develop as a series in powers of x

1) Mathematics: develop as series in x

2) Makarov: (что-л.) develop smth as series in powers of x, (что-л.) express smth as power series in (powers of) x

* * *

разлага́ть в ряд мат. — expand into a series

разлага́ть в ряд по степеня́м х — develop as a series in powers of x, expand in a power series of x, express as a power series in x

разлага́ть изображе́ние ( в фототелеграфии) — analyse [scan] the subject copy; тлв. analyse [scan] the scene

разлага́ть на мно́жители — to factor

разлага́ть на составля́ющие, напр. ско́рость — resolve, e. g., velocity into components

разлага́ть по фо́рмуле, напр. Те́йлора — expand (a function) by its Taylor series expansion

Makarov: develop smth as series in powers of x, express smth as power series in (powers of) x

1 to establish.

no lograba establecer contacto con la torre de control he couldn't make o establish contact with the control tower

la policía no ha podido establecer la causa de su muerte the police have been unable to establish o determine the cause of death

las normas del club establecen que… the club rules state that…

Establecieron directrices They established guidelines.

Establecieron a Ricardo en la oficina They established Richard at the office.

2 to establish (instalar) (colonia, poblado).

* * *

Conjugation model [ AGRADECER], like link=agradecer agradecer

► verbo transitivo

1 (gen) to establish; (fundar) to found, set up

2 (récord) to set

3 (ordenar) to state, lay down, establish

■ tal como establece la ley as the law states

► verbo pronominal establecerse

1 (en un lugar) to settle; (en un negocio) to set up in business

* * *

- establecerse

* * *

1. VT

1) [+ relación, comunicación] to establish

2) (=fundar) [+ empresa] to establish; [+ colonia] to settle

3) (=dictaminar) to state, lay down

4) (=expresar) [+ idea, principio] to establish; [+ norma] to lay down; [+ criterio] to set

5) [+ récord] to set

establecerse

* * *

verbo transitivo

1)

a) <colonia/dictadura> to establish; < campamento> to set up

b) <relaciones/contacto> to establish

2) ( dejar sentado)

a) <criterios/bases> to establish, lay down; < precio> to fix, set; < precedente> to establish, set

b) (frml) ley/reglamento ( disponer) to state, establish

c) < uso> to establish

d) <récord/marca/moda> to set

3) ( determinar) to establish

establecerse v pron colono/emigrante to settle; comerciante/empresa to set up

* * *

= call for, determine, establish, institute, instruct, lay down, set, set up, settle, map out, set forth, set out, bring into + being.

Ex. The main rules call for entry of societies under name and institutions under place.

Ex. This assignment of intellectual responsibility is important, as we have seen earlier, since it determines the heading for the main entry.

Ex. The intention is to establish a general framework, and then to give exceptions or further explanation and examples for each area in turn.

Ex. The librarians have instituted a series of campaigns, including displays and leaflets on specific issues, eg family income supplement, rent and rates rebates, and school grants.

Ex. Some of the above limitations of title indexes can be overcome by exercising a measure of control over the index terminology, and by inputting and instructing the computer to print a number of pre-determined links or references between keywords.

Ex. He was the son of a bricklayer who laid down as early as 1859 that 'the assistance of readers in their researches' is one of the duties that 'have daily to be provided for' in ordinary public libraries.

Ex. If no fines are to be charged for a particular combination of borrower and material type, set the maximum fine to zero.

Ex. The searcher now decides to set up an SDI profile.

Ex. Once the name to be used in a heading and its form have been settled, it is time to decide upon the entry element, or in more general terms, to examine the preferred order of the components of a name as the name is to appear as a heading.

Ex. Down the years, the information industry has mapped out for itself the categories of information with which it is prepared to deal.

Ex. She sets forth some of the conditions which may have led to this situation in the hope that it may bring about further study.

Ex. The regulation sets out the requirement for compulsory notification of agreements to the Commission and gives the Commission powers to grant exemption to the rules.

Ex. MARC was brought into being originally to facilitate the creation of LC catalogue cards.

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* establecer alianzas = make + alliances.

* establecer canales para = establish + channels for.

* establecer características = lay down + features.

* establecer comparaciones = make + comparisons.

* establecer comparaciones entre elementos comparables = compare + like with like.

* establecer conexión = establish + link, make + connection.

* establecer contacto = make + contact.

* establecer contactos = liaise (with/between).

* establecer contactos profesionales = networking.

* establecer criterios para = make + provision for.

* establecer directrices = chart + direction.

* establecer disposiciones para = make + provisions for.

* establecer el contexto = set + context.

* establecer el origen de = trace + the origin of.

* establecer el tema = set + the theme.

* establecer el tono = set + the theme.

* establecer equivalencias entre = map onto/to.

* establecer lazos afectivos = bond.

* establecer límites = draw + limits.

* establecer norma = legislate.

* establecer normas = make + provision, establish + standards.

* establecer normas de funcionamiento = establish + policy.

* establecer normativa = govern.

* establecer prioridades = prioritise [prioritize, -USA], establish + priorities, set + priorities.

* establecer reglas = make + provision.

* establecer reglas para = lay down + rules for.

* establecer relaciones = build + relationships, develop + relationships, develop + relations, build + relations, structure + relationships.

* establecer relaciones con = forge + links with, forge + relationships with, forge + ties.

* establecerse = settle in, settle down.

* establecer sectores = sectoring.

* establecer una analogía = draw + analogy.

* establecer una colaboración = forge + collaboration.

* establecer una condición = specify + requirement.

* establecer una conexión = achieve + connection.

* establecer una convención = establish + convention.

* establecer un acuerdo = work out + agreement.

* establecer una diferencia = draw + demarcation.

* establecer una norma = lay down + standard, set down + rule.

* establecer una normalización = impose + standardization.

* establecer una política = institute + policy.

* establecer una regla = frame + rule.

* establecer un equilibrio = establish + a balance.

* establecer un límite = set + limit.

* establecer un norma = give + prescription.

* establecer un paralelismo = draw + parallel.

* establecer un paralelo = draw + parallel.

* establecer un principio = establish + principle, set forth + cause.

* establecer un record = establish + a record.

* establecer un vínculo = provide + an interface.

* establecer valores = establish + values.

* establecer vínculos afectivos = bond.

* volver a establecer equivalencias = remap.

* * *

verbo transitivo

1)

a) <colonia/dictadura> to establish; < campamento> to set up

b) <relaciones/contacto> to establish

2) ( dejar sentado)

a) <criterios/bases> to establish, lay down; < precio> to fix, set; < precedente> to establish, set

b) (frml) ley/reglamento ( disponer) to state, establish

c) < uso> to establish

d) <récord/marca/moda> to set

3) ( determinar) to establish

establecerse v pron colono/emigrante to settle; comerciante/empresa to set up

* * *

* * *

establecer [E3 ]

1 ‹colonia› to establish; ‹campamento› to set up

estableció su residencia en Mónaco he took up residence in Monaco

2 ‹relaciones/comunicaciones/contacto› to establish

3 ‹dictadura› to establish, set up

B (dejar sentado)

1 ‹criterios/bases› to establish, lay down; ‹precio› to fix, set

conviene dejar establecido que … we should make it clear that …

establecer un precedente to establish o set a precedent

2 ( frml); «ley/reglamento» (disponer) to state, establish

como se establece en la Constitución as laid down o established in the Constitution

tres veces el precio establecido por la ley three times the legal price

3 ‹uso› to establish; ‹moda› to set

4 ‹récord/marca› to set

C (determinar) to establish

no se ha podido establecer qué fue lo que ocurrió it has been impossible to ascertain o establish exactly what happened

1 «colono/emigrante» to settle

2 «comerciante/empresa» to set up

se estableció por su cuenta he set up his own business ( o practice etc), he set up on his own

* * *

a) ‹colonia/dictadura› to establish;

◊ estableció su residencia en Mónaco he took up residence in Monaco

b) ‹relaciones/contacto› to establish

a) ‹criterios/bases› to establish, lay down;

b) (frml) [ley/reglamento] ( disponer) to state, establish

c) ‹récord/marca/moda› to set;

* * *

♦ vt

1. [instalar] [colonia, poblado] to establish;

establecer residencia en to take up residence in

2. [fijar, emprender] [régimen, relaciones, comunicación] to establish;

no lograba establecer contacto con la torre de control he couldn't make o establish contact with the control tower

3. [expresar] [principios, criterios] to establish, to lay down;

estableció las bases de la física moderna he laid the foundations of modern physics

4. [estipular] to state, to stipulate;

las normas del club establecen que… the club rules state that…;

según establece la ley,… as stipulated by law,…

5. [averiguar] to establish, to determine;

la policía no ha podido establecer la causa de su muerte the police have been unable to establish o determine the cause of death

♦ See also the pronominal verb establecerse

* * *

1 establish

2 negocio set up

* * *

establecer {53} vt

fundar, instituir: to establish, to found, to set up

♦ See also the reflexive verb establecerse

* * *

establecer vb

1. (crear) to set up [pt. & pp. set]

2. (demostrar) to establish

3. (ordenar) to state

SUBJECT AREA: Land transport, Railways and locomotives, Steam and internal combustion engines

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Orphaned as a child, Hamilton went to work for Southern Pacific Railroad in his teens, and then worked for several other companies. In his spare time he learned mathematics and physics from a retired professor. In 1911 he joined the White Motor Company, makers of road motor vehicles in Denver, Colorado, where he had gone to recuperate from malaria. He remained there until 1922, apart from an eighteenth-month break for war service.

Upon his return from war service, Hamilton found White selling petrol-engined railbuses with mechanical transmission, based on road vehicles, to railways. He noted that they were not robust enough and that the success of petrol railcars with electric transmission, built by General Electric since 1906, was limited as they were complex to drive and maintain. In 1922 Hamilton formed, and became President of, the Electro- Motive Engineering Corporation (later Electro-Motive Corporation) to design and produce petrol-electric rail cars. Needing an engine larger than those used in road vehicles, yet lighter and faster than marine engines, he approached the Win ton Engine Company to develop a suitable engine; in addition, General Electric provided electric transmission with a simplified control system. Using these components, Hamilton arranged for his petrol-electric railcars to be built by the St Louis Car Company, with the first being completed in 1924. It was the beginning of a highly successful series. Fuel costs were lower than for steam trains and initial costs were kept down by using standardized vehicles instead of designing for individual railways. Maintenance costs were minimized because Electro-Motive kept stocks of spare parts and supplied replacement units when necessary. As more powerful, 800 hp (600 kW) railcars were produced, railways tended to use them to haul trailer vehicles, although that practice reduced the fuel saving. By the end of the decade Electro-Motive needed engines more powerful still and therefore had to use cheap fuel. Diesel engines of the period, such as those that Winton had made for some years, were too heavy in relation to their power, and too slow and sluggish for rail use. Their fuel-injection system was erratic and insufficiently robust and Hamilton concluded that a separate injector was needed for each cylinder.

In 1930 Electro-Motive Corporation and Winton were acquired by General Motors in pursuance of their aim to develop a diesel engine suitable for rail traction, with the use of unit fuel injectors; Hamilton retained his position as President. At this time, industrial depression had combined with road and air competition to undermine railway-passenger business, and Ralph Budd, President of the Chicago, Burlington \& Quincy Railroad, thought that traffic could be recovered by way of high-speed, luxury motor trains; hence the Pioneer Zephyr was built for the Burlington. This comprised a 600 hp (450 kW), lightweight, two-stroke, diesel engine developed by General Motors (model 201 A), with electric transmission, that powered a streamlined train of three articulated coaches. This train demonstrated its powers on 26 May 1934 by running non-stop from Denver to Chicago, a distance of 1,015 miles (1,635 km), in 13 hours and 6 minutes, when the fastest steam schedule was 26 hours. Hamilton and Budd were among those on board the train, and it ushered in an era of high-speed diesel trains in the USA. By then Hamilton, with General Motors backing, was planning to use the lightweight engine to power diesel-electric locomotives. Their layout was derived not from steam locomotives, but from the standard American boxcar. The power plant was mounted within the body and powered the bogies, and driver's cabs were at each end. Two 900 hp (670 kW) engines were mounted in a single car to become an 1,800 hp (l,340 kW) locomotive, which could be operated in multiple by a single driver to form a 3,600 hp (2,680 kW) locomotive. To keep costs down, standard locomotives could be mass-produced rather than needing individual designs for each railway, as with steam locomotives. Two units of this type were completed in 1935 and sent on trial throughout much of the USA. They were able to match steam locomotive performance, with considerable economies: fuel costs alone were halved and there was much less wear on the track. In the same year, Electro-Motive began manufacturing diesel-electrie locomotives at La Grange, Illinois, with design modifications: the driver was placed high up above a projecting nose, which improved visibility and provided protection in the event of collision on unguarded level crossings; six-wheeled bogies were introduced, to reduce axle loading and improve stability. The first production passenger locomotives emerged from La Grange in 1937, and by early 1939 seventy units were in service. Meanwhile, improved engines had been developed and were being made at La Grange, and late in 1939 a prototype, four-unit, 5,400 hp (4,000 kW) diesel-electric locomotive for freight trains was produced and sent out on test from coast to coast; production versions appeared late in 1940. After an interval from 1941 to 1943, when Electro-Motive produced diesel engines for military and naval use, locomotive production resumed in quantity in 1944, and within a few years diesel power replaced steam on most railways in the USA.

Hal Hamilton remained President of Electro-Motive Corporation until 1942, when it became a division of General Motors, of which he became Vice-President.

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