# basis

[ bey-sis ]

/ ˈbeɪ sɪs /

### noun, plural ba·ses [bey-seez] /ˈbeɪ siz/.

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 for basis

1, 2. See base

^{1}.## Words nearby basis

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020

## Example sentences from the Web for basis

## British Dictionary definitions for basis

basis

/ (ˈbeɪsɪs) /

### noun plural -ses (-siːz)

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

## Word Origin for basis

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

## Medical definitions for basis

basis

[ bā′sĭs ]

### n. pl. ba•ses (-sēz′)

The foundation upon which something, such as an anatomical part, rests.

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

## Scientific definitions for basis

basis

[ bā′sĭs ]

### Plural bases (bā′sēz′)

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

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

## Idioms and Phrases with basis

basis

see on a first-name basis.

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