Definition:Differential Form
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This article, or a section of it, needs explaining, namely:
What has this to do with differentials? In other words: can the language of this be tightened up?
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by explaining it. To discuss this point in more detail, feel free to use the talk page.
Definition
Let $X$ be a smooth manifold.
A p-form on $X$ is a function $\omega: T_x \left({X}\right)^p \to \R$ defined at each point of $X$ which takes $p$ vectors as inputs, and outputs a real number.
Here $T_x \left({X}\right)$ is the tangent space of $X$.
What has this to do with differentials? In other words: can the language of this be tightened up?
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by explaining it. To discuss this point in more detail, feel free to use the talk page.
If you are able to explain it, then when you have done so you can remove this instance of {{Explain}} from the code.
