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Complex number
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===Dynamic equations=== In [[differential equation]]s, it is common to first find all complex roots {{mvar|r}} of the [[Linear differential equation#Homogeneous equation with constant coefficients|characteristic equation]] of a [[linear differential equation]] or equation system and then attempt to solve the system in terms of base functions of the form {{math|1=''f''(''t'') = ''e''<sup>''rt''</sup>}}. Likewise, in [[difference equations]], the complex roots {{mvar|r}} of the characteristic equation of the difference equation system are used, to attempt to solve the system in terms of base functions of the form {{math|1=''f''(''t'') = ''r''<sup>''t''</sup>}}.
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