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.

Twenty years before a group of Easterners had bought out the Haskell claims in the rocky hills south of Grass Valley.

Rod shifted his eager eyes from the milling group out in the circle long enough to reply, `` I ain't much of a hand for Dare-Base and Farmer-in-the-Dell, but I'd sure like to get in on the handhold and wrestles ''.

Finally, as time began to run out, he headed into Ormoc and glide-bombed a group of houses that Intelligence had thought might contain Japanese supplies.

Tonight a group of men, tomorrow night he himself, would go out there somewhere and wait.

As a first step toward this goal, arrangements were worked out for comparing the scales now in use through circulation of a group of standard platinum resistance thermometers for calibration by each national laboratory.

We quickly ran into the same trouble that plagued Bill Ruger in his first experiments: Three or four bullets would be placed well in a six-inch bull at 100 yards and then, unaccountably, one could stray far out of the group.

A visit to the site by a group of several persons can usually bring out new ideas or verify opinions most helpful to the planning study of any recreation area.

As he points out, a religious group cannot exist without a collective credo, and the more extensive the credo, the more unified and strong is the group.

Of startling significance, too, is the assertion that it was possible to carry out this program with only a 6 percent attrition rate as compared with a rate of 59 percent reported for a comparable group of families who were receiving help in traditionally operated child guidance services.

This is not out of keeping with its origins, probably the most humble of any in the Ivy group.

As a theologian in the group pointed out, a professional was, before the modern period of technical specialization, one who `` professed '' to be a bearer and critic of his culture in the use of his particular skills.

The final group included folk songs from back home, stomped out, shouted and chanted with irresistible spirit and in cowboy costume.

This was a continuation of a good idea which was first tried out Saturday night when the Eddie Stack group, also local talent, went on first.

How altruism is framed, organized, carried out, and what motivates it at the group level is an area of focus that sociologists seek to investigate in order to contribute back to the groups it studies and " build the good society ".

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.

Colangelo's group was so certain that they would be awarded a franchise that they held a name-the-team contest for it ; they took out a full-page ad in the sports section of the February 13, 1995 edition of the state's leading newspaper, the Arizona Republic.

Since its inception in the early 1990s, the group has carried out bombings, kidnappings, assassinations and extortion in what they describe as their fight for an independent Islamic province in the Philippines.

Lastly, abiotic stress has enabled species to grow, develop, and evolve, furthering natural selection as it picks out the weakest of a group of organisms.

IAP also normally suppresses the activity of a group of cysteine proteases called caspases, which carry out the degradation of the cell, therefore the actual degradation enzymes can be seen to be indirectly regulated by mitochondrial permeability.

Cuyp probably first encountered a painting by van Goyen in 1640 when van Goyen was, as Stephen Reiss points out “ at the height of powers .” This is noticeable in the comparison between two of Cuyp ’ s landscape paintings inscribed 1639 where no properly formed style is apparent and the landscape backgrounds he painted two years later for two of his father ’ s group portraits that are distinctly van Goyenesque.

* It was also during the 1990s that the anime craze grew out of video games, and the youth group known as otaku began to pour into Akihabara.

According to one anecdote ( from Al Capp Remembered, 1994 ), Capp and his brother Elliot ducked out of a dull party at Capp's home — leaving Walt Kelly alone to fend for himself entertaining a group of Argentine envoys who didn't speak English.

Within this sonata form, the first group of the exposition starts out with a fugue before modulating to C major for the second part of the exposition.

The percentage of fluent speakers turns out to be even higher if those under 16 are also taken into account, given that the proportion of bilinguals is particularly high in this age group ( 76. 7 % of those aged between 10 and 14 and 72. 4 % of those aged 5 – 9 ): 37. 5 % of the population aged 6 and above in the whole Basque Autonomous Community, 25. 0 % in Álava, 31. 3 % in Biscay and 53. 3 % in Gipuzkoa.