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1 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 -
2 mathematics
mathematics [‚mæθə'mætɪks]1 noun(UNCOUNT) (science, subject) mathématiques fpl∎ (calculations involved) can you explain the mathematics of it to me? pouvez-vous m'expliquer comment on parvient à ce résultat ou ce chiffre?Un panorama unique de l'anglais et du français > mathematics
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3 Briggs, Henry
SUBJECT AREA: Electronics and information technology[br]b. February 1561 Warley Wood, Yorkshire, Englandd. 26 January 1630 Oxford, England[br]English mathematician who invented common, or Briggsian, logarithms and whose writings led to their general acceptance throughout Europe.[br]After education at Warley Grammar School, Briggs entered St John's College, Cambridge, in 1577 and became a fellow in 1588. Having been Reader of the Linacre Lecture in 1592, he was appointed to the new Chair in Geometry at Gresham House (subsequently Gresham College), London, in 1596. Shortly after, he concluded that the logarithms developed by John Napier would be much more useful if they were calculated to the decimal base 10, rather than to the base e (the "natural" number 2.71828…), a suggestion with which Napier concurred. Until the advent of modern computing these decimal logarithms were invaluable for the accurate calculations involved in surveying, navigation and astronomy. In 1619 he accepted the Savilian Chair in Geometry at Oxford University, having two years previously published the base 10 logarithms of 1,000 numbers. The year 1624 saw the completion of his monumental Arithmetica Logarithmica, which contained fourteen-figure logarithms of 30,000 numbers, together with their trigonometric sines to fifteen decimal places and their tangents and secants to ten places![br]Bibliography1617, Logarithmorum Chilias Primi (the first published reference to base 10 logarithms). 1622, A Treatise of the North West Passage to the South Sea: Through the Continent ofVirginia and by Fretum Hudson.1633, Arithmetica Logarithmica, Gouda, the Netherlands; pub. in 1633 as Trigonmetria Britannica, London.Further ReadingE.T.Bell, 1937, Men of Mathematics, London: Victor Gollancz. See also Burgi, Jost.KF -
4 out
(to allow to come in, go out: Let me in!; I let the dog out.) dejar entrar/salirout adv1. fuerathey're out in the garden están fuera, en el jardínmy father is in, but my mother has gone out mi padre está en casa, pero mi madre ha salido2. apagado3. en voz altatr[aʊt]1 (outside) fuera, afuera■ could you wait out there? ¿podrías esperar allí fuera?■ is it cold out? ¿hace frío en la calle?2 (move outside) fuera■ get out! ¡fuera!3 (not in) fuera■ there's no answer, they must be out no contestan, deben de haber salido■ shall we eat out? ¿comemos fuera?7 (available, existing) diferentes traducciones■ when will her new book be out? ¿cuándo saldrá su nuevo libro?9 (flowers) en flor; (sun, stars, etc) que ha salido■ the sun's out ha salido el sol, brilla el sol, hace sol10 (protruding) que se sale■ don't put your tongue out! ¡no saques la lengua!11 (clearly, loudly) en voz alta12 (to the end) hasta el final; (completely) completamente, totalmente13 SMALLRADIO/SMALL (end of message) fuera1 (extinguished) apagado,-a2 (unconscious) inconsciente; (asleep) dormido,-a■ the boxer knocked his opponent out el boxeador dejó K.O. a su contrincante■ he's out! ¡lo han eliminado!4 (wrong, not accurate) equivocado,-a■ my calculation was out by £5 mi cálculo tenía un error de 5 libras5 (not fashionable) pasado,-a de moda6 (out of order) estropeado,-a7 (unacceptable) prohibido,-a8 (on strike) en huelga9 (tide) bajo,-a10 (over, finished) acabado,-a1 (away from, no longer in) fuera de2 (from a state of) fuera de■ out of print agotado,-a3 (not involved in) fuera de4 (from among) de5 (without) sin■ we're out of tea se nos ha acabado el té, nos hemos quedado sin té■ he's out of work está parado, está sin trabajo6 (because of) por7 (using, made from) de■ made out of wood hecho,-a de madera8 (from) de\SMALLIDIOMATIC EXPRESSION/SMALLout of favour en desgraciaout of sight, out of mind ojos que no ven, corazón que no sienteout of sorts indispuesto,-aout of this world extraordinario,-aout with it! ¡dilo ya!, ¡suéltalo ya!to feel out of it sentirse excluido,-ato be out and about (from illness) estar recuperado,-ato be out for something querer algoto be out of one's head / be out of one's mind estar loco,-ato be out to lunch SMALLAMERICAN ENGLISH/SMALL estar loco,-ato be out to do something estar decidido,-a a hacer algoout tray bandeja de salidasout ['aʊt] vi: revelarse, hacerse conocidoout advshe opened the door and looked out: abrió la puerta y miró para afuerato eat out: comer afuerathey let the secret out: sacaron el secreto a la luzhis money ran out: se le acabó el dineroto turn out the light: apagar la luz5) outside: fuera, afueraout in the garden: afuera en el jardín6) aloud: en voz alta, en altoto cry out: gritarout adj1) external: externo, exterior2) outlying: alejado, distantethe out islands: las islas distantes3) absent: ausente4) unfashionable: fuera de moda5) extinguished: apagadoout prepI looked out the window: miré por la ventanashe ran out the door: corrió por la puerta2) out ofadj.• fuera adj.adv.• afuera adv.• fuera adv.prep.• allá en prep.
I aʊt1) adverb2)a) ( outside) fuera, afuera (esp AmL)is the cat in or out? — ¿el gato está (a)dentro or (a)fuera?
all the books on Dickens are out — todos los libros sobre Dickens están prestados; see also out of
b) (not at home, work)he's out to o at lunch — ha salido a comer
to eat o (frml) dine out — cenar/comer fuera or (esp AmL) afuera
3) ( removed)4)a) (indicating movement, direction)b) (outstretched, projecting)the dog had its tongue out — el perro tenía la lengua fuera or (esp AmL) afuera
arms out, legs together — brazos extendidos, piernas juntas
5) ( indicating distance)ten miles out — ( Naut) a diez millas de la costa
6)a) (ejected, dismissed)b) (from hospital, jail)c) ( out of office)7) ( in phrases)out for: Lewis was out for revenge Lewis quería vengarse; out to + inf: she's out to beat the record está decidida a batir el récord; they're only out to make money su único objetivo es hacer dinero; they're out to get you! — andan tras de ti!, van a por ti! (Esp); see also out of
8)a) (displayed, not put away)are the plates out yet? — ¿están puestos ya los platos?
b) ( in blossom) en florc) ( shining)when the sun's out — cuando hay or hace sol
9)a) (revealed, in the open)once the news was out, she left the country — en cuanto se supo la noticia, se fue del país
out with it! who stole the documents? — dilo ya! ¿quién robó los documentos?
b) (published, produced)a report out today points out that... — un informe publicado hoy señala que...
c) ( in existence) (colloq)10) (clearly, loudly)he said it out loud — lo dijo en voz alta; see also call, cry, speak out
II
1) (pred)a) ( extinguished)to be out — \<\<fire/light/pipe\>\> estar* apagado
b) ( unconscious) inconsciente, sin conocimientoafter five vodkas she was out cold — con cinco vodkas, quedó fuera de combate (fam)
2) (pred)a) ( at an end)before the month/year is out — antes de que acabe el mes/año
b) ( out of fashion) pasado de moda; see also go out 7) a)c) ( out of the question) (colloq)smoking in the bedrooms is absolutely out — ni hablar de fumar en los dormitorios (fam), está terminantemente prohibido fumar en los dormitorios
3) ( Sport)a) ( eliminated)b) ( outside limit) (pred) fuerait was out — cayó or fue fuera
out! — ( call by line-judge or umpire) out!
4) ( inaccurate) (pred)you're way o a long way o miles out — andas muy lejos or muy errado
5) (without, out of) (colloq) (pred)6) < homosexual> declarado
III
he looked out the window — miró (hacia afuera) por la ventana; see also out of 1)
IV
1)a) ( in baseball) out m, hombre m fuerab) ( escape) (AmE colloq) escapatoria f2) outs pl (AmE)a)to be on the outs with somebody — estar* enemistado con alguien
b) ( those not in power)
V
transitive verb revelar la homosexualidad de[aʊt]1. ADVWhen out is the second element in a phrasal verb, eg go out, put out, walk out, look up the verb.1) (=not in) fuera, afuerait's cold out — fuera or afuera hace frío
they're out in the garden — están fuera or afuera en el jardín
to be out — (=not at home) no estar (en casa)
Mr Green is out — el señor Green no está or (LAm) no se encuentra
•
to have a day out — pasar un día fuera de casa•
out you go! — ¡fuera!•
the journey out — el viaje de ida•
to have a night out — salir por la noche (a divertirse); (drinking) salir de juerga or (LAm) de parranda•
to run out — salir corriendo•
the tide is out — la marea está bajasecond I, 3., 3)•
out with him! — ¡fuera con él!, ¡que le echen fuera!2) (=on strike)she's out in Kuwait — se fue a Kuwait, está en Kuwait
three days out from Plymouth — (Naut) a tres días de Plymouth
4)• to be out, when the sun is out — cuando brilla el sol
•
to come out, when the sun comes out — cuando sale el sol5) (=in existence) que hay, que ha habidowhen will the magazine be out? — ¿cuándo sale la revista?
the book is out — se ha publicado el libro, ha salido el libro
6) (=in the open) conocido(-a), fuera•
your secret's out — tu secreto se ha descubierto or ha salido a la luz•
out with it! — ¡desembucha!, ¡suéltalo ya!, ¡suelta la lengua! (LAm)7) (=to or at an end) terminado(-a)8) [lamp, fire, gas] apagado(-a)"lights out at ten pm" — "se apagan las luces a las diez"
9) (=not in fashion) pasado(-a) de modalong dresses are out — ya no se llevan los vestidos largos, los vestidos largos están pasados de moda
10) (=not in power)11) (Sport) [player] fuera de juego; [boxer] fuera de combate; [loser] eliminado(-a)that's it, Liverpool are out — ya está, Liverpool queda eliminado
you're out — (in games) quedas eliminado
out! — ¡fuera!
12) (indicating error) equivocado(-a)your watch is five minutes out — su reloj lleva cinco minutos de atraso/de adelanto
13) (indicating loudness, clearness) en voz alta, en altoright 2., 1), straight 2., 1)speak out (loud)! — ¡habla en voz alta or fuerte!
he's out for all he can get — busca sus propios fines, anda detrás de lo suyo
15)to be out — (=unconscious) estar inconsciente; (=drunk) estar completamente borracho; (=asleep) estar durmiendo como un tronco
I was out for some minutes — estuve inconsciente durante varios minutos, estuve varios minutos sin conocimiento
16)17) (=worn through)18)When out of is part of a set combination, eg out of danger, out of proportion, out of sight, look up the other word.out of —
a) (=outside, beyond) fuera de•
to go out of the house — salir de la casa•
to look out of the window — mirar por la ventana•
to throw sth out of a window — tirar algo por una ventana•
to turn sb out of the house — echar a algn de la casa- feel out of itdanger 1., proportion 1., 1), range 1., 5), season 1., 2), sight 1., 2)b) (cause, motive) pornecessity, spite•
out of respect for you — por el respeto que te tengoc) (origin) de•
a box made out of wood — una caja (hecha) de maderad) (=from among) de cadae) (=without) sinit's out of stock — (Comm) está agotado
breath 1., 1)to be out of hearts — (Cards) tener fallo a corazones
f) (Vet)Blue Ribbon, by Black Rum out of Grenada — el caballo Blue Ribbon, hijo de Black Rum y de la yegua Grenada
2.3.VT (=expose as homosexual) revelar la homosexualidad de4.VI* * *
I [aʊt]1) adverb2)a) ( outside) fuera, afuera (esp AmL)is the cat in or out? — ¿el gato está (a)dentro or (a)fuera?
all the books on Dickens are out — todos los libros sobre Dickens están prestados; see also out of
b) (not at home, work)he's out to o at lunch — ha salido a comer
to eat o (frml) dine out — cenar/comer fuera or (esp AmL) afuera
3) ( removed)4)a) (indicating movement, direction)b) (outstretched, projecting)the dog had its tongue out — el perro tenía la lengua fuera or (esp AmL) afuera
arms out, legs together — brazos extendidos, piernas juntas
5) ( indicating distance)ten miles out — ( Naut) a diez millas de la costa
6)a) (ejected, dismissed)b) (from hospital, jail)c) ( out of office)7) ( in phrases)out for: Lewis was out for revenge Lewis quería vengarse; out to + inf: she's out to beat the record está decidida a batir el récord; they're only out to make money su único objetivo es hacer dinero; they're out to get you! — andan tras de ti!, van a por ti! (Esp); see also out of
8)a) (displayed, not put away)are the plates out yet? — ¿están puestos ya los platos?
b) ( in blossom) en florc) ( shining)when the sun's out — cuando hay or hace sol
9)a) (revealed, in the open)once the news was out, she left the country — en cuanto se supo la noticia, se fue del país
out with it! who stole the documents? — dilo ya! ¿quién robó los documentos?
b) (published, produced)a report out today points out that... — un informe publicado hoy señala que...
c) ( in existence) (colloq)10) (clearly, loudly)he said it out loud — lo dijo en voz alta; see also call, cry, speak out
II
1) (pred)a) ( extinguished)to be out — \<\<fire/light/pipe\>\> estar* apagado
b) ( unconscious) inconsciente, sin conocimientoafter five vodkas she was out cold — con cinco vodkas, quedó fuera de combate (fam)
2) (pred)a) ( at an end)before the month/year is out — antes de que acabe el mes/año
b) ( out of fashion) pasado de moda; see also go out 7) a)c) ( out of the question) (colloq)smoking in the bedrooms is absolutely out — ni hablar de fumar en los dormitorios (fam), está terminantemente prohibido fumar en los dormitorios
3) ( Sport)a) ( eliminated)b) ( outside limit) (pred) fuerait was out — cayó or fue fuera
out! — ( call by line-judge or umpire) out!
4) ( inaccurate) (pred)you're way o a long way o miles out — andas muy lejos or muy errado
5) (without, out of) (colloq) (pred)6) < homosexual> declarado
III
he looked out the window — miró (hacia afuera) por la ventana; see also out of 1)
IV
1)a) ( in baseball) out m, hombre m fuerab) ( escape) (AmE colloq) escapatoria f2) outs pl (AmE)a)to be on the outs with somebody — estar* enemistado con alguien
b) ( those not in power)
V
transitive verb revelar la homosexualidad de -
5 Ewart, Peter
SUBJECT AREA: Textiles[br]b. 14 May 1767 Traquair, near Peebles, Scotlandd. September 1842 London, England[br]Scottish pioneer in the mechanization of the textile industry.[br]Peter Ewart, the youngest of six sons, was born at Traquair manse, where his father was a clergyman in the Church of Scotland. He was educated at the Free School, Dumfries, and in 1782 spent a year at Edinburgh University. He followed this with an apprenticeship under John Rennie at Musselburgh before moving south in 1785 to help Rennie erect the Albion corn mill in London. This brought him into contact with Boulton \& Watt, and in 1788 he went to Birmingham to erect a waterwheel and other machinery in the Soho Manufactory. In 1789 he was sent to Manchester to install a steam engine for Peter Drinkwater and thus his long connection with the city began. In 1790 Ewart took up residence in Manchester as Boulton \& Watt's representative. Amongst other engines, he installed one for Samuel Oldknow at Stockport. In 1792 he became a partner with Oldknow in his cotton-spinning business, but because of financial difficulties he moved back to Birmingham in 1795 to help erect the machines in the new Soho Foundry. He was soon back in Manchester in partnership with Samuel Greg at Quarry Bank Mill, Styal, where he was responsible for developing the water power, installing a steam engine, and being concerned with the spinning machinery and, later, gas lighting at Greg's other mills.In 1798, Ewart devised an automatic expansion-gear for steam engines, but steam pressures at the time were too low for such a device to be effective. His grasp of the theory of steam power is shown by his paper to the Manchester Literary and Philosophical Society in 1808, On the Measure of Moving Force. In 1813 he patented a power loom to be worked by the pressure of steam or compressed air. In 1824 Charles Babbage consulted him about automatic looms. His interest in textiles continued until at least 1833, when he obtained a patent for a self-acting spinning mule, which was, however, outclassed by the more successful one invented by Richard Roberts. Ewart gave much help and advice to others. The development of the machine tools at Boulton \& Watt's Soho Foundry has been mentioned already. He also helped James Watt with his machine for copying sculptures. While he continued to run his own textile mill, Ewart was also in partnership with Charles Macintosh, the pioneer of rubber-coated cloth. He was involved with William Fairbairn concerning steam engines for the boats that Fairbairn was building in Manchester, and it was through Ewart that Eaton Hodgkinson was introduced to Fairbairn and so made the tests and calculations for the tubes for the Britannia Railway Bridge across the Menai Straits. Ewart was involved with the launching of the Liverpool \& Manchester Railway as he was a director of the Manchester Chamber of Commerce at the time.In 1835 he uprooted himself from Manchester and became the first Chief Engineer for the Royal Navy, assuming responsibility for the steamboats, which by 1837 numbered 227 in service. He set up repair facilities and planned workshops for overhauling engines at Woolwich Dockyard, the first establishment of its type. It was here that he was killed in an accident when a chain broke while he was supervising the lifting of a large boiler. Engineering was Ewart's life, and it is possible to give only a brief account of his varied interests and connections here.[br]Further ReadingObituary, 1843, "Institution of Civil Engineers", Annual General Meeting, January. Obituary, 1843, Manchester Literary and Philosophical Society Memoirs (NS) 7. R.L.Hills, 1987–8, "Peter Ewart, 1767–1843", Manchester Literary and PhilosophicalSociety Memoirs 127.M.B.Rose, 1986, The Gregs of Quarry Bank Mill The Rise and Decline of a Family Firm, 1750–1914, Cambridge (covers E wart's involvement with Samuel Greg).R.L.Hills, 1970, Power in the Industrial Revolution, Manchester; R.L.Hills, 1989, Powerfrom Steam, Cambridge (both look at Ewart's involvement with textiles and steam engines).RLH -
6 enter
A vtr1 ( go into) entrer dans, pénétrer dans [room, building] ; to enter the house by the back door entrer dans la maison par la porte de derrière ; here the river enters the sea ici le fleuve se jette dans la mer ;2 ( commence) entrer dans [phase, period] ; entamer [new term, final year] ; she is entering her third year as president elle entame sa troisième année comme présidente ; he is entering his fiftieth year il entre dans sa cinquantième année ; the country is entering a recession le pays s'engage dans la récession ;3 (join, sign up for) entrer dans [profession, firm] ; participer à, prendre part à [race, competition] ; entrer à [school, university, convent, army, party, EC] ; to enter parliament entrer au parlement ; to enter the war entrer en guerre ; to enter the Church entrer en religion or dans les ordres ;4 ( put forward) inscrire [competitor, candidate, pupil] (for à) ; engager [horse] (for dans) ; présenter [poem, picture] (for à) ;5 (register, record) (on form, list, ledger) inscrire [detail, figure, fact] (in dans) ; (in diary, notebook) noter [fact, appointment] (in dans) ; to enter an item in the books Accts porter un article or passer une écriture (sur le livre de comptes) ; to enter an objection élever une objection ; to enter a plea of guilty plaider coupable ;6 ( penetrate) pénétrer dans, entrer dans ; the bullet entered the lung la balle a pénétré dans le poumon ;7 fig ( come into) to enter sb's mind ou head venir à l'idée or à l'esprit de qn ; it never entered my mind that il ne m'était jamais venu à l'idée que ; a note of anger entered her voice il y avait une pointe de colère dans sa voix ;8 Comput entrer [data].B vi1 [person, animal] entrer ; the bullet entered above the ear la balle est entrée or a pénétré au-dessus de l'oreille ; ‘enter Ophelia’ Theat ‘entre Ophélie’ ;2 ( enrol) to enter for s'inscrire à [exam] ; s'inscrire pour [race] ; I hope they don't enter j'espère qu'ils ne participeront pas à l'épreuve.■ enter into:▶ enter into [sth]1 ( embark on) entrer en [correspondence, conversation] ; entamer [negotiations, debate, argument] ; se lancer dans [explanations, apologies] ; conclure [deal, alliance] ; passer [agreement, contract] ; to enter into detail entrer dans les détails ;2 ( become involved in) entrer dans, se laisser gagner par [spirit] ; partager [problem] ; to enter into the spirit of the game entrer dans le jeu ;3 ( be part of) faire partie de [plans, calculations] ; that doesn't enter into it c'est sans rapport.■ enter on = enter upon.■ enter up:▶ enter up [sth], enter [sth] up inscrire [figure, total, detail].■ enter upon:▶ enter upon [sth]1 ( undertake) s'engager dans [war, marriage] ;2 Jur prendre possession de [inheritance].
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