# basis

[bey-sis]

- the bottom or base of anything; the part on which something stands or rests.
- anything upon which something is based; fundamental principle; groundwork.
- the principal constituent; fundamental ingredient.
- a basic fact, amount, standard, etc., used in making computations, reaching conclusions, or the like: The nurse is paid on an hourly basis. He was chosen on the basis of his college grades.
- Mathematics. a set of linearly independent elements of a given vector space having the property that every element of the space can be written as a linear combination of the elements of the set.

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## Origin of basis^{}

## Synonym study

1, 2. See base

^{1}.Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## basis

- something that underlies, supports, or is essential to something else, esp an abstract idea
- a principle on which something depends or from which something has issued
- maths (of a vector space) a maximal set of linearly independent vectors, in terms of which all the elements of the space are uniquely expressible, and the number of which is the dimension of the spacethe vectors x, y and z form a basis of the 3-dimensional space all members of which can be written as a x + b y + c z

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## Word Origin

C14: via Latin from Greek: step, from bainein to step, go

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Word Origin and History for basis's

## basis

### n.

1570s, "bottom or foundation (of something material)," from Latin basis "foundation," from Greek basis "a step, stand, base, that whereon one stands," from bainein "go, step" (see come). Transferred and figurative senses (of immaterial things) are from c.1600.

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Online Etymology Dictionary, © 2010 Douglas Harper

## basis

(bā′sĭs)- The foundation upon which something, such as an anatomical part, rests.

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The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.

## basis

[bā′sĭs]

- A set of independent vectors whose linear combinations define a vector space, such as a reference frame used to establish a coordinate system.

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The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## Idioms and Phrases with basis's

## basis

see on a first-name basis.

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The American Heritage® Idioms Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.