Indeed, in the latter case, it is only defined for non-negative integer arguments.

Indeed, some argue that disciplinary practices detract from learning, saying that they undermine students ' individual dignity and sense of self-worth — the latter occupying a more primary role in students ' hierarchy of needs.

Indeed, it assumed power for several periods in the latter half of the 20th century.

Indeed by 1683, the latter came close to bankruptcy ; its share price plummeted from 600 to 250 ; and its president Josiah Child was temporarily forced from office.

Indeed, some proponents of market socialism see the latter as a form of democratic socialism.

Some Hindus believe the Buddha accepted and incorporated many tenets of Hinduism in his doctrine, however, Buddhists disagree and state there was no such thing as Hinduism at the time of Buddha and in fact, " Indeed, it absorbed so many Buddhist traits that it is virtually impossible to distinguish the latter in medieval and later Hinduism.

Indeed this term can be seen as the original name of Hinduism, the latter being a term invented by ancient Persians.

Indeed, the German name of the latter, Bilsenkraut, may originally mean " Plzeň herb "; that this region was a major centre of beer brewing long before the invention of ( Reinheitsgebot-compliant ) Pilsener.

Indeed, party Secretaries were sometimes more influential than the Prime Minister, since the latter had no direct mandate from the electorate and was often not even the most prominent party member.

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, Foucault states that at the start of the 18th century, there was an emergence of " a political, economic, and technical incitement to talk about sex ", with self-appointed experts speaking both moralistically and rationally on sex, the latter trying to categorise it.

Indeed, neither of the two songs were performed on the MTV Unplugged performance from which this disc takes most of its material, but the latter was performed on the Debut Tour after its single release.

Indeed, the latter of these influences, seldom known for having influenced anything outside of Colombia itself, has had a remarkable influence on the Gombey scene of Bermuda.

Indeed, few philosophers can be said to have paid much attention to the business enterprise, itself, prior to the latter part of the 20th century.

Indeed, he tended to see the latter as a handicap impeding Bolivia's progress.

Indeed, Collins was on the verge of becoming Britain's first F1 World Champion when he handed his Lancia-Ferrari D50 over to team leader Juan Manuel Fangio after the latter suffered a steering-arm failure toward the end of the Italian Grand Prix at Monza.

Indeed, in the latter part of the war, as tactics changed to defence in depth, it commonly served well in advance of the front line.

Indeed the latter family are mentioned fulsomly in his annals.

Indeed the distinction between fellatio and irrumatio has vanished in modern English and the latter term has fallen out of widespread use.

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, the latter space is frequently non-separated.

:: Indeed, suppose for example that is divisible by and that this latter is a prime.

) Indeed the opera is unusual for having nearly as much instrumental music as vocal: act 1, scene 2 consists entirely of a short symphonic poem ( with distant voices ) called Intermedio, depicting sunset in Granada ; act 2, Scene 1 includes the above-referenced Danza and Interludio, with the latter ending the scene, i. e. in the opposite sequence to the excerpted pairing ; and act 2, scene 2 begins with the a second and longer Danza ( with vocal punctuation ).

Indeed the latter oath debarred Roman Catholics from participation in Anglo-American colonisation-until George Calvert founded Maryland for persecuted Catholics and Puritans in 1634.

Indeed, given the efficient market hypothesis, which implies that a thorough analysis of stock data is irrational, most rational shareholders are, by definition, not investors, but speculators.

Indeed, this is essentially an algebraic translation of these geometric terms: the coordinate ring of any affine variety is, by definition, a finitely generated k-algebra, so Noetherian ; moreover curve means dimension one and nonsingular implies ( and, in dimension one, is equivalent to ) normal, which by definition means integrally closed.

Indeed, cannabis necessarily implies to hold, and thus to buy or to produce, leaving free the judge to penalize the user on the basis of the Code of Public Health ( use ) or the Penal Code ( possession / trafficking / production ).

Indeed, the very choice to present arguments from definition instead of from consequence implies that one of the modes of reason carries greater value.

Indeed, the view of the Igor ' Tale as a late forgery certainly implies that it is imitation of Zadonshchina, as the two texts are undoubtedly related.

Indeed, throughout this song McCartney's bass implies many additional chords over those played by the other instruments.

Indeed, a decree of the Holy Office ( February 20, 1888 ) implies that this affinity arises from ecclesiastical law: " The Holy Father permits bishops to dispense from all public impediments diriment of marriage derived from the ecclesiastical law, except from the order of the priesthood, and affinity, in the direct line, arising from lawful intercourse.

Indeed, recent research found that people use beauty as an indication for truth in mathematical pattern tasks.

Indeed, many people self-diagnose.

Indeed, Estonians consider themselves a Nordic people rather than Balts, based on their historical ties with Denmark and particularly Finland and Sweden.

Indeed, reported results of people generating EDIF 3 0 0 translators was that the writers were now much more difficult to get right, due to the great number of semantic restrictions, and the readers are comparatively trivial to develop.

Indeed, these Four Freedoms were explicitly incorporated into the preamble to the Universal Declaration of Human Rights which reads, " Whereas disregard and contempt for human rights have resulted in barbarous acts which have outraged the conscience of mankind, and the advent of a world in which human beings shall enjoy freedom of speech and belief and freedom from fear and want has been proclaimed the highest aspiration of the common people ,...."

Indeed " he people of Southern Europe, as well as South-East Asia, will be fighting their way into countries such as Canada, Australia and Britain ".

Indeed, many people have come to see the song as a life-affirming ode to optimism.

Indeed, the island of Great Britain takes its name from tattooing, with Britons translating as ' people of the designs ' and the Picts, who originally inhabited the northern part of Britain, which literally means ' the painted people '.

Indeed, it is impossible in the last resort to distinguish between the defence of territory and the defence of people ".

Indeed, about ten per cent of people with dementia have what is known as " mixed dementia ", which may be a combination of Alzheimer's disease and multi-infarct dementia.

Indeed there were Scots, Germans and Dutch people inhabitating major towns of the area, as well as several Italian artists who had been " imported " to the lands of modern Belarus by the magnates.

Indeed, it is also important to recognize that the demand for the ' legitimate rights of the Palestinian people ' hardly stirred the Arab peoples.

Indeed, absorbing Christianity enfeebled a people.

Indeed, today, in Asia the urban agglomerations of Dhaka, Karachi, Mumbai, Delhi, Manila, Seoul and Beijing are each already home to over 20 million people, while the Pearl River Delta, Shanghai-Suzhou, Jakarta-Bandung and Tokyo are forecast to approach or exceed 40 million people each within the coming decade.

Indeed our people are already migrating to escape, and are already suffering from the consequences of what world authorities on climate change have consistently been warning us.

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, the nuts contained inside of the thin shell are among the sweetest of any oak, with an excellent taste even when eaten raw, providing an excellent source of food for both wildlife and people.

Indeed, enjoyment of the natural surroundings of the walk is the primary motivating factor for many people following the route.

Indeed, the name Northumbria came from Anglo-Saxon Norðhymbre ( plural ) = " the people north of the Humber ".

Indeed, one man agrees to commit suicide in front of an audience, for money to be given to his family, because most people on Bliss have never seen a death.

Indeed, the entire preface is quite satirical in nature — at one point Burton pretends to warn melancholic people to avoid his book for fear of exacerbating their symptoms:

Indeed, people have been stopped at airports solely due to their political views recently ( see No-fly list ) and there appears to be little public will to stop practices of this nature.

Indeed, as a student, Anker summed up his approach to art as follows: " One has to shape an ideal in one's imagination, and then one has to make that ideal accessible to the people.