Since 43 is itself not divisible by any integer other than 1 and itself, then the number of this definition has the property of the definition itself.

Since there is a fixed set of rules that define whether or not the present year is a leap year, one could ( in principle ) eliminate the ceteris paribus clause from the analysis by rephrasing the sentence to " If the current month is February, and the current year is not evenly divisible by 4, then it will last only 28 days.

: Since n + 1 ∈ P and ( n + 1 ) + 1 ∈ P, and skipping those divisible by 2, all numbers are prime ( except those that are divisible by 2 ), due to induction.

Since the resulting error is always divisible by 9, accountants use this fact to locate the misentered number.

Since 14 is divisible by 7, this will be the first time in history since its inception that the Gregorian calendar will have the same day of the week for each day of the month for the whole year as the Julian calendar.

Since p is prime, for all n = 1, ..., p − 1 the binomial coefficient is divisible by p, which implies that

Since the th differences of the sequence are all equal to ( Finite difference ), the th differences would all be constant and equal to, which is certainly not divisible by.

Since 1960 it has been known that there exists an infinite number of both Sierpinski and Riesel numbers ( as solutions to families of congruences ) but, because there are an infinitude of numbers of the form or for any, one can only prove to be a Sierpinski or Riesel number through showing that every term in the sequence or is divisible by one of the prime numbers of the covering set.

Since ( see divisibility rule for a refresher ) 2135 is not divisible by 2, it is not divisible by 4 ; since 2 + 1 + 3 + 5

Since then, and since the pure grain had gotten him divorced from every decent -- and even indecent -- group from Greenwich Village to the Embarcadero, he had become a sucker-rolling freight-jumper.

Since most European cars average more miles per gallon of gasoline than American cars, it naturally follows that the cost per kilometer for these models will be less, but the greater seating capacity of the large American cars will equalize this, provided your group is sufficiently large to fill a 7-passenger limousine.

Since the writer had not noticed this characteristic in married students scattered throughout the various sections previous to this experiment, nor, as a matter of fact, in those who were continuing in `` single sections '', he can only conclude that there must have been something `` contagious '' within the specific group which caused this to occur.

Since its inception in the early 1990s, the group has carried out bombings, kidnappings, assassinations and extortion in what they describe as their fight for an independent Islamic province in the Philippines.

Since over the course of any single dance, individuals interact with not just their partners but everyone else in the set, contra dancing might be considered a group activity.

Since the consolidation of newspaper comics by the first quarter of the 20th century, most cartoonists have used a group of assistants ( with usually one of them credited ).

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 its origins, the viability of the carrier battle group has been dependent on its ability to remain at sea for extended periods.

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 the Somalis were one main ethnic group, they could only elect a single candidate and the two main fractions of that tribe in Djibouti, the Issa and the Gadabuursi each strove to win.

Since then, the tariff is calculated by a formula based on various factors such as the number of twist and somersaults, the height, the group etc., and divers are free to submit new combinations.

Since 1988, the group has also hosted Earth Celebration, which brings artists and enthusiasts from all over the world to Sado Island.

Since the American Civil War the term " discrimination " generally evolved in American English usage as an understanding of prejudicial treatment of an individual based solely on their race, later generalized as membership in a certain socially undesirable group or social category.

Since 1990 there has been an emergence of a German minority group, Elbinger Minderheit.

Since 20 July 2004, ELDR is politically represented in the European Parliament by the Alliance of Liberals and Democrats for Europe ( ALDE ) parliamentary group, formed in conjunction with the European Democratic Party.

Since the player names were being used as a group, the players had assigned their publicity rights to the players association who then signed licensing deals.

Since the fundamental group is a homotopy invariant, the theory of the winding number for the complex plane minus one point is the same as for the circle.

Since the stored energy in the barrier is less than the energy stored in a barrier-free region of the same length due to destructive interference, the group delay for the energy to escape the barrier region is shorter than it would be in free space, which according to Winful is the explanation for apparently superluminal tunneling.

Since the 1980s, various experiments have verified that it is possible for the group velocity of laser light pulses sent through specially prepared materials to significantly exceed the speed of light in vacuum.

Since each element of G is represented as a permutation, a group action is also known as a permutation representation.

Since then, Japanese noise rock group Boredoms have borrowed elements of grind, and toured with Brutal Truth in 1993.

Since then, pop singers in the latter group have included KK, Baba Sehgal, Alisha Chinai, Shantanu Mukherjee aka Shaan, Sagarika, Colonial Cousins ( Hariharan, Leslie Lewis ), Lucky Ali, and Sonu Nigam, and music composers like Jawahar Wattal, who made top selling albums with, Daler Mehndi, Shubha Mudgal, Baba Sehgal, Swetha Shetty and Hans Raj Hans.

Since the emergence of the post-1943 state and after the destruction of the Ottoman Caliphate, national policy has been determined largely by a relatively restricted group of traditional regional and sectarian leaders.

* The atomic mass unit ( u ) is defined so that a single carbon-12 atom has a mass of 12 u ; 1 u is approximately .< ref group =" note "> Since the Avogadro constant N < sub > A </ sub > is defined as the number of atoms in 12 g of carbon-12, it follows that 1 u is exactly 1 /( 10 < sup > 3 </ sup > N < sub > A </ sub >) kg .</ ref > The atomic mass unit is convenient for expressing the masses of atoms and molecules.

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 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.