It is fascinating that Albert Michelson (who accurately measured the speed of light in 1887) invented such an intricate device to perform Fourier analysis. Only a handful of the Harmonic Analyzer were ever fabricated and sold between 1900 to 1910. Check out this four-part series of videos:

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TopNewestI just watched the intro, will watch the rest.

But, I don't know what a Harmonic Analyzer is and also don't know about Fourier Analysis.

Still will try to get the general outline ;) – Soumo Mukherjee · 2 years, 6 months ago

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Even if you don't investigate Michelson's Harmonic Analyzer, it's worth it to have a look at "Fourier Analysis and Transform"---if you expect to be informed about mathematics. Don't miss it. – Michael Mendrin · 2 years, 6 months ago

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I can relate some stuffs like 'interference of waves' and 'waveform', etc. from high school physics.

Thanks @Michael Mendrin . Now, Michelson's Harmonic Analyzer makes a bit more sense than before to me. As for Fourier Analysis should I understand it thoroughly? like I must-be-able-to-apply-them type?

Would you mind if I just asked something more, which may be I shouldn't. So I am attempting your this problem. After reading it at the first time. I was like in the equation \({ y }^{ 2 }=4ax\) where do we have 5 parameter? and the question has 5 conditions(the five points). I knew I was missing something. I wrote the problem in my notebook and went to refer materials related to parabola to revise it. Then I recalled the general equation of conics , which indeed requires 5 parameters to be determined uniquely. Then it will be like 5 equation and five unknown. BUT the problem is of level 5 and has got very high rating 300+. I am like it can't be so. There could be implicit conditions like lines through a some points could be tangent to it or so. Please give me some hints like whether I am going in the correct direction or not. like a Yes or a No. I have solved very very few level 5 prblm, I am just excited that atleast I am able to make something of a problem of that level.

If u think it will be unfair, don't mind leave it. I m going to click 'reveal solutions' soon :D. – Soumo Mukherjee · 2 years, 6 months ago

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– Steven Zheng · 2 years, 6 months ago

I've never seen this face? What is it called?Log in to reply

– Soumo Mukherjee · 2 years, 6 months ago

I don't know its name. May be if you image search 'meme faces' or 'troll faces' you will probably get one ;)Log in to reply