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1 year, 1 month 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.

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

- 1 year, 1 month ago

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

- 1 year, 1 month ago

Can you explain a bit about it?

- 1 year, 1 month ago

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

- 1 year, 1 month ago

What is the Clausen function?

- 1 year, 1 month ago

It is defined as,

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

- 1 year, 1 month ago

$\phi$ is the input of the function.

- 1 year, 1 month ago

The graph looks very pretty. What are its applications?

- 1 year, 1 month ago

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

- 1 year, 1 month 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?

- 1 year, 1 month ago

There should be a not between discovered.

- 1 year, 1 month ago

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

- 1 year, 1 month ago

- 1 year, 1 month ago

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

- 1 year, 1 month ago

Well I was thinking it would be more complicated.

- 1 year, 1 month ago

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

- 1 year, 1 month ago

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

- 1 year, 1 month ago

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

- 1 year, 1 month ago

How?

- 1 year, 1 month ago

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

- 1 year, 1 month ago

Nice!!Plus thank you for noticing.

- 1 year, 1 month ago

- 1 year, 1 month ago

@Adhiraj Dutta coud you post the solution of your own question seq and series(13) and are you a jee aspirant

- 2 months, 1 week ago

I would have posted it if I knew the solution :p

And not really, I'm not really sure what I wanna do in the future.

- 2 months, 1 week ago

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

- 1 year, 1 month ago

Delete the report in that question.

- 1 year, 1 month ago

Doing it - give me $2$ minutes.

- 1 year, 1 month ago

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

- 1 year, 1 month ago

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

- 1 year, 1 month ago

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

- 1 year, 1 month ago

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.

- 1 year, 1 month ago