Moment (mathematics)

In mathematics, a moment is a specific quantitative measure, used in both mechanics and statistics, of the shape of a set of points. If the points represent mass, then the zeroth moment is the total mass, the first moment divided by the total mass is the center of mass, and the second moment is the rotational inertia. If the points represent probability density, then the zeroth moment is the total probability (i.e. one), the first moment is the mean, the second central moment is the variance, the third moment is the skewness, and the fourth moment (with normalization and shift) is the kurtosis. The mathematical concept is closely related to the concept of moment in physics.

For a bounded distribution of mass or probability, the collection of all the moments (of all orders, from 0 to ∞) uniquely determines the distribution.

Significance of the moments

The n-th moment of a real-valued continuous function f(x) of a real variable about a value c is

It is possible to define moments for random variables in a more general fashion than moments for real values—see moments in metric spaces. The moment of a function, without further explanation, usually refers to the above expression with c = 0.

Moment (film)

Moment (Serbian: Трен, translit. Tren) is a 1978 Yugoslav war film directed by Stole Janković. It was entered into the 11th Moscow International Film Festival where Bata Živojinović won the award for Best Actor.

Cast

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Moment (physics)

In physics, moment is a combination of a physical quantity and a distance. Moments are usually defined with respect to a fixed reference point or axis; they deal with physical quantities as measured at some distance from that reference point or axis. For example, a moment of force is the product of a force and its distance from an axis, which causes rotation about that axis. In principle, any physical quantity can be combined with a distance to produce a moment; commonly used quantities include forces, masses, and electric charge distributions.

Elaboration

In its most simple and basic form, a moment is the product of the distance to some point, raised to some power, multiplied by some physical quantity such as the force, charge, etc. at that point:

where is the physical quantity such as a force applied at a point, or a point charge, or a point mass, etc. If the quantity is not concentrated solely at a single point, the moment is the integral of that quantity's density over space:

International Ultramarine Corps

The International Ultramarine Corps, formerly the Ultramarine Corps, is a fictional team of superheroes published by DC Comics. They first appeared in DC One Million #2 (November 1998), and were created by Grant Morrison and Howard Porter.

History

The Corps was created by the U.S. as a government-sponsored group of superhumans to rival the more independent Justice League. Led by General Wade Eiling, the original members of the team were Flow, 4-D, Pulse 8 and Warmaker One. During a fight with the JLA, the UMC realised that Eiling was dangerously insane and that they were on the wrong side; they then sided with the League against their leader.

Having developed a mistrust of governments, the Corps subsequently declared themselves independent of any and all nations and built a free-floating city in which to dwell, which they named Superbia and set in the air above the ruins of Montevideo. They put out a call to other disaffected superheroes to join them in their city, and received a number of responses from around the globe, although the total population and demographics of Superbia are unknown.

Traffic flow (computer networking)

In packet switching networks, traffic flow, packet flow or network flow is a sequence of packets from a source computer to a destination, which may be another host, a multicast group, or a broadcast domain. RFC 2722 defines traffic flow as "an artificial logical equivalent to a call or connection."RFC 3697 defines traffic flow as "a sequence of packets sent from a particular source to a particular unicast, anycast, or multicast destination that the source desires to label as a flow. A flow could consist of all packets in a specific transport connection or a media stream. However, a flow is not necessarily 1:1 mapped to a transport connection." Flow is also defined in RFC 3917 as "a set of IP packets passing an observation point in the network during a certain time interval."

Conceptual description

A flow can be uniquely identified by the following parameters within a certain time period:

Rapping

Rapping (or emceeing,MCing,spitting bars,or rhyming) is "spoken or chanted rhyming lyrics". The components of rapping include "content", "flow" (rhythm and rhyme), and "delivery". Rapping is distinct from spoken-word poetry in that it is performed in time to a beat. Rapping is often associated with and a primary ingredient of hip-hop music, but the origins of the phenomenon can be said to predate hip-hop culture by centuries. It can also be found in alternative rock such as that of Cake, gorrilaz and the Red Hot Chili Peppers. Rapping is also used in Kwaito music, a genre that originated in Johannesburg, South Africa, and is composed of hip-hop elements.

Rapping can be delivered over a beat or without accompaniment. Stylistically, rap occupies a gray area between speech, prose, poetry, and singing. The word (meaning originally "to hit") as used to describe quick speech or repartee predates the musical form. The word had been used in British English since the 16th century. It was part of the African-American dialect of English in the 1960s meaning "to converse", and very soon after that in its present usage as a term denoting the musical style. Today, the terms "rap" and "rapping" are so closely associated with hip-hop music that many use the terms interchangeably.