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@yueci: mỗi ngày đều lưu lại kỉ niệm #nankaiuniversity #duhoc #duhoctrungquoc #yueci #haha

Yueci
Yueci
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Region: JP
Thursday 23 April 2026 05:09:43 GMT
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wwmmmmmmmmmn
Tép :
Một ngày thật là màu sắc nhỉ
2026-04-23 14:12:21
4
nhat_2208
khánh 🍀 :
ngòi khác bên Việt mình lắm nì ,cũng đang kiếm ngòi như vậy để tập viết ạ
2026-04-23 10:47:54
21
_nene.0704
Nga🌷 :
Thật sự là một người thích cây cối thì mình rất thích những tán cây bên này, nó đẹp mà nó thơ kiểu gì ấyyy
2026-04-23 15:39:20
28
ksh56_
h :
a học ngành gì thế ạ
2026-07-15 14:19:29
0
huongnguyen101199
huongnguyen101199 :
bển thi viết tay nhìu hong bà
2026-04-27 07:06:26
2
.cp.3.th.i.tn347
td. :
Muốn sang đây học quá 🍀🍀🍀
2026-06-21 07:31:33
0
stws.08
Sandy đang học Toeic ✨ :
Nhớ thời đi học ghê á
2026-06-19 05:03:39
0
pinyin.cuu.tui
Tiểu Nguyên thích hót (小元） :
cảm ơn 🥰
2026-05-20 14:05:19
0
wjooanie
xí muội ram me 🍄‍🟫 :
Làm sao để viết như chữ viết tay đẹp v được nhỉ mình viết cứ như chữ đánh máy 🥹
2026-04-24 05:45:39
0
seolrin.002
𝚃𝚑𝚊𝚗𝚑 𝚇𝚞𝚊𝚗 ✨ :
b học ngành gì v ạ
2026-04-28 08:33:31
1
nq.huyn
h :
làm sao để viết được nét chữ như v ạ
2026-04-24 15:16:03
0
usernameyehe1
usernameyehe1 :
@M thich
2026-06-24 23:28:39
0
thangvitas
Vitas 好好学外语 :
Chữ viết tay thượng thừa quá🤩
2026-04-23 08:10:54
3
nptrongxzz
😪 :
Chill
2026-04-23 10:21:15
2
953.vthh
Mia🐰 :
Huhu viết đẹp quá nè
2026-04-23 12:45:47
2
vncgtt_0307
Fanwenqiang :
Đẹp thật
2026-04-23 13:12:12
1
tdp_256
🗿 :
Cho mình xin ảnh nhaaaa
2026-04-23 15:58:45
1
giwshbtru
back in life :
chữ đẹp quãi
2026-04-26 02:58:57
1
limmdayy
S :
thật ra nhờ vào những vid ntn mà mình có động lực đi học và chăm học lắm
2026-04-24 15:17:40
0
bngchaau_
zhu :
Xing qá sop oi
2026-04-23 15:51:31
0
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Graham’s number is a mind-bogglingly huge integer that serves as an upper bound (the maximum possible answer) in a complex mathematical problem from Ramsey theory. It is so vast that there aren't enough atoms in the entire observable universe to write it down. Below is a detailed explanation of how it works, why it arose, and just how grand it is. 1. Where Did It Come From? In the 1970s, mathematician Ronald Graham was working on a problem: how large must a multidimensional hypercube be so that, if you color its lines with two colors, you are guaranteed to get at least one single-colored complete graph? Graham found the answer, but for his mathematical proof, he needed a number with a
Graham’s number is a mind-bogglingly huge integer that serves as an upper bound (the maximum possible answer) in a complex mathematical problem from Ramsey theory. It is so vast that there aren't enough atoms in the entire observable universe to write it down. Below is a detailed explanation of how it works, why it arose, and just how grand it is. 1. Where Did It Come From? In the 1970s, mathematician Ronald Graham was working on a problem: how large must a multidimensional hypercube be so that, if you color its lines with two colors, you are guaranteed to get at least one single-colored complete graph? Graham found the answer, but for his mathematical proof, he needed a number with a "margin of safety." This giant number became the upper bound that guaranteed the correctness of his theorem. 2. How Is It Written? Ordinary exponents (3^3 or 10^{100}) are completely useless here. To write Graham’s number, mathematicians use Knuth’s up-arrow notation, which represents iterated exponentiation. Single arrow: 3 \uparrow 3 = 3^3 = 27 Double arrow (power towers): 3 \uparrow\uparrow 3 = 3^{3^3} = 3^{27} = 7,625,597,484,987 Triple arrow: represents the iteration (repetition) of double arrows, and so on. 3. Step-by-Step Growth Graham’s number (denoted by the letter G) is calculated across 64 steps: Step 1 (g_1): This is the expression 3 \uparrow\uparrow\uparrow\uparrow 3, containing 4 arrows. This alone is a number impossible to mentally comprehend. Step 2 (g_2): A new expression is created where the number of arrows equals the result of the first step—g_1. Step X: At each subsequent step, the number of arrows equals the answer from the previous step. The Finale (G): Graham’s number itself is g_{64}. To reach it, you must complete 64 steps, with each step making the number of arrows astronomically larger than the previous one. 4. How Monstrous Is It? To grasp its scale, consider these facts: The End of the Number: The exact total value of Graham’s number is unknown, but scientists using supercomputers have calculated the last 50 digits (it ends in ...032223487). Impossibility of Writing It Down: If you attempted to write Graham’s number on paper, putting each digit in a font as microscopic as an atom, the entire space of the known universe (93 billion light-years) would fill up with digits long before you finished. Information Density: Even if every cubic millimeter of your brain could store infinite amounts of information, there still wouldn't be enough mental memory to "fit" Graham’s number into a head in its complete form—the brain would simply collapse into a black hole due to the sheer mass of data. Despite its grandeur, Graham’s number is far from the largest in mathematics. Numbers like Rayo's number exceed Graham’s number by an unimaginable factor, as they are defined beyond the bounds of traditional arrow operations.
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