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Does this type of bracket represent something else?

Thank you.

Note by Ruiwen Zhang 3 years, 4 months 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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It's not the Bracket, it's the Floor function. It means the greatest integer less than or equal to the number inside, or simply the integer part of a number.

e.g. \(\lfloor 3.56 \rfloor = 3 , \lfloor \pi \rfloor =3 , \lfloor -2.34 \rfloor = -3\)

There's one more of this kind, the Ceiling function. \(\lceil x \rceil\)

It is the Smallest integer greater than or equal to \(x\).

e.g \( \lceil 3.45 \rceil = 4 , \lceil -2.34 \rceil = -2 , \lceil \pi \rceil = 4\)

Also, the fractional part of a number is denoted by \(\{x\}\) and \( 0 \leq \{ x \} < 1\) always.

e.g \( \{ 3.67 \} = 0.67 , \{1.234\} = 0.234 , \{ -2.45 \} = 0.55 \)

If you're surprised at \(\{ -2.45 \} = 0.55\) ,

\(\bullet\) \(-2.45 = -3 + 0.55 \implies \lfloor -2.45 \rfloor = -3 \text{ and } \{-2.45\}=0.55\)

Hence you can write for every real number \(x\) ,

\(x = \lfloor x \rfloor + \{ x \} \)

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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

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TopNewestIt's not the Bracket, it's the Floor function. It means the greatest integer

less than or equal tothe number inside, or simply the integer part of a number.e.g. \(\lfloor 3.56 \rfloor = 3 , \lfloor \pi \rfloor =3 , \lfloor -2.34 \rfloor = -3\)

There's one more of this kind, the Ceiling function. \(\lceil x \rceil\)

It is the Smallest integer

greater than or equal to\(x\).e.g \( \lceil 3.45 \rceil = 4 , \lceil -2.34 \rceil = -2 , \lceil \pi \rceil = 4\)

Also, the fractional part of a number is denoted by \(\{x\}\) and \( 0 \leq \{ x \} < 1\) always.

e.g \( \{ 3.67 \} = 0.67 , \{1.234\} = 0.234 , \{ -2.45 \} = 0.55 \)

If you're surprised at \(\{ -2.45 \} = 0.55\) ,

\(\bullet\) \(-2.45 = -3 + 0.55 \implies \lfloor -2.45 \rfloor = -3 \text{ and } \{-2.45\}=0.55\)

Hence you can write for every real number \(x\) ,

\(x = \lfloor x \rfloor + \{ x \} \)

Log in to reply