Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Is it possible to write the following equation in an even simpler form? (In other words does this have any specific implications on the form $\vec f(\vec x)$ can take?) $${\partial f_j(\vec x)\over \partial x_i}={\partial f_i(\vec x)\over \partial x_j}$$ where $x_k$ are components of $\vec x$ and $f_k(\vec x)$ are the components of $\vec f(\vec x)$.

share|cite|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.