the underlying support, reason, or foundation for an idea, argument, plan, or process
Her accusation had no real basis and was dismissed.
Trust forms the basis of any strong friendship.
✦ Late 16th century: from Latin, from Greek “basis” meaning ‘step, foundation’.
a particular interval, pattern, or system used to describe how often or in what way something happens
The bus runs on an hourly basis.
They meet on a weekly basis to discuss progress.
Mathematics: a set of independent vectors that can be combined to produce every vector in a particular vector space
In three-dimensional space, the vectors i, j, and k form a standard basis.
Changing the basis can simplify the matrix representation of a transformation.
Finance: the original cost or value of an asset used to calculate profit or loss when it is sold
Subtract the property's basis from the selling price to find the gain.
Improvements can increase the basis of an asset for tax purposes.
