Editing Linear interpolation (section)

==Interpolation of a data set==
[[Image:Interpolation example linear.svg|thumb|right|300px|Linear interpolation on a data set (red points) consists of pieces of linear interpolants (blue lines).]] 
Linear interpolation on a set of data points {{math|(''x''<sub>0</sub>, ''y''<sub>0</sub>), (''x''<sub>1</sub>, ''y''<sub>1</sub>), ..., (''x''<sub>n</sub>, ''y''<sub>n</sub>)}} is defined as [[piecewise linear curve|piecewise linear]], resulting from the concatenation of [[linear segment]] interpolants between each pair of data points. This results in a [[Continuous function|continuous curve]], with a discontinuous derivative (in general), thus of [[differentiability class]] {{nowrap|<math>C^0</math>.}}