• Christian@lemmy.ml
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    2 months ago

    There is only one model structure that can be put on the category of small categories for which the weak equivalences coincide with honest equivalences of categories. It’s called the Joyal-Tierney model structure. You can define the suspension of an object in any model category as the homotopy pushout to two terminals, then define an abstract notion of a sphere in any model category by setting the 0-sphere as the coproduct of two terminals and the (n+1)-sphere as the suspension of the n-sphere.

    A small category is a CW-complex if and only if it is a groupoid.

  • whotookkarl@lemmy.world
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    2 months ago

    The most efficient base for a number system is e.

    We use base 10 with 0-9 digits and each position is a ten’s place, and the efficiency being measured is the product of the number of digits and the length of digits needed to represent a number in a given range of values. So if we used base 2 binary instead of base 10 decimal we only need to remember 2 digits 0-1, but to represent most numbers we’ll need more digits, 11 in base 10 is 1011 in base 2. On the other side we could use hexadecimal to write shorter numbers like 11 is B, but need to use more digits, 0-F digits where A-F are the 10-15 digits.

    If you try to plot a function that minimizes the efficiency the minimum is at e. So you’d have digits 0-2 and e would be written as 10 since each position is an e’s place.

  • Libra00@lemmy.ml
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    2 months ago

    There is (or at least used to be) a debug command to write-protect a hard drive. No idea what it’s for or why such a thing exists, but you flip a certain bit from 0 to 1 and drive no write. I won $100 once at work with this knowledge. We had a training course about how much better the new version of windows at the time was and how much harder it was to break - so hard they’d pay $100 (in early 2000s money) to anyone who could unrecoverably break their demo windows install during the 10 minute presentation. The instructor (who worked for Microsoft) said he’d been doing this for 6 months and they’d never had to pay out that prize before, much less 30 seconds in.

      • Libra00@lemmy.ml
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        2 months ago

        No, this was via debug, a command that’s been included in MS-DOS since like version 2.0 (before there even was a Windows, much less full-OS windows like Win95/NT/etc rather than 3.0/3.1 that were just fancy launchers that sat on top of DOS.) It can let you view and alter the contents of memory at a particular address, etc. We also used it to wipe hard drives by forcibly writing 0s to every block on the drive.

        • zod000@lemmy.ml
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          2 months ago

          You could do stuff like that with the older DOS versions of Norton Utilities. I used to do fun stuff like set my friend’s files as the drive label. He thought I was basically a wizard.

          • Libra00@lemmy.ml
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            2 months ago

            Yup, or any hex editor that could target memory addresses (some of them were limited to run on a certain file or whatever.) But yeah I used to do similar when I was a kid, I would go into my game files (all DOS games back then of course) and change text strings you could find in there with a hex editor. I’d just change goofy stuff like ‘Copyright’ to ‘Copyleft’, ‘The bandit strikes the princess!’ to ‘The dude slaps a ho’, etc. It was endlessly amusing when I was that age. :)

    • Zoop@beehaw.org
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      2 months ago

      Wow. From everything I could find that he wasn’t able to nuke, he sounds like a trip!

  • Ænima@lemm.ee
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    2 months ago

    If you stare at the elbow of someone you are high-fiving, you’ll never miss the high five.

  • Dagwood222@lemm.ee
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    2 months ago

    Crime novelist Jim Thompson [Pop.1,280] wrote a novelization of the TV show Ironside.

    If that’s not esoteric, I don’t know what is.

  • hbar@lemmy.ml
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    2 months ago

    Mammals generally get 1.5 billion heart beats in their lifetime regardless of size.

      • hbar@lemmy.ml
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        2 months ago

        I don’t think so, these numbers are population averages and the relationship probably doesn’t apply at the individual level. Also humans don’t tend to follow this rule as closely due to things like medicine.

  • HakFoo@lemmy.sdf.org
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    2 months ago

    The UK issued silver dollars once. They were dated 1804 and considered “bank tokens” as they had less silver than their denomination required at the time. They basically stamped a new design on Spanish colonial 8-real coins and passed them as five shillings.

    The UK had a hard time with coin supply for most of the 1700s until 1816 when they finally downdized many coins.

  • WeirdGoesPro@lemmy.dbzer0.com
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    2 months ago

    All contradiction is reconciled above the abyss, hence why spiritual visions can sometimes appear horrible at face value.

    Wait, what kind of esoteric did you mean?

  • hperrin@lemmy.ca
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    2 months ago

    There are two types of color E-ink displays:

    One that uses a color filter on top of a regular black and white particle display, like in their Kaleido screens. This has a faster refresh rate like black and white displays, but the colors are muted and the screen’s “pure white” is much more gray than other displays.

    One that uses four colored particles, cyan, magenta, yellow, and reflective white, like in their Gallery screens. This has a much slower refresh rate, but the colors are vivid and the screen’s “pure white” is just as good as a non-color screen.

    There are also color transflective LCD screens from other companies that are sometimes marketed as “e-paper” or “paper like” that are fairly uninteresting.

    And there are just straight up backlit LCD screens marketed as “e-paper” or “paper like” that are just not. XPPen just made one. I personally think this should be considered false advertising.

  • AnimalsDream@slrpnk.net
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    2 months ago

    I mean I’ve spent time studying occult stuff, so I guess pretty much the trope codifier.

    Turns out they mostly just like to do the macarena. ¯\_(ツ)_/¯