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Inspired by Alex Delhumeau.

Note by Pi Han Goh 3 years ago

Easy Math Editor

*italics*

_italics_

**bold**

__bold__

- bulleted- list

1. numbered2. list

paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)

> 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"

2 \times 3

2^{34}

a_{i-1}

\frac{2}{3}

\sqrt{2}

\sum_{i=1}^3

\sin \theta

\boxed{123}

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I don't have a proof yet, but I suspect that the minimum is at \(m=\pi\).

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I'm pretty sure it falls between \(3.11 \) and \(3.13\).

Yes, I checked 3.12 and it appears to lower... oh well, that would have been a really cool minimum :(

I don't know if this is really helpful but this is equivalent to minimizing \({Li}_{-n}(\frac{1}{n})\). (The polylogarithm function)

Comment deleted Jun 09, 2015

I didn't restrict \(m\) to be an integer. A value of \(3.11\) yields a lower sum.

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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewestI don't have a proof yet, but I suspect that the minimum is at \(m=\pi\).

Log in to reply

I'm pretty sure it falls between \(3.11 \) and \(3.13\).

Log in to reply

Yes, I checked 3.12 and it appears to lower... oh well, that would have been a really cool minimum :(

I don't know if this is really helpful but this is equivalent to minimizing \({Li}_{-n}(\frac{1}{n})\). (The polylogarithm function)

Log in to reply

Comment deleted Jun 09, 2015

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I didn't restrict \(m\) to be an integer. A value of \(3.11\) yields a lower sum.

Log in to reply