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Page "Lie group" ¶ 13
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group and is
The content is not the same, however: rather than individual security, it is the security and continuing existence of an `` ideological group '' -- those in the `` free world '' -- that is basic.
Historically, however, the concept is one that has been of marked benefit to the people of the Western civilizational group.
The music director of the Pittsburgh Symphony Orchestra, William Steinberg, has molded his group into a prominent musical organization, which is his life.
With the group of boys it is different.
Nothing is more revealing of the way of life and literary aspirations of this group than their attitude toward sex.
This group is secularist and their program tends to be technological.
But the problem is one which gives us the measure of a man, rather than a group of men, whether a group of doctors, a group of party members assembled at a dinner to give their opinion, or the masses of the voters.
The group conducting the review is not holding formal hearings.
After allowing for group exposures, it is apparent that other factors must be considered if we are to comprehend fanaticism.
At Sounion there is a group of beautiful columns, the ruins of a temple to Poseidon, of particular interest at that time, as active reconstruction was in progress.
He is uncompromising in assigning guilt to the man who finds it necessary to inflict or permit injury to one individual or group for the sake of a larger good.
In the main stream of historical thinking is a group of scholars, H.M. Chadwick, R.H. Hodgkin, Sir Frank Stenton et al. who are in varying degrees sceptical of the native traditions of the conquest but who defend the catastrophic type of invasion suggested by them.
Although Patchen has given previous evidence of an interest in jazz, the musical group that he works with, the Chamber Jazz Sextet, is often ignored by jazz critics.
Patchen's musicians are outsiders in established jazz circles, and Patchen himself has remained outside the San Francisco poetry group, maintaining a self-imposed isolation, even though his conversion to poetry-and-jazz is not as extreme or as sudden as it may first appear.
Gov. Dalton's New Commerce and Industry Commission is moving to create a nine-state regional group in a collective effort to attract new industry.
Fortunately, there is a nursery school which he has been able to attend, with a group of normal children.
Perhaps Khrushchev is in a more difficult position than any since 1957, when the `` anti-party group '' nearly liquidated him.
When the fate of the individual is visited on the group, then ( the warm sweet butter dripped from her raised trembling fork and she pushed her head forward belligerently ), ah, then the true bitterness of existence could be tasted.
Mr. Claude is a specialist in torso development and he has long favored the now-famous Weider Push-Pull Super-Set technique in which one exercise of the Super-Set is a pressing or `` pushing '' movement which accents one sector of a muscle group in a specific way, followed by a `` pulling '' exercise which works the opposing sector of the same muscle group.

group and disconnected
This group is disconnected, but it has a connected subgroup SO < sub > n </ sub >( R ) of the same dimension consisting of orthogonal matrices of determinant 1, called the special orthogonal group ( for n = 3, the rotation group SO ( 3 )).
* Some totally disconnected groups, such as the Galois group of an infinite extension of fields, or the additive group of the p-adic numbers.
Formally, a profinite group is a Hausdorff, compact, and totally disconnected topological group: that is, a topological group that is also a Stone space.
As a totally disconnected group / has an open compact subgroup, and the pullback of such an open compact subgroup is an open, almost connected subgroup of.
When the theory contains an odd number of flavors of chiral fermions, the actions of gauge symmetries in the identity component and the disconnected component of the gauge group on a physical state differ by a sign.
... he results read as a disconnected chain of bizarre utterances, such as an imaginative mind could conjure up from any group of random letters ".
* every discrete group is totally disconnected
For a semisimple or disconnected compact Lie group the level consists of an integer for each connected, simple component.
More generally, the edge cut of G is a group of edges whose total removal renders the graph disconnected.
For a disconnected topological group, there is a unique universal cover of the identity component of the group, and one can take the same cover as topological spaces on the other components ( which are principal homogeneous spaces for the identity component ) but the group structure on other components is not uniquely determined in general.
A group will be seen as disconnected and not united if individuals forget steps or have to pause during the execution of the handshake.
* Disjunctive population, in population ecology, a group of plants or animals disconnected from the rest of its range
Mark McKay eventually also quit ( and disconnected himself from the group personally as well ) due to multiple issues including a lack of interest in the new material the band was writing.
" He concluded, " So disconnected and lunatic are the picture's incidents, so irrelevant and monstrous its people, that one lives through it in constant expectation of seeing a group of uniformed individuals appear suddenly from behind the furniture and take the entire cast into protective custody.

group and ;
He stood there, towering over them all: gentle, mighty, determined, the moving force in the group ; ;
It follows that teachers as a group cannot expect any marked salary increases ; ;
The State Ballet of Rhode Island, the first incorporated group, was formed for the purpose of extending knowledge of the art of ballet in the Community, to promote interest in ballet performances, to contribute to the cultural life of the State, and to provide opportunity for gifted dance students who, for one reason or another, are unable to pursue a career and to develop others for the professional state ; ;
Among primitive peoples the sanctions and dictates of religion were more binding than any of the other controls exercised by the group ; ;
In late childhood the influence of the group on the social behavior of the child continues to increase ; ;
The child in the primary grades can play harmoniously with one companion, but his desire to be first in everything gets him into trouble when the group gets larger ; ;
Again the problem is how to get it done and in what form to offer the group relations education ; ;
On the right is the Brumidi Liberty group, as it looked after cleaning operations, which had not yet come around to the other end ; ;
Each group is paginated separately ; ;
inculcated with the primacy of group acceptance and group standards ; ;
Religious faith can be considered a necessary condition of membership in a congregation, since the decision to join a worshiping group requires some motive force, but faith is not a sufficient condition for joining ; ;
The congregation is first and foremost an economic peer group ; ;

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