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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#51 Puzzles and Games » googology game! » 2025-07-13 18:27:04

hypsin_0
Replies: 3

create a number,it must bigger than last post's number.
rule:
1.It mustn't infinity.
2.You can't cheat,such as add one on other people's number.
3.The number must be computable.

OK,let's go!

#53 Re: Help Me ! » 100% simple question! » 2025-07-13 15:43:43

If some one can give a exact solution,

#55 Jokes » Joke2 » 2025-07-13 00:28:30

hypsin_0
Replies: 0

1942,A japanese general is having a meeting.
"We have two things to do tomorrow.First,we will drive plane to hit enemy's aircraft carrier.Second,we will destroy this meeting room,and rebuild it again."The general said to the soldier.
"Why we have to rebuild it again?"soldiers asked together.
"Good,no one doubt about the first things."

#56 Jokes » Joke » 2025-07-13 00:20:03

hypsin_0
Replies: 0

I hate two kinds of people.
1.People who only speak half the word.

#57 Re: Exercises » Easy! » 2025-07-13 00:15:27

Question 2.5:


try to calculate:
and x+y  wink

#58 Exercises » Easy! » 2025-07-13 00:12:31

hypsin_0
Replies: 1

Question  1:

= ?

Question 2:

is equal to
,try to calculate a+b

#59 Re: Help Me ! » A simple question2 » 2025-07-12 23:46:52

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

#60 Re: Help Me ! » A simple question2 » 2025-07-12 23:14:52

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)

#62 Guestbook » [math] x^x [/math] » 2025-07-12 16:15:09

hypsin_0
Replies: 0

nothing,just a test
[smilies] smile [/smilies]

#63 Re: Help Me ! » A simple question » 2025-07-11 16:43:19

visit this website,it has the sollution of Basel problem.https://m.bilibili.com/video/BV11efiYaENR

#64 Re: Help Me ! » A simple question » 2025-07-11 16:41:32

so many things to write!It's so hard for me.

#65 Re: Help Me ! » A simple question » 2025-07-11 16:27:39

Maybe Euler's example can give you idea.
Basel problem
A mathematician try to solve 


He added 1000 terms and got a number around 1.64,and he asked for help.Many mathematicians tried,but they all failed.
One day,Euler saw the approximation,he guess it's π^2/6.So he started doing research on sin(x)
sinx maybe=

......(so many things to write!)
and he got sinx/x is

we know
's quadratic coefficient is
and sinx also equal to(you know,right?)
so we know -1/3!=

so
is π^2/6

#66 Re: Help Me ! » A simple question » 2025-07-10 23:18:17

Euler do research on it.He also solved second power(not too hard),sixth power and eighth power.

#67 Re: Help Me ! » A simple question » 2025-07-10 20:20:19

oops!I can't open this website.But...I don't want to use zeta function.

#68 Re: Help Me ! » A simple question » 2025-07-10 19:50:19

well...you can use calculus,maybe I can understand

#69 Re: Help Me ! » LaTeX - A Crash Course » 2025-07-10 17:34:00

Can any one give an example?Such as write down the full code...you know what I means,right?

#70 Re: Help Me ! » LaTeX - A Crash Course » 2025-07-10 17:30:27

I can't understand how to use LATEX.What" To use Latex on this forum, you have to place the Latex code between opening and closing math tags - you would type something in the format that's in the code box:"means?could anyone explain it further?

#71 Re: Help Me ! » A simple question » 2025-07-10 17:00:41

π^4/90,it's π,not n
I mean,add infinity terms (any grammar mistake?)

#72 Help Me ! » A simple question » 2025-07-10 16:05:52

hypsin_0
Replies: 23

I know that 1/1^4+1/2^4+1/3^4+......is equal to π^4/90,but how to prove it?
I tried to solve it in my final exam in grade seven,but I failed——I got a wrong answer

#74 Introductions » Hi » 2025-07-05 15:14:37

hypsin_0
Replies: 2

Hello everyone.I'm a Chinese and I'm 12 years old.I'm really interested in math.I'm glad to meet so many foreigners.It's a chance for me
to improve my english and mathematics skill.
My username is based on two googologist:hypcos and test_alpha0.
Sometimes I make some mistakes in grammar,sorry:)
F

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