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#1 Euler Avenue » by accident » 2025-07-14 16:19:21
- hypsin_0
- Replies: 0
It's interesting,e^(e^(e^1.6))/(10^61) is similar to π
#2 Re: Puzzles and Games » Add 13 more and post it forever. » 2025-07-14 16:16:25
30251
3^2+5-1=13
#3 Re: Euler Avenue » "Profs Duke It Out in Big Number Duel" » 2025-07-14 15:55:28
I WILL MAKE A LARGE NUMBER
p1(0)=100
pn(a+1)=pn(a)×100
pn(#+pn+1(0))=pn(#+pn(#+...)) (100×pn)
rule3 maybe hard to understand.It means,find the most inside.(right is more inside than left)pn+1(0),and search outside,until the first pn,and copy for 100times.
for example:p1(p2(0)+p2(0))=p1(p2+p1(p2+...))
It seems easy,right?
But TREE(3)＜TREE(TREE(......TREE(3).......))＜......p1(p2(...p100(100)))＜sscg(3)
#4 Dark Discussions at Cafe Infinity » Infinity hotel » 2025-07-14 15:38:38
- hypsin_0
- Replies: 1
A scientist want to update the hotel.
Guess what he do.
They want to stay in the hotel.
guests come,the hotel seems full.
But then the scientist pick two room together,it become another room.
"If several room is full,pick some of them and it become another empty room.
In this way,we have room.
But it more than,or less than,or just enough?
#5 Re: Puzzles and Games » googology game! » 2025-07-14 14:10:19
What?No one here?Can someone help to delete this useless post?
#6 Jokes » Joke3 more harder to understand » 2025-07-14 14:07:04
- hypsin_0
- Replies: 0
Principal:"In the last year,the first-graders was responsible to clean the school.This year,the second-graders is responsible to clean the school."
#7 Re: Help Me ! » 100% simple question! » 2025-07-13 20:47:33
so...how to delete this post?
#8 Re: Puzzles and Games » googology game! » 2025-07-13 19:05:10
nobody?
A(0,a)=a+1
A(a,0)=A(a-1,1)
A (a,b)=a(a-1,A(a,b-1))
A(x,n)=a(n,n)
A (#+x,n)=A(#+n,n)
notice:A(x+1,n) is bigger than a(1+x,n) (n∈z+)
My number:A (x+x+x,3)
#9 Re: Puzzles and Games » googology game! » 2025-07-13 18:28:23
A simple start:10^100
#10 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!
#11 Re: Help Me ! » 100% simple question! » 2025-07-13 15:47:27
secret: let x=a-2/a
#12 Re: Help Me ! » 100% simple question! » 2025-07-13 15:43:43
If some one can give a exact solution,
#13 Help Me ! » 100% simple question! » 2025-07-13 15:35:21
- hypsin_0
- Replies: 9
x=
#14 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."
#15 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.
#16 Re: Exercises » Easy! » 2025-07-13 00:15:27
Question 2.5:
try to calculate: and x+y
#17 Exercises » Easy! » 2025-07-13 00:12:31
- hypsin_0
- Replies: 1
Question 1:
Question 2:
#18 Re: Help Me ! » A simple question2 » 2025-07-12 23:46:52
visit this website: https://zhuanlan.zhihu.com/p/26493979529
#19 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)
#20 Help Me ! » A simple question2 » 2025-07-12 18:30:31
- hypsin_0
- Replies: 6
Try to solve f(3) 
#21 Guestbook » [math] x^x [/math] » 2025-07-12 16:15:09
- hypsin_0
- Replies: 0
nothing,just a test
[smilies] [/smilies]
#22 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
#23 Re: Help Me ! » A simple question » 2025-07-11 16:41:32
so many things to write!It's so hard for me.
#24 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
#25 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.