Extraterrestrial

Extraterrestrial may refer to any object or being beyond (extra-) the planet Earth (terrestrial). It is derived from the Latin words extra ("outside", "outwards") and terrestris ("earthly", "of or relating to the Earth").

It may also refer to:

Pause

Pause may refer to:

Computing

Songs

Other

Fermata

A fermata [ferˈmaːta] (also known as a hold, pause, colloquially a birdseye or cyclops eye, or as a grand pause when placed on a note or a rest) is a symbol of musical notation indicating that the note should be prolonged beyond its normal duration or note value would indicate. Exactly how much longer it is held is up to the discretion of the performer or conductor, but twice as long is not unusual. It is usually printed above, but occasionally below (upside down), the note that is to be held longer.

When a fermata is placed over a bar or double-bar, it is used to indicate the end of a phrase or section of a work. In a concerto, it indicates the point where the soloist is to play a cadenza.

A fermata can occur at the end of a piece (or movement), or it can occur in the middle of a piece, and be followed by either a brief rest or more notes.

Other names for a fermata are corona (Italian), point d'orgue (French), Fermate (German), and calderón (Spanish).

History and use

This symbol appears as early as the 15th century, and is quite common in the works of Dufay and Josquin.

Pause (musician)

Daniel Zisette Kushnir better known by his stage name Pause is an American musician and rap artist. The multi-instrumentalist producer has risen to prominence in 2013 with placements on the Showtime series Ray Donovan (song: "Shouts Out") and Volition, Inc.'s 2013 release, Saints Row IV (soundtrack) (song: "Caroline").

Origin of Name

The name Pause was originally a nickname given to him by his father—an attempt to teach him to pause before engaging in destructive behaviour.

Discography

Pacific Rose - Special Edition (album)

External links

References

Forma

Forma is a Latin word meaning "form". Both the word "forma" and the word "form" are used interchangeably as informal terms in biology:

Homogeneous polynomial

In mathematics, a homogeneous polynomial is a polynomial whose nonzero terms all have the same degree. For example, is a homogeneous polynomial of degree 5, in two variables; the sum of the exponents in each term is always 5. The polynomial is not homogeneous, because the sum of exponents does not match from term to term. A polynomial is homogeneous if and only if it defines a homogeneous function. An algebraic form, or simply form, is a function defined by a homogeneous polynomial. A binary form is a form in two variables. A form is also a function defined on a vector space, which may be expressed as a homogeneous function of the coordinates over any basis.

A polynomial of degree 0 is always homogeneous; it is simply an element of the field or ring of the coefficients, usually called a constant or a scalar. A form of degree 1 is a linear form. A form of degree 2 is a quadratic form. In geometry, the Euclidean distance is the square root of a quadratic form.

Homogeneous polynomials are ubiquitous in mathematics and physics. They play a fundamental role in algebraic geometry, as a projective algebraic variety is defined as the set of the common zeros of a set of homogeneous polynomials.

Differential form

In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates. Differential forms provide a unified approach to defining integrands over curves, surfaces, volumes, and higher-dimensional manifolds. The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, especially in geometry, topology and physics.

For instance, the expression f(x) dx from one-variable calculus is called a 1-form, and can be integrated over an interval [a, b] in the domain of f:

and similarly the expression f(x, y, z) dx ∧ dy + g(x, y, z) dx ∧ dz + h(x, y, z) dy ∧ dz is a 2-form that has a surface integral over an oriented surface S:

Likewise, a 3-form f(x, y, z) dx ∧ dy ∧ dz represents a volume element that can be integrated over a region of space.

The algebra of differential forms is organized in a way that naturally reflects the orientation of the domain of integration. There is an operation d on differential forms known as the exterior derivative that, when acting on a k-form, produces a (k + 1)-form. This operation extends the differential of a function, and the divergence and the curl of a vector field in an appropriate sense that makes the fundamental theorem of calculus, the divergence theorem, Green's theorem, and Stokes' theorem special cases of the same general result, known in this context also as the general Stokes' theorem. In a deeper way, this theorem relates the topology of the domain of integration to the structure of the differential forms themselves; the precise connection is known as de Rham's theorem.