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# a number of issues

1) give the hypotheses. What is the space in which F lives. R^3? 3-d Euclidean

space? Mention that curl turns a vector field into a vector

field.

2) Do not capitalize the entry title. This has to do

w/ encyclopedia organization and autolinking. See users

guide for details.

3) In your formula you do not say what S is. Do not

use unintroduced symbols.

4) Suggestion: give the definition relative to an ortho coord

system; remark that the formula is covariant w.r.t. choice

of coordinate system; give the coord-free definition.

5) The sentence

"Curl is easily computed in an arbitrary

orthogonal coordinate system by using the appropriate scale factors."

is not helpful. Either provide the details, or drop it.

6) The sentence "Physically, the curl gives the tendency of the vector field to

curl about a point."

Again, either elaborate or drop it. As it stands such a

description only mystifies the reader. You are using the word

"curl" to illuminate a concept called "curl". You are not

adding anything useful here. A different choice of words

may convey more useful information. Try invoking an image

of a little ball, whose center is fixed but that is otherwise

free to rotate. As V flows past such a little ball, it

imparts angular momentum to it. This angular momentum vector

is curl(F).

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