Since for a cyclic group of even order, there is always a unique element of order 2, we can see that dicyclic groups are just a specific type of generalized dicyclic group.

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

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 he can neither accept nor reject them all, he must be governed by the time and energy available for his prime professional obligations.

Since a Skeletal Age rating can be made at any age during growth, from Elbow, Shoulder, Knee, or Foot as well as Hand, it seems to be the method of choice when one wishes to study most aspects of skeletal developmental progress during childhood.

A final class of exceptional lines is identifiable from the following considerations: Since no two generators of Af can intersect, it follows that their image curves can have no free intersections.

Since morale is closely related to pattern maintenance and integration, the higher the morale and solidarity, the better the system can solve the problems of the system.

Since effective area coverage appears fairly remote, the requirement can be borne in mind while considering the elements: air, surface, sub-surface, fixed installations, mines, and intelligence.

Since the load L, under actual cutting conditions is caused by Af, it can be seen that Af

Since we are considering here relatively small diameter ( 1 - 1.5 inches ) fiber plates, their average thickness can be kept below 1/4 inch and their internal losses may be assumed as 15 percent ( per plate ).

Since the change to better nutrition, he feels he can report on improvements in health, though he considers the following statements observations and not scientific proof.

Since rococo music tends to be pretty and elegant above all, it can seem rather vacuous to twentieth-century ears that have grown accustomed to the stress and dissonances of composers from Beethoven to Boulez.

`` Since we're having coffee with them this afternoon '', he said, `` I think I'll ask the daughter if we can pay her to come in every day to clean for us ''.

Since altruism takes away resources from the altruist it can be a " honest signal " of resource availability and the abilities needed to gather resources.

Since the minting of coins was a prerogative accorded in Islamic practice only to a sovereign, it can be considered that Osmanli became independent of the Mongol Khans.

Since in oral languages the elements of sound are for the most part produced linearly in time ( that is, in a word like cat the a sound comes after the c sound, and the t sound comes after that ), they can generally be easily written in a linear ( one-dimensional ) writing system such as an alphabet.

Since Java's bytecode is platform-independent, Java applets can be executed by browsers running under many platforms, including Windows, Unix, Mac OS, and Linux.

Since the fluctuations are assumed to be small, products of the fluctuation terms can be neglected ( to first order ) and we have

Since all anchors that embed themselves in the bottom require the strain to be along the seabed, anchors can be broken out of the bottom by shortening the rode until the vessel is directly above the anchor ( at this point the anchor chain is " up and down " in naval parlance ).

Since 4 % can be expressed as. 04, gives the amount of alcohol in terms of ml — which, when divided by, shows the number of units.

Since algorithms are platform-independent ( i. e. a given algorithm can be implemented in an arbitrary programming language on an arbitrary computer running an arbitrary operating system ), there are significant drawbacks to using an empirical approach to gauge the comparative performance of a given set of algorithms.

Since the target audience of pop music can vary greatly, so can the celebrated subject of the anthem.