Because is a bijection, semigroup actions can be defined as functions which satisfies

Because of the means of publication -- science-fiction magazines and cheap paperbacks -- and because dystopian science fiction is still appearing in quantity the full range and extent of this phenomenon can hardly be known, though one fact is evident: the science-fiction imagination has been immensely fertile in its extrapolations.

Because the bobbin-to-cone winding process is a relatively high-cost operation for the mill, the almost complete automation provided by the Uniconer can mean important economies in textile production, at the same time upgrading quality.

Because of the unique design by the architect Egils Hermanovski, you can build most of it in your own home workshop in your spare time.

Because community not severalty of property is the law of nature no man can assert an absolutely unalterable right to what is his.

Because if you can't then nobody else can either, nobody else can have him.

Because oxygen concentration in the water increases at both low temperatures and high flow rates, aquatic amphibians in these situations can rely primarily on cutaneous respiration, as in the Titicaca water frog and the hellbender salamander.

Because and can be very similar numbers, the precision of the result can be much less than the inherent precision of the floating-point arithmetic used to perform the computation.

Because the percentage of each constituent can be varied, with any mixture the entire range of possible variations is called a system.

Because of the quantum mechanical nature of the electrons around a nucleus, atomic orbitals can be uniquely defined by a set of integers known as quantum numbers.

Because an alpha particle is the same as a helium-4 nucleus, which has mass number 4 and atomic number 2, this can also be written as:

: Because of associativity, the grouping parentheses can be omitted without ambiguity.

Because ending the game is optional, and a player may not realize that he can end it, it is unethical to say " good game ", or in any other way indicate that the game could be ended, until after a player actually has ended the game.

Because it is innervated by preganglionic nerve fibers, the adrenal medulla can be considered as a specialized sympathetic ganglion.

Because of the wide variety of evidence, which can include artefacts as well as sites, there is no one way to practice archaeoastronomy.

Because individuals with albinism have skin that entirely lacks the dark pigment melanin, which helps protect the skin from the sun's ultraviolet radiation, their skin can burn more easily from overexposure.

Because of the medical problems that can be caused by withdrawal, alcohol detoxification is carefully controlled and may involve medications such as benzodiazepines such as diazepam ( Valium ).

Using Zorn's lemma, it can be shown that every field has an algebraic closure, and that the algebraic closure of a field K is unique up to an isomorphism that fixes every member of K. Because of this essential uniqueness, we often speak of the algebraic closure of K, rather than an algebraic closure of K.

Because the differences between the prices are likely to be small ( and not to last very long ), this can be done profitably only with computers examining a large number of prices and automatically exercising a trade when the prices are far enough out of balance.

Because brass is not ferromagnetic, it can be separated from ferrous scrap by passing the scrap near a powerful magnet.

Because of his widespread correspondence with others throughout the British Isles, and due to the fact that many of the letters imply that Bede had met his correspondents, it is likely that Bede travelled to some other places, although nothing further about timing or locations can be guessed.

Because breasts are mostly fatty tissue, their shape can within limits be molded by clothing, such as foundation garments.

Because bipolar disorder can have a high rate of both under-diagnosis and misdiagnosis, it is often difficult for individuals with the condition to receive timely and competent treatment.

Because of this, is usually a more effective choice under these operating systems ; sensitivity for these two combinations can be enhanced by the CONFIG. SYS statement.

Because of this, only those with truly fine equipment will be able to appreciate the exact degree of the engineers' triumph.

Because Christianity teaches not only salvation in history, but salvation by the history of Christ, such an interpretation of death would require a drastic revision of the Christian understanding of the work of Christ.

Because the urn itself is so delicate, it has been allowed to travel to Australia only twice.

Because of the first proposition, God himself is thought as invisible and only recognizable in his creation.

In fact, Fitzmyer believes that the preface of Luke should only be “ the starting point in the discussion of the aim of Luke-Acts .” Because the author ’ s intended purpose for the Book of Acts is not that straightforward, scholars have put forth four main claims to address this.

Because it is a Sacred Mystery of the Church, only Orthodox Christians may receive it.

Because the English language has 40 sounds and only 26 letters, children and beginning readers also need to learn the different sounds ( phonemes ) associated with each letter.

Because grocery stores are not permitted to carry wine or liquor, the older law essentially meant that only beer and alcoholic malt beverages could be purchased at all on Sundays.

Because of this, the United States Air Force XB-70 Valkyrie program was cancelled in the early 1960s ; the later B-1B Lancer and B-2 Spirit aircraft entered service only after protracted political and development problems.

Because Justice John Paul Stevens had recused himself, only eight Justices heard the case, and it ended in a 4 – 4 tie.

Because the FLRW metric assumes a uniform distribution of mass and energy, it applies to our Universe only on large scales — local concentrations of matter such as our galaxy are gravitationally bound and as such do not experience the large-scale expansion of space.

Because a black hole eventually achieves a stable state with only three parameters, there is no way to avoid losing information about the initial conditions: the gravitational and electric fields of a black hole give very little information about what went in.

Because the fossil record of chordates is poor, only molecular phylogenetics offers a reasonable prospect of dating their emergence.

Because society needs people to do computing well, we must think of computing not only as a profession but also as a discipline.

Because Berlin was located within the Soviet-occupied zone of Germany and the other occupying powers had previously relied on Soviet good will for access to Berlin, the only available methods of supplying the city were three limited air corridors.

Because the de facto administration is recognized only by Turkey, it has had much difficulty arranging foreign financing, and foreign firms have hesitated to invest there.

Because of the specific transport mechanisms, only limited amounts of chromium ( III ) enter the cells.

Because the volatility of a comet's material decreases as it gets further from the Sun, the comet becomes increasingly difficult to observe as a function of not only distance, but the progressive shrinking and eventual disappearance of its tail and the reflective elements it carries.

Because the earthworms grind and uniformly mix minerals in simple forms, plants need only minimal effort to obtain them.

Because each governor held equal imperium to the equivalent magistrate, they were escorted by the same number of lictors ( 12 ) and could only be vetoed by a reigning Consul or Praetor.

Because they lack this key defence, only 0. 5 % of cane toads are estimated to reach adulthood.

Because of the switch to Portland cement, by the end of the 1920s of the 15 Rosendale cement companies, only one had survived.

Because of that the vehicle with the bridge on board is only 11. 6 m long, but the over all span length is 20 m. This is an increase of about 62 % over that of the older MTU-1.

Because only a fraction of the cells in a tumor die with each treatment ( fractional kill ), repeated doses must be administered to continue to reduce the size of the tumor.