- #1

- 273

- 0

|DF_x|

= sup |DF_x (U)|, where U is in R^n and F: R^n -> R^n and the |U| = 1 is under the sup.

...|U| = 1

DF_x (U) is the directional derivative of F in the direction of U. But I don't understand what this definition means?

Thanks

- Thread starter Buri
- Start date

- #1

- 273

- 0

|DF_x|

= sup |DF_x (U)|, where U is in R^n and F: R^n -> R^n and the |U| = 1 is under the sup.

...|U| = 1

DF_x (U) is the directional derivative of F in the direction of U. But I don't understand what this definition means?

Thanks

- #2

Mark44

Mentor

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- 5,432

The supremum is taken over all unit vectors U.

- #3

- 273

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Ahh I see, thanks!

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