Focus (geometry)

In geometry, the foci (/ˈfoʊsaɪ/; singular focus) are one or more special points with reference to which any of a variety of curves is constructed. For example, one or two foci can be used in defining conic sections, the four types of which are the circle, ellipse, parabola, and hyperbola. In addition, two foci are used to define the Cassini oval and the Cartesian oval, and more than two foci are used in defining an n-ellipse.

Conic sections

Defining conics in terms of two foci

An ellipse can be defined as the locus of points for each of which the sum of the distances to two given foci is a constant.

A circle is the special case of an ellipse in which the two foci coincide with each other. Thus, a circle can be more simply defined as the locus of points each of which is a fixed distance from a single given focus. A circle can also be defined as the circle of Apollonius, in terms of two different foci, as the set of points having a fixed ratio of distances to the two foci.

A parabola is a limiting case of an ellipse in which one of the foci is a point at infinity.

Focus…

Bernard Edwards, Jr., better known as Focus..., is an Atlanta-based record producer who first rose to fame when signed to Dr. Dre's Aftermath Entertainment. Since then he has produced tracks for Dr. Dre, Eminem, Snoop Dogg, Kendrick Lamar, Lil Wayne, Jadakiss, Christina Aguilera, Jennifer Lopez, Beyoncé Knowles, 50 Cent, Busta Rhymes, Bishop Lamont, Tony Yayo, Stat Quo, Outlawz, The Game, Jay Rock, Schoolboy Q, Mac Dre, Ice Cube, Anderson Paak, Jon Connor, Joe, Marsha Ambrosius , Slum Village amongst many others.

Biography

Focus... is the son of the late Bernard Edwards, co-founder of disco and R&B band Chic. He was born in Manhattan, New York, and raised in the Tri-State Region. Edwards, Jr credits his father with his love for the production side of music, which he developed from an early age, attending numerous studio sessions with his father.

Focus...'s production talents were first recognized by Dr. Dre when an artist Edwards, Jr had produced, Daks, greatly impressed the Aftermath label head. signed Focus... so that the two could then continue working together.

Focus (Holly Starr album)

Focus is the second studio album from the Christian singer-songwriter Holly Starr. The album released on October 2, 2012 via Save the City Records. The producers on the album were Chuck Butler, David Garcia and Christopher Stevens. The album received critical acclamation from music critics, yet it did not get much commercial success because it failed to chart.

Background

The album released on October 2, 2012 by Save the City Records, and the producers on the album were Chuck Butler, David Garcia and Christopher Stevens. This was the second studio album from the songstress Holly Starr.

Critical reception

Focus garnered critical acclaim from eight music critics. Robert Ham of Allmusic rated the album four stars, calling it a "pleasant surprise" because it kept up with contemporary musical trends. At Cross Rhythms, Matthew Cordle rated the album a perfect ten, noting how the album comes "with a cleaner, tighter, more stripped-back sound, less electric and more acoustic" than its predecessor, and it is "Impeccably produced, this is a thoroughly modern pop sound conveying a thoroughly ancient message." Christian Music Zine's Joshua Andre rated the album four-and-three-fourths, saying that this is a "brilliant" release on which "Holly's poignant lyrics and well-crafted pop melodies and ballads is sure to propel her soon, if not already, into the same league and caliber of songwriting as Nichole Nordeman and Jason Ingram." Grace Thorson of CM Addict rated the album four-and-a-half stars, affirming that the release is "well-rounded".

FOCUS

FOCUS is a computer programming language and development environment. It is a language used to build database queries, and is regarded as a fourth-generation programming language (4GL). Produced by Information Builders Inc., it was originally developed for data handling and analysis on the IBM mainframe. As newer systems were developed and smaller computers became more powerful, the available platforms for FOCUS were extended to personal computers and in 1997, to the World Wide Web in the WebFOCUS product.

Relation to other 4GLs

RAMIS, the first 4GL, was the direct ancestor of FOCUS, having been principally developed by Gerald D. Cohen and Peter Mittelman while working at Mathematica Products Group in 1970. The product was sold by Mathematica to a number of in-house clients (including Nabisco and AT&T), and was also offered by the National CSS timesharing company for use on their VP/CSS operating system (a derivation of IBM's CP/CMS which is now called VM/CMS). In 1970, Cohen decided to leave Mathematica and form Information Builders, after which he recreated the product he had built at Mathematica in the form of FOCUS which was released in 1975. The syntax of FOCUS in its simplest elements is almost a direct clone of the syntax of RAMIS bearing a resemblance similar to the differences between various early dialects of SQL). At the same time, NCSS decided to work on its own product, later called NOMAD. All three products flourished during the 1970s and early 1980s, but Mathematica's time ran out in the mid-80s, and NCSS also failed, a victim of the personal computing revolution which obviated commercial timesharing (although it has since been revived in the form of ASPs and shared web servers). RAMIS was sold through to several companies, ultimately landing with Computer Associates. NOMAD suffered a similar fate. FOCUS, under Cohen's direction, continued to flourish by expanding their product.