This explains some group ends and provides a justification of their primacy.

In order to attain the goal of group solidarity and to relieve tension, the high fertility rate provides more group members for mate selection, and the clustering of members in groups fosters acceptance of group controls.

Because they are always genetically identical, the group of four young provides a good subject for scientific, behavioral or medical tests that need consistent biological and genetic makeup in the test subjects.

The study of group homomorphisms then provides a tool for studying general properties of groups and consequences of the group axioms.

So in some sense it provides a measure of how far the group is from being abelian ; the larger the commutator subgroup is, the " less abelian " the group is.

The formula provides the GoS ( grade of service ) which is the probability P < sub > b </ sub > that a new call arriving at the circuit group is rejected because all servers ( circuits ) are busy: B ( E, m ) when E Erlang of traffic are offered to m trunks ( communication channels ).

In mathematics, more specifically algebraic topology, the fundamental group ( defined by Henri Poincaré in his article Analysis Situs, published in 1895 ) is a group associated to any given pointed topological space that provides a way of determining when two paths, starting and ending at a fixed base point, can be continuously deformed into each other.

Although Hezbollah and Hamas are not organizationally linked, Hezbollah provides military training as well as financial and moral support to the Sunni Palestinian group.

In a videoconference, ISDN provides simultaneous voice, video, and text transmission between individual desktop videoconferencing systems and group ( room ) videoconferencing systems.

IPv6 also provides for new multicast implementations, including embedding rendezvous point addresses in an IPv6 multicast group address, which simplifies the deployment of inter-domain solutions.

The risk & insurance group provides specialist insurance and reinsurance broking together with risk management services for a wide range of clients, including some of the world ’ s largest corporations.

Vermes states that the Testomonium provides Josephus ' authentic portrayal of Jesus, depicting him as a wise teacher and miracle worker with an enthusiastic group of followers who remained faithful to him after his crucifixion by Pilate, up to the time of Josephus.

The academic library provides a quiet study space for students on campus ; it may also provide group study space, such as meeting rooms.

On a " global " level, whenever a Lie group acts on a geometric object, such as a Riemannian or a symplectic manifold, this action provides a measure of rigidity and yields a rich algebraic structure.

The language of category theory provides a concise definition for Lie groups: a Lie group is a group object in the category of smooth manifolds.

This is called the exponential map, and it maps the Lie algebra into the Lie group G. It provides a diffeomorphism between a neighborhood of 0 in and a neighborhood of e in G. This exponential map is a generalization of the exponential function for real numbers ( because R is the Lie algebra of the Lie group of positive real numbers with multiplication ), for complex numbers ( because C is the Lie algebra of the Lie group of non-zero complex numbers with multiplication ) and for matrices ( because M < sub > n </ sub >( R ) with the regular commutator is the Lie algebra of the Lie group GL < sub > n </ sub >( R ) of all invertible matrices ).

He began working on the group of sculptures that are known as " Bird in Space " — simple shapes representing a bird in flight.

He accepted that someone else in his group might have been on the same flight, but noted that he flew back to Seattle to talk with Microsoft again.

The first Americans to venture into space were drawn from a group of 110 military pilots chosen for their flight test experience and because they met certain physical requirements.

By the usual procedure of crew rotation in the Gemini program, White would have been in line for a second flight as the Command Pilot of Gemini 10 in July 1966, which would have made him the first of his group to fly twice.

In fight, the group may be characterized by aggressiveness and hostility ; in flight, the group may chit-chat, tell stories, arrive late or any other activities that serve to avoid addressing the task at hand.

The leader for this sort of group is one who can mobilize the group for attack, or lead it in flight.

The collective noun for group of geese on the ground is a gaggle ; when in flight, they are called a skein, a team or a wedge ; when flying close together, they are called a plump.

A group of swans is called a bevy or a wedge in flight.

They organized their own " Skunk Works " group, the Advanced Concepts Laboratory, and responded with a new aircraft design that incorporated more modern equipment than the Northrop contender, mainly fly-by-wire flight controls.

LeMay found ways to encourage morale, individual performance, and the reenlistment rate through a number of means: encouraging off-duty group recreational activities, instituting spot promotions based on performance, and authorizing special uniforms, training, equipment, and allowances for ground personnel as well as flight crews.

His involvement with this group led to his losing academic credits (" The First Duty "), when a squadron-mate was killed attempting a dangerous and prohibited flight maneuver and, under pressure from the team leader Nick Locarno, Crusher abetted the squadron's efforts to cover up the truth.

By the time the group released their first album in 1986 the Parisian alternative music scene had taken flight, and Manu, his brother Antoine Chao, and friends such as Alain from Les Wampas formed Los Carayos to incorporate this sound with the rockabilly and punk styles of Hot Pants.

As a group, vesper bats cover the full gamut of flight ability, with the relatively weak flying Pipistrellus that have fluttery, almost insect-like flight to the long-winged and fast-flying genera such as Lasiurus and Nyctalus.

From 1970-73, the group targeted a number of aircraft ; typically having members seduce single young women and promise them a life of adventure and love-often while getting them addicted to drugs-before asking them to carry some cash and a mysterious package onto a flight to Tel Aviv.

Flocking behavior is the behavior exhibited when a group of birds, called a flock, are foraging or in flight.

In the early 1950s the fraternal group E Clampus Vitus and the Riverside County Department of Transportation commemorated the Gromov flight by erecting a stone marker on Cottonwood Avenue, just west of Sanderson Road in west-central San Jacinto.

The planes were immediately prepared for the long flight southward, and on December 15 the first group of B-17s left Del Monte airfield.

As lead pilot in his flight of eight Wildcats, the group soon became known as Foss's Flying Circus, with two sections Foss nicknamed " Farm Boys " and " City Slickers.

The practice of Kaharingan differs from group to group, but shamans, specialists in ecstatic flight to other spheres, are central to Dayak religion, and serve to bring together the various realms of Heaven ( Upper-world ) and earth, and even Under-world, for example healing the sick by retrieving their souls which are journeying on their way to the Upper-world land of the dead, accompanying and protecting the soul of a dead person on the way to their proper place in the Upper-world, presiding over annual renewal and agricultural regeneration festivals, etc.

* 2003: British television series Mile High features a group of flight attendants working for the fictitious low-cost carrier " Fresh !".

Below this crack is another group of eleven parallel lines, again divided into two sections by a line perpendicular to them, but with the semicircle at the top of the intersection ; the third, sixth and ninth of these lines are marked with a cross where they intersect with the vertical line.

In line with the suggestion of the Windsor Report, Williams has recently established a working group to examine the feasibility of an Anglican covenant which would articulate the conditions for communion in some fashion.

Some extinct members of the crocodilian line, a sister group to the dinosaurs and birds, also evolved bipedal forms-a crocodile relative from the triassic, Effigia okeeffeae, is believed to be bipedal.

In January 2007, the group publicly announced their reformation and on 23 February, after 20 days of auditions, former Beck drummer Matt Sherrod joined Finn, Seymour and Mark Hart to complete the new line up.

By the phenomenalistic line of thinking, to have a visual experience of a real physical thing is to have an experience of a certain kind of group of experiences.

* Player is at either end of the group of players on the line of scrimmage ( usually the split end and tight end )

The lines connecting three points correspond to the group operation: a, b, and c on one line means a + b = c, a + c = b, and b + c = a.

All conditional statements must be written on one line, although statements may group multiple lines.

Generally, the punch line answer highlights a stereotype of the target group.

Various libertarian socialist authors have identified the written work of English Protestant social reformer Gerrard Winstanley and the social activism of his group, the Diggers, as anticipating this line of thought.

In the 1880s, there was a debate between those, such as Georges Clemenceau ( Radical ), Jean Jaurès ( Socialist ) and Maurice Barrès ( nationalist ), who argued that colonialism diverted France from the " blue line of the Vosges " ( referring to Alsace-Lorraine ), and the " colonial lobby ", such as Jules Ferry ( moderate republican ), Léon Gambetta ( republican ) and Eugène Etienne, the president of the parliamentary colonial group.

Mao was removed from his important positions and replaced by individuals ( including Zhou Enlai ) who appeared loyal to the orthodox line advocated by Moscow and represented within the CPC by a group known as the 28 Bolsheviks.

In February 2010, Larrikin Music Publishing won a case against the group arising from the uncredited appropriation of " Kookaburra ", originally written in 1934 by Marion Sinclair and for which they owned the publishing rights, as the flute line in the song " Down Under ".

Their symmetry group has two elements, the identity and the reflection in a line parallel to the sides of the squares.

One group of cardinals, which included Sinibaldo de ' Fieschi ( soon to be Pope Innocent IV ) backed a candidate from the inner circle of Pope Gregory IX expected to pursue the hard line with Frederick II.

Figure 3: A hydrogen bond ( dotted line ) to an X-Pro peptide group favors the single-bonded resonance form ( left ) over the double-bonded form ( right ).

She had a debate with a representative of a hard line Islamic fundamentalist group.

The group spent many months working through the text out loud, line by line.

Although Fulks never says her name, the line " When the little one took the mike, I knew I'd fallen " suggests the particular " Bangle girl " he pines for is Susanna Hoffs, the shortest member of the group and frequent lead singer.

Robert B. Parker's 2001 novel Potshot borrows heavily from the end of the movie for the final confrontation between Spenser's group of seven outlaws and the Dell, the antagonists of the story, going so far as to acknowledge it in dialog between characters and having one of them say the line, " We deal in lead, friend.

* The chorus of " Emigrants " by Scots traditional music group Canterach includes the line: " Sent to the new worlds of America, Australia, and Van Diemen's Land ".

For example, the product of the unit circle ( with its usual topology ) and the real line with the discrete topology is a locally compact group with the product topology and Haar measure on this group is not inner regular for the closed subset