function f:R->R can be written as a sum f=f1+f2 where f1 is even and f2 is odd。then if f is continuous then f1 and f2 may be chosen continuous, and if f is differentiable then f1 and f2 can be chosen differentiable(adsbygoogle = window.adsbygoogle || []).push({});

i am quiet confusing this statement , if f1 is continuous f2 is not how their sum to be continuous and differentiable as well. but i am sure this statement is true. can someone explain to me ???

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Continuous and differentiable function

Loading...

Similar Threads for Continuous differentiable function |
---|

B When do we use which notation for Delta and Differentiation? |

I Video (analytic continuation) seems to mix 4-D & 2-D maps |

B Product rule OR Partial differentiation |

A Differential operator, inverse thereof |

A Continuous mass distribution |

**Physics Forums | Science Articles, Homework Help, Discussion**