Take the 2-minute tour ×
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.

I know from definition that if some vector function $\mathbf{u}$ is given in three dimensional space, then curl is defined by this

$$\operatorname{curl}\mathbf{u}=\nabla\times \mathbf{u}=\left|\begin{matrix}\mathbf{i} & \mathbf{j} & \mathbf{k}\\ D_x & D_y & D_z\\ u_x & u_y & u_z\end{matrix}\right|$$

but unfortunately I forgot what represents subscript $D_x$. Is it the same as $u_x$? Because last one represents partial derivative and first one what is it?

Please help me.

share|improve this question
add comment

1 Answer 1

up vote 2 down vote accepted

$D_x=\frac{\partial}{\partial x}$ and similarly for $D_y$ and $D_z$. $u_x$ is the component of $u$ along $x$ and similarly for $u_y$ and $u_z$.

share|improve this answer
add comment

Your Answer

 
discard

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

Not the answer you're looking for? Browse other questions tagged or ask your own question.