Recent content by a-lbi

According to Spanier's book. Graded group is simply a sequence of abelian groups \{C_q\} indexed by integers. Homomorphism of degree d is abelian groups homomorphism C_q \rightarrow C_{q+d}. Of course composition of homomorphisms with degrees d1 and d2 is homomorphism of degree d1+d2.

Yeah right :P And you will have capacitance between windings, magnetisation current, and nonlinearities due to core permability change.

E_p=\frac{1}{2}mgL\theta^2 = \frac{1}{2}mg \frac{1}{L} L^2 \theta^2 = \frac{1}{2}m \frac{g}{L} s^2 = \frac{1}{2} m \omega^2 s^2 Because \omega = \sqrt{\frac{g}{L}}

Your equation is wrong. In infinity the current is not 0. You must notice, that in infinity the voltage on inductor is 0. Hence you can calculate the current in infinity. Than you should 'construct' right equation for the current and solve the problem (of course you can solve some...

The power that goes through transformer depends on the loading! For instance if you plug your mobile phone supply to the power socket and not plug the mobile phone to it the power that goes through transformer is nearly 0! And then if you connect your mobile phone to it the charging power...

If I were you I would use superposition principle. Calculate the current from each source separetly (the other one is shorted) and then simply add the currents.

So the capacitor equation is: C \frac{du(t)}{dt} = i(t) where u - voltage, i - current, C capacitance And for inductor: L \frac{di(t)}{dt} = u(t) L - inductance The energy transferred from capacitor to the circuit is given by: W_C = - \int_{t_1}^{t_2} u(t)i(t)dt = C...

Thank you for your response. I can see that the problem is to get Airy equation from the two dimensional Fourier integral equation. If I have some time I will try to follow the way.

Thank you for your response. I've read this article. But there are no answers for my question. Writing more precisly. I would like to see derivation from (for instance) wave equation to get Airy equation in a light diffraction problem.

What describes Airy equation in theoretical description of light diffraction?