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Longman Dictionary of Contemporary English

base

I.verb
COLLOCATIONS FROM OTHER ENTRIES
a broad base
▪ The course is designed to provide a broad base for students looking to work in IT.
a client base (=all the people, companies etc that are your clients)
▪ The company quickly expanded its client base in the US.
a data base/data bank (=a large amount of data stored in a computer system)
▪ We can compare insurance prices from different companies on the database.
a firm base
▪ Mount the tanks side by side on a firm base.
an army base/camp
▪ the local army base
base a judgment on sth (=make a judgment because of something )
▪ His judgment was based on bad information.
base an estimate on sth (=use something as information to give an estimate)
▪ The government based its estimate on data from the 2008 census.
base metal
base rate
basic/base salary (=the basic amount that someone is paid)
▪ You get a basic salary, and then other benefits on top.
be based on a misunderstanding (=happen or be done as a result of a misunderstanding)
▪ The whole argument was based on a misunderstanding.
be based on a principle
▪ A good education ought to be based on multicultural principles.
be based on an analysis of sth
▪ This work has been based entirely on an analysis of large mammals.
be based on common sense
▪ The job doesn't require much training because it's based on common sense.
be based on criteria
▪ Normal child development is based upon certain criteria.
be based on the belief that …
▪ Our policies must be based on the belief that the planet’s resources are finite.
be based on/rest on an assumption
▪ Our plans were based on the assumption that everyone would be willing to help.
broadly based
▪ a broadly based school curriculum
fan base (=the people who are someone’s biggest fans)
▪ The band has built up a loyal fan base over the years.
first base
▪ He plays first base for the Red Sox.
home base
▪ The band’s home base is Seattle.
loosely based on
▪ The film is loosely based on the novel.
power base
▪ the party’s traditional power base
second base
the base rateBritish English (= the rate of interest set by the Bank of England, on which all British banks base their charges)
▪ The interest charged on your overdraft changes in line with bank base rates.
COLLOCATIONS FROM CORPUS
■ NOUN
decision
▪ There is now a much greater difference between the probabilities of success and failure on which to base a decision.
▪ To base a major policy decision on shoddy science has never been acceptable.
▪ Similarly the redundancy package was geared to match the relocation package so that staff would not base their decision on financial matters.
▪ As computer systems make information more timely, top management can base its decisions on actual data rather than personal observation.
▪ But it's much easier these days to get the best information on which to base your decision.
▪ Large numbers of executives base their business decisions solely on opinions.
▪ There is not a lot of case law for the adjudication officers to base their decisions on.
▪ Either way, the executive and family will have gained more facts on which to base their decision.
information
▪ They give managers additional information on which to base their judgements, but they do not provide a company control system.
▪ But it's much easier these days to get the best information on which to base your decision.
▪ We note the direction of travel and radio the information back to base.
▪ Do we have sufficient information on which to base change?
▪ They must find the information for you to base your strategy on.
PHRASES FROM OTHER ENTRIES
broadly-based
get to/reach first base
▪ Compared to this little middle-aged lot, we didn't get to first base!
oil-based/carbon-based/computer-based etc
EXAMPLES FROM CORPUS
▪ Critics of the market economy base their position on the following points.
▪ It is too early, he says, to base any firm recommendations on the work so far.
▪ Most airlines base their waiting lists on the cost of the individual ticket.
▪ The problem with any such guesstimate is that, of course, we are basing our calculations on a statistical sample of one.
▪ The West could do worse than to base its policy towards the Middle East on that aspiration.
▪ What are you basing this on?
II.noun
COLLOCATIONS FROM CORPUS
■ ADJECTIVE
broad
▪ The broader property base which we would introduce would mean a fairer distribution of the burden.
▪ Also, try to sell a broader base of products.
▪ We had previously gone for a somewhat broader base to the business for perfectly good reasons.
economic
▪ The remainder of those first franchises divided into second and third tiers according to the economic base provided by the populations they served.
▪ Many like Kumar originally went abroad because there was no dynamic economic base in their own country.
▪ The Barringtons vividly demonstrate that the village as an occupational community declined because the underlying economic base could no longer support it.
▪ The unemployment picture reflects these changes in the economic base.
▪ There is a lot of inertia in the landscape with places persisting even after their former economic base has disappeared.
▪ The new policy would seek to reverse the pattern of out-migration while strengthening the economic base of inner-city areas.
▪ Changes in the economic base of society determine shifts in the political and legal superstructure.
▪ Such a thin economic base could support only a limited population, in fact even less than the county actually held.
firm
▪ A shift in the weather pattern, bringing low pressure systems across the Alps in December laid down a firm base.
▪ They need to have a firm local base.
▪ He will have to work himself into the job and build a firm political base.
▪ Jacobitism as a movement was as yet too incoherent and badly organised, and lacked a firm social base.
▪ Your main efforts should now focus on establishing a firm home base.
▪ There is a sort of secret cave under the far bank which must be filled before a firm base can be established.
▪ The capitalist tenant, the concessionaire and so forth will similarly have a firm base in the growing economically petty-bourgeois element.
▪ That hope rests on a firm base.
industrial
▪ It faced hostility from Labour leaders, and never succeeded in gaining an electoral or industrial base.
▪ Our industrial base proved decisive in the conflict.
▪ Some people felt that what West Belfast needs is the development of an industrial base rather than the current proliferation of shopping centres.
▪ As fire power was exported abroad, an industrial base was solidified at home.
▪ Genuinely skilled workers in this country are simply too scarce for the sort of industrial base we want to create.
▪ They must be able to plan adequately for sufficient waste management capacity to serve their industrial base.
▪ They are also restricting access to their markets, which will minimise the economic dislocation and the ultimate loss of industrial base.
▪ We could have preserved our industrial base.
large
▪ A firm in Maidenhead designed an hydraulically operated bar stool with a large base housing a compressed air tank.
▪ What the manufacturer / retailer needs is a larger supplier base in order to be more competitive.
▪ We have a very large fixed asset base of £5 billion, producing £3 billion of sales.
▪ But, the base had much less utility than the larger base built by the Marines at Camp Pendleton.
▪ It was Lloyd George pirouetting on the large base of the Conservative Party.
▪ Special Rules Snotling Bases Snotlings are so small that they are modelled in multiples on a single large base.
▪ Down by way of Lisburn, the town with the large army base and Northern Ireland army headquarters.
▪ Nearly everything else follows the ground plan of the later, and much larger, colony base station.
main
▪ Q29 Examine the main dimensions or bases which a marketing manager might use to segment his market.
▪ It takes San Francisco marriage certificates for 1980 as its main data base.
▪ By 1839 it was under the control of Playne and Smith, whose main base was Dunkirk Mill.
▪ Enlistedmen control the main military base, where the army's weapons are stored.
▪ The scheme is applicable whether or not the school in question is the student's main base.
▪ It is his main base, and where the news will be.
manufacturing
▪ You can't afford the service industries unless you've got a good manufacturing base.
▪ Detectives believe they were about to be shipped to the manufacturing base in a spare room of the house in Highgate.
▪ We are losing all the supporting network of training, research, development and suppliers which keeps the manufacturing base in being.
▪ In particular, there has been a rapid erosion of Britain's manufacturing base.
▪ Therefore, will he use all the influence of his Department to expand the shrinking manufacturing base of Britain?
▪ The decline in Britain's manufacturing base was indisputable, though the causes were open to scholarly debate.
military
▪ It served as a military base for a foreign power still fighting to subdue the remainder of the country.
▪ At one military base, one housing area had no sidewalks.
▪ This could make lonely Shemya themost controversial military base on the planet.
naval
▪ When a naval base or arms factory is closed down, people move away to find jobs.
▪ Proponents for moving Lindbergh to Miramar contend that the 24, 000-acre Naval base contains a much better safety zone.
▪ These include a naval base, a composite air unit, a growing communications, intelligence collection, and logistics support infrastructure.
▪ The harbor of the naval base seethed with tremendous activity.
▪ Veronica Froman, who oversees all the naval installations in the two states, including the five naval bases in San Diego.
▪ The Sea Cadets had a summer camp in the naval base at Aultbea with good facilities.
▪ They realised the strategic importance of the site and used it as a naval base and trading post.
political
▪ They will also be concerned with more immediate issues involving the well-being of the party or other organization providing their political base.
▪ Each would have spent more time churning up enthusiasm within his political base.
▪ He will have to work himself into the job and build a firm political base.
▪ Netanyahu faces a major challenge from what, until now, had been his political base.
▪ After that, any chief minister daring to build his own political base stood in danger of being turned out.
▪ Rules have yet to be written; traditions have yet to be established. Political power bases are initially fluid and unstable.
▪ He said his only political base was Indira Gandhi.
▪ According to this approach, because local governments have their own political bases, they are always potential rivals to the centre.
solid
▪ They have spent ten years perfecting their own blend of rhythm and blues and building up a solid base in the region.
▪ It will no longer act as a spring but at least it will give the cabin a more solid base.
▪ Shamrock cup and saucer by Beleek Bestlite 31170 solid brass lamp base with dark green enamelled shade.
▪ Second, economic expansion and diversification have provided a solid fiscal base for local government.
▪ These initiatives are expected to produce a solid sales base for future development and an improving profit picture.
▪ Reagan kept a solid base of conservatives by holding fast to his principles.
▪ John knew he could manage - he hadn't borrowed much money and he had a solid regular customer base.
▪ The surface was soggy, but there was a solid base underneath.
strong
▪ This means they must be mounted on a strong flat base on a good floor - not bouncy floorboards.
▪ Beyond its business district, the community has a strong residential base that includes a sizable percentage of retirees.
▪ The department has a strong research base reflecting commitment to clinical nursing and the utilisation of research.
▪ Andy Davis, with a strong departmental power base in marketing, had ceased to argue so strongly for diversification.
▪ When you start with reading for enjoyment then proceed to write that is the strongest base.
▪ Tradition, then, becomes a strong power base from which to employ a defensive strategy to resist change.
▪ Since then, with the help of a strong export base Vauxhall's complex at Ellesmere Port hasn't looked back.
▪ To accomplish such actions will require a strong consultant power base and political access to senior executives.
■ NOUN
air
▪ Clinton said as rain pounded down at the air base, where he landed.
▪ Then I went to work at the Alameda naval air base, as a machinist's helper.
▪ They had an air base there where the Mr Force landed the C-130s and so forth.
▪ Their targets were the air bases.
customer
▪ Again, 3i differs here in that 35% of all the money it invests goes to its existing customer base.
▪ The customer base was considerably strengthened and a variety of new products launched.
▪ Are there other untapped demographics you can identify to build an additional customer base?
▪ This information is supplemented by a wealth of subscriber-supplied data from a wide-ranging customer base.
▪ Independent grocery stores have used Nordstrom-style personal service for years to maintain loyal customer bases.
▪ Pieper is quite frank about buying customer base, the result he anticipates from these other joint ventures.
▪ And the unhappy customer base stayed loyal in enormous numbers so that the company is now reaping the benefit.
home
▪ At the home bases of Viking raiding parties?
▪ Every day students choose a desk to serve as their home base and fill it with their supplies.
▪ Besides, away from their home base, knights were useless on their own.
▪ A relationship will have one of two home bases, Dym says: contraction and betrayal, or resolution.
▪ Evening is a time for partying and meeting new people away from your home base.
▪ The carrier operates mostly out of its home base in Minneapolis, and from Detroit and Memphis, Tenn.
▪ One refers to the page that appears when you start your browser and acts as your home base for exploring the Web.
knowledge
▪ This project will attempt to show that when firms are experiencing this dynamic competition they will respond by augmenting their knowledge base.
▪ The knowledge base, on the other hand, contains all of the information that is specific to a particular application.
▪ An appropriate selection of firms will be made whose knowledge base is currently threatened by new technology or a novel design configuration.
▪ Typically an expert system consists of a piece of software called an inference engine and another piece called a knowledge base.
▪ A training shell is a generalised tutorial system which can operate with a variety of knowledge bases.
▪ As the flow of information was fixed, data structures could be tailored to the specific knowledge bases using them.
▪ We may be undergoing a rapid rate of change in our knowledge base now, and that may be hard to assimilate.
▪ Hence, there is a need to use some automated technique for rigorously incorporating new knowledge into the existing knowledge base.
power
▪ But middle-class flight destroys a school system because when middle-class parents flee, so does the power base.
▪ As a result, Shas's power base and electoral support have been garnered from the traditional strongholds of the Likud.
▪ Successful application of these strategies can, in turn, build additional power bases of reputation and professional credibility.
▪ Expertise Expertise is a major power base.
▪ Both groups had d power base of expertise.
▪ All these power bases depend on perceptions.
▪ Political power bases are initially fluid and unstable.
rate
▪ Interest will be charged at the rate of 1 percent above the Bank base rate prevailing for the relevant period.
▪ Money markets fear a half point base rate rise on a Tory defeat.
▪ Their money is largely from wholesale sources so interest rates are uncompetitive during times of high base rates.
▪ We would levy the charge at 1 percent above the Bank base rate prevailing for the relevant period.
▪ Assume the current base rate is 10%.
▪ Mortgage rates are still at around 9.25 percent, which is now 2.25 percent above the bank base rate.
▪ Seventy percent then thought bank base rates would either fall or plateau.
▪ The Bank in this case endorses the change by bringing its intervention rates in line with the new base rate.
tax
▪ Translated into today's idiom, the more that local government can rely upon its own tax base, the better.
▪ If the economy is managed properly it can benefit us all with some impressive growth in jobs and tax base.
▪ Second, that in general this means reducing the value of allowances and broadening the tax base rather than increasing marginal tax rates.
▪ The corporate income tax base was broadened while the tax rate was reduced.
▪ The tax base should be widely and fairly evenly dispersed. 2.
▪ Instead, we looked at annexing a tax base.
▪ From the revenue side the solution adopted was to change both tax bases and tax rates.
▪ And local officials liked it because it promised to enlarge the tax base and revitalize declining downtown areas.
■ VERB
broaden
▪ Cica is designed to broaden its business base by creating a franchise within the 13-30 year old bracket.
▪ Or will it broaden its base and agree to enlargement?
▪ His partnership strengthened the Balbirnie team in shareholding terms, broadening its equity base.
▪ Another advertising agency, Future Image, has broadened the base of its activities with an extension into design and print.
▪ His best work is done far in advance, and he is intent on broadening his base.
▪ Second, that in general this means reducing the value of allowances and broadening the tax base rather than increasing marginal tax rates.
▪ It served to broaden our shareholder base significantly.
▪ Instead they are interested in building on a range of other products, thus broadening their base.
build
▪ Now we hope to build a data base to analyse why one last is more successful than another.
▪ Successful application of these strategies can, in turn, build additional power bases of reputation and professional credibility.
▪ Reformist government ministers used the press revelations to support their claims that Khasbulatov was building up a power base.
▪ Thus he failed to build a base in the bureaucracy for the policy.
▪ Nor has it made building up the industrial base an objective.
▪ There are two ways to do this -- build an asset base internally or go out and buy one.
▪ He will have to work himself into the job and build a firm political base.
▪ The second power strategies category, using social networks, builds off the power bases of political access and staff support.
cover
▪ Stacked humbuckers are one solution but Chandler's Firebird pickups cover all the bases equally well, while sounding refreshingly individual.
▪ I am fully aware that setting guidelines is a tough business and that covering all bases is impossible.
▪ Another sure way to recognize that you have covered all bases is your own sense of expertness.
▪ As with many things, - at the bottom. Cover the base of the tank with gravel.
▪ The ironwork has hearts, stars of David and crosses, covering as many bases as possible.
▪ Use to cover the base and the lid of the sarcophagus, easing into the corners and hollow.
▪ Start by covering the base of the tank as fully as possible with undergravel filter plates.
establish
▪ Your main efforts should now focus on establishing a firm home base.
▪ The offshore petroleum industry training organisation has now established a data base to provide details of the courses attended.
▪ The new data or new findings from the research should be integrated into the established theory base.
▪ Liebermann, so Vincent had heard, had once established his base there for quite a while.
lay
▪ A shift in the weather pattern, bringing low pressure systems across the Alps in December laid down a firm base.
▪ Below all these strata lay the immemorial peasant base of straight barter and the still-important tax in kind.
▪ Wreaths were laid at the base of a marble memorial.
provide
▪ The group had reached a stage which provided a sound base for selective expansion.
▪ Next wind some tape through the slots and around the core to provide a base for the pickup windings.
▪ The Children Act provides a structure for working within them; but it does not provide a base for practice.
▪ And sand will provide a stable base providing rainwater can not reach it.
▪ The scheme involves dredging the main channel of the Medway estuary to provide a storage base for import-export cargoes.
▪ Some micro-organisms began to manufacture their own nourishment and at the same time provide a food-chain base for all other emerging creatures.
▪ Jointly valued at £5m, Graseby believes they should provide a good base for improved performance in this area.
reach
▪ A col was reached at the ridge base and we ate.
▪ In a town like Manila, nobody reaches first base without connections.
▪ Both these and the other attractions can be easily reached from our bases in Kissimmee and Orlando.
▪ In the four games, Bordick went 4-for-10, reaching base four other times on walks.
▪ With his head and shoulders inside the trap, he reached to the base.
▪ Finally, after a desert journey of Lawrencian proportions - or so it seemed - we reached the base of Ingólfshöfdi.
PHRASES FROM OTHER ENTRIES
broadly-based
cover (all) the bases
▪ Stacked humbuckers are one solution but Chandler's Firebird pickups cover all the bases equally well, while sounding refreshingly individual.
get to/reach first base
▪ Compared to this little middle-aged lot, we didn't get to first base!
lay the foundations/groundwork/base
▪ Because Save the Children want to lay the foundations for a better future.
▪ He laid the foundations by cutting one percent off interest rates, scrapping special car tax, and boosting the housing industry.
▪ He said he hoped they had laid the foundations for peace - but admitted obstacles could lie ahead.
▪ One of my officials chairs the experts committee that laid the groundwork for this achievement.
▪ Progress in primary schools has laid the foundations for the drive to raise standards in secondary schools, announced last month.
▪ The defense Monday seemed to lay the groundwork for an argument about damages.
▪ Then the elite persuaded the newly elected mayor to appoint a committee to lay the groundwork for redevelopment.
▪ Will took advantage of this opportunity to lay the groundwork for his epitaph.
oil-based/carbon-based/computer-based etc
touch base (with sb)
▪ I just wanted to touch base with you.
EXAMPLES FROM OTHER ENTRIES
▪ a black vase with a round base
▪ a naval base
▪ Both French and Spanish come from a Latin base.
▪ Cuba was seen as a base for Communist activity throughout Latin America.
▪ Microsoft's base is in Redmond, Washington.
▪ Put a liquid fertilizer around the base of each plant.
▪ The base of the column was cracked.
▪ The lamp has a square base.
▪ You should paint the outside walls with an oil base.
EXAMPLES FROM CORPUS
▪ And he has emerged from the base of a bridge to warn city officials that it was about to collapse.
▪ He directs us to a good campsite a half mile down the beach at the base of a fresh-water estuary.
▪ This decision is likely to be influenced by the age and tax base cost of the company's plant.
▪ Where that popular base does not exist such laws are only imposed on the population with great difficulty, if at all.
III.adjective
PHRASES FROM OTHER ENTRIES
cover (all) the bases
▪ Stacked humbuckers are one solution but Chandler's Firebird pickups cover all the bases equally well, while sounding refreshingly individual.
get to/reach first base
▪ Compared to this little middle-aged lot, we didn't get to first base!
lay the foundations/groundwork/base
▪ Because Save the Children want to lay the foundations for a better future.
▪ He laid the foundations by cutting one percent off interest rates, scrapping special car tax, and boosting the housing industry.
▪ He said he hoped they had laid the foundations for peace - but admitted obstacles could lie ahead.
▪ One of my officials chairs the experts committee that laid the groundwork for this achievement.
▪ Progress in primary schools has laid the foundations for the drive to raise standards in secondary schools, announced last month.
▪ The defense Monday seemed to lay the groundwork for an argument about damages.
▪ Then the elite persuaded the newly elected mayor to appoint a committee to lay the groundwork for redevelopment.
▪ Will took advantage of this opportunity to lay the groundwork for his epitaph.
touch base (with sb)
▪ I just wanted to touch base with you.
EXAMPLES FROM OTHER ENTRIES
base passions
EXAMPLES FROM CORPUS
▪ A further cut in base rates to 6% is now likely to stay on ice till next year.
▪ The Bloomberg Indiana Index has risen almost 17 percent since it was started in September 1994 with a base value of 100.
Wikipedia

Base

Base or BASE may refer to:

Base (topology)

In mathematics, a base (or basis) B for a topological spaceX with topologyT is a collection of open sets in T such that every open set in T can be written as a union of elements of B. We say that the base generates the topology T. Bases are useful because many properties of topologies can be reduced to statements about a base generating that topology, and because many topologies are most easily defined in terms of a base which generates them.

Base (chemistry)

In chemistry, bases are substances that, in aqueous solution, are slippery to the touch, taste astringent, change the color of indicators (e.g., turn red litmus paper blue), react with acids to form salts, promote certain chemical reactions ( base catalysis), accept protons from any proton donor, and/or contain completely or partially displaceable OH ions. Examples of bases are the hydroxides of the alkali metals and alkaline earth metals ( NaOH, Ca(OH), etc.).

These particular substances produce hydroxide ions (OH) in aqueous solutions, and are thus classified as Arrhenius bases. For a substance to be classified as an Arrhenius base, it must produce hydroxide ions in an aqueous solution. In order to do so, Arrhenius believed the base must contain hydroxide in the formula. This makes the Arrhenius model limited, as it cannot explain the basic properties of aqueous solutions of ammonia (NH) or its organic derivatives ( amines). There are also bases that do not contain a hydroxide ion but nevertheless react with water, resulting in an increase in the concentration of the hydroxide ion. An example of this is the reaction between ammonia and water to produce ammonium and hydroxide. In this reaction ammonia is the base because it accepts a proton from the water molecule. Ammonia and other bases similar to it usually have the ability to form a bond with a proton due to the unshared pair of electrons that they possess. In the more general Brønsted–Lowry acid–base theory, a base is a substance that can accept hydrogen cations (H)—otherwise known as protons. In the Lewis model, a base is an electron pair donor.

In water, by altering the autoionization equilibrium, bases yield solutions in which the hydrogen ion activity is lower than it is in pure water, i.e., the water has a pH higher than 7.0 at standard conditions. A soluble base is called an alkali if it contains and releases OH ions quantitatively. However, it is important to realize that basicity is not the same as alkalinity. Metal oxides, hydroxides, and especially alkoxides are basic, and counteranions of weak acids are weak bases.

Bases can be thought of as the chemical opposite of acids. However, some strong acids are able to act as bases. Bases and acids are seen as opposites because the effect of an acid is to increase the hydroxonium (HO) concentration in water, whereas bases reduce this concentration. A reaction between an acid and base is called neutralization. In a neutralization reaction, an aqueous solution of a base reacts with an aqueous solution of an acid to produce a solution of water and salt in which the salt separates into its component ions. If the aqueous solution is saturated with a given salt solute, any additional such salt precipitates out of the solution.

The notion of a base as a concept in chemistry was first introduced by the French chemist Guillaume François Rouelle in 1754. He noted that acids, which at that time were mostly volatile liquids (like acetic acid), turned into solid salts only when combined with specific substances. Rouelle considered that such a substance serves as a "base" for the salt, giving the salt a "concrete or solid form".

Base (politics)

In politics, the term base refers to a group of voters who almost always support a single party's candidates for elected office. Base voters are very unlikely to vote for the candidate of an opposing party, regardless of the specific views each candidate holds. In the United States, this is typically because high-level candidates must hold the same stances on key issues as a party's base in order to gain the party's nomination and thus be guaranteed ballot access. In the case of legislative elections, base voters often prefer to support their party's candidate against an otherwise appealing opponent in order to strengthen their party's chances of gaining a simple majority, typically the gateway to overarching power, in a legislature.

Category:Political terminology

Base (mobile telephony provider)

BASE is the third largest of Belgium's three mobile telecommunications operators. It is a subsidiary of Telenet. It competes with Proximus and Orange Belgium. It was previously owned by KPN and sold to Telenet in 2015.

Base (comics)

Base (Hiro Sokuto) is a fictional character, a mutant appearing in American comic books published by Marvel Comics. His first appearance was in Genetix #1.

Base (company)

Base is an international design, communications, audiovisual, copywriting and publishing firm established in 1993. The company has studios located in New York, Brussels, Santiago and Geneva.

Base (exponentiation)

In exponentiation, the base is the number b in an expression of the form b.

Base (EP)

Base is the first EP of Korean boy band Shinee member Jonghyun, released on January 12, 2015 by S.M. Entertainment.

Base (group theory)

Let G be a finite permutation group acting on a set Ω. A sequence


B = [β, β, ..., β]

of ''k ''distinct elements of Ω is a base for G if the only element of G which fixes every β ∈ B pointwise is the identity element of G.

Bases and strong generating sets are concepts of importance in computational group theory. A base and a strong generating set (together often called a BSGS) for a group can be obtained using the Schreier–Sims algorithm.

It is often beneficial to deal with bases and strong generating sets as these may be easier to work with than the entire group. A group may have a small base compared to the set it acts on. In the "worst case", the symmetric groups and alternating groups have large bases (the symmetric group S has base size n − 1), and there are often specialized algorithms that deal with these cases.

Base (geometry)

In geometry, a base is a side of a polygon or a face of a polyhedron, particularly one oriented perpendicular to the direction in which height is measured, or on what is considered to be the "bottom" of the figure. This term is commonly applied to triangles, parallelograms, trapezoids, cylinders, cones, pyramids, parallelepipeds and frustums.

BASE (search engine)

BASE (Bielefeld Academic Search Engine) is a multi-disciplinary search engine to scholarly internet resources, created by Bielefeld University Library in Bielefeld, Germany. It is based on free and open-source software such as Apache Solr and VuFind. It harvests OAI metadata from institutional repositories and other academic digital libraries that implement the Open Archives Initiative Protocol for Metadata Harvesting (OAI-PMH), and then normalizes and indexes the data for searching. In addition to OAI metadata, the library indexes selected web sites and local data collections, all of which can be searched via a single search interface.

Users can search bibliographic metadata including abstracts, if available. However, BASE does not currently offer full text search. It contrasts with commercial search engines in multiple ways, including in the types and kinds of resources it searches and the information it offers about the results it finds. Results can be narrowed down using drill down menus ( faceted search). Bibliographic data is provided in several formats, and the results may be sorted by multiple fields, such as by author or year of publication.

On 18 May 2016, BASE had indexed 93,161,843 documents from 4,352 content sources.

WordNet

base

  1. adj. serving as or forming a base; "the painter applied a base coat followed by two finishing coats" [syn: basal]

  2. (used of metals) consisting of or alloyed with inferior metal; "base coins of aluminum"; "a base metal"

  3. of low birth or station (`base' is archaic in this sense); "baseborn wretches with dirty faces"; "of humble (or lowly) birth" [syn: baseborn, humble, lowly]

  4. not adhering to ethical or moral principles; "base and unpatriotic motives"; "a base, degrading way of life"; "cheating is dishonorable"; "they considered colonialism immoral"; "unethical practices in handling public funds" [syn: dishonorable, dishonourable, immoral, unethical]

  5. having or showing an ignoble lack of honor or morality; "that liberal obedience without which your army would be a base rabble"- Edmund Burke; "taking a mean advantage"; "chok'd with ambition of the meaner sort"- Shakespeare; "something essentially vulgar and meanspirited in politics" [syn: mean, meanspirited]

  6. illegitimate [syn: baseborn]

  7. debased; not genuine; "an attempt to eliminate the base coinage"

  8. [also: bases (pl)]

base

  1. n. any of various water-soluble compounds capable of turning litmus blue and reacting with an acid to form a salt and water; "bases include oxides and hydroxides of metals and ammonia" [syn: alkali]

  2. installation from which a military force initiates operations; "the attack wiped out our forward bases" [syn: base of operations]

  3. lowest support of a structure; "it was built on a base of solid rock"; "he stood at the foot of the tower" [syn: foundation, fundament, foot, groundwork, substructure, understructure]

  4. place that runner must touch before scoring; "he scrambled to get back to the bag" [syn: bag]

  5. (numeration system) the positive integer that is equivalent to one in the next higher counting place; "10 is the radix of the decimal system" [syn: radix]

  6. the bottom or lowest part; "the base of the mountain"

  7. (anatomy) the part of an organ nearest its point of attachment; "the base of the skull"

  8. a lower limit; "the government established a wage floor" [syn: floor]

  9. the fundamental assumptions from which something is begun or developed or calculated or explained; "the whole argument rested on a basis of conjecture" [syn: basis, foundation, fundament, groundwork, cornerstone]

  10. a support or foundation; "the base of the lamp" [syn: pedestal, stand]

  11. the bottom side of a geometric figure from which the altitude can be constructed; "the base of the triangle"

  12. the most important or necessary part of something; "the basis of this drink is orange juice" [syn: basis]

  13. the place where you are stationed and from which missions start and end [syn: home]

  14. an intensely anti-western terrorist network that dispenses money and logistical support and training to a wide variety of radical Islamic terrorist group; has cells in more than 50 countries [syn: al-Qaeda, Qaeda, al-Qa'ida, al-Qaida]

  15. (linguistics) the form of a word after all affixes are removed; "thematic vowels are part of the stem" [syn: root, root word, stem, theme, radical]

  16. the stock of basic facilities and capital equipment needed for the functioning of a country or area; "the industrial base of Japan" [syn: infrastructure]

  17. the principal ingredient of a mixture; "glycerinated gelatin is used as a base for many ointments"; "he told the painter that he wanted a yellow base with just a hint of green"; "everything she cooked seemed to have rice as the base"

  18. a flat bottom on which something is intended to sit; "a tub should sit on its own base"

  19. (electronics) the part of a transistor that separates the emitter from the collector

  20. [also: bases (pl)]

base

  1. v. use as a basis for; found on; "base a claim on some observation" [syn: establish, ground, found]

  2. use (purified cocaine) by burning it and inhaling the fumes [syn: free-base]

  3. assign to a station [syn: station, post, send, place]

  4. [also: bases (pl)]

Wiktionary

base

acr. '''''B'''uilding'', '''''A'''ntenna-tower'', '''''S'''pan'', '''''E'''arth'' alt. '''''B'''uilding'', '''''A'''ntenna-tower'', '''''S'''pan'', '''''E'''arth''

Douglas Harper's Etymology Dictionary

base

"bottom, foundation, pedestal," early 14c., from Old French bas "depth" (12c.), from Latin basis "foundation," from Greek basis "step, pedestal," from bainein "to step" (see come). The military sense is from 1860. The chemical sense (1810) was introduced in French 1754 by French chemist Guillaume-François Rouelle (1703-1770). Sporting sense of "starting point" ia from 1690s, also "destination of a runner" (1812). As a "safe" spot in a tag-like game, suggested from mid-15c. (as the name of the game later called prisoner's base).

base

late 14c., "low, of little height," from Old French bas "low, lowly, mean," from Late Latin bassus "thick, stumpy, low" (used only as a cognomen in classical Latin, humilis being there the usual word for "low in stature or position"), possibly from Oscan, or Celtic, or related to Greek basson, comparative of bathys "deep." Figurative sense of "low in the moral scale" is first attested 1530s in English, earlier "servile" (1520s). Base metals (c.1600) were worthless in contrast to noble or precious metals.

base

"to place on a foundation," 1841, from base (n.). Related: Based; basing.

The Collaborative International Dictionary

base

Bass \Bass\ (b[=a]s), n. [F. basse, fr. bas low. See Base, a.]

  1. A bass, or deep, sound or tone.

  2. (Mus.)

    1. The lowest part in a musical composition.

    2. One who sings, or the instrument which plays, bass.

      Thorough bass. See Thorough bass.

Gazetteer

Usage examples of "base".

Not only was it exceptionally lofty, and on one flank of that series of bluffs which has before been mentioned as constituting the line upon which the Confederate grip of the stream was based, but the tortuous character of the channel gave particular facilities for an enfilading fire on vessels both before and after they came abreast the works.

Matter, then, thus brought to order must lose its own nature in the supreme degree unless its baseness is an accidental: if it is base in the sense of being baseness the Absolute, it could never participate in order, and, if evil in the sense of being Evil the Absolute, it could never participate in good.

From their bases first at Turin, and then at Coblenz, they were accused of planning invasions of France on the heels of absolutist armies that would put good patriots and their women and children to the sword and raze their cities.

Particle accelerators are based on the same principle: They hurl bits of matter such as electrons and protons at each other as well as at other targets, and elaborate detectors analyze the resulting spray of debris to determine the architecture of the objects involved.

Also, their Trident base in the state of Washington was included almost fifty percent more as an information addressee than in the preceding six months.

The limited informational content of DNAthe four bases adenine, guanine, cytosine, and thyminedid not seem adequate to build the fantastically varied amino acid necklaces.

She had used the base pairs of the DNA---combinations of pairs of four nucleotides called adenine, guanine, cytosine, and thy mine--to encode her message.

When that has been done, the burden rests on the regulated company to show that this item has neither been adequately covered in the rate base nor recouped from prior earnings of the business.

Further, admitting that there is an Intelligible Realm beyond, of which this world is an image, then, since this world-compound is based on Matter, there must be Matter there also.

Abu Obeidah admonished his brethren not to despise the baser origin of Dames, since he himself, could he relinquish the public care, would cheerfully serve under the banner of the slave.

Your choice to advertise on radio should be based upon the demographics of the station and the cost of drive-time commercials.

You may choose to advertise on certain cable companies based upon the demographics of their communities.

Most business owners -do not really understand that yellow page advertising is based upon the identical principles that apply to all creative messa i .

Argentine Base, Deception Island, disclosed that, on July 3, 16 persons including three Chilean sub officers had observed an aerial object over the northern area of the island moving in a north-northeast direction, varying speed, oscillatory course, changing yellow-green-orange color, leaving a contrail at 30 degrees elevation.

Still on the same day, at the Argentine base at Orkney Island, two meteorological observers sighted an aerial object flying at high speed on a parabolic trajectory, course E-W, white luminosity, causing disturbance in the magnetic field registered on geomagnetic instruments with patterns notably out of the normal.