Since moduli are defined by and J must transform as listed above under, only those moduli paired with 2-form basis elements of the correct parity under survive.

Since the release of Chrono Cross, Radical Dreamers is considered an alternate continuity of the Chrono series.

Since 1848, it has never been renewed entirely at the same time, providing a long-term continuity.

Since that point in Marvel continuity, it has been established that there are a few variations of this element which can be found in isolated regions all around the world.

Since its inception, the newly created Department of Homeland Security has conducted at least three exercises to test continuity plans.

Since the debates about whether the future independent Estonia would be established as a new republic or a continuation of the first republic were not yet complete by the time of the August coup, while the members of the Supreme Soviet generally agreed that independence should be declared rapidly, a compromise was hatched between the two main sides: instead of " declaring " independence, which would imply a new start, or explicitly asserting continuity, the declaration would " confirm " Estonia as a state independent of the Soviet Union, and willing to reestablish diplomatic relations of its own accord.

Since then, in Ultimate Comics: Spider-Man, Spidey, Iceman, and the Human Torch have begun living together at Aunt May's house and have been working as a team as another homage to the series ( because Liz, as Firestar, was a member of the X-Men in this continuity ).

Since John Wansbrough's contributions to the field in the early 1970s, though, scholars have become much more attentive to the emergent nature of early Islam, and less willing to accept back-projected claims of continuity:

Since the creation of the Vertigo imprint ( itself largely inspired by the success of DC Comics ' increasingly mature titles such as Swamp Thing, Watchmen, Hellblazer, and The Sandman ), DC's horror / occult characters such as Morpheus have drifted progressively further away both from DC continuity and from each other.

Since rebranding, all continuity announcements are made from London.

Since 2006, Channel, whilst being fiercely independent and regional, has now adopted a variation of the national ITV1 network branding and also shares continuity, due to it receiving a non-clean feed of networked programming from Meridian Broadcasting.

Since the Aeolian Quartet's predecessor the Stratton Quartet had made the 1933 recording of the Elgar quintet, this Aeolian version ( through the continuity in the group of Watson Forbes ) has the authority of a tradition going back to the composer.

Since DC ’ s continuity was rewritten in the 1985 series Crisis on Infinite Earths, Hawkman ’ s history has become muddled with several new versions of the character appearing throughout the years, some associated with ancient Egypt and some with the fictional planet Thanagar.

Since the stories and settings in the books and films all diverge, Clarke suggested that the " continuity " of the series represents happenings in a set of parallel universes.

Since mass, energy, momentum, electric charge and other natural quantities are conserved under their respective appropriate conditions, a variety of physical phenomena may be described using continuity equations.

Since Y ≤ 7 ( weak inequality ) if and only if Y < 8 ( strict inequality ), we use a continuity correction and seek

Since most episodes do not feature extensive continuity, FUNimation has chosen to take advantage of this by producing episodes of the series out of their original order.

Since the start of 1993, continuity announcements and trailers referred increasingly to " UTV ", and the station's news service was rebranded as UTV Live.

Since Frasier mentioned in an episode of Cheers that he was Episcopalian, it is assumed that Martin and Niles are Episcopalian as well ; however continuity issues within Cheers throw this conjecture into jeopardy, as Frasier also mentions in a Cheers episode that he had no formal religious upbringing ( in one episode, he stated that his father was a scientist who died before Frasier became a psychiatrist ).

Since this follows the possible continuity changes of the " Crisis Trilogy ," it is unclear whether the Rival is still in possession of Mercury's original body.

Since none of the above is actually mentioned in either movie, this is not necessarily considered canonical, and Wood contradicts his own continuity when one compares his scripts and his novelisations.

St. Thomas Aquinas in his Commentary on the Master of the Sentences thus explains its peculiar use: " Since it is requisite for the remission of sin that a man cast away entirely the liking for sin which implies a sort of continuity and solidity in his mind, the act which obtains forgiveness is termed by a figure of speech ' contrition '" ( In Lib.

Since other comic companies had given out prizes for pointing out oversights and continuity errors in their books, Lee started doing the same thing, and awarded No-Prizes to people who found errors in the Marvel line of books — which at the time was quite a feat since Marvel was well known for its rigorous continuity.

Since the hazards of poor communication are so great, p can be justified as a habitable site only on the basis of unusual productivity such as is made available by a waterfall for milling purposes, a mine, or a sugar maple camp.

Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.

Since we can neither undo nor redo the past, we are limited to the events of today and tomorrow.

Since the recognition of Israel as a nation state, claims are made in many cases which identify the claimant as a member of the new body politic.

Since accurate base maps are necessary for any planning program, the first step taken by the planning division to implement the long-range state plan has been to prepare two series of base maps -- one at a scale of 1 inch to a mile, and the second a series of 26 sheets at a scale of 1 inch to 2000 feet, covering the entire state.

Since conventional methods are insensitive at the low frequencies of these molecular transitions, the paramagnetic resonance method is being used instead.

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 provision of skywave service requires adequate freedom from interference, only class 1, stations are capable of rendering skywave service.

Since the sides are also covered up to the spray rails, they are also rough-sanded in that area.

Since fly cutters are one sided and not balanced, they should be used at the slowest speed available, and fed very slowly to avoid binding.

Since there are almost no schools in the country offering graduate work in interior design this rule cannot at present be observed.

Since charges are relatively the same, reserving a car before you leave for Europe will assure you of having one on tap when you want it.

Since practical washing procedures are both lengthy and expensive, a number of laboratory tests have been developed for the numerical evaluation of detergents.

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 emotional reactions in the higher vertebrates depend on individual experience and are aroused in man, in addition, by complex symbols, one would expect that the hypothalamus could be excited from the cortex.

Since Af are distinct prime polynomials, the polynomials Af are relatively prime ( Theorem 8, Chapter 4 ).

Since D and D' are both diagonalizable and they commute, they are simultaneously diagonalizable, and Af is diagonalizable.

Since N and N' are both nilpotent and they commute, the operator Af is nilpotent ; ;

Since Af are linearly independent functions and the exponential function has no zeros, these R functions Af, form a basis for the space of solutions.

Since the choice is by lot each week, the outcomes of different trials are independent.

Since two curves of symbol Af on Q intersect in Af points, it follows that there are Af lines of Af which are tangent to Aj.