@user80145712540937:

Ангел
Ангел
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Region: KZ
Monday 20 April 2026 06:27:20 GMT
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userbqfyah8gw2
Світлана :
Дякую за Супер побажання і відео Гарного дня 🥰🥰🥰
2026-04-20 14:25:28
9
user8115498108404
Ольга :
Благодарю.за поцелуй в обе щеки .як чаривно и смачно., дякую.широ и за Яскраве сердечко ,и за Класс класс класс дякую.росантмка чаривной яскоавой музики , дякую Мий Друже. за вечер,,Ангелочек чаривний нижний ,дякую.на добранич , Бажаю..Тоби казкових снив з чаривними друзями казки И яскрави сердечка ,дякую.
2026-04-24 19:40:41
1
user2196761998258
Татьяна Егорова :
@🥰🥰🥰добрый.вечер🥰 Ангел,чудесный.ролик!!!🌹 музыка.волшебная🥳🥳🥳 спасибо.за.пожелания.🥰 всего.самого.лучшего.вам, доброго.самого,удачи!!!🤟
2026-04-25 15:53:44
1
serhii.savchenko31
Serhii Savchenko :
Благодарю Тебя мой Ангел за утренний позитив. Тебе всего самого доброго
2026-04-25 07:21:00
1
user46107438442156
user4610743844215 ЛИДИЯ :
2026-05-08 16:01:25
1
user5272665192709
Евгения :
спасибо большое тебе ангел за музыку прекрасную за смайлики и за красивые и теплые нежные слова Я тебя не забываю 💝💝💝
2026-04-20 12:51:35
2
user6308243659826
Неля Цимарная :
Ангел ,Ангел , какой ты классный . Ты позитвчик , ты настроение , ты улыбка на все 32 зуба.
2026-04-23 10:24:36
2
olga.mazurik3
Olga Mazurik :
привет Ангелочек, с праздником победы тебя....❤️❤️❤️❤️
2026-05-09 09:38:18
0
user2350503638005
Мария :
Благодарю 🥰🥰🥰🥰🥰🥰
2026-04-21 16:44:27
1
user6781016353835
Людмила :
спасибо большое обнимаю
2026-04-20 13:38:31
3
ninaninel556
ninaninel556 :
❤️Венера дарит любовьььь🥰❤️
2026-04-24 21:11:37
1
user9934288701186
Валентина Панова :
Зачем ты этово Сделал. Я не понимаю
2026-04-24 11:49:37
1
user30059270450387
Светлана Королькевич :
ГАРНОГО дня, чудового настрою 💕❤️🤗
2026-04-24 04:09:27
1
user95596847500078
Олена Борщик :
спасибо вам ❤️❤️
2026-04-21 08:05:16
0
nina45662
@Nina4566 :
Ангелочек ,пусть хорошие пожелания к тебе прилетают ,любви и счастья Я тебе желаю .☺️☺️☺️
2026-04-22 11:49:16
4
user18169448661484
Валя :
Удачи..тебе..Ангел
2026-04-24 14:02:56
0
user71594225378636
Екатерина Михайловна :
Да,да Дорогой Друг благодарю Тебя за прекрасный ролик очень Классное Видео просто Супервайзер Музыка КРАСИВАЯ 🌹 Хорошего отдыха сегодня вечером ❤️❤️❤️
2026-04-20 18:26:23
2
user3485053048697
ьТетяна Кугенко :
спаси🥰бо,ч о что.не.забываете!!🥰
2026-04-21 09:18:10
0
vktoria51
vіktoria :
Спасибо за что незабываеш Ия тебя целую в щёчки 🥰🥰🥰🥰🥰🥰
2026-04-30 19:13:14
0
galina.velikorod
Galina Velikorod :
благодарю от чистого❤️
2026-05-02 03:28:14
0
svetamacarenco
Sveta Macarenco :
привет
2026-06-01 12:01:03
0
user7767148211270
user7767148211270 :
Добрый день ! Замечательного тебе дня Хорошего настроения ! Спасибо за отличный ролик !😏😏😏
2026-05-30 11:06:14
0
v4075645u4l
Veronika :
я тоже😋
2026-04-21 08:34:17
0
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What do you mean oversized expensive shirt 2. * Dark & neutral color *: Black, navy, ash, olive = auto firm 3. * Neat from the ends of the hair *: Hair, nails, clean shoes. Messy = authority drop 4. * Not most accessories*: 1 watch is enough # # * Hashtag #BadDay Edition * If you want to post OOTD on a bad day but still authoritative: '#BerwibawaDuluBadDayKemudian #OutfitTegas #CleanLook #MenInBlack ' Want to be a version of hanging out, invitation, or campus? Just tell me the show, let me mix the right one." width="135" height="240">
What do you mean "authoritative guy outfit" for ngatasin_ bad day - yes? * Let me still look firm + confident even though again _ bad mood _, the key: simple, neat, and neutral color. Authoritative outfit = makes people auto reluctant. # # #*3 Formula Outfit Guys Authoritative Anti Bad Day * * 1. Smart Casual CEO Mode * Create college, work, or hang out but still respected - * Tops *: Plain oxford shirt navy, black, or white. Roll up the sleeves a little. - * Bottom *: Chino pants / ankle pants in khaki color, charcoal, or black. No torn. - * Shoes *: Loafers, chelsea boots, or pure white sneakers. - * Extra *: Leather / steel watch + sunglasses. * Vibes *: Calm but dominant. Bad day immediately step aside. * 2. Minimalist monochrome * The easiest but the effect is strong - * Tops *: Black crew neck / henley shirt fit on the body, do not oversize - * Bottom *: Black pants or black wash slim fit jeans - * Outer *: Overshirt or chore jacket matching color - * Shoes *: Boots or sneakers full black * Vibes *: Mysterious, focus, not much drama. * 3. Old Money Clean Look * Expensive look without big logo - * Top *: Polo shirt neat or linen shirt earth tone color: olive, cream, mocca - * Bottom *: Straight cut pants beige / off-white color - * Shoes *: White premium sneakers or penny loafers - * Extra *: Leather belt, smooth hair neat * Vibes *: Adult, classy, bad day so dare not disturb. # # # * Authoritative Key Let Bad Day Lose: * 1. * Fit is king *: Body fitting shirt > oversized expensive shirt 2. * Dark & neutral color *: Black, navy, ash, olive = auto firm 3. * Neat from the ends of the hair *: Hair, nails, clean shoes. Messy = authority drop 4. * Not most accessories*: 1 watch is enough # # * Hashtag #BadDay Edition * If you want to post OOTD on a bad day but still authoritative: '#BerwibawaDuluBadDayKemudian #OutfitTegas #CleanLook #MenInBlack ' Want to be a version of hanging out, invitation, or campus? Just tell me the show, let me mix the right one.
based tubers93 | If you tried to hold all the digits of **Graham’s number** in your head at once, your brain would literally collapse into a black hole. That isn't hyperbole. The amount of information required to represent the number is so massive that the maximum amount of entropy (or information) a brain-sized volume of space can hold would be completely overwhelmed. So, what exactly is this mind-melting number, and why does it exist? ## Where Did It Come From? Graham’s number was cooked up by mathematician Ronald Graham in the 1970s. He was working on a problem in **Ramsey theory**, a branch of math that looks for order in total chaos. The specific problem asked: *How many dimensions must a hypercube have to guarantee that if you connect all its vertices with blue and red lines, you will always find a single-colored flat slice (a complete graph) connecting four vertices?* Graham couldn't find the exact answer, but he proved that the answer had to be smaller than an upper bound. That upper bound is **Graham’s number**. > **Fun Fact:** While it held the Guinness World Record for the largest number ever used in a serious mathematical proof, it has since been surpassed by even bigger numbers like TREE(3). However, Graham's number remains the most famous. >  ## How Big Is It? (Spoiler: Regular Math Fails) We can't use standard notation to write Graham's number.  * Scientific notation (10^{100} for a Googol) is completely useless here.  * Writing a
based tubers93 | If you tried to hold all the digits of **Graham’s number** in your head at once, your brain would literally collapse into a black hole. That isn't hyperbole. The amount of information required to represent the number is so massive that the maximum amount of entropy (or information) a brain-sized volume of space can hold would be completely overwhelmed. So, what exactly is this mind-melting number, and why does it exist? ## Where Did It Come From? Graham’s number was cooked up by mathematician Ronald Graham in the 1970s. He was working on a problem in **Ramsey theory**, a branch of math that looks for order in total chaos. The specific problem asked: *How many dimensions must a hypercube have to guarantee that if you connect all its vertices with blue and red lines, you will always find a single-colored flat slice (a complete graph) connecting four vertices?* Graham couldn't find the exact answer, but he proved that the answer had to be smaller than an upper bound. That upper bound is **Graham’s number**. > **Fun Fact:** While it held the Guinness World Record for the largest number ever used in a serious mathematical proof, it has since been surpassed by even bigger numbers like TREE(3). However, Graham's number remains the most famous. > ## How Big Is It? (Spoiler: Regular Math Fails) We can't use standard notation to write Graham's number. * Scientific notation (10^{100} for a Googol) is completely useless here. * Writing a "1" and filling the entire observable universe with microscopic zeros wouldn't even scratch the surface. To build it, we have to use something called **Knuth’s up-arrow notation**, which is essentially math on steroids. ### The Up-Arrow Escalator Think of arrows as a way to supercharge arithmetic: 1. **Single Arrow (\uparrow):** This is just standard exponentiation. 2. **Double Arrow (\uparrow\uparrow):** This is a **power tower** of exponents, called tetration. You calculate from the top down. 3. **Triple Arrow (\uparrow\uparrow\uparrow):** This is a tower of power towers (pentation). This means a stack of 3s that is over 7.6 trillion levels high. This number is already vastly larger than the number of atoms in the universe. 4. **Quadruple Arrow (\uparrow\uparrow\uparrow\uparrow):** This is where we start building Graham's number. ## Constructing Graham's Number Graham’s number is built in 64 distinct steps, or layers. ### Layer 1 (g_1) We start with just four arrows, which mathematicians call g_1: This number is already so unfathomably massive that we cannot write it down, visualize it, or comprehend it. ### Layer 2 (g_2) Now, we take the *entirety* of g_1—a number larger than the universe—and use that value to dictate the **number of arrows** in the next layer. ### The Remaining Layers We repeat this process, using the previous layer to determine the number of arrows for the next layer, all the way down the line. | Layer | Number of Arrows | |---|---| | **g_1** | 4 | | **g_2** | g_1 arrows | | **g_3** | g_2 arrows | | \dots | \dots | | **g_{64}** | **Graham's Number** (g_{63} arrows) | **Graham's number is g_{64}.** --- ## The One Thing We Do Know Even though we can't comprehend the full number, mathematicians have managed to map out its final digits using modular arithmetic. We know it is an odd number, it is a multiple of 3, and its final ten digits are:

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