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Friday 13 March 2026 03:01:14 GMT
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ibrakadabra :
deserved to replace gakpo's position in netherlands national football team, at least can try to make Gakpo as a striker...right winger can fill with malen or frimpong
2026-06-26 14:36:45
0
3 STAR GENERAL🔹 :
one pattern of goal scoring, highly predictable. Anthony 2.0
2026-06-17 11:49:04
1
anesuishe07 :
he's a baller 🔥
2026-06-17 08:17:52
0
MASTHEO :
mirip nani
2026-06-17 13:08:12
0
DEEN WAVE 🤍 :
even dogu fit score all this gosl
2026-06-16 20:38:40
1
babi (ባብ) :
🥰
2026-06-17 10:00:01
0
DARUL HADITH 📖 :
🥰🥰🥰
2026-06-16 18:39:49
0
H06 :
🔥🔥🔥
2026-03-13 03:22:58
0
Boy--ndoos :
🥰🥰🥰
2026-07-02 02:05:04
0
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3. Graham's number is related to the following problem in Ramsey's theory: Consider n {\ displaystyle n} -dimensional hypercube and connect all pairs of vertices to obtain a complete graph with 2 n {\ displaystyle 2 ^ {n}} vertices. Paint each edge of this graph either red or blue. At what is the smallest value n {\ displaystyle n} does each such coloring necessarily contain a single-color complete subgraph with four vertices, all of which lie in the same plane? Graham and Rothschild proved in 1971 that this problem has a solution. N ∗ {\ displaystyle N ^ {*}}, and showed that 6 ≤ N ∗ ≤ N {\ displaystyle 6\ leqslant N ^ {*}\ leqslant N}, where N {\ displaystyle N} is a specific, precisely defined, very large number. In Knuth's arrow notation language, it can be written as N = F 7 ( 12 ) {\ displaystyle N = F ^ {7} (12)}, where F ( n ) = 2 ↑ n 3 {\ displaystyle F (n) = 2\ uparrow ^ {n} 3}. This number is referred to as the "Little Graham number." The lower bound was improved by Exu in 2003 and Barkley in 2008, which showed that N ∗ {\ displaystyle N ^ {*}} should be at least 13. Then the upper limit was improved to 2 ↑ 3 6 {\ displaystyle 2\ uparrow ^ {3} 6} and then up to 2 ↑ ↑ 2 ↑ ↑ 2 ↑ ↑ 9 {\ displaystyle 2\ uparrow\ uparrow 2\ uparrow 2\ uparrow\ uparrow 9}. Thus, 13 ≤ N ∗ ≤ 2 ↑ ↑ 2 ↑ ↑ 2 ↑ ↑ 9 {\ displaystyle 13\ leqslant N ^ {*}\ leqslant 2\ uparrow\ #based #fyp #larping "
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