Since every manifold is a super manifold, a Lie supergroup generalises the notion of a Lie group.

Since a vector field is a derivation of zero degree on the algebra of smooth functions, the Lie derivative of a function along a vector field is the evaluation, i. e., is simply the application of the vector field.

Since the use of Lie group methods became one of the standard techniques in twentieth century mathematics, many phenomena can now be referred back to decompositions.

Since is a Lie algebra automorphism, eigenvalues are multiplicative.

Since the commutator ij − ji = 2k, the Lie bracket in this algebra is twice the cross product of ordinary vector analysis.

In February 2012, Henry moved to Sydney, Australia to join Network Ten's morning show Breakfast as a co-host. The show debuted on 23 February 2012 and trails behind its three main rivals Sunrise on the Seven Network, Today on the Nine Network, and ABC News Breakfast on ABC1 Since moving to Australia, Henry maintains work in New Zealand media as an Australian correspondent for Radio Live and as the host of Would I Lie to you?

Since the demise of Commodore, various groups have marketed successors to the original Amiga line, including Genesi, Eyetech, ACube Systems and A-EON Technology, and AmigaOS has influenced replacements, clones and compatible systems such as MorphOS, AmigaOS 4 and AROS.

Since then groups that are not affiliated to the Santo Daime have used ayahuasca, and a number of different ' styles ' have been developed, such as the non-religious approach developed by Daniel Waterman in 2001, popularly termed Ayahuasca Open Style ( AOS ).

Since its original 1973 Broadway production, the musical has enjoyed professional productions in the West End, by opera companies, in a 2009 Broadway revival, and elsewhere, and it is a popular choice for regional groups.

Since that time, efforts to use biological warfare has been more apparent in small radical organizations attempting to create fear in the eyes of large groups.

Chaplin decided not to re-enter the United States, writing: " Since the end of the last world war, I have been the object of lies and propaganda by powerful reactionary groups who, by their influence and by the aid of America's yellow press, have created an unhealthy atmosphere in which liberal-minded individuals can be singled out and persecuted.

Since the independence in 1975 the official statistics in Cape Verde have no longer made statistics based on racial groups.

Since the reunions in the UK and Australia in 1957, two generations of Christadelphians have grown up with little awareness of the existence of the minority " fellowships ", or awareness that the main group is called " Central " by the minority groups.

Since the 1980s theologians from the Oriental ( non-Chalcedonian ) Orthodox and Eastern ( Chalcedonian ) Orthodox churches have been meeting in a bid to resolve theological differences, and have concluded that many of the differences are caused by the two groups using different terminology to describe the same thing ( see Agreed Official Statements on Christology with the Eastern Orthodox Churches ).

Since at least the 1940s, the approach of traditional Christians was to apply the meaning of cult such that it included those religious groups who use other scriptures beside the Bible or have teachings and practices deviating from traditional Christian teachings and practices.

Since Cauchy sequences can also be defined in general topological groups, an alternative to relying on a metric structure for defining completeness and constructing the completion of a space is to use a group structure.

Since then differences between the Hasidim and their opponents have slowly diminished and both groups are now considered part of Haredi Judaism.

Since the Marxist revolution in 1978, the city has been a target of foreign-backed militant groups such as the Mujahideen, Taliban, Haqqani network, Hezbi Islami, and others.

Since the rebranding in 2010, Sporting have seen dramatic growth in their fan section, with several fan groups adding their voice to The Cauldron culture and atmosphere.

Since 1999, the education laws have forbidden the public universities to instruct students in languages other than Latvian ( there are exclusions made for linguistics, some international projects and non-budget groups ).

Since the 1970s the city has also been home to a rich, if fluctuating, array of independent theatre groups and some show / musical companies.

Since the enactment of EU legislation concerning the concentration of particulate in the air, environmental groups such as Greenpeace have staged large protest rallies to urge the city council and the State government to take a harder stance on pollution.

Since the mid-1980s, geometric group theory, which studies finitely generated groups as geometric objects, has become a particularly active area in group theory.

Since all people including the most isolated indigenous groups such as the Andamanese or the Tasmanian aboriginals possess language, then it was presumedly present in the ancestral populations in Africa before the human population split into various groups to inhabit the rest of the world.

Since the 1990s, there have been organized Hellenic groups practising in Greece.

Since then, it has become clear that the Plantae as originally defined included several unrelated groups, and the fungi and several groups of algae were removed to new kingdoms.

Since the Chechen separatists had declared independence in the early 1990s, an intermittent guerrilla war was fought between the rebel groups and the Russian military.

Since the state controls the means of coercion, and given the dependence of many groups in civil society on the state for achieving any goals they may espouse, state personnel can to some extent impose their own preferences on civil society.

Since the early 1990s, the legitimatization of the principle of national self-determination has led to an increase in the number of conflicts within states, as sub-groups seek greater self-determination and even full secession, and as their conflicts for leadership within groups and with other groups and with the dominant state become violent.

Since broadcast frequencies are very limited in number, these objectives are to some extent inconsistent in that not all of them can be fully realized, and to the extent that each is realized, there is a corresponding reduction of the possibilities for fullest achievement of the others.

Since the concept of high fidelity became important some dozen years ago, the claims of technical improvements have multiplied tenfold.

Since the circulating thyroid hormones are the amino acids thyroxine and tri-iodothyronine ( cf. Section C ), it is clear that some mechanism must exist in the thyroid gland for their release from proteins before secretion.

Since 1917 some thirteen supplementary and related acts have extended this Federal program.

Since then he had worked at this and that, though some said his main interest was gambling.

Since the railroad cannot reduce the salary of individual union members under contract, it must accomplish its payroll reduction by placing some of the men on furlough, a B. & O. spokesman said.

Since the Protestant clergy for the most part wear gray or some variant from the wholly black suit, my Roman collar and black garb usually identify me in England as a Roman Catholic cleric.

Since some of the Roman months were named in honor of divinities, and as April was sacred to the goddess Venus, the Festum Veneris et Fortunae Virilis being held on the first day, it has been suggested that Aprilis was originally her month Aphrilis, from her equivalent Greek goddess name Aphrodite ( Aphros ), or from the Etruscan name Apru.

Since p ( x ) is irreducible, this means that p ( x ) = k ( x − a ), for some k ∈ F

Since amateurs often do not have formal training, some amateur work may be considered sub-par.

Since the 1970s, self-help books, psychology, and some modern expressions of Christianity have viewed this disparity in terms of grace being an innate quality within all people who must be inspired or strong enough to find it: something to achieve.

Since some modern scholars do detect subtle theological and historical differences between the texts, such scholars do not subscribe to the rough-draft / polished-draft theory.

Since 1998, Harvard University wraps some of the valuable statues on its campus, such as this " Harvard Bixi | Chinese stele ", with waterproof covers every winter, in order to protect them from erosion caused by acid rain.

Since 31 December 2003, the system has been closed to new users, at that time, it covered 100 % of the Spanish population, but now some antennas have been given to GSM operators.

The former main altar of the hermitage church in Warfhuizen in the Netherlands with a mural of Anthony the Abbot and a reliquary with some of his relic s. Since then they have been moved to a new golden shrine on a side-altar especially made for them.

Since 1998, Harvard University wraps some of the bronze and marble statues on its campus, such as this " Harvard Bixi | Chinese stele ", with waterproof covers every winter, in order to protect them from erosion caused by acid rain ( or, actually, acid snow )

Since they were essentially itinerant, they confided to the care of some of the better educated and highly respected converts the fixed necessary functions relating to the daily life of the community.

Since then, astrophysicists have formulated further hypotheses to account for some discrepancies that have arisen within the model.

Since the 1990s, violent conflict has occurred between some transmigrant and indigenous populations ; in Kalimantan, thousands were killed in fighting between Madurese transmigrants and the indigenous Dayak people.

Since the 1970s Bambara has mostly been written in the Latin script, using some additional phonetic characters.

Let A be a unital commutative Banach algebra over C. Since A is then a commutative ring with unit, every non-invertible element of A belongs to some maximal ideal of A.

Since B < sub > n </ sub >= 0 for all odd n > 1, and many formulas only involve even-index Bernoulli numbers, some authors write B < sub > n </ sub > instead of B < sub > 2n </ sub >.

Since the dawn of Newtonian science with its vision of simple mechanical principles governing the entire universe, some philosophers have been tempted by the idea that consciousness could be explained in purely physical terms.

Since the end of Capoeira prohibition, knifes or razors are unlikely to come around the roda, so usually this toque is played only in some presentations.

Since Mahayana Buddhists recognise the consumption of meat to be cruel and devoid of compassion, some Mahayana Buddhists are often vegetarians.