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near zero (mander.xyz)
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[-] captain_aggravated@sh.itjust.works 72 points 2 weeks ago

A mathematician, a physicist and an engineer are led into a long room. At the other end stands a beautiful naked woman. "When I ring this bell," she says" you may cross half the space between us. When I ring the bell again, you may again cross half the space between us." Both the mathematician and physicist groan and wander off. "Ah, it's Zeno's paradox, we can never actually reach her." The engineer, waiting for the bell, says "I think I can get close enough."

[-] KillingTimeItself@lemmy.dbzer0.com 25 points 2 weeks ago

why is there a naked woman?

[-] NegativeInf@lemmy.world 15 points 2 weeks ago

Because humanity has no other desires between math and tits apparently.

[-] Leate_Wonceslace@lemmy.dbzer0.com 8 points 2 weeks ago

Can confirm.

(I'm both a mathematician and a pervert)

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[-] rockerface@lemm.ee 67 points 2 weeks ago

Also mathematicians: here's this cool new thing, I called it "infinitesimal"

[-] henfredemars@infosec.pub 46 points 2 weeks ago

In computer engineering we have positive and negative zero.

[-] Gladaed@feddit.de 18 points 2 weeks ago
[-] Leate_Wonceslace@lemmy.dbzer0.com 4 points 2 weeks ago

What algebra uses negative 0?

[-] agamemnonymous@sh.itjust.works 13 points 2 weeks ago

When taking about limits, you can approach 0 from the positive or negative direction, which can give very different results. For example, lim cotx, x->0+ = ∞ while lim cotx, x->0- = -∞

[-] Leate_Wonceslace@lemmy.dbzer0.com 16 points 2 weeks ago

Speaking as a mathematician, it's not really accurate to call that -0.

[-] agamemnonymous@sh.itjust.works 5 points 2 weeks ago

Yes, but it is infinitesimally close.

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[-] barsoap@lemm.ee 7 points 2 weeks ago

IEEE 754

I mean it's an algebra, isn't it? And it definitely was mathematicians who came up with the thing. In the same way that artists didn't come up with the CGI colour palette.

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[-] marcos@lemmy.world 4 points 2 weeks ago* (last edited 2 weeks ago)

Unknowingly from the GP, that's exactly where CE got it from.

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[-] PlexSheep@infosec.pub 13 points 2 weeks ago

What do you mean? In two's complement, there is only one zero.

[-] yetAnotherUser@feddit.de 39 points 2 weeks ago

IEEE 754 floating point numbers have a signed bit at the front, causing +0 and -0 to exist.

[-] henfredemars@infosec.pub 18 points 2 weeks ago

Specifically I was referring to standard float representation which permits signed zeros. However, other comments provide some interesting examples also.

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[-] HexesofVexes@lemmy.world 13 points 2 weeks ago

And, as a mathematician who has been coding a library to create scaled geometric graphics for his paper, I hate -0.0.

Seriously, I run every number where sign determines action through a function I call "fix_zero" just because tiny tiny rounding errors pile up in floats, even is numpy.

[-] mexicancartel@lemmy.dbzer0.com 35 points 2 weeks ago

Limit x->0 { x } = 0 ? Noway

[-] pumpkinseedoil@sh.itjust.works 8 points 2 weeks ago

Wait do you actually say "limit" instead of "limes" in English?

[-] something_random_tho@lemmy.world 15 points 2 weeks ago

Yes, as in "Why can't I hold all these limits?"

[-] mexicancartel@lemmy.dbzer0.com 4 points 2 weeks ago

I usually uses lim

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[-] ShaunaTheDead@kbin.social 5 points 2 weeks ago

Yeah, I was gonna say... Calculus is all about saying it's infinitely approaching zero so let's assume it is zero.

[-] ignotum@lemmy.world 24 points 2 weeks ago
[-] sus@programming.dev 12 points 2 weeks ago

cosmologists: sin(x) ~= 10

[-] KillingTimeItself@lemmy.dbzer0.com 24 points 2 weeks ago

i mean, mathematically speaking, every number that isn't zero, is further away from zero, than the number before it.

So there is a point to the statement of "approaching zero" as well "near zero" and "about zero" since 100 probably isn't about zero.

Also CS nerds would like to fight you about floating point values.

[-] cucumber_sandwich@lemmy.world 7 points 2 weeks ago

Whoa slow down there buddy. Proposing numbers before numbers like they are a given.

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[-] Reddfugee42@lemmy.world 23 points 2 weeks ago

"small but non-zero" is one of my favorite phrases 😅

[-] 01101000_01101001@mander.xyz 11 points 2 weeks ago* (last edited 2 weeks ago)

I like Paul Erdős's usage of "epsilon" to refer to children

[-] Breve@pawb.social 12 points 2 weeks ago

The infinitesimal has entered the chat.

[-] iAvicenna@lemmy.world 10 points 2 weeks ago

lets ignore the higher order terms for now. five lines below look at this beautiful exact equality that we got

[-] AnUnusualRelic@lemmy.world 7 points 2 weeks ago

What about large values of zero?

[-] berryjam@lemmy.world 4 points 2 weeks ago
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this post was submitted on 18 May 2024
734 points (98.0% liked)

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