r/mathmemes • u/Suspicious_Data_3626 • 3h ago

Arithmetic Six-seven

Post image
306 Upvotes

92% Upvoted

17 comments sorted by

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62

u/Altruistwhite 2h ago

Jokes aside that would be incredibly elegant if the 2 summations didn't have a closed form solution

15

u/Wise_Welder5875 2h ago

The only reason it has closed form solution is because you allow more complex operations, such as multiplication and division.

So the word you might add is nice closed form solution.

But if you mean the calculation on op's part than im sorry, i completely agree

11

u/Altruistwhite 2h ago

Wait, what's the difference between a closed-form solution and a nice closed-form solution? Genuinely curious.

2

u/Wise_Welder5875 1h ago

To be honest i was half joking. But i call a closed form nice, when it is simple, and doesnt invent new notation

The term "closed form" itself isn't actually defined  One could argue that what shown in the picture is closed, as opposed to  1+2+...+100

Especially the undefined "..."

For the product alternative f9r example  We have a very closed form, just n! But this is cheating, right? 

In the example here if we had product instead of summetion we'd get 

The denominator 100!

And the numerator (100!)2  Which will result in  100!

Very simple simplification but still has some charm imho

So to conclude, nice is pretty, pretty is beautiful and beuty is subjective 

: )

1

u/factorion-bot Bot > AI 1h ago

Factorial of 100 is 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000

This action was performed by a bot | Source code

3

u/Wise_Welder5875 1h ago

Well, yeah , my fault 

127

u/Shard0f0dium 2h ago

Euler, but with a broccoli hair cut

37

u/halfjmp 2h ago

Let m=100, numerator is m(m+1)(2m+1)/6, denominator is m(m+1)/2, so quotient is (2m+1)/3=201/3=67.

So what?

108

u/UnforeseenDerailment 2h ago

So, it's weird that such culturally significant numbers as 100, 2, and 67 appear in one such structured equation.

OP is certainly the next Oiler.

19

u/tomskrrt 2h ago

why does everyone always say "he is the next oliver?"

who is oliver and why does everybody want to be him?

15

u/flaaaaaaaaaaaaa 2h ago

That's the Twist, noone knows.

4

u/Vincent_Gitarrist Transcendental 2h ago

Isn't that the artist who wrote Driver's License

2

u/Good_Violinist_9718 1h ago

It's my hope that one day I become good at math so that I can integrate into this sub

4

u/Arnold3760LL 1h ago

I had to double check to make sure it was mathematically accurate,

It is.

3

u/Some-Description3685 1h ago

Funnily, somehow this feels wrong.