( Indeed, it was not until 1996 that Amtrak finally closed the old Santa Fe depot and consolidated all passenger operations at the site of the former Burlington Northern depot.

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, in 1979 the continual battle to maintain the A625 road ( Sheffield to Chapel en le Frith ) on the crumbling southern side of the hill was lost when the road officially closed as a through-route.

Indeed I wonder whether the closed and stifling atmosphere of L ' Année does not result from those contradictions.

Indeed, a set is closed if and only if it contains all of its limit points, and the topological closure operation can be thought of as an operation that enriches a set by adding its limit points.

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.

) Then a S-scheme X is projective if and only if it is proper and there exists a very ample sheaf on X relative to S. Indeed, if X is proper, then an immersion corresponding to the very ample line bundle is necessarily closed.

Indeed, a large part of Chatham Dockyard lay within Gillingham: the dockyard started in Gillingham and, until the day it was closed in 1984, two thirds of the then modern-day dockyard lay within the boundaries of Gillingham.

Indeed, going around the closed loop w = e < sup > iθ </ sup >, one starts at θ = 0 and e < sup > i0 / 2 </ sup > = 1.

Indeed, he went on to add to the development of the concept through the work he carried out with closed variations of the Ruy Lopez.

Indeed, by the Stone – Weierstrass theorem, any continuous function on the unit interval can be expressed as a limit of polynomials, so any class of functions containing the polynomials and closed under limits will necessarily include all continuous functions.

Indeed, those with a scientific turn of mind may take the devolution from Annie to Harry to A Lot Like Love as yet another demonstration of the Second Law of Thermodynamics, which says that in a closed system ( an apt description of Hollywood if ever there was one ) there is a tendency toward entropy-in this case, from acknowledged classic to memorable cable-television staple to dim, flabby dud.

Indeed, Waddamana B remained in active service until 1994 when it too was closed.

( Indeed, every production of a context free grammar is of the form V → w where V is a single nonterminal symbol, and w is a string of terminals and / or nonterminals ( w can be empty )).

Indeed in the UK all residents were required to fill in the whole form but only a 10 % sample were coded and analysed in detail, until 2001.

Indeed, an intuitive summary of inertial frames can be given as: In an inertial reference frame, the laws of mechanics take their simplest form.

Indeed, the novel, in which Sterne manipulates narrative time and voice, parodies accepted narrative form, and includes a healthy dose of " bawdy " humor, was largely dismissed in England as being too corrupt.

Indeed, one-size-fits-all programming is no longer seen as tenable by some, as the diversity of musical tastes among the listening public have created a proliferation of radio formats in what some might call a form of narrowcasting.

Indeed, Adorno sought to ground the critical bite of his sociological work in his critique of identity, which he took to be a reification in thought of the commodity form or exchange relation which always presumes a false identity between different things.

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

Indeed, any such g lies in a particular planar commutative subring, and g has a polar coordinate form determined by parameters of radial and angular nature.

Indeed, working-class grievances were usually expressed in the form of riots.

Indeed, unpolarized light cannot be described as any state of the form.

Indeed an inscription from the time of Ataxerxes II records that he was also known as Arshu understood to be a shortening of the Babylonian form Achshiyarshu derived from the Persian Khshayarsha ( Xerxes ).

Indeed, at some Etruscan tombs, such as those of the Tumulus di Montefortini at Comeana ( see Carmignano ) in Tuscany, physical evidence of trade has been found in the form of grave goods — fine faience ware cups are particularly notable examples.

Indeed, the distinction of comics as the " ninth art " is prevalent in Francophone scholarship on the form ( le neuvième art ), as is the concept of comics criticism and scholarship itself.

Indeed, if ( X ) holds for such a, multiplying both sides by a yields the original form of the theorem,

Indeed, the new spatial form of the mega-city or megalopolis, is defined by Castells as having the contradictory quality of being " globally connected and locally disconnected, physically and socially ".

Indeed, if I speak of it, the question is not to make recognizable the concept, as that was usual at that time, rather to recover this idea thirty years later, how it rubs against the other earlier experiences, how it deforms or takes differently form.

Indeed, until the ability to dial a phone number came into widespread use in the 1950s ( it had existed in limited form since the 1920s ), telephone users could not place calls without operator assistance.

Indeed, Japanese companies have banded together to form JASRAC, a copyright holders rights company, which has frequently taken YouTube to task for providing content which domestic Japanese viewers often use, which includes fansubs, as seen on their official site.

Indeed, Rolls-Royce's problems became so great that the company was eventually nationalized by the British government in 1971 and the carbon-fiber production plant was sold off to form " Bristol Composites ".

Indeed, he almost seemed to take a turn to the political Right during his final two years in the Senate, as witnessed by his opposition to President Richard Nixon's Family Assistance Plan, a form of " reverse income tax " to help the poor get off of welfare and a program similar to a plan he had proposed several years earlier — though it should be noted that many liberal senators and representatives also opposed the plan.

The upshot is that the first fundamental form () is invariant under changes in the coordinate system, and that this follows exclusively from the transformation properties of E, F, and G. Indeed, by the chain rule,

Indeed the ancient Roman custom of arbitration has now been adapted in many common law jurisdictions to a more inquisitorial form.

Indeed, if anything, Pinot blanc may be the original human-selected form of Pinot, although given the genetic variability of this longstanding genetic line, thinking of Pinot as a familial cluster of grapes sharing a fundamental and common genetic core is almost certainly nearest the truth.

Indeed, given the different speeds at which people may develop both physically and intellectually, any form of explicit age limit may be arbitrary and irrational.

Indeed, in the great shakta scripture known as the Devi Mahaamya, all the goddesses are shown to be aspects of one presiding female force, one in truth and many in expression, giving the world and the cosmos the galvanic energy for motion.

Indeed, the expression inertial frame of reference () was coined by Ludwig Lange in 1885, to replace Newton's definitions of " absolute space and time " by a more operational definition.

Indeed, lifestyle anarchism today is finding its principal expression in spray-can graffiti, post-modernist nihilism, antirationalism, neo-primitivism, anti-technologism, neo-Situationist ' cultural terrorism ', mysticism, and a ' practice ' of staging Foucauldian ' personal insurrections '.

Indeed, some studies shows that the nonverbal expression of pride conveys a message that is automatically perceived by others about a person's high social status in a group.

Indeed in some of its worst failings, straining of expression, excess of detail, exaggeration, he outbids Seneca, whilst the obscurity, which makes his little book of not seven hundred lines so difficult to read and is in no way due to great depth of thought, compares poorly with the terse clearness of the Epistolae morales.

Indeed, individual elements of any mathematical expression may be referred to as terms.

Indeed, painters no longer need to seek for new inventions, novel attitudes, clothed figures, fresh ways of expression, different arrangements, or sublime subjects, for this work contains every perfection possible under those headings.

Indeed, the balance of frustration and reward is so even that nobody is ever sure whether having " a cold wind blow " for a single person is an expression of rivalry or of affection.

Indeed, says Maimonides, all existing evils, with the exception of some which have their origin in the laws of production and destruction and which are rather an expression of God's mercy, since by them the species are perpetuated, are created by men themselves.

Indeed, it is one of the few modes of artistic expression besides jewelry in this period since the sculpture, monumental architecture and mural painting of this era are unknown to us.

Indeed, lifestyle anarchism today is finding its principal expression in spray-can graffiti, post-modernist nihilism, antirationalism, neoprimitivism, anti-technologism, neo-Situationist ` cultural terrorism ,' mysticism, and a ` practice ' of staging Foucauldian ` personal insurrections.

Indeed, Darwin's approach in The Expression has been criticised for neglecting the communicative aspects of expression.

Indeed, until Justinian II this was the expression to discredit the reputation of someone, and so it was necessary that this individuals remained anonymous.

Indeed from one point of view, adat is simply a social expression of the community religion, in as much as it is not a human creation, and in its exercise men are still constantly watched over by the spirits and supernatural powers ruling community.