noun

definition

A physical base or foundation.

definition

A starting point, base or foundation for an argument or hypothesis.

definition

An underlying condition or circumstance.

definition

A regular frequency.

example

Cars must be checked on a yearly basis.

definition

In a vector space, a linearly independent set of vectors spanning the whole vector space.

definition

Amount paid for an investment, including commissions and other expenses.

definition

A collection of subsets ("basis elements") of a set, such that this collection covers the set, and for any two basis elements which both contain an element of the set, there is a third basis element contained in the intersection of the first two, which also contains that element.

example

The collection of all possible unions of basis elements of a basis is said to be the topology generated by that basis.

Examples of basis in a Sentence

So you're on a first name basis with him, huh?

It wasn't as if there was any basis for the feeling.

I remembered a judge had tossed out a search warrant obtained only on the basis of our tip.

In 1840 we have the first safe basis for comparison of strength.

No doubt because she didn't have to do it on a regular basis as Alex did.

What if you could do agriculture perfectly on a per-grape basis, each grape getting individual attention?

The following tables, showing the growth of the largest towns in France, are drawn up on the basis of the fourth classification, which is used throughout this work in the articles on French towns, except where otherwise stated.

Even the Chinese philosopher was wise enough to regard the individual as the basis of the empire.

This is the basis of real intercourse.

With calm courage he returned to his poverty and his favourite studies, and in 1725 published the first edition of the work that forms the basis of his renown, Principii d'una scienza nuova.

Now, on a regular basis, videos appear which bring to life something that would otherwise be merely an ill-formed image in our minds.

They have made this observation the basis of a practical method of separating helium from the other inert gases.

Department personnel operated on the basis of out-of-sight, out-of-mind.

Fred suggested that one of the letters might be in error so the group continued to look at the puzzle on the basis Cynthia had first suggested.

In July 1865, when politics had shifted from the basis of the 1861 Constitution, he laid down office, and retired from public affairs.

My benefactor then explained to me fully the meaning of the Great Square of creation and pointed out to me that the numbers three and seven are the basis of everything.

At the basis of the works of all the modern historians from Gibbon to Buckle, despite their seeming disagreements and the apparent novelty of their outlooks, lie those two old, unavoidable assumptions.

Still, a case that spawned a novel basis for argument was always a welcomed diversion from their increasing caseload.

She faced death on a daily basis.

That Douglas undertook this work and that he makes a plea for more accurate scholarship in the translation have been the basis of a prevalent notion that he is a Humanist in spirit and the first exponent of Renaissance doctrine in Scottish literature.

The commune forms the basis of the native social system.

To these lists should be added a paper on the mathematical basis of logic, published in the Mechanic's Magazine for 1848.

In areas of uncertainty, we form our opinions on the basis of assumptions in other parts of our life.

She wouldn't normally have rented on that basis but he sent her three months payment, in cash, and she left a key in an agreed location.

The local FBI had stepped into the picture and hustled action on the body, tentatively identified as Billie Wassermann—perhaps on an alphabetical basis only.

He also contributed largely to the Internationale theologische Zeitschrift, a review started in 1893 by the Old Catholics to promote the union of National Churches on the basis of the councils of the Undivided Church, and admitting articles in German, French and English.

In 1307 the city became a lordship for Giberto da Correggio, who laid the basis of its territorial power by conquering Reggio, Brescello and Gaustalla, and was made commander-in-chief of the Guelphs by Robert of Apulia.

But among the Greeks themselves the two works of Pheidias which far outshone all others, and were the basis of his fame, were the colossal figures in gold and ivory of Zeus at Olympia and of Athena Parthenos at Athens, both of which belong to about the middle of the 5th century.

It was the basis for the movie War Games in which the military's computer finally figures out it can't win in a nuclear launch scenario and says of such a war, Strange game.

The camp ground was manned on a volunteer basis.

It couldn't have been better, but entertaining three men on a daily basis was a mental workout.

In addition to the encyclical letter, nineteen resolutions were put forth, and the reports of twelve special committees are appended upon which they are based, the subjects being intemperance, purity, divorce, polygamy, observance of Sunday, socialism, care of emigrants, mutual relations of dioceses of the Anglican Communion, home reunion, Scandinavian Church, Old Catholics, &c., Eastern Churches, standards of doctrine and worship. Perhaps the most important of these is the famous "Lambeth Quadrilateral," which laid down a fourfold basis for home reunion - the Holy Scriptures, the Apostles' and Nicene creeds, the two sacraments ordained by Christ himself and the historic episcopate.

The normal schools, maintained by the state on a secular basis, were founded by President Sarmiento, who engaged experienced teachers in the United States to direct them; their work is excellent; notably, their model primary schools.

Secondly, the histology of fossil plants, particularly woody plants of the carboniferous period, has been placed on a sound basis, assimilated with general histological doctrine, and has considerably enlarged our conceptions of plant anatomy as a whole, though again.

Surely she couldn't be expected to commute that kind of distance on a regular basis.

Howie called in from California on a daily basis.

While she never complained, it was clear she needed Damian to visit again soon and heal the damage his brother did to her on a daily basis.

The roadway was gravel, but well maintained on a year-round basis.

It served an occasional thrifty traveler but mostly catered to salesmen, many on a repeat basis.

There were ten cities serviced by Byrne, all on the eastern seaboard, and his itineraries were detailed on practically an hour­ by-hour basis.

There are 2,000 cyclists who get to ride on a first-come, first-served basis.

Would you mind if I volunteered – on a regular basis?

Tonight she was having fun, but it wasn't something she would enjoy doing on a regular basis.

His pecuniary bargains with Shuja-ud-Dowlah, the nawab wazir of Oudh, stand on a different basis.

The government monopolies of opium and salt were then for the first time placed upon a remunerative basis.

The farming industry is not, however, on a satisfactory basis.

In 1585 Lord Deputy Sir John Perrot undertook the shiring of Ulster (excluding the counties Antrim and Down, which had already taken shape); and his work, though of little immediate effect owing to the rising of Hugh O'Neill, served as a basis for the division of the territory at the plantation of Ulster in the reign of James I.

It is to the collections formed by these baru-priests as a guidance for themselves and as a basis of instruction for those in training for the priesthood that we owe our knowledge of the parts of the liver to which particular attention was directed, of the signs noted, and of the principles guiding the interpretation of the signs.

We are justified in concluding, therefore, that among the Greeks and Romans likewise the examination of the liver was the basis of divination in the case of the sacrificial animal.

It is well known that the Romans borrowed their methods of hepatoscopy from the Etruscans, and, apart from the direct evidence for this in Latin writings, we have, in the case of the bronze model of a liver found near Piacenza in 1877, and of Etruscan origin, the unmistakable proof that among the Etruscans the examination of the liver was the basis of animal divination.

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