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" Indeed, discrete mathematics is described less by what is included than by what is excluded: continuously varying quantities and related notions.
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Indeed and discrete
Indeed, any nondiscrete topological group is also a topological group when considered with the discrete topology.
Indeed, in the early history of the Earth ( about four billion years ago ) bolide impacts were almost certainly common since the solar system contained far more discrete bodies than at present.
Indeed, some discrete works are provided with annotations, e. g. a picture frame from putatively the late 18th century with a modern mirror glass, which was bought at Sotheby's after the death of George Baillie-Hamilton, 12th Earl of Haddington, is equipped with the comment " possibly Paul Georges ".
Indeed, according to Donsker's theorem, the discrete random walk would, in the scaling limit, approach the true Brownian motion.
Indeed and mathematics
Indeed, the usefulness of this area of mathematics to linguistics has borne organizations such as TextGraphs, as well as various ' Net ' projects, such as WordNet, VerbNet, and others.
Indeed, I think that there is a real need, in formalism and elsewhere, to link our understanding of mathematics with our understanding of the physical world.
Indeed, because of the need for clarity and specificity, the language of mathematics is far more constrained than natural languages studied by linguists.
Indeed, modern mathematics has been defined in a very general sense as the study of abstract structures ( by the Bourbaki group: see discussion there, at algebraic structure and also structure ).
Indeed, the very success of mathematics in this respect has been a source of puzzlement for some philosophers ( see The Unreasonable Effectiveness of Mathematics in the Natural Sciences by Eugene Wigner ).
Indeed there is some evidence that from the very beginning the alphabet was designed in order to meet the needs of mathematics.
Indeed, the words " philosophy " ( love of wisdom ) and " mathematics " ( that which is learned ) are said to have been coined by Pythagoras.
Indeed and is
Indeed, it is probable that this point is reached the moment the third level of change begins.
Indeed, in the Halma edition of Theon's presentation of The Hypotheses there is a chart setting out ( under six distinct headings ) otherwise unrelated diagrams for describing the planetary motions.
Indeed it is possible to separate electron paramagnetic from nuclear effects.
Indeed, the experiment is better viewed as consisting of one binomial trial for the entire family.
Indeed, a study of the individual child is an integral part of the work of the elementary-school teacher, rather than merely an additional chore.
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, of all that is his every man is by nature and reason and therefore by conscience obligated to regard himself as a custodian.
Indeed, no richer humor is to be found in the whole of American literature than in the letters of the semi-literate men who wore the blue and the gray.
Indeed, it is in the field of transportation that Congress has most frequently granted employers exemption from the anti-trust laws ; ;
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, he is referred to, for this and other things as being " more evil than all the kings before him " ( 1 Kings 16: 30 ).
Indeed, the only person he remains connected to is his dying mother, with whom he shares a tender, yet restrained relationship.
Indeed, Disraeli had objected to Murray about Croker inserting " high Tory " sentiment, writing that " it is quite impossible that anything adverse to the general measure of Reform can issue from my pen.
Indeed, scientific consensus is that the breeding population of such an animal would be so large that it would account for many more purported sightings than currently occur, making the existence of such an animal an almost certain impossibility.
Indeed, the format is ideally suited to such analysis because the viewer is afforded the opportunity to see how a person reacts on the outside through the constant recording of their actions and also what they feel on the inside through the Diary Room / Confession Room.
Indeed, it is a major cultural and economic centre in southwestern Europe ( Iberian Peninsula ), 26th in the world ( after Moscow, before Dubai ) and a growing financial centre ( Diagonal Mar and Gran Via ).
Indeed, the most elementary definition of bipolar disorder is an often " violent " or " jarring " state of essentially uncontrollable oscillation between hyperthymia and dysthymia.
Indeed, one such clause can be rewritten as, that is, if are all true, then y needs to be true as well.
Indeed it can be argued the country has never been independent since there is an arguable legitimate succession of states, systems and entities from the Norman Conquest, 1066.
Indeed, the Superior Council of the French language of Belgium recommended in 2001 the use of centime, since cent is also the French word for " hundred ".
Indeed he is widely praised by his successors, both Labour and Conservative.
Indeed and described
Indeed, it turns out that numerous important constructions can be described in a purely categorical way.
Indeed, some languages are designed so that the meanings of certain syntactic constructs cannot even be described without referring to the core library.
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, some have described council communism as " socialism from below ," which they counterpose against what they see as the " socialism from above " that was endorsed by Stalinism.
Indeed, Jesse Lasky Jr., the co-writer on The Ten Commandments, described how the director would customarily spread out prints of Alma-Tadema paintings to indicate to his set designers the look he wanted to achieve.
Indeed, The Guardian newspaper described the album as containing " unrivalled anti-consumerism anthems ".
" Indeed, Alice described it as a " kidnapping ".
Indeed, an early major American economic crisis, the Panic of 1819, was described by then-president James Monroe as " a depression ", and the economic crisis immediately preceding the 1930s depression, the Depression of 1920 – 21, was referred to as a " depression " by president Calvin Coolidge.
Indeed, unpolarized light cannot be described as any state of the form.
Indeed, because his exact appearance is never directly described in Old English by the original Beowulf poet, part of the debate revolves around what is known, namely his descent from the biblical Cain ( who was the first murderer in the Bible ).
" Indeed, as Dr. Lois Parkinson Zamora of the University of Houston writes, " Roh, in his 1925 essay, described a group of painters whom we now categorize generally as Post-Expressionists.
Indeed, it is this writer's belief that something rather akin to the situation which was described above exists if the present laws of heredity and of physics are confronted.
Indeed, later in the century the Whig John Wilkes contemptuously described it as like " Peace of God, for it passeth all understanding ".
Indeed, the language described in the Guidelines is best seen more as a basis for other developers to expand on than as an actual standard.
Indeed " Roadblock " itself could be described as inspired by the classic Average White Band hit " Pick Up the Pieces ".
Indeed, in this position of having the ear of every Head of Government, the Secretary-General has been described as " probably the contemporary Commonwealth's major resource ".
Indeed, the profusion of papers describing such activities can legitimately be described as irrelevant and misleading.
Indeed, some of Stapledon's contemporaries were appalled at the book's philosophy: in a letter to Arthur C. Clarke in 1943, C. S. Lewis described the ending as “ sheer devil worship .”
Indeed, the Athenians are nearly destroyed by their greatest act of imperial overreach, the Sicilian expedition, described in books six and seven of the History.
Indeed, one author described them as the holy terror of the PRR.
Indeed, the genus Homo was in origin intended to separate tool-using species from their tool-less predecessors, hence the name of Australopithecus garhi, garhi meaning " surprise ", a tool-using Australopithecine discovered in 1996 and described as the " missing link " between the Australopithecus and Homo genera.
Indeed, similar fever attacks ( but normal IgD ) have been described in patients with mevalonic aciduria-an inborn error of metabolism now seen as a severe form of HIDS.
Indeed, the regency has been described as marking the beginning of the tragic years of Stambolov's life.
Golo Mann in turn described him later: " Indeed he was able to radiate some kindness, but mostly it was silence, strictness, nervousness or rage.
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