In the context of abstract algebra, for example, a mathematical object is an algebraic structure such as a group, ring, or vector space.

The automorphism group of an object X in a category C is denoted Aut < sub > C </ sub >( X ), or simply Aut ( X ) if the category is clear from context.

These ideas were unified by Kenneth Wilson in 1972, under the formalism of the renormalization group in the context of quantum field theory.

In a context where a conspiracy theory has become popular within a social group, communal reinforcement may equally play a part.

Collectivism is a basic cultural element that exists as the reverse of individualism in human nature ( in the same way high context culture exists as the reverse of low context culture ), and stresses the priority of group goals over individual goals and the importance of cohesion within social groups ( such as an " in-group ", in what specific context it is defined ).

A group of organizations which originated within the context of established religion is working in more general fields of cult-awareness, especially in Europe.

The term is usually used within the greater context of war, to denote an opposing group as a threat.

In the context of an immigrant group, folk music acquires an extra dimension for social cohesion.

That is, teachers provide phonics instruction opportunistically, within the context of stories or student writing that feature many instances of a particular letter or group of letters.

A more traditional example is interpreting the axioms of a particular algebraic system such as a group, in the context of a model provided by a specific group.

The group ’ s next release, Apocalypse ' 91 ... The Enemy Strikes Black, continued this trend, with songs like " Can't Truss It ", which addressed the history of slavery and how the black community can fight back against oppression ; " I Don't Wanna be Called Yo Nigga ", a track addresses on how the urban culture uses the word nigga outside of its usual derogatory context.

In the context of organizational behavior, following the view that a cohesive group is more than the sum of its parts, synergy is the ability of a group to outperform even its best individual member.

Sometimes, especially outside the U. S. and in the context of cable / satellite television, it is used instead of the term television network, which otherwise ( in its technical use above ) describes a group of geographically-distributed television stations that share affiliation / ownership and some or all of their programming with one another.

" While it is clear that the Cryptic Corporation has chosen to share this information publicly, no further confirmation — nor any context as to the roles of " Chuck " and " Bob " in the group, or if these names are, indeed, the names of the group's members — appears to have been issued to date.

Seventy percent of the DNA in any human genome is methylated, meaning it contains methyl group modifications within a CpG dinucleotide context.

Beside its usage in historical context, Moor and Moorish ( Italian and Spanish: moro, French: maure, Portuguese: mouro, Romanian: maur ) is used to designate an ethnic group speaking the Hassaniya Arabic dialect.

The term can legitimately refer to any form of psychotherapy when delivered in a group format, including Cognitive behavioural therapy or Interpersonal therapy, but it is usually applied to psychodynamic group therapy where the group context and group process is explicitly utilised as a mechanism of change by developing, exploring and examining interpersonal relationships within the group.

Such a situation regarding the Board of War could hardly have helped Morgan's chances for promotion when that matter came before the group later on.

Perhaps Khrushchev is in a more difficult position than any since 1957, when the `` anti-party group '' nearly liquidated him.

Its building was first proposed in 1791, when a group of citizens, mostly Newburyport men, petitioned the General Court for an act of incorporation.

Sometimes when there are many outcomes for a single trial, we group these outcomes into two classes, as in the example of the die, where we have arbitrarily constructed the classes `` ace '' and `` not-ace ''.

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 ; ;

After many years and many interruptions he was able to finish the canopy fresco, and slightly less than half the frieze, beginning with the Liberty group opposite the East door, and ending with William Penn, all but one leg, when a tragic accident ended his career.

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 ''.

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.

What a swinging group they must have been when they first started entertaining!!

the total process of evangelism reaches the crescendo when the group of new members stands before the congregation to declare publicly their faith and to be received into the fellowship of the Church.

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.

One such group got all incensed over shelled `` children '' when Helva was just turning fourteen.

The leader is only a spokesperson for the group when it has to deal with other groups (" international relations ") but has no inside authority, and may be violently removed if he attempts to abuse this position.

BZNS was made into a Communist puppet group until 1989, when it reorganized as a genuine party.

Arau appeared in the 1972 Mexican film El rincón de las vírgenes (" The Virgins ' Corner "), where he played the assistant of a fake mystical doctor traveling from town to town, who reminisce about their travels, when a group of women decide to propose the doctor for sainthood.

Alexander I or Aleksandar Obrenović ( Cyrillic: Александар Обреновић ; 14 August 1876 – 11 June 1903 ) was king of Serbia from 1889 to 1903 when he and his wife, Queen Draga, were assassinated by a group of Army officers, led by Colonel Dragutin Dimitrijević

Andrew left for his campaign in the summer 1213 when he was informed that a group of conspirators had murdered his queen on 28 September and he had to return.

At the lycée in Rennes when he was 15, he led of a group of boys who devoted much time and energy to poking fun at their well-meaning, but obese and incompetent physics teacher, a man named Hébert.

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.

He says, " It is of the vilest baseness to use horses in the war ," when the group hears several wounded horses writhe and scream for a long time before dying during a bombardment.

The break-through, however, came when the group of Becker-Ross in Berlin, Germany, built a spectrometer entirely designed for HR-CS AAS.

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.

Another group of animals discovered subsequently, whose filtering mechanism looked similar, was also included in " Bryozoa " until 1869, when the two groups were noted to be very different internally.

According to Elaine Hoffman, Gropius had approached the Dutch architect Mart Stam to run the newly founded architecture program, and when Stam declined the position, Gropius turned to Stam's friend and colleague in the ABC group, Hannes Meyer.

From a sociological and demographic perspective, the Big Brother franchise allows the opportunity for analysis of how people react when forced into close confinement with people who lie outside their comfort zone, since they may hold different opinions or ideals from other contestants, or simply belong to a different group of people than a contestant normally interacts with.