What does the symbol nabla indicate? - Mathematics Stack …
Mar 27, 2018 · The temperature is a scalar field: it is a scalar value that varies depending on the position in your room. Apply the $∇$ operator and for every position in your room, you will …
what does ∇ (upside down triangle) symbol mean in this problem
what does ∇ (upside down triangle) symbol mean in this problem Ask Question Asked 15 years, 2 months ago Modified 4 years, 6 months ago
what does $ (A\cdot\nabla)B$ mean? - Mathematics Stack Exchange
You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation and how do I …
multivariable calculus - Proof for the curl of a curl of a vector field ...
Jan 18, 2015 · EDIT: I got very good answers, from various perspectives. I would say @Spencer's derivation is the one I was looking for, using Einstein notation - and as a physics student, this …
Show that ∇· (∇ x F) = 0 for any vector field [duplicate]
Show that ∇· (∇ x F) = 0 for any vector field [duplicate] Ask Question Asked 9 years, 6 months ago Modified 9 years, 6 months ago
How do we pronounce this symbol: $\\nabla \\phi$
May 12, 2014 · I would like to know how to pronounce in English this symbol: $\\nabla \\phi$. It is something phi ... ?
Gradient of a dot product - Mathematics Stack Exchange
Sep 17, 2013 · The second equation presented by you, [Math Processing Error] \boldsymbol ∇ (\boldsymbol a \boldsymbol b) = (\boldsymbol ∇ \boldsymbol a) \boldsymbol b + (\boldsymbol …
Proving a vector identity ∇ · (A × B) - Mathematics Stack Exchange
Oct 15, 2016 · In writing this in future, for the penultimate line that you wrote that is equivalent to: B⋅ (∇×A)−A⋅ (∇×B). Writing it in terms of the cartesian coordinates, is also a great way to …
multivariable calculus - Prove that the gradient of a unit vector ...
This problem can be worked entirely without breaking into coordinates. First, $\nabla \cdot \vec r = 3$. This is a general and useful identity: that the divergence of the position vector is just the …
Using index notation to prove vector identities
Jan 25, 2024 · 0 Problem 3 Using indicial notation (and without using any vector identities), show that ∇× (𝑢⃗ ×𝑣 )= (∇.𝑣 )𝑢⃗ − (∇.𝑢⃗ )𝑣 + (∇𝑢⃗ )𝑣 − (∇𝑣 )𝑢⃗ where 𝑢⃗ 𝑎𝑛𝑑 𝑣 are vectors.