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 most elementary definition of bipolar disorder is an often " violent " or " jarring " state of essentially uncontrollable oscillation between hyperthymia and dysthymia.

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, a relative intrinsic values is a self-contradictory term ; intrinsic values are also absolute or else they are by definition in intrinsive ).

Indeed, similarly to the definition for formal power series, the coefficient of of two series with respective sequences of coefficients and is

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, the Heine – Borel definition of compactness — that every covering of a space by open sets admits a finite subcovering — is relatively recent.

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, if a precise prescriptive definition of " heap " is available then the group consensus will always be unanimous and the paradox does not arise.

Indeed in the Monist article Peirce had said that the coinage " pragmaticism " was intended " to serve the precise purpose of expressing the original definition ".

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 in S. Ó Ríordáin ’ s common morphological definition, he refers to the banks and fosses of the ringfort as defences.

Indeed the simplest definition of a voltage is given by Ohm's law: V = IR, where V is voltage, I is current and R is resistance.

Indeed, the condition for compactness in join-semilattices translates immediately to the corresponding definition.

Indeed, many terrestrial planets would be considered desert planets by this definition.

Indeed, given the breadth of the definition of ' terrorism offences ', it is difficult to see how such evidence could be produced.

Indeed, the proof that a logical system or theory is undecidable will use the formal definition of computability to show that an appropriate set is not a decidable set, and then invoke Church's thesis to show that the theory or logical system is not decidable by any effective method ( Enderton 2001, pp. 206ff.

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, letting and using the definition of we obtain the result.

Indeed, it states that many commandments and stipulations contained in the Torah would be difficult, if not impossible, to keep without the Oral Law to define them — for example, the prohibition to do any " creative work " (" melakha ") on the Sabbath, which is given no definition in the Torah, and only given practical meaning by the definition of what constitutes ' Melacha ' provided by the Oral Law and passed down orally through the ages.

Indeed, if and are log-concave functions, then and are concave by definition.

Indeed, it is now appropriate to alter the above definition of perfect information: at every stage in the game, every player knows what has been played by the other players.

Indeed, many benchmarks ( such as 3DMark ) released by the marketing departments of hardware manufacturers and published in hardware reviews focus on the FPS measurement.

Indeed a sort of analogy had been established in the mid-nineteen thirties by Garrett Birkhoff and John von Neumann between a non-classical propositional logic and some aspects of the measurement process in quantum mechanics.

Indeed their achievement scores were somewhat better on an absolute basis although the difference was not significant.

Indeed, contract was the dominant legal theme of the century, the touchstone of the free society.

Indeed, there was a woman who, unasked, had already given him love.

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

Indeed, mathematically speaking, it was both functionally and symbolically the most important number in the entire diagram.

Indeed, the problem of determining the area of plane figures was a major motivation for the historical development of calculus.

Indeed most biblical scholarship is in agreement that Judeo-Greco-Roman thought in the 1st century was opposite of the Western world's " individual first " mantra – it was very collectivist or communitarian in nature.

Indeed, his home state of Tennessee ratified the Fourteenth Amendment despite the President's opposition, and was the only seceded state to empower a civil government during Reconstruction.

Indeed, one of the many famous passages of the Inquiry was on the topic of the incorrigibility of human custom.

Indeed, it was said of Abbahu that he was a living illustration of the maxim ( Ecc.

Indeed, when the Myth of Osiris and Isis emerged, it was said that when Osiris had been killed by Set, Osiris ' organs were given to Anubis as a gift.

Indeed, a number of communist students loyal to Meyer moved to the Soviet Union when he was fired in 1930.

Indeed, the final German blitzkrieg operation in the west, Operation Wacht am Rhein, was planned to take place during poor weather which grounded Allied aircraft.

Indeed, Catullus was never considered one of the canonical school authors, although his body of work is on the reading lists for American Ph. D. programs in the classics, and is still taught at secondary school level in the United Kingdom.

Indeed, his mother was illiterate and never recorded the date of his birth, remembering only that he had been born on a Wednesday, eight days before the Feast of the Ascension, which itself occurs 40 days after Easter.

Indeed he was never rich, but he staunchly defended the rights of the monks at St. Catherine's Monastery when he persuaded them eventually to send the manuscript to the Tsar.

Indeed, he was represented as a sun god on Egyptian coins.

Indeed Hilbert would lose his " gifted pupil " Weyl to intuitionism — " Hilbert was disturbed by his former student's fascination with the ideas of Brouwer, which aroused in Hilbert the memory of Kronecker ".

Indeed, it was the thirty years of work done by Thomas Aquinas and himself ( 1245 – 1274 ) that allowed for the inclusion of Aristotelian study in the curriculum of Dominican schools.

Indeed, there was little sense in which the Bahr Negash could be said to " control " the area.

Indeed there was a steady stream of edicts issued from 771 right through the period of Kūkai's studies which, for instance, sought to limit the number of Buddhist priests, and the building of temples.

Indeed, after finishing third in the 1926 season, it was to be 14 years before Essendon would even contest a finals series.

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.