Adhiraj's Messageboard

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Note by Adhiraj Dutta
3 months, 3 weeks ago

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  Easy Math Editor

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.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}

Comments

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

Aruna Yumlembam - 3 months, 1 week ago

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

Adhiraj Dutta - 3 months, 1 week ago

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Can you explain a bit about it?

Aruna Yumlembam - 3 months, 1 week ago

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

Aruna Yumlembam - 3 months, 1 week ago

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@Aruna Yumlembam What is the Clausen function?

Adhiraj Dutta - 3 months, 1 week ago

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@Adhiraj Dutta It is defined as,

-0ϕln2sinx2dx\int_0^\phi \ln |2\sin\frac{x}{2}|dx

Aruna Yumlembam - 3 months, 1 week ago

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@Aruna Yumlembam ϕ\phi is the input of the function.

Aruna Yumlembam - 3 months, 1 week ago

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@Aruna Yumlembam The graph looks very pretty. What are its applications?

Adhiraj Dutta - 3 months, 1 week ago

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

Aruna Yumlembam - 3 months, 1 week ago

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@Aruna Yumlembam 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?

Aruna Yumlembam - 3 months, 1 week ago

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@Aruna Yumlembam There should be a not between discovered.

Aruna Yumlembam - 3 months, 1 week ago

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

Adhiraj Dutta - 3 months, 1 week ago

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

Adhiraj Dutta - 3 months, 1 week ago

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

Adhiraj Dutta - 3 months, 1 week ago

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@Adhiraj Dutta Well I was thinking it would be more complicated.

Aruna Yumlembam - 3 months, 1 week ago

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

Adhiraj Dutta - 3 months, 1 week ago

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

Aruna Yumlembam - 3 months, 1 week ago

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I got it - the result is π\pi - which means 11.

A Former Brilliant Member - 3 months, 1 week ago

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How?

Aruna Yumlembam - 3 months, 1 week ago

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

A Former Brilliant Member - 3 months, 1 week ago

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@A Former Brilliant Member Nice!!Plus thank you for noticing.

Aruna Yumlembam - 3 months, 1 week ago

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

Adhiraj Dutta - 3 months, 1 week ago

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

A Former Brilliant Member - 3 months, 3 weeks ago

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Delete the report in that question.

Adhiraj Dutta - 3 months, 2 weeks ago

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Doing it - give me 22 minutes.

A Former Brilliant Member - 3 months, 2 weeks ago

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

A Former Brilliant Member - 3 months, 3 weeks ago

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

Adhiraj Dutta - 3 months, 3 weeks ago

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

A Former Brilliant Member - 3 months, 3 weeks ago

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@A Former Brilliant Member 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.

Adhiraj Dutta - 3 months, 3 weeks ago

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