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group and set
He held that no group of colonists could set up or maintain a government without royal sanction.
Compound comparisons typically compare two sets of groups means where one set has two or more groups ( e. g., compare average group means of group A, B and C with group D ).
** For every non-empty set S there is a binary operation defined on S that makes it a group.
The set of all automorphisms of an object forms a group, called the automorphism group.
If the automorphisms of an object X form a set ( instead of a proper class ), then they form a group under composition of morphisms.
* In elementary arithmetic, the set of integers, Z, considered as a group under addition, has a unique nontrivial automorphism: negation.
He says in the page 114 of his autobiography that he was responsible for the null set symbol ( Ø ) and it came from the Norwegian alphabet, with which he alone among the Bourbaki group was familiar.
The Ann Arbor Land Company, a group of speculators, set aside of undeveloped land and offered it to the state of Michigan as the site of the state capital, but lost the bid to Lansing.
Shortly thereafter, they set off with a small group of followers for Europe.
An abelian group is a set, A, together with an operation "•" that combines any two elements a and b to form another element denoted.
To qualify as an abelian group, the set and operation,, must satisfy five requirements known as the abelian group axioms:
* Generating set of a group
* Base ( group theory ), a sequence of distinct elements of a set
* Bicycle User Group, a group set up to promote cycling issues
The set of invertible elements in any unital Banach algebra is an open set, and the inversion operation on this set is continuous, ( and hence homeomorphism ) so that it forms a topological group under multiplication.
A set of house rules may be accepted as valid by a group of players wherever they play, as it may also be accepted as governing all play within a particular house, café, or club.
Since over the course of any single dance, individuals interact with not just their partners but everyone else in the set, contra dancing might be considered a group activity.
The earliest and most famous example is Code of Hammurabi which set the different punishment and compensation according to the different class / group of victims and perpetrators.
The show is set in the Cheers bar ( named for the toast " Cheers ") in Boston, Massachusetts, where a group of locals meet to drink, relax, chat and have fun.

group and up
When the victory cheer went up this officer found himself still mounted, with his horse pressed broadside against Cleburne's log parapet in a tangled group of infantrymen.
This group in Park Place Church was made up of the earnest few.
Cousin Joshua and some others felt that we should march toward Lexington and take up new positions ahead of the slow-moving British column, but another group maintained that we should stick to this spot and this section of road.
Perhaps it was his misfortune, or good fortune, whichever way one looked at it, to belong to the former group, and he was struggling unconsciously to build up pressure in a world which demanded none, which was positively antagonistic to it.
Though it did not become known to the writer for some time, a nucleus group had sprung up within the class.
The manager sat behind the group so he could see and count the hands that went up, and the director wrote the numbers on the blackboard.
In the middle grades, however, he begins to participate more effectively in group activities such as selecting a leader, helping to make plans and carry on group activities, and setting up rules governing the enterprise.
The common spices, flavorings, and condiments make up this group.
but when a large number were `` bunched up '' or `` banded up '', and marched away from their home range, as long as they stayed together the group was said to be a `` drift ''.
The prevailing view in the industry was summed up in 1912 by a group of auto makers who told a Senate committee: `` The exceedingly unsatisfactory and uselessly expensive conditions, including delays surrounding legal disputes, particularly in patent litigation, are items of industrial burden which must be written large in figures of many millions of dollars of industrial waste ''.
`` Our church is sponsoring a group of very courageous women up in Alaska.
She got up, standing uncertainly for a moment, then moving aside to let go past her, talking, a group of young men.
; Analysis of variance ( ANOVA ): A mathematical process for separating the variability of a group of observations into assignable causes and setting up various significance tests.
After a brief but fierce storm sent up against the group at Juno's request, Aeneas and his fleet made landfall at Carthage after six years of wanderings.
However, in some situations, especially when deep behind enemy lines, the actual attack will be carried out by a platoon, a company-sized unit will be deployed to support the attack group, setting up and maintaining a forward patrol harbour from which the attacking force will deploy, and to which they will retire after the attack.
One night, Bäumer along with a group of other soldiers are holed up in a factory with neither rations nor comfortable bedding.
Though not well known among philosophers, his philosophical work was taken up by Owen Barfield ( and through him influenced the Inklings, an Oxford group of Christian writers that included J. R. R. Tolkien and C. S. Lewis ) and Richard Tarnas.
In the group was an emcee named Ya Kid K from the Democratic Republic of the Congo who later led the group into international fame with hits like " Pump up the Jam " and " Shake That Body ".
By the end of 1898, Western pilgrims started coming to Akka on pilgrimage to visit ` Abdu ' l-Bahá ; this group of pilgrims, including Phoebe Hearst, was the first time that Bahá ' ís raised up in the West had met ` Abdu ' l-Bahá.
Whenever the book was written and whatever the historicity of the events recounted in it, clearly by the time it was written the term " Yehudim " ( יהודים-Jews ) already gained a meaning quite close to what it means up to the present — i. e. an ethnic-religious group, scattered in many countries, organised in autonomous communities and a target of hatred.

group and allowed
Its folklore and legend, usually disguised as history, are allowed to account for group actions, to provide a focal point for group loyalty, and to become a cohesive force for national identification.
For example, an employee database can contain all the data about an individual employee, but one group of users may be authorized to view only payroll data, while others are allowed access to only work history and medical data.
Another sizable group of fanzines arose in role-playing game ( RPG ) fandom, where fanzines allowed people to publish their ideas and views on specific games and their role-playing campaigns.
Her personal letters to leaders of the Revolution influenced policy ; in addition, she often hosted political gatherings of the Brissotins, a political group which allowed women to join.
Gaynor was not allowed to sing with the all-male group, nor was her younger brother, Arthur, because he was too young.
As early as 380, a group of Huns was given Foederati status and allowed to settle in Pannonia.
The federal foreman referred to the group as " Hoosiers " meaning they were workers that Robert Hoosier had allowed to join the national work crew.
Hence, those with less pigmented skin survived and had children at higher rates because their skin allowed more UV light for the production of vitamin D. Thus, the skin of those in the group that left the African continent and went far north gradually developed adaptations for relatively greater translucence compared to equatorial hues.
Although the Separatists supported civil government, the group refused to make a physical oath in its support, " for according to the Gospel not oath is allowed him who gives evidence of a righteous life as an upright man.
If the underlying manifold is allowed to be infinite dimensional ( for example, a Hilbert manifold ), then one arrives at the notion of an infinite-dimensional Lie group.
However, Microsoft, Bungie's parent company at the time, contacted the group shortly after episode 2, and allowed them to continue without paying licensing fees.
Molecular orbitals arise from allowed interactions between atomic orbitals, which are allowed if the symmetries ( determined from group theory ) of the atomic orbitals are compatible with each other.
Outside of Europe another group of republics was created as the Napoleonic Wars allowed the states of Latin America to gain their independence.
: A quantifier after a token ( such as a character ) or group specifies how often that preceding element is allowed to occur.
The film was voted as the eighth best film set in Los Angeles in the last 25 years, by a group of Los Angeles Times writers and editors, with two criteria: " The movie had to communicate some inherent truth about the L. A. experience, and only one film per director was allowed on the list ".
The Big Lebowski was voted as the 10th best film set in Los Angeles in the last 25 years by a group of Los Angeles Times writers and editors with two criteria: " The movie had to communicate some inherent truth about the L. A. experience, and only one film per director was allowed on the list ".
Called MicroQuests, these inexpensive adventures allowed for group or solitary play.
Once the travellers had allowed the Thugs to join them and disperse amongst them-a task which might sometimes, depending on the size of the target group, require accompaniment for hundreds of miles-the Thugs would wait for a suitable place and time before killing and robbing them.
* A small group of Bohemian Brethren ( the " Hidden Seed ") from northern Moravia are allowed to settle in a new village, Herrnhut, on the Berthelsdorf estate of the pietist Count Nicolaus Zinzendorf in Upper Lusatia ( Saxony ), forming the Herrnhuter Brüdergemeine, seed of the Moravian Church's renewal.
The terms of the merger allowed Daimler-Benz's non-automotive businesses such as Daimler-Benz InterServices AG ( Debis ) ( created in 1989 to handle data processing, financial and insurance services, and real estate management for the Daimler group ) to continue to pursue their respective strategies of expansion.
The crew are allowed some time off during which they play football on the ice and a group photograph is taken.
This allowed Fox to make money in ways forbidden to the established networks, since during its first years it was considered to be merely a large group of stations.
The group had been variously assigned to the echinoderms, barnacles, annelids and mollusks, before the discovery of a fossil preserving soft tissue allowed a firm classification to the annelids, in 2008.

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