Math Is Fun Forum

hypsin_0

Member

From: Earth

Registered: 2025-07-05

Posts: 47

A simple question2

Try to solve f(3)

Last edited by hypsin_0 (2025-07-12 18:32:21)

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We already walked too far, down to we had forgotten why embarked.

ktesla39

Member

From: Nepal

Registered: 2024-10-08

Posts: 393

Website

Re: A simple question2

Hey dude, I calculated 100s of values and the final approximate answer was 0 as shown in the figure. You can see the complete execution at https://ktesla.infy.uk/math.html But only open if you are on a PC as this has various nested loops that might hang your computer a bit (3 GB RAM)

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I know my value. Anyone else’s opinion doesn’t really matter.

hypsin_0

Member

From: Earth

Registered: 2025-07-05

Posts: 47

Re: A simple question2

The correct answer:

This function has it name,but I don't know it's english name,maybe has a word"fusible"
It's chinese name:伪燃烧数函数
1/f(10) is greater than graham's number.
关于它的定理在皮亚诺算术公理体系中不可证(I don't know how to translate)

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We already walked too far, down to we had forgotten why embarked.

ktesla39

Member

From: Nepal

Registered: 2024-10-08

Posts: 393

Website

Re: A simple question2

Do you mean

  Both are nearly 0

This version used JavaScript for calculation. I was originally going to use Python and it's SymPy module to find exact answer but python denied the recursive loop as it reached it's recursion limit.

But how did you know this? Can you tell me your grade?

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I know my value. Anyone else’s opinion doesn’t really matter.

hypsin_0

Member

From: Earth

Registered: 2025-07-05

Posts: 47

Re: A simple question2

visit this website: https://zhuanlan.zhihu.com/p/26493979529

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We already walked too far, down to we had forgotten why embarked.

ktesla39

Member

From: Nepal

Registered: 2024-10-08

Posts: 393

Website

Re: A simple question2

Ok that's strange and I had never seen such thing before

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I know my value. Anyone else’s opinion doesn’t really matter.