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By and previous
By saying `` another emotional death '', she reveals that there has been a previous one, although she has not described it in words.
By the time Felix turned up it was early afternoon, which, one would think, would be late enough so that by then, except for small children and a few hardy souls who had not yet sobered up, it could have been expected that people would no longer be having any sort of active interest in the previous night's noisemakers and paper hats.
By the previous derivation,
By now, England were coached by Alf Ramsey who had managed to gain sole control of the recruitment and team selection procedure from the committee-based call-up system which had lasted up to the previous World Cup.
By this definition, if previous versions ( N-1, N-2, etc.
By 1982, the perceived passivity of the FARC, together with the relative success of the government's efforts against the M-19 and ELN, enabled the administration of the Liberal Party's Julio César Turbay ( 1978 – 1982 ) to lift a state-of-siege decree that had been in effect, on and off, for most of the previous 30 years.
By 1996, other engineers had joined in, because it was clear that Cygwin would be a useful way to provide Cygnus ' embedded tools hosted on Windows systems ( the previous strategy had been to use DJGPP ).
By definition, the first two numbers in the Fibonacci sequence are 0 and 1, and each subsequent number is the sum of the previous two.
By 1888, it was clear that the piecemeal system that had developed over the previous century in response to the vastly increased need for local administration could no longer cope.
By the 18th century, it had broken into its previous polities.
By the 19th century, the standardisation of British English was more settled than it had been in the previous century, and this relatively well-established English was brought to Africa, Asia and New Zealand.
By the end of 1917, Trotsky was unquestionably the second man in the Bolshevik Party after Lenin, overshadowing the ambitious Zinoviev, who had been Lenin's top lieutenant over the previous decade, but whose star appeared to be fading.
By contrast, a previous study in 2008 had found only 38 percent of lemur species were at risk of extinction.
By winning their first 13 games, the Saints also set the record for the longest undefeated season opening ( 13 – 0 ) by an NFC team since the AFL – NFL merger, surpassing the previous record ( 12 – 0 ) held by the 1985 Chicago Bears.
By May 1969 Britain ’ s current account position was in surplus, thanks to a growth in exports, a drop in overall consumption and, in part, the Inland Revenue correcting a previous underestimation in export figures.
By 2008, the economy was 16. 7 times the size it was in 1978, and 12. 1 times its previous per capita levels.
By summer 1757 the British war effort over the previous three years had broadly been a failure.
By the later part of the reign of Charles I, few new plays were being written for the public theatres, which sustained themselves on the accumulated works of the previous decades.
By contrast, self-synchronising stream ciphers update their state based on previous ciphertext digits.
By the result of the previous paragraph, the limit function is also Lipschitz, with the same bound for the Lipschitz constant.
By 1969, the Labour Party was suffering serious electoral reverses, and by the turn of 1970 had lost a total of 16 seats in by-elections since the previous general election.
By the eve of the Revolution, Putnam had become a relatively prosperous farmer and tavern keeper, with more than a local reputation for his previous exploits.
By the 1960s, the South West Region ( including Dorset, which for some previous purposes had been included in a Southern region ), was widely recognised for government administration and statistics.
By the Interpretation Act of 2005, no incumbent appointee of the Crown is affected by the death of the monarch, nor are they required to take the Oath of Allegiance again, and all references in legislation to previous monarchs, whether in the masculine ( e. g. His Majesty ) or feminine ( e. g. the Queen ), continue to mean the reigning sovereign of Canada, regardless of his or her gender.
By an out-of-court settlement in 1964, the Pawnee Nation was awarded $ 7, 316, 097 for land ceded to the US and undervalued by the federal government in the previous century.

By and paragraph
Every simple R-module is isomorphic to a quotient R / m where m is a maximal right ideal of R. By the above paragraph, any quotient R / m is a simple module.
By the above paragraph, we find that I is a maximal right ideal.
By the above paragraph, one can show that any constructible point can be obtained by such a sequence of extensions.
By 1908, this was described by the New York Times as a " long-established … preference " ( see article ) In modern usage in Scotland, " Scotch " is never used, other than as described in the following paragraph for certain articles ; it has gathered patronising and faintly offensive connotations (" frugal with one's money "), and a non-Scot who uses the word in conversation with Scots as a description of them may find this a good test of their courtesy.
By 20 May the Commons had agreed to one more minor alteration, but had not decided whether to accept the new paragraph.
By this time, to be precise, on July 15, 1937, because of Natascha ’ s status as “ Mischling ersten Grades ,” Emil had lost his post at the University — technically, compelled into early retirement — on the grounds of paragraph 6 of the Act to Restore the Professional Civil Service ( Gesetz zur Wiederherstellung des Berufsbeamtentums ) of April 7, 1933.
By the property noted in the above paragraph, if f is an irreducible ( non-zero ) polynomial with coefficients in the field F of prime characteristic p, and does not have distinct roots, it is possible to write f ( X )= g ( X < sup > p </ sup >).
By contrast, the anthrax entry has a large paragraph on the current reservoir.
With respect to ' the final paragraph, in which Jensen has Hanold asking Zoë to walk ahead of him and she complies with a smile, Freud put, " Erotic ... foot interest "'... By walking ahead of him in imitation of " Gradiva " on the plaque, she finds the key to his therapy '.
By taking Fourier transforms this follows from the fact that every polynomial has a distributional inverse, which is proved in the paragraph above.
By paragraph 2, foundlings recovered in Italy are citizens by birth if it cannot be proven that these persons are in possession of another citizenship.

By and hence
By Schur's lemma, is a division ring, and hence is a local ring, so right ( and left ) irreducible idempotents are local.
The two stories agree on this point: Livy's version is: By this blood-most pure before the outrage wrought by the king's son-I swear, and you, O gods, I call to witness that I will drive hence Lucius Tarquinius Superbus, together with his cursed wife and his whole blood, with fire and sword and every means in my power, and I will not suffer them or any one else to reign in Rome.
By the 1920s however the Senate had lost much of its original influence, and hence no sitting senator had been known to have serious aspirations of becoming prime minister whilst remaining in the Senate.
By the 5th century the Angles, after whom East Anglia and England itself are named, had established control of the region and later became the " north folk " and the " south folk ", hence, " Norfolk " and " Suffolk ".
By simply building and launching large quantities of rockets, and hence launching a large volume of payload, costs can be brought down.
By 1876 Russia had incorporated all three khanates ( hence all of present-day Uzbekistan ) into its empire, granting the khanates limited autonomy.
By 2003, while the popularity of Linux ( and hence the installed base of X ) surged, X. Org remained inactive, and active development took place largely within XFree86.
By 2002, while Linux's popularity, and hence the installed base of X, surged, X. Org was all but inactive ; active development was largely carried out by XFree86.
By contrast, ext2 and other Berkeley FFS-like file systems of that time simply used a fixed formula for computing inode locations, hence limiting the number of files they may contain.
By establishing a connection at the beginning of such a data exchange the components ( routers, bridges ) along the network path would be able to pre-compute ( and hence cache ) routing-related information, avoiding re-computation for every packet.
By 1815, the United States, the primary client for Turks salt, had been at war with Britain ( and hence Bermuda ) for three years, and had established other sources of salt.
By the era of Early Modern English, the mole was also known in English as mouldywarp, a word having cognates in other Germanic languages such as German ( Maulwurf ), and Danish, Norwegian, Swedish and Icelandic ( muldvarp, mullvad, moldvarpa ), where the muld / mull / mold part of the word means soil and the varp / vad / varpa part means throw, hence " one who throws soil " or " dirt tosser ".
By using a matter / antimatter reactor to create plasma, and by sending this plasma through warp coils, he created a warp bubble which he could use to move a craft into subspace and hence exceed the speed of light.
By about 1300, the word was expanded to apply also to Mary, the mother of Jesus, hence to sexual virginity explicitly:
By 1018, ad-Darazi had around him partisans-" Darazites "-who believed that universal reason became incarnated in Adam at the beginning of the world, passed from him into prophets, then into Ali and hence into his descendants, the Fatimid Caliphs.
By the late 1960s when the city was predominantly Italian, it was settled by a large migration of Cuban refugees fleeing Fidel Castro's regime, making Union City for many years the city with the largest Cuban population in the U. S. after Miami, hence its nickname, " Havana on the Hudson.
By the above observation, the sequences form a partition of the whole of the disjoint union of A and B, hence it suffices to produce a bijection between the elements of A and B in each of the sequences separately.
: By this guiltless blood before the kingly injustice I swear – you and the gods as my witnesses – I make myself the one who will prosecute, by what force I am able, Lucius Tarquinius Superbus along with his wicked wife and the whole house of his freeborn children by sword, by fire, by any means hence, so that neither they nor any one else be suffered to rule Rome.
By varying the degree of smoothing, mid-tones between black and white can be created, hence the name mezzo-tinto which is Italian for " half-tone " or " half-painted ".
By using these phosphorescent materials, both singlet and triplet excitons will be able to decay radiatively, hence improving the internal quantum efficiency of the device compared to a standard PLED where only the singlet states will contribute to emission of light.
By late 1990s, the parish's workers felt that regular churches ' attitudes towards metalheads, rockers and punks had become more permissive, and therefore did not feel the need to keep Sanctuary going on any longer, hence, most of the parishes of Sanctuary were closed.
By the normal approximation to a binomial this is the squared of one standard normal variate, and hence is distributed as chi-squared with 1 degree of freedom.
By 1929, the width of the emission bands was being attributed to Doppler broadening, and hence that the gas surrounding these stars must be moving with velocities of 300 – 2400 km / s
By starting with a dense wood-like material, such as nutshells or peach stones, one obtains a form of charcoal with particularly fine pores ( and hence a much larger pore surface area ), called activated carbon, which is used as an adsorbent for a wide range of chemical substances.
By choosing an origin,, one can thus identify with, hence turn into a vector space.

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