definitions

# basis

[bey-sis]

### 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.

## Origin of basis

1525–35; < Latin < Greek básis step, place one stands on, pedestal, equivalent to ba-, base of baínein to walk, step (akin to come) + -sis -sis; cf. base1

## Synonym study

1, 2. See base1.

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

## Examples from the Web for basis

British Dictionary definitions for basis

## basis

### 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

Word Origin and History for basis

## 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.

Online Etymology Dictionary, © 2010 Douglas Harper

Medicine definitions for basis

## basis

[bāsĭs]

### n. pl. ba•ses (-sēz′)

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

Science definitions for basis

## basis

[bāsĭs]

### 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.