I'm still an undergraduate but I was wondering about the future and all that.
I do like love physics as a whole, but I don't think there is a subfield which I REALLY like or REALLY dislike. I also like "versatility" as a way of life.
So I was wondering: "can I move to and from subfields as I...
You're right. I was a bit in doubt about this to tell you the truth.
But either way, the point is, I can't use Cauchy's theorem.
Ah, yes, I've heard about. Although I haven't studied it yet so...
Guess I'll be revisiting this problem later
Homework Statement
So, as far as I understand, there is not much difference between integrals in complex variables and those pesky line integrals from vector calculus. I'm not particullary good with line integrals, so it follows that I'm not quite understanding the complex variables ones...
I must become good at this ASAP.
Homework Statement
prove \vec{\nabla}\cdot (\vec{a}\times\vec{b} ) = \vec{b} \cdot(\vec\nabla\times\vec{a}) - \vec{a}\cdot(\vec\nabla\times\vec{b})
Homework Equations
\vec a \times \vec b = \epsilon_{ijk}\vec a_j \vec b_k
\vec\nabla\cdot =...
I'm not sure whether this should go in this forum or another. feel free to move it if needed
Homework Statement
Suppose that z_0 \in \mathbb{C}. A polynomial P(z) is said to be dvisible by z-z_0 if there is another polynomial Q(z) such that P(z)=(z-z_0)Q(z).
Show that for...
help understanding "proof" involving Maxwell equation
I'm currently taking a course on mathematical methods for physics.
(Like always I'm a bit confused about where exactly I should post these questions, should it go to the homework forum? )
anyway as I was reading the lecture notes I...
hmm let's see:
\int_{0}^{t} \frac{\epsilon}{R}e^{\frac{t}{RC}}dt = qe^{\frac{t}{RC}
solving the left hand side by substitution gives:
C\epsilon\left(e^{\frac{t}{RC} -1 \right) = qe^{\frac{t}{RC}
and so:
q(t)= e^{\frac{-t}{RC}C\epsilon\left(e^{\frac{t}{RC} -1 \right)
q(t)=...
Homework Statement
A resistor with resistance R and a capacitor with capacitance C are connected in series to a direct current battery ε.
find the current and charge on the circuit as function of time.
it looks more like a review of differential equations, so I'm not really sure if I...
Homework Statement
Let a,b be elements of a group G. Show that the equation ax=b has unique solution.
Homework Equations
none really
The Attempt at a Solution
ax = b . Multiply both sides by a^{-1}. (left multiplication). a is guaranteed to have an inverse since it is an element of a...
Have you heard about exposure therapy?
For example, for people with arachnophobia they first show videos of spiders, then progress to watching spiders in a glass from far away. Then closer, then even closer. Eventually they may even catch the spider on hand as if never had the phobia in the...