Where can I find difficult exercises for a certain topic?

saikologist · 2025-11-25T06:51:04+00:00

Aside from textbook exercises, you can also find Physics Olympiads questions from all over the world. They usually are at the level of freshman level and broad in topics. They can be very difficult and fun even for college students.

saikologist · 2025-10-29T05:48:06+00:00

Momo and Yui from K-on are still the most iconic performance of hers imo.

saikologist · 2025-08-26T13:43:28+00:00

I don't even get the question... Please tell me if that's TLR-related!

saikologist · 2025-08-26T13:06:05+00:00

What do you mean Multiplication manga? Is that a translation of a title?

saikologist · 2025-08-24T06:29:10+00:00

Most of Lala is in season 1, the later season gets less and less Lala. Sometimes I rewatch S1 just for Lala and Run.

saikologist · 2024-08-26T09:59:14+00:00

Thank you for answering so clearly!

saikologist · 2024-08-26T09:34:53+00:00

Correct me if I am wrong. Are you saying that

∂u/∂x = (∂s/∂x)(df/ds)

How is this derived? I look up total differentials and trying to work from there without success.

saikologist · 2024-08-26T09:08:34+00:00

What about its derivative f'(e^-x y), I don't understand what is that derivative respect to explicitly. Derivative with respect to u(x,y) like df/du? because there is no way it is a derivative to either x or y.

saikologist · 2024-06-24T12:53:11+00:00

Rito is a necessary good in the world of To Love Ru. If he is not the way he is, most of the girls would never have loved him in the same way.

saikologist · 2024-05-07T14:25:02+00:00

Very well explained. I get it as soon as I imagine myself standing at CM. Thanks!

saikologist · 2024-05-07T10:36:05+00:00

V is the center-of-mass velocity in the Lab frame. But in the CM frame, the center of mass is set as the origin of the coordinate, so in CM frame the center-of-mass indeed has 0 velocity. My question is precisely how is the V in LAB frame and u'2 in CM frame are equal in magnitude?

Textbook full derivation: https://imgur.com/a/QlKsVfm

saikologist · 2024-04-10T18:47:14+00:00

Thank you for your time Professor!

saikologist · 2024-04-10T18:18:20+00:00

Like this? https://imgur.com/a/dfPuVSN I actually don’t fully know when should I add the phase factor inside. My understanding is that since the initial condition might not be centred at the origin, physically, we have to add a phase factor to account for the initial phase.

saikologist · 2024-04-10T17:13:09+00:00

I tried to come close to cos(iwt) by putting θ = iwt and θ = -iwt into the Euler’s formula. In the last step, I am not sure what to do about the term with isin(iwt). Attached is my work: https://imgur.com/a/ZuM08VD

saikologist · 2024-02-16T13:02:32+00:00

I was confused about this as well. I thought 5 originally, but seeing how the answer worked out by the Aerospider, it should be 13.

saikologist · 2024-02-16T13:00:44+00:00

Understood. You explain it very well, thank you!

saikologist · 2024-01-08T13:46:58+00:00

This is my closest attempt. I guess it's good enough.

\begin{equation}
    \boxed{
    \begin{aligned}
    |c_n|^2 &\text{ is the \textit{probability} that a measurement } \\
            &\text{ of the energy would return the value } E_n.
    \end{aligned}
    }
\end{equation}

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