Comment on I predict that this post will get approximately 01000011100101100000000000000000

• SkybreakerEngineer@lemmy.world ⁨1⁩ ⁨day⁩ ago

  But some irrational numbers are only so in base 10

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  • very_well_lost@lemmy.world ⁨1⁩ ⁨day⁩ ago

    What? That’s not true at all…

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    • swab148@lemm.ee ⁨1⁩ ⁨day⁩ ago

      Base π: π=1

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      • Gobbel2000@programming.dev ⁨1⁩ ⁨day⁩ ago

        Writing the same number a different way does not make it rational. There are no two natural numbers p and q so that p/q = 1 base pi.

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      • wewbull@feddit.uk ⁨16⁩ ⁨hours⁩ ago

        1 is always 1. It’s $1 × b^0$ where b is the base.

        10 is the base. $1 × b^1 + 0 × b^0$

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      • very_well_lost@lemmy.world ⁨1⁩ ⁨day⁩ ago

        Even in base π, π is still considered an irrational number; using an irrational based doesn’t change the fundamental identity of whole numbers or irrational numbers, it just changes the way we write them.

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      • mexicancartel@lemmy.dbzer0.com ⁨23⁩ ⁨hours⁩ ago

        That doesn’t make it rational but simply makes it writable in 2 digits(10)

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      • Redjard@lemmy.dbzer0.com ⁨1⁩ ⁨day⁩ ago

        π = 10

        in base 10, 10 = 10.

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  • muntedcrocodile@lemm.ee ⁨1⁩ ⁨day⁩ ago

    Kinda. Technicaly no since an irrational number is a number that cannot be defined as a ratio of 2 existing rational numbers. Any number that can be represented in any rational base can by definition be represented as a ratio of somthing/base^n.

    What u think ur trying to say is that some numbers cannot be represented in one base but can in another for example 1/3 can be represented as a decimal in base 3 but cannot jn base 10 ie u get 0.333(3 repeating forever).

    Tieing back to floating point which uses base 2 u end up with simmillar issues with base10 base2 conversions hence most of the errors with floating point errors (yes at very large and very small numbers u lose accuracy but in practice most errors arise from base convention).

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• SpaceNoodle@lemmy.world ⁨1⁩ ⁨day⁩ ago

  What superior method do you propose?

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  • ArbitraryValue@sh.itjust.works ⁨1⁩ ⁨day⁩ ago

    Being a believer in Pythagoreanism and considering irrational numbers blasphemous.

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  • MBM@lemmings.world ⁨21⁩ ⁨hours⁩ ago

    Symbolical computation is cool

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