The actual symmetry groups in each of these cases have two degrees of freedom for the center of rotation, and in the case of the dihedral groups, one more for the positions of the mirrors.

An actual measurement reflects only one solution, representing a breakdown in the symmetry of the underlying theory.

The actual symmetry group should be distinguished from the wallpaper group.

There are 17 of these collections, but for each collection there are infinitely many symmetry groups, in the sense of actual groups of isometries.

The actual symmetry group is specified by the point or axis of symmetry, together with the n. For each point or axis of symmetry the abstract group type is cyclic group Z < sub > n </ sub > of order n. Although for the latter also the notation C < sub > n </ sub > is used, the geometric and abstract C < sub > n </ sub > should be distinguished: there are other symmetry groups of the same abstract group type which are geometrically different, see cyclic symmetry groups in 3D.

In actual full QCD, the small quark masses further break the chiral symmetry explicitly as well.

The actual discrete symmetry group of a translationally symmetric pattern can be:

The set of translationally symmetric patterns can thus be classified by actual symmetry group, while actual symmetry groups, in turn, can be classified as type 1 or type 2.

Thus the actual symmetry group contains elements of the form gag < sup >− 1 </ sup >= b, which is a conjugate of a.

Although classified as camps there were no actual permanent camps ; instead, organized groups moved with their family from project to project, for which a rental allowance was issued in their pay.

They assert that by defining crimes as being committed by one group against another, rather than as being committed by individuals against their society, the labeling of crimes as “ hate crimes ” causes groups to feel persecuted by one another, and that this impression of persecution can incite a backlash and thus lead to an actual increase in crime.

He described Gnostic groups as sexual libertines, for example, when some of their own writings advocated chastity more strongly than did orthodox texts-yet the gnostic texts cannot be taken as guides to their actual practices, about which almost nothing is reliably known today.

Many opponents of school choice such as Martin Carnoy argue that public schools perform similarly to private schools when teaching similar groups of students, and that the conception of public schools as " failing " in comparison to private schools is more due to the demographic differences between public and private schools than to actual differences in the quality of the education the schools offer.

Their views are scattered throughout the Marx / Engels Collected Works and address past or the then extant state forms from an analytical or tactical viewpoint, not future social forms, speculation about which is generally anathema to groups considering themselves Marxist but who, not having conquered the existing state power ( s ) are not in the situation of supplying the institutional form of an actual society.

Parliamentary elections were held on 27 April 1993. International groups assisted in the organization of the elections and observed actual balloting.

Different groups of plants have other modifications, the so-called stone fruits ( such as the peach ) have a hardened fruit layer ( the endocarp ) fused to and surrounding the actual seed.

books as " spiritual guides but not as actual source material ," it incorporated competing conspiracies of the Bavarian Illuminati and Discordians and others, though no characters or groups specific to the novels.

The actual data mining task is the automatic or semi-automatic analysis of large quantities of data to extract previously unknown interesting patterns such as groups of data records ( cluster analysis ), unusual records ( anomaly detection ) and dependencies ( association rule mining ).

Meanwhile, the United States Department of Defense restricts the term " terrorist " to groups that do actual bodily harm.

The actual allotment of funds is based on a list of diagnosis-related groups ( DRG ).

Different heuristics were used for different demographic groups, and actual knowledge of biotechnology played a small role in opinion formation.

The training groups were formed for later Vostok missions, ( Vostok 7 – 13 ) but no actual crews were assigned and the missions did not occur under the auspices of the original Vostok program.

Upon any initial alert from headquarters, these airborne groups proceed to pre-identified aerial points around the globe called " fail-safe points " to await an actual " go code " before proceeding towards Russian targets.

Later shows built a tight theme, sometimes acting as a metaparody — such as the Emmy-winning " Moral Majority " episode where advertisers and special interest groups forced significant changes to SCTV's programming ; " Zontar ", a parody of the Larry Buchanan film Zontar, The Thing from Venus which featured an alien race seeking to kidnap SCTV's on-air talent for " a nine-show cycle plus three best-ofs " ( which was the actual deal NBC worked out with SCTV that season ); and an ambitious parody of The Godfather featuring an all-out network war over pay television between SCTV, CBS, NBC, ABC, and PBS-the last featured mafia-style hits on the sets of The Today Show, Three's Company, and The NFL Today as well as an extended sequence with guest star John Marley as an off-beat Leonard Bernstein, spoofing his Godfather role of Hollywood mogul Jack Woltz.

However, many critics argue that despite this official view, assimilationist attitudes remain deeply entrenched, and popular views and actual power relationships create a situation in which Chinese nationalism has in practice meant Han dominance of minority areas and peoples and assimilation of those groups.

These groups are said to total 18 million according to official statistics, but some observers say the actual number may be much higher.

Cavalli-Sforza initiated a new field of research by combining the concrete findings of demography with a newly-available analysis of blood groups in an actual human population.

The Paradox of Roles, in which an evaluator is conflicted by being both peer and the judge ; the Paradox of Group Performance, which admits that the vast majority of work done in a corporate setting is done in groups, not individually ; the Measurement Paradox, which shows that qualitative, or in-person techniques are much more effective in facilitating change ; and the Paradox of Rewards, which shows that individuals evaluating their peers care more about the rewards associated with finishing the task than the actual content of the evaluation itself.

Some correlation has been seen between actual stock market movements and prediction data from large groups in surveys and prediction games.

Prophets of Da City became known as a premier hip hop crew, though a South Africanized style of hip hop known as kwaito soon replaced actual hip hop groups.

In 2004, the format changed once again, returning to a format similar to that of the 1996-2000 tournaments, with five teams each playing in two qualifying groups and Australia and New Zealand seeded to the actual tournament, played as a group stage of six, with a home and away Final played between the two highest-placed teams.

" Kramer, however, explains that these groups failed to understand the real theme of the film and the actual court trial it portrayed:

To establish an emotionally meaningful relationship the worker must demonstrate actual or potential helpfulness immediately, preferably within the first interview, by meeting the client's specific needs.

When the index words or electronic switches are reserved because of actual usage in the statements described above, the position or order of the statements within the program is not important ; ;

semantics are very strong: they guarantee that the read and write operations to the variable behave exactly as if they happened instantaneously in some point in time which is within the actual time where the operation took place.

Informed sources report that the actual number is closer to 100, with the 50 % decline over the last four years attributable to the lack of ability within the FSC in administering insurance companies.

Some forms of Islamic law, as in Saudi Arabia, may require capital punishment, but there is great variation within Islamic nations as to actual capital punishment.

But they are all in the CISC category because they have " load-operate " instructions that load and / or store memory contents within the same instructions that perform the actual calculations.

It can be used literally ( an observed series of actual collisions ) or metaphorically ( causal linkages within systems such as global finance or politics ).

The actual numbers of officials and ratios per inhabitant varied, of course, per diocese depending on the number of provinces and population within a diocese.

The exact term was not used by Marx in any of his works, and the actual presence of " dialectical materialism " within his thought remains the subject of significant controversy, particularly regarding the relationship between dialectics, ontology and nature.

Since Arafat's death, he is formally head of Fatah's political bureau and chairman, but his actual political following within Fatah appears limited.

Flirting usually involves speaking and behaving in a way that suggests a mildly greater intimacy than the actual relationship between the parties would justify, though within the rules of social etiquette, which generally disapproves of a direct expression of sexual interest.

Targets are divided into two general categories of materials: placer deposits, consisting of valuable minerals contained within river gravels, beach sands, and other unconsolidated materials ; and lode deposits, where valuable minerals are found in veins, in layers, or in mineral grains generally distributed throughout a mass of actual rock.

While thermodynamic equilibrium determines the theoretical extent of a given mass transfer operation, the actual rate of mass transfer will depend on additional factors including the flow patterns within the system and the diffusivities of the species in each phase.

Unfortunately, this seldom occurs in nature: localisation of gamete exchange-through dispersal limitations, or preferential mating, or cataclysm, or other cause-may lead to small actual gamodemes which exchange gametes reasonably uniformly within themselves, but are virtually separated from their neighbouring gamodemes.

Even though the concept of mice causes marked distress and impairment within the individual, because the individual does not encounter mice in the environment no actual distress or impairment is ever experienced.

At the same time, even within societies which allow polygyny, the actual practice of polygyny occurs relatively rarely.

Many economists working within the neoclassical paradigm argue that there is a natural rate of unemployment which, when subtracted from the actual rate of unemployment, can be used to calculate the negative GDP gap during a recession.

Infrastructure has been allowed to crumble, and characters who reside within ' paid avoidance zones ' receive compensation from the government in lieu of actual services.

Communicating through infantile gibberish or babbling, the Teletubbies were designed to bear resemblance to actual toddlers dwelling within a beautiful, grassy floral landscape that is also populated by rabbits with bird calls audible in the background.

It was accepted that if the deadline had been contained within the actual text of the amendment itself, Congress could not have extended it, as doing so would involve changing the text of an amendment already ratified by some of the states.

To avoid this controversy with the 1978 constitutional amendment proposed to grant congressional representation to the residents of Washington, D. C., Congress returned to the habit of placing the deadline within the actual text of the amendment itself.

The rule applies at all levels within the hierarchy: the sum of the work at the “ child ” level must equal 100 % of the work represented by the “ parent ” and the WBS should not include any work that falls outside the actual scope of the project, that is, it cannot include more than 100 % of the work … It is important to remember that the 100 % rule also applies to the activity level.

Compliance is established by comparing actual emissions with permits surrendered including any permits traded within the cap.

The first use of rams within the actual Mediterranean Basin, featuring in this case the simultaneous employment of siege towers to shelter the rammers from attack, occurred on the island of Sicily in 409 BC, at the Selinus siege.

But Coordinated Universal Time ( UTC ) ( an atomic-based time scale which is always kept within 0. 9 second of UT1 ) is in common actual use in the UK, and the name GMT is often inaccurately used to refer to it.