@a_tsubasa1: 電波が悪い気がしたので旦那にセルフ生歌全力熱唱してもらったらプロポーズ後の緊張で歌もガチガチでしたwww#カップル #カップルの日常 #couple #fyp

つーさんとゆっぴ
つーさんとゆっぴ
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Region: JP
Saturday 05 September 2026 12:15:41 GMT
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yuka__song
有華(YUKA) :
ご婚約おめでとうございます💖💖
2026-09-05 15:16:29
21479
nyan.039
り :
旦那になったのやばい😭
2026-09-05 12:17:37
22598
chi_sei04
Chi_sei :
かぺさんいつもより上手?www
2026-09-05 12:21:15
3350
airi37020
AIRI :
歌上手くなった?
2026-09-05 12:20:59
5844
user6581948334586
あみか.🧚‍♀️💞 :
したゆっぴちゃんだった
2026-09-05 12:24:41
3
iroha8993
いろは :
カペリートのウォーターシールあったよ‼️
2026-09-05 12:18:24
501
leq7r_14
leq7r_14 :
旦那になってる!!
2026-09-05 13:53:38
354
m.sho_m.u
ぼく :
そしてぼくが生まれたって訳か
2026-09-05 12:33:52
1243
yuwal4
変人【公式】 :
やっぱこのカップル達気合うね!これから頑張ってください!
2026-09-05 12:18:13
642
macorun._7
お む :
旦那って書いてるのが素敵🩷
2026-09-05 12:20:10
277
nayurukisou863
じゃがりこチョコ味 :
なんで俺バズんないの?
2026-09-05 12:23:50
5
user4905805352285
きよたけ@巨人純正 :
何で俺バズらないの?
2026-09-05 13:57:27
5
yx_2qyl
yx_2qyl :
前まで彼氏だったのに旦那になってるの素敵すぎる💖
2026-09-05 12:26:39
142
kira320097
🩵きらん💛 :
毎日カペリートって言うよ
2026-09-05 12:24:51
5
_ymekw.i
ゆうか :
旦那になってるのがうれしすぎる
2026-09-05 12:27:29
27
miyuu3904
チョケ田 あやの💙⛅ :
旦那になってんの好き一生幸せになってねー🩷💕🩷💕
2026-09-05 13:32:23
5
aika0_6_2_0_
あいか :
歌練習したよねWWW可愛い😻
2026-09-08 11:13:48
5
pkdkpkitzmm
怜 :
まじで夫婦感増えてかわいい😭😭😭
2026-09-05 12:18:12
5
user5176773120058
みかん :
ほんとに一生幸せでいてほしい
2026-09-05 12:42:38
7
pkdkpkitzmm
怜 :
さん
2026-09-05 12:17:47
8
tao4z
tao :
子供ばか可愛い子爆誕しそう
2026-09-05 14:40:38
105
yuzuna.712
𝒚𝒖𝒛𝒖𝒏𝒂 :
だんな🩷🥺
2026-09-05 13:51:29
6
no_z101
no_z10 🍀⋆゜ :
旦那になってるのが🥹
2026-09-05 12:24:27
5
haru72704
塩パン :
旦那になってるぅ
2026-09-05 23:27:24
25
yrh0702
ゆりは :
に!
2026-09-05 12:17:30
7
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My friend Cho Seung Hee gives 32 hugs Mathematical Games by Martin Gardner Scientific American, November 1977 In an unpublished proof, Graham recently established a bound so vast that it holds the record for the largest number ever used in a serious mathematical proof. The problem that Graham solved belongs to a branch of combinatorics called Ramsey theory, named for the British mathematician Frank Plumpton Ramsey. The field is concerned with properties that are preserved under partitioning. A typical Ramsey problem is to find the minimum number of elements a structure must have to ensure that a certain property holds, regardless of how the structure is divided into parts. Graham’s problem can be stated in terms of an N-dimensional hypercube. Imagine a cube in three dimensions. It has 8 vertices and 12 edges. Now consider a hypercube of N dimensions, which has \(2^{N}\) vertices. Connect every pair of vertices by a straight line. This forms a complete graph with \(2^{N}\) vertices, containing a total of \(2^{N-1}(2^N - 1)\) lines. Now suppose we color every single line in this graph using only two colors: red and blue. We want to know how large N must be before we can guarantee that no matter how the coloring is done, there will always exist four coplanar vertices (vertices that lie on a single flat plane) such that all six lines connecting them are of the same color. Graham, working with Bruce L. Rothschild, proved in 1971 that such a number \(N^{*}\) does exist. However, they could not determine its exact value. They could only establish an upper bound for \(N^{*}\). To express this upper bound, ordinary exponential notation is completely useless. Even the familiar tower of exponents: \(3^{3^{3^{\cdot ^{\cdot ^{\cdot ^{3}}}}}}\) cannot be written down if the tower has more than a few steps, because the number of digits would exceed the number of atoms in the observable universe. To overcome this, Graham used a new arrow notation developed by Donald Knuth. A single arrow \(\uparrow \) signifies ordinary exponentiation. Thus: \(3\uparrow 3=3^{3}=27\) Two arrows \(\uparrow\uparrow\) indicate a tower of exponents: \(3\uparrow \uparrow 3=3\uparrow (3\uparrow 3)=3^{3^{3}}=3^{27}=7,625,597,484,987\) Three arrows \(\uparrow\uparrow\uparrow\) represent a tower of towers, and four arrows \(\uparrow\uparrow\uparrow\uparrow\) represent a tower of towers of towers. Graham began his construction with a number he called g₁: \(g_{1}=3\uparrow \uparrow \uparrow \uparrow 3\) This number g₁ is already so immensely large that it is completely beyond human comprehension. Yet, it is only the first step. Graham then constructed a sequence of 64 numbers, where the number of arrows in each step is determined by the value of the preceding number: \(g_{2}=3\uparrow ^{g_{1}}3\) \(g_{3}=3\uparrow ^{g_{2}}3\) and so on, until he reached: \(g_{64}=3\uparrow ^{g_{63}}3\) This final value, g₆₄, is the upper bound established by Graham. It is a number so unimaginably vast that its digits cannot be written down, nor can they be contained within the boundaries of the known physical universe. It stands as a monument to the staggering scale of combinatorial possibilities. #ez #fyp #xyzbca #rampage #viral #рекомендации
My friend Cho Seung Hee gives 32 hugs Mathematical Games by Martin Gardner Scientific American, November 1977 In an unpublished proof, Graham recently established a bound so vast that it holds the record for the largest number ever used in a serious mathematical proof. The problem that Graham solved belongs to a branch of combinatorics called Ramsey theory, named for the British mathematician Frank Plumpton Ramsey. The field is concerned with properties that are preserved under partitioning. A typical Ramsey problem is to find the minimum number of elements a structure must have to ensure that a certain property holds, regardless of how the structure is divided into parts. Graham’s problem can be stated in terms of an N-dimensional hypercube. Imagine a cube in three dimensions. It has 8 vertices and 12 edges. Now consider a hypercube of N dimensions, which has \(2^{N}\) vertices. Connect every pair of vertices by a straight line. This forms a complete graph with \(2^{N}\) vertices, containing a total of \(2^{N-1}(2^N - 1)\) lines. Now suppose we color every single line in this graph using only two colors: red and blue. We want to know how large N must be before we can guarantee that no matter how the coloring is done, there will always exist four coplanar vertices (vertices that lie on a single flat plane) such that all six lines connecting them are of the same color. Graham, working with Bruce L. Rothschild, proved in 1971 that such a number \(N^{*}\) does exist. However, they could not determine its exact value. They could only establish an upper bound for \(N^{*}\). To express this upper bound, ordinary exponential notation is completely useless. Even the familiar tower of exponents: \(3^{3^{3^{\cdot ^{\cdot ^{\cdot ^{3}}}}}}\) cannot be written down if the tower has more than a few steps, because the number of digits would exceed the number of atoms in the observable universe. To overcome this, Graham used a new arrow notation developed by Donald Knuth. A single arrow \(\uparrow \) signifies ordinary exponentiation. Thus: \(3\uparrow 3=3^{3}=27\) Two arrows \(\uparrow\uparrow\) indicate a tower of exponents: \(3\uparrow \uparrow 3=3\uparrow (3\uparrow 3)=3^{3^{3}}=3^{27}=7,625,597,484,987\) Three arrows \(\uparrow\uparrow\uparrow\) represent a tower of towers, and four arrows \(\uparrow\uparrow\uparrow\uparrow\) represent a tower of towers of towers. Graham began his construction with a number he called g₁: \(g_{1}=3\uparrow \uparrow \uparrow \uparrow 3\) This number g₁ is already so immensely large that it is completely beyond human comprehension. Yet, it is only the first step. Graham then constructed a sequence of 64 numbers, where the number of arrows in each step is determined by the value of the preceding number: \(g_{2}=3\uparrow ^{g_{1}}3\) \(g_{3}=3\uparrow ^{g_{2}}3\) and so on, until he reached: \(g_{64}=3\uparrow ^{g_{63}}3\) This final value, g₆₄, is the upper bound established by Graham. It is a number so unimaginably vast that its digits cannot be written down, nor can they be contained within the boundaries of the known physical universe. It stands as a monument to the staggering scale of combinatorial possibilities. #ez #fyp #xyzbca #rampage #viral #рекомендации

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