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Note by Adhiraj Dutta
11 months ago

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

• Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
• Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
• Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
• Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

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Try my question in the calculus section level medium name Fairly Impossible#1,Mr.Adhiraj.

- 10 months, 3 weeks ago

Don't call me Mr. Adhiraj. Only Adhiraj is fine.

- 10 months, 3 weeks ago

I got it - the result is $\pi$ - which means $1$.

- 10 months, 3 weeks ago

How?

- 10 months, 3 weeks ago

Your Beta Function note - I remembered your proof, so all I did was $\frac{\pi}{\pi}$$=1$

- 10 months, 3 weeks ago

Nice!!Plus thank you for noticing.

- 10 months, 3 weeks ago

So as you have agreed on the partners topic,what topic of mathematics should we deal first?

- 10 months, 3 weeks ago

I'm currently busy with Real Analysis. Mostly JEE related topics.

- 10 months, 3 weeks ago

Can you explain a bit about it?

- 10 months, 3 weeks ago

It's just a fancy term for advanced stuff of Limits, differentiability and other parts of calculus in the real domain.

- 10 months, 3 weeks ago

Well I was thinking it would be more complicated.

- 10 months, 3 weeks ago

I tried to simplify it for your understanding. There are much more things in it. It's in engineering courses.

- 10 months, 3 weeks ago

Also I was thinking to find an infinite product for the Clausen Function.

- 10 months, 3 weeks ago

What is the Clausen function?

- 10 months, 3 weeks ago

It is defined as,

$-$$\int_0^\phi \ln |2\sin\frac{x}{2}|dx$

- 10 months, 3 weeks ago

The graph looks very pretty. What are its applications?

- 10 months, 3 weeks ago

It's used in evaluating logarithm and polylogarithm function ,for simplifying hypergeometric series and many series also.

- 10 months, 3 weeks ago

Since it is a function with infinity zeroes it must a Weirstrass product but it seems it is discovered yet so I thought that in our free time,apart from real analysis,can least try and find one.Agree or disagree?

- 10 months, 3 weeks ago

Sure. Why not. I'll try to squeeze some time to know more about this function.

- 10 months, 3 weeks ago

There should be a not between discovered.

- 10 months, 3 weeks ago

You can edit comments on Brilliant. Tap the three dots on the right of "reply".

- 10 months, 3 weeks ago

$\phi$ is the input of the function.

- 10 months, 3 weeks ago

Can you look at my comment under your NIMO 2012 A1 problem, @Adhiraj Dutta?

Do you understand the concept in that problem? When I was of your age, I didn't know what GP or summation was.

- 11 months ago

Summation is the sum of the terms in a sequence (a series). GP is geometric progression. @Adhiraj Dutta

Just knowing what it is is not important. Applying it is more important. I'm asking you whether you understood how the manipulation was done, why it was done and what it led to.

- 11 months ago

Can you look at my comment under your NIMO 2012 A1 problem, @Adhiraj Dutta? It's under Chew-Seong Cheong's solution.

Delete the report in that question.

- 11 months ago

Doing it - give me $2$ minutes.