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The term is not very clear, as it could either mean:
  • a real number function whose graph is a line, i.e.:
    or for higher dimensions, a hyperplane:
  • a linear map. Note that the above linear functions are not linear maps unless (known as the homogeneous case), because e.g.:
    but
    For this reason, it is better never to refer to linear maps as linear functions.
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Ancestors