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Page "Lie group" ¶ 25
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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 ; it has two connected components corresponding to the positive and negative values of the determinant.
* 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 has
I think that we are here also talking of the kind of fear that a young boy has for a group of boys who are approaching at night along the streets of a large city.
The publication of Father Connolly's The Man Has Wings has made more of the group available in print so that a general picture of what it contained can now be had without difficulty.
The spirit of this group was that we were -- and are -- living in a world doomed to eternal punishment, but that God through Jesus Christ has provided a way of escape for those who confess their sins and accept salvation.
The board of suspension of the Interstate Commerce commission has ordered a group of railroads not to reduce their freight rates on grain, as they had planned to do this month.
`` The established pattern of relative calm in the field of race relations has continued in all areas '', reported this group headed by Harold Colee of Jacksonville and including two South Floridians, William D. Singer and John B. Turner of Miami.
But a realization that each group has much of substance to learn from the other also developed, and a strong conviction grew that each had insights and dimensions to contribute to ethically acceptable solutions of urgent political issues.
For ten years a small group of European and U.S. critics has been calling attention to the half-forgotten Austrian expressionist Egon Schiele, who died 42 years ago at the age of 28.
At the University of Washington Medical School, the electronics group has developed the `` Respiratory Gas Analyzer '' shown in Fig. 3.
This push to confine the study of mass behaviour to the measurements of parameters involved in differential equations has led sociology perilously close to the reduction of the word `` mass '' to mean a small group in which certain relations between all pairs of individuals in such a group can be studied.
Within each chapter an effort has been made to group together those crystals with similar structures.
But certainly the New Frontier has brought to Washington a group more varied in background and interest.
If the change, at first sight, seems minor, we may recall that it took the Italian painters about two hundred years to make an analogous change, and the Italian painters, by universal consent, were the most brilliant group of geniuses any art has seen.
He said that the group has no candidates for the charter commission in mind at present, but that it will undoubtedly endorse candidates when the time comes.
Within the membership of this group, as has been found true of men in other professional or trade associations, the most ready portrayal of oneself to `` the public '' is that of a neutral agent simply serving the interests of a seller or buyer and mediating between them.
Data on the decline of property values in an area after a new racial group enters it has to be assessed in terms of the trends in property values before the group comes in.
It has controversially been argued by some evolutionary scientists such as E. O. Wilson that natural selection can act at the level of non-kin groups to produce adaptations that benefit a non-kin group even if these adaptions are detrimental at the individual level.

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