Difference between revisions of "Linear"
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| − | A function <math>f</math> is linear | + | A function <math>f</math> is linear if <math>f(x) - f(y)</math> depends only on <math>x - y</math>. The notion of linearity, although normally defined in spaces like <math>\mathbf{R}</math>, can be extended to arbitrary [[vector space|vector spaces]]. |
== Examples of linear functions == | == Examples of linear functions == | ||
Latest revision as of 23:11, 22 April 2024
A function 
is linear if 
depends only on 
. The notion of linearity, although normally defined in spaces like 
, can be extended to arbitrary vector spaces.
Examples of linear functions
See also
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