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1 integer mathematics
mathematics• kokonaislukulaskenta -
2 integer mathematics
Техника: целочисленная математика -
3 integer
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4 integer
mathematics• kokonaisluku• kokonaisuus -
5 integer number
mathematics• kokonaisluku -
6 integer
[íntidžə]nounmathematics celo število, celota -
7 integer
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8 a long integer
mathematics• pitkä kokonaisluku -
9 a short integer
mathematics• lyhyt kokonaisluku -
10 long integer
mathematics• pitkä kokonaisluku -
11 short integer
mathematics• lyhyt kokonaisluku -
12 algebraic integer
இயற்கணித முழு எண் -
13 positive integer
நோ¢ம முழு எண் -
14 characteristic, whole number, integer, integral number
முழுவெண்English-Tamil dictionary > characteristic, whole number, integer, integral number
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15 whole
whole [həʊl]∎ it took me a whole day to paint the kitchen j'ai mis une journée entière ou toute une journée pour peindre la cuisine;∎ I didn't read the whole book je n'ai pas lu tout le livre ou le livre en entier;∎ I've never seen anything like it in my whole life je n'ai jamais vu une chose pareille de toute ma vie;∎ that was the whole point of going there c'est uniquement pour ça que j'y suis allé;∎ she said nothing the whole time we were there elle n'a rien dit tout le temps que nous étions là;∎ he spent the whole time watching television il a passé tout son temps à regarder la télévision;∎ I never saw her the whole evening je ne l'ai pas vue de (toute) la soirée;∎ the whole truth toute la vérité;∎ the whole world was watching le monde entier regardait;∎ do you have to tell the whole world? est-ce que tu tiens à ce que tout le monde le sache?;∎ whole cities were devastated des villes entières furent dévastées;∎ there are two whole months still to go il reste deux mois entiers;∎ she won the whole lot elle a gagné le tout;∎ the whole thing or the whole business was a farce ce fut un véritable fiasco;∎ I had to start the whole thing over again j'ai dû tout recommencer;∎ forget the whole thing n'en parlons plus(b) (as intensifier) tout;∎ familiar a whole pile of records tout un tas de disques;∎ he's got a whole collection of old photographs il a toute une collection de vieilles photographies;∎ a whole new way of living une façon de vivre tout à fait nouvelle∎ the cups were still whole les tasses étaient toujours intactes;∎ thy faith hath made thee whole ta foi t'a sauvé(e) (brother, sister)∎ whole brothers des frères qui ont les mêmes parents2 noun(a) (complete thing, unit) ensemble m;∎ the whole of which this is just a part l'ensemble dont ceci n'est qu'une partie;∎ the whole is greater than the sum of its parts le tout est plus grand que la somme des parties∎ the whole of tout;∎ it will be cold over the whole of England il fera froid sur toute l'Angleterre;∎ we spent the whole of August at the seaside nous avons passé tout le mois d'août au bord de la mer;∎ she spent the whole of her fortune on paintings elle a dépensé toute sa fortune ou sa fortune toute entière en tableaux;∎ can you pay the whole of the amount? pouvez-vous payer toute la somme ou l'intégralité de la somme?3 adverb∎ cook the fish whole faites cuire le poisson entier;∎ to swallow sth whole avaler qch en entier;(a) (as a unit) entièrement;∎ as a whole or in part entièrement ou en partie∎ is it true of America as a whole? est-ce vrai pour toute l'Amérique ou l'Amérique en général?;∎ considered as a whole, the festival was a remarkable success dans son ensemble, le festival a été un vrai succèsfamiliar beaucoup□ ;∎ he's a whole lot younger than his wife il est beaucoup plus jeune que sa femme;∎ I don't think it will make a whole lot of difference je ne pense pas que ça fasse une énorme différence;∎ there's a whole lot of things that need explaining il y a beaucoup de choses qui doivent être expliquées;∎ for a whole lot of reasons pour tout un tas de raisonsdans l'ensemble;∎ on the whole he made a good impression dans l'ensemble, il a fait bonne impression;∎ I agree with that on the whole je suis d'accord dans l'ensemble►► American Music whole note (semibreve) ronde f;Mathematics whole number (integer) nombre m entier; -
16 Napier (Neper), John
SUBJECT AREA: Electronics and information technology[br]b. 1550 Merchiston Castle, Edinburgh, Scotlandd. 4 April 1617 Merchiston Castle, Edinburgh, Scotland[br]Scottish mathematician and theological writer noted for his discovery of logarithms, a powerful aid to mathematical calculations.[br]Born into a family of Scottish landowners, at the early age of 13 years Napier went to the University of St Andrews in Fife, but he apparently left before taking his degree. An extreme Protestant, he was active in the struggles with the Roman Catholic Church and in 1594 he dedicated to James VI of Scotland his Plaine Discovery of the Whole Revelation of St John, an attempt to promote the Protestant case in the guise of a learned study. About this time, as well as being involved in the development of military equipment, he devoted much of his time to finding methods of simplifying the tedious calculations involved in astronomy. Eventually he realized that by representing numbers in terms of the power to which a "base" number needed to be raised to produce them, it was possible to perform multiplication and division and to find roots, by the simpler processes of addition, substraction and integer division, respectively.A description of the principle of his "logarithms" (from the Gk. logos, reckoning, and arithmos, number), how he arrived at the idea and how they could be used was published in 1614 under the title Mirifici Logarithmorum Canonis Descriptio. Two years after his death his Mirifici Logarithmorum Canonis Constructio appeared, in which he explained how to calculate the logarithms of numbers and gave tables of them to eight significant figures, a novel feature being the use of the decimal point to distinguish the integral and fractional parts of the logarithm. As originally conceived, Napier's tables of logarithms were calculated using the natural number e(=2.71828…) as the base, not directly, but in effect according to the formula: Naperian logx= 107(log e 107-log e x) so that the original Naperian logarithm of a number decreased as the number increased. However, prior to his death he had readily acceded to a suggestion by Henry Briggs that it would greatly facilitate their use if logarithms were simply defined as the value to which the decimal base 10 needed to be raised to realize the number in question. He was almost certainly also aware of the work of Joost Burgi.No doubt as an extension of his ideas of logarithms, Napier also devised a means of manually performing multiplication and division by means of a system of rods known as Napier's Bones, a forerunner of the modern slide-rule, which evolved as a result of successive developments by Edmund Gunther, William Oughtred and others. Other contributions to mathematics by Napier include important simplifying discoveries in spherical trigonometry. However, his discovery of logarithms was undoubtedly his greatest achievement.[br]BibliographyNapier's "Descriptio" and his "Constructio" were published in English translation as Description of the Marvelous Canon of Logarithms (1857) and W.R.MacDonald's Construction of the Marvelous Canon of Logarithms (1889), which also catalogues all his works. His Rabdologiae, seu Numerationis per Virgulas Libri Duo (1617) was published in English as Divining Rods, or Two Books of Numbering by Means of Rods (1667).Further ReadingD.Stewart and W.Minto, 1787, An Account of the Life Writings and Inventions of John Napier of Merchiston (an early account of Napier's work).C.G.Knott (ed.), 1915, Napier Tercentenary Memorial Volume (the fullest account of Napier's work).KF
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