Indeed, all theory may be regarded as a kind of map extended over space and time.

Indeed, every such map is by necessity a Möbius transformation.

Indeed, the global dimension of regular local rings is finite, i. e. any finitely generated module has a finite projective resolution, so the canonical map K < sub > 0 </ sub > → G < sub > 0 </ sub > is surjective.

Indeed the name is actually recorded as Sally Oak on a canal map produced by John Snape in 1789.

Indeed, a uniformly continuous map defined on a convex set of a normed space always admits a subadditive modulus of continuity ; in particular, real-valued as a function.

Indeed, the concept of a single route called the Pilgrims ' Way seems to be no older than the Victorian Ordnance Survey map of Surrey, whose surveyor, Edward Renouard James, published a pamphlet in 1871 entitled Notes on the Pilgrims ' Way in West Surrey.

Indeed, John Ainslie's map of 1794 makes reference to ' Locheye ' on the north and south banks of the burn.

Indeed, the earliest known example of " paper folding " is an ancient Egyptian map, drawn on papyrus and folded into rectangular forms like a modern road map.

Indeed Network Rail's own " location map " refers to the area as " Lostock Junction ".

Indeed, it is even surprising in the Canon of Christ Church and Regius Professor of Ecclesiastical History, who fathered this most peculiar view, and in the brilliant Professor of Medieval and Renaissance English at Cambridge, who inherited it and is now its most eminent proponent.

Indeed, the administration's curious position on the sales tax was a major factor in contributing to its defeat.

Indeed, the International Committee for Weights and Measures ( CIPM ) notes that " its definition applies only within a spatial extent sufficiently small that the effects of the non-uniformity of the gravitational field can be ignored.

Indeed, the European Convention on Human Rights and Fundamental Freedoms in Article 6 requires these features in the legal systems of its signatory states.

Indeed the urban areas of the country suffering heavily from unemployment, which might have been expected to respond the most to the radical economic policies of the Liberals, instead gave the party its worst results.

Indeed, a number of studies dispute the reality of this statistical distinction or its increasing occurrence, or both, either arguing the reliable record is too short to detect such a distinction, finding no distinction or trend using other statistical approaches, or that other types should be distinguished, such as standard and extreme El Niños.

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, confidence in the claim has eroded with failure to verify its existence despite massive searches.

Indeed, its name means " hot lake " in Kyrgyz.

( Indeed, the Latter Day Saint – movement in its entirety is dominated by the LDS Church, which makes up perhaps 98 % of such adherents.

( Indeed, Pedersen's older contemporary Henry Sweet attributed some of the resistance by Indo-European specialists to hypotheses of wider genetic relationships as " prejudice against dethroning from its proud isolation and affiliating it to the languages of yellow races ".

Indeed, the position has been described as undergoing a " presidentialisation ", to the point that its incumbents publicly outshine the actual head of state ; former governor general Adrienne Clarkson alluded to what she saw as " an unspoken rivalry " that had developed between the prime minister and the Crown.

Indeed, any open subgroup of H is of finite index, so its preimage in G is also of finite index, hence it must be open.

Indeed, Platonism gets much of its plausibility because mentioning redness, for example, seems to be referring to something that is apart from space and time, but which has lots of specific instances.

Indeed, throughout its development, the rifle's history has been marked by increases in range and accuracy.

Indeed Ingram's influence on Powell's later work can be detected, especially in its themes in illusion, dreaming, magic and the surreal.

Indeed the growth of a vast empire by Arab-Muslim Jihads is not devoid of economic and political issues and brought in its wake the first real growth of the slave trade.

Indeed, as early as 1959, even before independence, Mauritius informed the World Meteorological Organization that it considered Tromelin to be part of its territory.

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 this is still the operational model followed by the Chinese Navy with its Type 025 class torpedo boat for the protection of its coastal and estuarial waters.

Indeed, blood was often seen seeping from the mouth and nose when one was seen in its shroud or coffin and its left eye was often open.

Indeed his policy preferences were not much different from Bennett's, and he let the Conservative government have its way.

Indeed, you wouldn't live long, for the females either drive the men they've seized from neighboring islands back to their boats after exploiting them for amatory purposes, or they destroy them by revolting but ingenious methods.

Indeed, parts of the original Rancho had already been annexed by neighboring Monrovia, Azusa, Irwindale, and Baldwin Park.

Indeed Eleutherae, like neighboring Plataea, was an independent polis on the border between Attica and Boeotia.

Indeed, this can be extended to the observation that introducing a DNA-binding sequence within the nucleosome increases the accessibility of adjacent regions of DNA when bound.

" Indeed, this was true of the dynasty's borders in multiple directions ; modern Xinjiang, Tibet, Manchuria, Inner Mongolia, and regions to the southeast were foreign to the Qin, and even areas over which they had military control were culturally distinct.

Indeed, many regions of the pre-Roman antiquity were ultimately replaced by Roman ' standardized ' provincial governments after their conquest by Rome.

Indeed they recovered in some areas of the UK, but numbers are once again on the decline in other regions of that country, as well as elsewhere.

Indeed, when the series was cancelled by the ITV Network, so many protests were received from viewers in England that some ITV regions re-instated the programme.

Indeed, in regions such as Crete, almost every man carried arms.

Indeed, in some regions release of young zanders is restricted, as natural stocks already provide a sufficient supply for the market, while boosting the population of this large predator would have an adverse effect on the zander's food fishes.

Indeed there were lords that ruled these regions as if they were " sovereign princes " and they had powers in fields such as minting coins.

Indeed, the first day of deer-hunting season is a de facto unofficial holiday in much of the central and northern regions of the state, when absence from work or school is generally tolerated with no explanation necessary.

Indeed, major Pharonic ceremonies were held at Jebel Barkal near Napata, and the royal lineages of the two regions seem to have intermarried.

Those groups that adopt this terminology tended to be allied with the Soviet Union while it still existed ( Indeed, Russia incited and aided the rebellion in attempt to annex these regions in the future ).