In mathematics, the absolute value or modulus of a real number , denoted , is the non-negative value of without regard to its sign. Namely, if is a positive number, and if is negative, and . For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero.
In mathematics, the associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.
In geometry, a Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of real numbers called coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, called coordinate lines, coordinate axes or just axes of the system. The point where they meet is called the origin and has (0, 0) as coordinates.
In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. The equipollence relation between line segments in geometry is a common example of an equivalence relation. A simpler example is equality. Any number is equal to itself (reflexive). If , then (symmetric). If and , then (transitive).
In mathematics, a surjective function (also known as surjection, or onto function ) is a function f such that, for every element y of the function's codomain, there exists at least one element x in the function's domain such that f(x) = y. In other words, for a function f : X → Y, the codomain Y is the image of the function's domain X. It is not required that x be unique; the function f may map one or more elements of X to the same element of Y.
In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. That is, if and are real numbers then the complex conjugate of is The complex conjugate of is often denoted as or .
In mathematics, function composition is an operation ∘ that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x. That is, the functions f : X → Y and g : Y → Z are composed to yield a function that maps x in domain X to g(f(x)) in codomain Z. Intuitively, if z is a function of y, and y is a function of x, then z is a function of x. The resulting composite function is denoted g ∘ f : X → Z, defined by (g ∘ f )(x) = g(f(x)) for all x in X.
In music theory, the circle of fifths is a way of organizing pitches as a sequence of perfect fifths. Starting on a C, and using the standard system of tuning for Western music, the sequence is: C, G, D, A, E, B, F♯, C♯, G♯, D♯, A♯, E♯ (F), C. This order places the most closely related key signatures adjacent to one another. It is usually illustrated in the form of a circle.
In mathematics, a square is the result of multiplying a number by itself. The verb "to square" is used to denote this operation. Squaring is the same as raising to the power 2, and is denoted by a superscript 2; for instance, the square of 3 may be written as 32, which is the number 9. In some cases when superscripts are not available, as for instance in programming languages or plain text files, the notations x^2 (caret) or x**2 may be used in place of x2. The adjective which corresponds to squaring is quadratic.
In algebra, a split complex number is based on a hyperbolic unitj satisfying A split-complex number has two real number components x and y, and is written The conjugate of z is Since the product of a number z with its conjugate is an isotropic quadratic form.
Come Home With Me is the third studio album by American rapper Cam'ron, released on May 14, 2002, by Cam'ron's Diplomats Records and Jay-Z's Roc-A-Fella Records. There are featured guest appearances from Jimmy Jones, Juelz Santana, Freekey Zekey, DJ Kay Slay, Daz Dillinger, Tiffany, Jay-Z, McGruff, Memphis Bleek, and Beanie Sigel. To date, it is his most commercially successful album; it peaked at #2 on the Billboard 200 with first-week sales of 226,000 copies, and eventually sold one million copies in the United States, being certified Platinum by the RIAA.
Music of the Sun is the debut studio album by Barbadian singer Rihanna. It was released on August 29, 2005, by Def Jam Recordings. Prior to signing with Def Jam, Rihanna was discovered by record producer Evan Rogers in Barbados, who helped Rihanna record demo tapes to send out to several record labels. Jay-Z, the former chief executive officer (CEO) and president of Def Jam, was given Rihanna's demo by Jay Brown, his A&R at Def Jam, and invited her to audition for the label after hearing the song that would become her first single, "Pon de Replay". She auditioned for Jay-Z and L.A. Reid, the former CEO and president of record label group The Island Def Jam Music Group, and was signed on the spot to prevent her from signing with another record label.
SCRIPT, any of a series of text markup languages starting with Script under Control Program-67/Cambridge Monitor System (CP-67/CMS) and Script/370 under Virtual Machine Facility/370 (VM/370) and the Time Sharing Option (TSO) of OS/VS2; the current version, SCRIPT/VS, is part of IBM's Document Composition Facility (DCF) for IBM z/VM and z/OS systems. SCRIPT was developed for CP-67/CMS by Stuart Madnick at MIT, succeeding CTSS RUNOFF.
Combinatory categorial grammar (CCG) is an efficiently parsable, yet linguistically expressive grammar formalism. It has a transparent interface between surface syntax and underlying semantic representation, including predicate–argument structure, quantification and information structure. The formalism generates constituency-based structures and is therefore a type of phrase structure grammar.
"Run This Town" is a song by American rapper Jay-Z featuring Barbadian singer Rihanna and fellow American rapper Kanye West. Released on July 24, 2009, it was written by the artists alongside Athanasios Alatas, Jeff Bhasker, and No I.D., the latter producing it with West. "Run This Town" was released as the second single from Jay-Z's eleventh studio album, The Blueprint 3.
Mosaic is the twelfth studio album by the American rock band 311. Released on June 23, 2017, it is the band's first album to be released by the label BMG, their first to be produced by John Feldmann, and their fourth to be produced by Scotch Ralston. The track listing was revealed by Pledge Music on April 10, 2017.
"Top Off" is a song recorded by American record producer DJ Khaled featuring American rappers Jay-Z and Future and American singer Beyoncé. The artists wrote the song with Joe Zarrillo who produced it with Khaled and Beyoncé. It was released on March 2, 2018, as the lead single from Khaled's eleventh studio album, Father of Asahd. Complex magazine ranked Beyoncé's verse on the song as the second best on the album; she performed it during her 2018 Coachella performance and subsequently included it in Homecoming: The Live Album (2019).
Z333 or variant, may refer to:
