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Indeed and following
Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.
Indeed we have the following result.
Indeed, two roads, which diverged at Othoca ( modern Santa Giusta ) connected Caralis to Turris, the more important keeping inland and the other following the west coast.
Indeed, the following theorem holds true ( provided that the deduction apparatus of the considered fuzzy logic satisfies some obvious effectiveness property ).
Indeed, there are non-Bayesian updating rules that also avoid Dutch books ( as discussed in the literature on " probability kinematics " following the publication of Richard C. Jeffrey's rule, which applies Bayes ' rule to the case where the evidence itself is assigned a probability ).
Observe first the following: if a is a limit point of S, then any finite collection C of open sets, such that each open set U ∈ C is disjoint from some neighborhood V < sub > U </ sub > of a, fails to be a cover of S. Indeed, the intersection of the finite family of sets V < sub > U </ sub > is a neighborhood W of a in R < sup > n </ sup >.
Indeed, in England the word " dollar " was in use for the Thaler for 200 years before the issue of the United States dollar, and until the half crown ceased to be used following decimalisation in 1971, the term " half a dollar " could be heard for " half a crown ".
" Indeed, the act was passed by Parliament on 21 May, the same day as a royal proclamation against seditious writings was issued, and more libel cases would be brought by the government in the following two years than had been in all the preceding years of the eighteenth century.
Indeed, enjoyment of the natural surroundings of the walk is the primary motivating factor for many people following the route.
Indeed, more guilds are known in Thyatira than any other contemporary city in the Roman province of Asia ( inscriptions mention the following: wool-workers, linen-workers, makers of outer garments, dyers, leather-workers, tanners, potters, bakers, slave-dealers, and bronze-smiths ).
Indeed, the concept of self-esteem is approached since then in humanistic psychology as an inalienable right for every person, summarized in the following sentence:
" Indeed, Russian historian Oleg Sokolov noted that Wellington had committed a serious strategic error by following the French into northern Portugal, and that this decision could have had grievous consequences for the Anglo-Portuguese.
Indeed, in 1969 a " Birding Glossary " appeared in Birding Volume 1, No. 2, which stated the following:
Indeed, Against Apion, the writing of Josephus in 95 CE, treated the text of the Hebrew Bible as a closed canon to which "... no one has ventured either to add, or to remove, or to alter a syllable ..." However, we know that for a long time following this date that the divine inspiration of Esther, the Song of Songs, and Ecclesiastes was often under scrutiny.
Indeed, the geometrization of space that would characterize Cubism can already be observed in his works as early as 1905, following the lead of Seurat and Cézanne.
Indeed, the transitional government that ruled the country from the cease-fire agreement ( signed in Lusaka on 7 September 1974 ) to independence ( set for 25 June of the following year ) acted in a very conciliatory fashion.
Indeed, the Wall Street Crash of 1929 and the following Great Depression, which affected France from 1931, caused much anxiety and disturbance, as in other countries.
Indeed, special relativity largely comes down to studying a kind of noneuclidean trigonometry in Minkowski spacetime, as suggested by the following table :< ref group = A >
Indeed, these locally focused routers were often built along existing roads and steam railways with which they competed, sometimes following the latter from terminal to terminal.
Indeed, in the early years following the Scottish Reformation there was actually internal sectarian tension between Church of Scotland Presbyterians and ' High Church ' Anglicans, whom they regarded as having retained too many attitudes and practices from the pre-Reformation Catholic era.
Indeed, following the success of The Deluge, Goehr was commissioned a new cantata, Sutter's Gold for choir, baritone and orchestra.
Indeed, the addition of a couple of key players could have seen Omagh challenge for the following seasons premiership.
Indeed, as a result of the war and the lessons that were learned about the potential of airpower in the region, following the war, the Chief of the Air Staff, Sir Hugh Trenchard, proposed controlling the frontier by air power alone.
Indeed, following the construction of the spectral decomposition for a bounded, normal, not self-adjoint, operator T, one sees that to verify that T

Indeed and 1960s
Indeed most of the 1960s BBC serials were largely wiped.
Indeed this policy was highly disputed during the sexual revolution of the 1960s and later abolished.
Indeed, by the late 1960s, the unwavering stance of the Hallstein Doctrine was actually considered detrimental to US interests ; numerous American advisors and policymakers, most notably Henry Kissinger, urged Bonn to be more flexible.
Indeed Aylesbury, to a greater extent than many English market towns, saw substantial areas of its own heart demolished in the 1950s / 1960s as 16th-18th century houses ( many in good repair ) were pulled down to make way for commercial developments.
Indeed, many important advances in cochlear implantation were accomplished during the 1960s and ' 70s.
Indeed, Marx's break with German Idealism involves a new definition of philosophy ; Louis Althusser, founder of " Structural Marxism " in the 1960s, would define it as " class struggle in theory ".
Indeed, the second club to fully embrace such a system, the New York Yankees, used it to sustain their dynasty from the mid-1930s through the middle of the 1960s.
At the National Theatre, Tynan established for himself a global reputation, Johnson wrote: " Indeed at times in the 1960s he probably had more influence than anyone else in world theatre.
Indeed, during the planning for NASA's moon landings of the 1960s, it was suggested that a UN flag be used in place of the flag of the US.
The phrase seized on by caricaturists as typical of Mrs Dale's narrative was " I'm rather worried about Jim ..." Indeed, the phrase was a staple of many comedy programmes, radio and television, in the early 1960s aiming to poke fun at safe, staid and undemanding middle-class lifestyles.
Indeed there is a commemorative plaque on the bridge erected by Billy Butlin in the 1960s
Indeed, in the immediate years following his success, baseball began to emerge as the most popular sport in Bahamas, and in the 1960s had become even more popular than cricket.
Indeed, his final years in baseball in the late 1960s through the 1970s were as the minor league batting instructor for one of the game's most diverse organizations, the Los Angeles Dodgers.
Indeed, the unreservedly leftwing Department ’ s long history of conflict with the University ’ s administration was well known to all who had studied at the University of Birmingham between the 1960s and the 1980s.
Indeed, the episodes covering the first half of the 1960s are characterised by extensive use of photographs and posters, as opposed to film and video footage, in order to represent various historical events.

Indeed and increasingly
Indeed, in the years after the trial Mather became an increasingly vehement defender of the trial.
Indeed, he is, in many ways, the father of Dominican democracy " and Jimmy Carter complimented him saying " President Balaguer has set an example for all leaders in this nation in changing his own country and his own people away from a former totalitarian government to one of increasingly pure democracy.
Indeed, scholars looking at the evolution of the NSC from its inception to the 1970s contend that the National Security Adviser and his White House centered staff increasingly assumed a more prominent role than the official National Security Council and that Johnson, like Kennedy before him, played a key role in this development.
Indeed, in 1906 Wreford-Brown was one of the leading figures in the movement to create the Amateur Football Alliance in London in order to keep the amateur game separate from the Football Association, an organisation that the amateur clubs found to be increasingly driven by the financial gain of the professional clubs.
Indeed, as has been noted, the Postal Service had become increasingly lax about employing the purple recommended by the Universal Postal Union for 3 ¢ stamps, and after the war, departures from the color code in double-width commemoratives veritably became the rule rather than the exception ( although U. P. U. colors would continue to be used in the definitive issues of the next decades ).
Indeed, Durham himself claims to have been through such a process several times, each time finding himself back in " the real world " after deletion, with there existing some plausible explanation as to why he believed himself to have been a Copy who was deleted, though with each successive experience of Copying himself and being deleted, he gradually became increasingly confident that the experiences were actually the result of his consciousness finding a logical interpretation in which it had not actually ceased, rather than each successive experience being ultimately true and real.
Indeed, in an era of increasingly detailed molecular work, many immunologists simply avoid constructing an alternative broad theory of immune function.
Indeed, it is not even clear whether the falling out was primarily over business matters, over some possible early symptoms of the manic tendencies Sam would show late in life, or over Sam and Mary's apparently increasingly fractious marriage.
Indeed, revenues from the increasingly renowned Tokaji Aszú wine helped to pay for the wars of independence fought against Austrian Habsburg rule.
Indeed, troubled by an increasingly confrontational Balhae ( which had actually launched a seaborne attack against Tang in 733 ), in 733 the Tang emperor Xuanzong enfeoffed King Seongdeok as Military Commander of Ninghai ( Ninghai junshi 寧海軍使 ) with orders to chastise the Balhae / Malgal state.
Indeed, condylarths are increasingly regarded as a ' wastebasket ' taxon, though true relationships remain in many cases unresolved.
Indeed, it was the latter kings of Konbaung that increasingly suppressed the Mon culture with each Mon rebellion in 1762, 1774, 1783, 1792, and 1824 – 1826.
Indeed, from about 1580 on, the listings in estate auctions increasingly referred to arcabuces de rastrillo and escopeta de rastrillo.
Indeed, as the Japanese efforts to wear down the Australians and to separate them from their native support became more effective, the commandos had found their operations becoming increasingly untenable.
Indeed, a factor contributing to Milford's depression was that his brand of English music, as handed down from Vaughan Williams and Holst, was going out of fashion, and his music was not appreciated in a musical scene which was increasingly modernist even while Milford's own music was becoming more conservative.
Indeed, Christmas decorations and crafts has become increasingly important lines to Frank's, helping to compensate for the seasonal sales declines in gardening supplies.

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