Hi there. I've recently come across the Implicit Mapping Theorm in my studies and noticed that there is a condition that the rank of the image must be the maximum possible. I'm not directly seeing why this condition is needed, so I was wondering if anyone could provide me with an example of why this condition cannot be dropped. Thanks(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums - The Fusion of Science and Community**

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!

# Rank condition in the Implicit Mapping Theorm

Loading...

Similar Threads for Rank condition Implicit | Date |
---|---|

A Hyperhermitian condition | May 7, 2016 |

Is my understanding of the second-rank four-tensor correct? | Jan 28, 2016 |

Is the inner product of two rank n tensors a scalar? | Aug 2, 2014 |

Proof? Kronecker delta is the only isotropic second rank tensor | Jul 29, 2014 |

Constant Rank Theorem Intuition | Mar 9, 2014 |

**Physics Forums - The Fusion of Science and Community**