Because of the similar conditions, both reactions in the E1 or E1cb elimination always compete with the S < sub > N </ sub > 1 substitution.

Because of the similar conditions and reagents, the E2 elimination is always in competition with the S < sub > N </ sub > 2-substitution.

Because each integral runs over all possible values of x, each multi-particle state appears N!

Because the exponential map is surjective on some neighbourhood N of e, it is common to call elements of the Lie algebra infinitesimal generators of the group G. The subgroup of G generated by N is the identity component of G.

* Because < math > N < M </ math >, every file of length keeps its size during compression.

Because one operator and two operands are removed and one operand is added, there is a net loss of one operator and one operand, which still leaves an expression with N operators and N + 1 operands, thus allowing the iterative process to continue.

Because of this backside attack, S < sub > N </ sub > 2 reactions result in a reversal of the configuration of the electrophile.

Because Hitler had appointed Dönitz his successor in his last will and testament, well into the 1950s the Nationalist Socialist fanatic Dönitz continued to insist that he was still President of Germany, and that the N. S. D. A. P should still be the only legal party in Germany.

Because the total currents N < sub > n </ sub > i < sub > n </ sub > contribute to Φ < sub > m </ sub > it also follows that L < sub > m, n </ sub > is proportional to the product of turns N < sub > m </ sub > N < sub > n </ sub >.

Because there are fast algorithms for the DHT analogous to the fast Fourier transform ( FFT ), the DHT was originally proposed by R. N. Bracewell in 1983 as a more efficient computational tool in the common case where the data are purely real.

Because the N character in Morse code requires less time to send than the 9, during amateur radio contests where the competing amateur radio stations are all using Morse code, the nines in the RST are typically abbreviated to N to read 5NN.

Because S, V, and N < sub > i </ sub > are extensive variables, Euler's homogeneous function theorem allows easy integration of dU:

Because of this the correctness of the original age estimates were repeatedly called into question ,< ref > Aldred, C., < cite > Akhenaten, King of Egypt </ cite > ( Thames and Hudson, 1988 ) p. 202 </ ref >< ref > Reeves, C. N., < cite > The Valley of the Kings </ cite > ( Kegan Paul, 1990 ) p. 49 </ ref >< ref > Bell, M. R., < cite >" An Armchair Excavation of KV 55 ", JARCE 27 ( 1990 )</ cite > pp. 135 </ ref > and prior to the genetic tests done in early 2010, several professional opinions were made suggesting a much later age for the skeletal remains, pointing to an age of about 35 years based on dentition or even later ( based on anthropological standards and more-recent X-rays of the long bones ).< ref > Reeves, C. N, < cite > Akhenaten, Egypt's False Prophet </ cite > ( Thames and Hudson, 2001 ) p. 84 </ ref > It must be remembered that it is very difficult to date a mummy's age, and there are many differing opinions on the legitimacy of dating techniques.

Because of an additional All-Star Game played each season from 1959 to 1962, Gibson was named to the second 1962 N. L.

Because of this standard double primer cup protection, French military issue " Balle D " and " Balle N " ammunitions are safe inside a Lebel's tube magazine.

Because of the sudden popularity of N scale model railroading around 1966, Bachmann entered the trains market by starting its N scale trains products in June 1968, with cars packaged in white jewel cases.

Because it orbits relatively close to Mars, Deimos cannot be seen north of 82. 7 ° N or south of 82. 7 ° S ; such latitudes will obviously not see transits either.

Because the summer was unusually dry and hot, the spring produced a smaller stream than in ordinary years.

Because he couldn't hear them, he was more convinced they were there.

`` Because I'm asking.

Because, like many other children, he intensely disliked practicing Czerny Etudes, he composed his own studies.

Because of the political upheaval in Germany in the 1930's, Steinberg was forced to restrict his activities to the Jewish community.

Because the private eye intends to save society in spite of himself, he invariably finds himself in trouble with the police.

Because the responsibility for resolving the issue lay with the President, rather than with his doctors, nothing raises more surely for us the difficulties simple goodness faces in dealing with complex moral problems under political pressure.

Because motion which begins and ends at discrete places would ( e.g. for Aristotle ) be incomplete.

Because of its wealth of experience, the Organization for European Economic Cooperation could help with the initial studies needed.

The maid then told her, `` Because he fired me ''.

Because Bright's speeches were so much a part of him, there are long and numerous quotations, which, far from making the biography diffuse, help to give us the feel of the man.

`` Because, Fred, it could do him no good.

Because God is what He is, the laws of the universe, material and spiritual, are what they are.

Because of these involvements in the matter at stake, Boniface lacked the impartiality that is supposed to be an essential qualification for the position of arbiter, and in retrospect that would seem to be sufficient reason why the English embassies to the Curia proved so fruitless.

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 buses would not stop on the parkway, land for bus stations and for parking areas nearby will be needed.

Because, honey, I thought silently, there are plenty of desert islands in every marriage -- long periods when you're hopelessly stranded, together.

Because they were new men and to be sure that they didn't get lost, Prevot had placed Warren and White in the center of the patrol as it filed out.

Because administration of the forest highway system is a responsibility of the Secretary of Commerce with maintenance provided by the States and counties, this Development Program for the National Forests does not include estimates of the funds needed to maintain the forest highway system nor to construct the additions to it that are needed.

Because of the difference between daytime and nighttime propagation conditions, it has been necessary to evolve different allocation structures for daytime and nighttime broadcasting in the AM band, with many more stations operating during the day than at night.

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 scientific instruction and research involve increasingly large sums of money, an institution should choose its fields of prominence.

Because they are `` minority '' exercises and have but a limited appeal they soon find themselves in the limbo of the forgotten.

Because of a missile's ballistic trajectory, the location of a fixed target must be known quite accurately.

Because of this, it would appear inevitable that an increasing percentage of strategic missiles will seek self-protection in mobility -- at least until missile defenses are perfected which have an exceedingly high kill probability.