Since in a majority of constellations the brightest star is designated Alpha ( α ), many people wrongly assume that Bayer meant to put the stars exclusively in order of their brightness, but in his day there was no way to measure stellar brightness precisely.

Since a proportion must be between 0 and 1, inclusive, the index α must be positive, but in order for the total income of the whole population to be finite, α must also be greater than 1.

Since α < sup > 1 </ sup > Crucis is a spectroscopic binary, this is actually a multiple star.

Since the analysis must typically go beyond two-loop perturbation theory, the definition of the running coupling α < sub > TC </ sub >( μ ), it ’ s fixed point value α < sub > IR </ sub >, and the strength α < sub > χ SB </ sub > necessary for chiral symmetry breaking depend on the particular renormalization scheme adopted.

Since the ordering on the ordinal numbers α < β if and only if α ∈ β, it is immediate that there is no ordinal number between α and S ( α ), and it is also clear that α < S ( α ).

Since g, α, and v < sub > 0 </ sub > are constants, the above equation is of the form

Since ω is odd these algebras are mixed by α ( the linear map on V defined by ):

Since α is a root of x < sup > 3 </ sup > + x < sup > 2 </ sup > + 1 then that means α < sup > 3 </ sup > + α < sup > 2 </ sup > + 1

Since Cronbach's α was published in 1951, there has been no known advantage to KR-20 over Cronbach.

Since α + iβ

Since then the trehalose hydrolyzing enzyme, trehalase ( α, α-trehalose-1-C-glucohydrolase, EC 3. 2. 1. 28 ) has been reported from many other organisms including plants and animals.

Since the energy states of valence tautomers affect the IVCT band, the strength of electronic interaction between the sites, known as α ( the mixing coefficient ), can be determined by analysis of the IVCT band.

Since the Supreme Court's decision of that year this is more doubtful ; ;

( Since the time-span of the nation-state coincides roughly with the separate existence of the United States as an independent entity, it is perhaps natural for Americans to think of the nation as representative of the highest form of order, something permanent and unchanging.

Since it is not far from Viareggio, he will visit Puccini's house, as he never fails to do, to pay his respects to the memory of the composer of La Boheme, which he considers one of Puccini's masterpieces.

Since attack serves to stimulate interest in broadcasts, I added to my opening statement a sentence in which I claimed that German youth seemed to lack the enthusiasm which is a necessary ingredient of anger, and might be classified as uninterested and bored rather than angry.

Since the air is a continuum, the network of communication remains intact regardless of the positions or motions of the points ( the people ) in the net.

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 difficulty of drawing the net is great, we will merely discuss it.

Since a civilizational crisis involves also a crisis in private interests and in the ruling class, reaction is normally found among those who feel themselves to be among the ruling class.

Since civilizational change is the most difficult to perceive and analyze, it seldom is given adequate attention.

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 more is known about Quiney than about any other acquaintance of Shakespeare in Stratford, his career may be followed to its sudden end in 1602.

Since the great flood of these dystopias has appeared only in the last twelve years, it seems fairly reasonable to assume that the chief impetus was the 1949 publication of Nineteen Eighty-Four, an assumption which is supported by the frequent echoes of such details as Room 101, along with education by conditioning from Brave New World, a book to which science-fiction writers may well have returned with new interest after reading the more powerful Orwell dystopia.

Since Laos is of no more purely military value to Moscow itself than it is to Washington, this approach might be expected to head off Mr. Khrushchev for the moment.

Since little is known about autism, and almost nothing has been written for the layman, we'd like to share one experienced mother's comments.

Since the work is done by hand, the only limitation, it is said, `` is that of human conception ''.

Since the apparatus is new, it requires experimentation and changes in technique.

Since the obvious is not always true, the Republican National Committee wisely analyzed its defeat of last autumn and finds that it occurred, as suspected, in the larger cities.

Since he has just shown who is top dog, he may not be ready to receive this highest honor in the gift of the Soviet people.

Since appeals to morality, to humanity, and to sanity have had such small effect, perhaps our last recourse is the deterrent example.

Since the goal of our international planners is a World Government, this Atlantic Community would mark a giant step in that direction for, once American economic autonomy is absorbed, a larger grouping is a question of time.

Since going into ecumenical communion with their respective Anglican body, bishops in the ELCA or the ELCIC not only approve the " rostering " of all ordained pastors, diaconal ministers, and associates in ministry, but they serve as the principal celebrant of all pastoral ordination and installation ceremonies, diaconal consecration ceremonies, as well as serving as the " chief pastor " of the local synod, upholding the teachings of Martin Luther as well as the documentations of the Ninety-Five Theses and the Augsburg Confession.

Since about 1970, the United States has become the principal ally of Israel, positioning it as a part of the Western World.

Since the principal consumer application is for Internet access, ISDN was mostly superseded by DSL in the early 21st century.

Since the 1920s, X-ray diffraction has been the principal method for determining the arrangement of atoms in minerals and metals.

Since the kth leading principal minor of a triangular matrix is the product of its diagonal elements up to row k, Sylvester's criterion is equivalent to checking whether its diagonal elements are all positive.

Since 1996, when Avon was abolished, Bath has been the principal centre of the unitary authority of Bath and North East Somerset ( B & NES ).

Since an investor earns a return on the original principal amount of the investment as well as on any prior period Investment income, investment earnings are " compounded " as time advances.

Since May 2011 the aircraft in principal use has been an MD Helicopters MD Explorer 902.

Since the county's creation, agriculture, timber, manufacturing, and commerce have been the principal economic activities.

Since the principal raw materials used to manufacture zeolites are silica and alumina, which are among the most abundant mineral components on earth, the potential to supply zeolites is virtually unlimited.

Since that day, Shango has been married to Oba, Oya, and Oshun, though Oshun is said to be considered his principal wife.

Since the 1920s, Lancaster had been the much larger and principal community of the Antelope Valley, as well as the rest of California's Mojave Desert.

Since then it is the principal town in the municipality of Utrechtse Heuvelrug.

Since the mid-19th century, however, tourism has been the principal business.

Since 2002, its principal conductor has been Sir Simon Rattle.

Since 2005 the Orchestra has been actively planning for the construction of a new principal concert hall.

Since the 2004 election defeat the party has been the principal opposition in parliament.

Since Belarus gaining its independence in 1991 Mahilyow remains one of its principal cities.

Since the reign of King George I the Cabinet has been the principal executive group of British government.

His principal works also include Ireland Since the Famine, the standard university textbook for Irish history from the mid-19th to late-20th century, and a biography of Charles Stewart Parnell.

Since 1995, Marvin Hamlisch has served as principal pops conductor.

Since 1875 various members of the Hoare family had been principal directors and maintained a controlling interest in the company.

Since there are no shear strain components in this coordinate system, the principal strains represent the maximum and minimum stretches of an elemental volume.

Since they had received a favorable response to African American characters they had previously done on radio, Gosden and Correll proposed that the principal characters be African Americans, Sam Smith and Henry Johnson, newly arrived in Chicago from rural Alabama.

Since the streamlining of the Taiwan Province in 1998, these subdivisions are regarded as the principal subdivisions of Taiwan.