this post was submitted on 02 Jul 2024
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chapotraphouse

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This little guy craves the light of knowledge and wants to know why 0.999... = 1. He wants rigour, but he does accept proofs starting with any sort of premise.

Enlighten him.

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[โ€“] Xavienth@lemmygrad.ml 3 points 4 months ago (2 children)

Using i as an index ๐Ÿคฎ

[โ€“] mathemachristian@hexbear.net 6 points 4 months ago (2 children)

? Thats pretty standard though right?

[โ€“] dat_math@hexbear.net 6 points 4 months ago* (last edited 4 months ago) (1 children)

in computer programs, yes

not so much in analysis

[โ€“] mathemachristian@hexbear.net 3 points 4 months ago* (last edited 4 months ago)

I'm seeing n and i used as variables in Rudin, predominantly n though, but Im accustomed to n being a constant.

[โ€“] Tomorrow_Farewell@hexbear.net 5 points 4 months ago (1 children)

The symbol 'i' is usually reserved for the imaginary unit.

[โ€“] mathemachristian@hexbear.net 2 points 4 months ago

I've seen it used very frequently as a name for a variable, the imaginary unit i usually has a different typeface to distinguish the two is what Im accustomed to.

[โ€“] dat_math@hexbear.net 2 points 4 months ago

Your feedback is valid and I apologize for rendering such an ugly proof