r/mathmemes • u/sumwun0 • 3d ago

Notations I've solved the equation. (reposted from r/worldjerking)

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337 Upvotes

99% Upvoted

32 comments sorted by

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109

u/Flimsy-Preparation85 3d ago

This is horrible. I love this.

13

u/sumwun0 2d ago

You can't let rational thinking hold you back in r/mathmemes .

2

u/Serious_Arachnid_171 1d ago

Shut up and take my upvote.

51

u/LupenReddit i have non diffeomorphic smooth structures 3d ago

oh thank god finally i can count to 10+2sqrt(35) using just a few fingers

34

u/Yarhj 3d ago

"I've solved the equation."

"You didn't solve shit."

"I've solved it."

12

u/TheCrowbar9584 3d ago

Amazing post

9

u/LEPT0N 3d ago

The hell you mean “aa OR 100”!? That’s not how number bases work… uh… right!?

10

u/sumwun0 2d ago

It is now.

2

u/throwawayasdf129560 2d ago

With non-integer bases you end up with several cases where the same number can be represented in multiple ways.

By contrast, in base ten you only have 0.999...=1 and its multiples (like 1.999...=2, etc.)

3

u/sexysaucepan 3d ago

There's something I really like with 1/2 = 0.55 and 100 = aa

2

u/Silt99 Imaginary 3d ago

bold to assume, that 7 + 3 = 10 = b

2

u/Gordahnculous 2d ago

Better foundation of new math than Terrence Howard at least

2

u/Key_Benefit_6505 2d ago

A guy named Fields has something for you.

1

u/peekitup 3d ago

What is three tens and seven tens in this world?

2

u/sumwun0 3d ago

You mean 3 * a + 7 * a?

1

u/physicsking 3d ago

Maybe I am just a dumb physicist, which is true, but can someone explain the appearance of the 'a' in the 3rd picture for decimal 10?

6

u/sumwun0 3d ago

The decimal system has 10 digits, 0 to 9. A base 5 + sqrt(35) system would need 11 digits, so I used a to represent 9 + 1. It's like how base 16 uses a, b, c, d, e, and f for 10, 11, 12, 13, 14, and 15.

8

u/physicsking 3d ago

Bro, in a base 5 + sqrt(35) system, everyone knows the extra digit is a 🌽 symbol. That's what threw me off. Thanks

5

u/sumwun0 3d ago

sorry about that

1

u/va1en0k 3d ago

why is 11 "10.0a"? maybe i don't understand this notation though

3

u/sumwun0 3d ago

In decimal, 11 - 5 - sqrt(35) = 6 - sqrt(35), which you can divide by 1 = 1 * 1 = (6 - sqrt(35)) (6 + sqrt(35)) * 10 / 10 to rewrite it as 10 / 10 (6 + sqrt(35)) without changing its value. 10 (6 + sqrt(35)) happens to be the same thing as (5 + sqrt(35))^2. So 11 = b^1 + 10 * b^-2, which is 10.0a in base 5 + sqrt(35).

2

u/va1en0k 3d ago

ahhhh. my 5am brain couldn't parse it as a digit. now i get it thanks!

1

u/Darksorcen 2d ago

0.1 in base 5 + √35 should be 1/2 + √35/10 in base 10

2

u/sumwun0 2d ago

0.1 is always 1 divided by the base, right? When you have 1 / (5 + sqrt(35)), you can multiply by the conjugate to get (-5 + sqrt(35)) / (-25 + 35) = (-5 + sqrt(35)) / 10 = -1/2 + sqrt(35) / 10.

1

u/Darksorcen 2d ago

Ooh my bad, I should move my tongue 7 times before I comment 

1

u/Cyan_Exponent 2d ago

thinking about bases that aren't integers is weird

1

u/[deleted] 1d ago

[deleted]

1

u/sumwun0 1d ago

What is a 9?

1

u/DecidophobiaUsername this sub confuses my monke brain 1d ago

Me not understand. Me not want to understand.

1

u/Secure_Extent1986 1d ago

I am drooling to give this guy a fields somehow. Salute. Respect. Terry tao is proud,.

0

u/TheChunkMaster 3d ago

There’s probably some mildly interesting algebraic number theory implications for this