement or a separate piece, preceding the theme or lyrics. In popular music this is often abbreviated as intro. The introduction establishes melodic, harmonic, and/or rhythmic material related to the main body of a piece.
Introductions may consist of an ostinato that is used in the following music, an important chord or progression that establishes the tonality and groove for the following music, or they may be important but disguised or out-of-context motivic or thematic material. As such the introduction may be the first statement of primary or other important material, may be related to but different from the primary or other important material, or may bear little relation to any other material.
A common introduction to a rubato ballad is a dominant seventh chord with fermata, Play an introduction that works for many songs is the last four or eight measures of the song, Play while a common introduction to the twelve-bar blues is a single chorus. Play
In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that P 2 = P. That is, whenever P is applied twice to any value, it gives the same result as if it were applied once (idempotent). It leaves its image unchanged. Though abstract, this definition of "projection" formalizes and generalizes the idea of graphical projection. One can also consider the effect of a projection on a geometrical object by examining the effect of the projection on points in the object.
For example, the function which maps the point (x, y, z) in three-dimensional space R3 to the point (x, y, 0) is an orthogonal projection onto the x–y plane. This function is represented by the matrix
The action of this matrix on an arbitrary vector is
To see that P is indeed a projection, i.e., P = P2, we compute
A simple example of a non-orthogonal (oblique) projection (for definition see below) is
Projection was the ultimate goal of Western alchemy. Once the Philosopher's stone or powder of projection had been created, the process of projection would be used to transmute a lesser substance into a higher form, often lead into gold.
Typically, the process is described as casting a small portion of the Stone into a molten base metal.
The seventeenth century saw an increase in tales of physical transmutation and projection. These are variously explained as examples of charlatanism, fiction, pseudo-scientific error, or missed metaphor. The following is a typical account of the projection process described by Jan Baptista van Helmont in his De Natura Vitae Eternae.
Other reports include: