## You are here

Homesome issues remain

## Primary tabs

# some issues remain

1) The definition is still problematic. The problem is

that you first fix S to be one particular surface,

and then you take limits over it.

The right way to write this would be

(curl F)(p) = lim_{V->0} .... ,

where V is the volume of a closed surface S enclosing the

point p.

2) Just a few extra words about the scale factors will go a long

way to help the reader (saving them clicking effort, and adding

very little text) Something like

where h_i = d/dxi * d/dxi, i=1,2,3 are the coordinate system

scale factors.

3) The sentence

It should be clear from the above discussion that

curl itself is a vector field.

is poor writing style. You are the one giving the definition,

and it isn't fair to ask the poor readers to guess what it is

you are trying to define. Also, you are still not upfront

about your hypotheses.

Suggestion: right of the bat say:

Let V be a vector field in 3-dimensional Euclidean space.

The curl of V, written curl(V), is another vector field

defined by ....

something like that

**Status:**Accepted

- Forums
- Planetary Bugs
- HS/Secondary
- University/Tertiary
- Graduate/Advanced
- Industry/Practice
- Research Topics
- LaTeX help
- Math Comptetitions
- Math History
- Math Humor
- PlanetMath Comments
- PlanetMath System Updates and News
- PlanetMath help
- PlanetMath.ORG
- Strategic Communications Development
- The Math Pub
- Testing messages (ignore)

- Other useful stuff
- Corrections