@kelsie_wieland: i will be repurchasing this bundle 100%

kelsie wieland
kelsie wieland
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Friday 31 July 2026 23:19:54 GMT
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blairtaylor92
Blair | First Time Mama :
What Dr Groot products
2026-08-03 16:23:16
0
shears74
Karla :
Seriously though, your hair looks freaking amazing!
2026-08-01 00:02:58
19
bbritbritney
B Brit Britney :
Obsessed with the short hair so much on you !
2026-08-04 15:08:10
0
justgina420
justgina420 :
Looks so good
2026-07-31 23:23:27
4
mmp3330
Morgan Marie :
What’s the bundle ? I don’t see anything linked in the video.
2026-08-01 13:07:23
7
stephaniemariekrzl
Stephanie Marie :
Looks so good queen
2026-08-01 14:33:21
0
claudiagaspar69
Claudia 🐮🌹 :
omgahhh its soo cute you look beautiful 😍
2026-08-02 00:08:50
0
kris_fit82
Kristin :
Is it safe to use on colored treated hair?
2026-08-02 01:26:32
0
gothmami_01
Chelsea Barnes ALT MAMI :
Been. Game changer for my hair as well. I love that oil
2026-08-03 00:53:20
0
oaklee97
Oaklee Heinz :
It looks so beautiful 😍
2026-07-31 23:25:12
0
kammiejones
Kammiejones :
Love the hair babes
2026-08-01 18:12:25
0
bobbijoschl7
bobbi jo schlegel :
Where’s it linked can someone tell me?
2026-08-01 15:42:39
0
_emmyems
EMZ🌻 :
It looks so healthy & bouncy babe 😍
2026-08-01 04:02:49
3
daniellepalosi
Danielle :
I think going to Rachel (I think that’s her name) for extensions helped. She’s so good. But seriously that’s a good 4 inches of growth at least! You go girl!
2026-07-31 23:26:52
3
leeannortega
Lee 4nn Ortega 🫧 :
Please show us what kind haircut you got it’s Gorge ✨✨✨✨🫰🏻
2026-07-31 23:45:24
2
midwestsrt1
Midwestsrt :
Nothing is linked on the video 😅
2026-08-01 22:21:22
1
marrisa_wantroba
marrisa.ann.beauty :
Stunning
2026-08-02 15:23:51
0
paige3143
Paige💕 :
What bundle queen ..I can’t see because I’m out of the country 🥹🥹🥹
2026-08-01 01:51:56
2
summerlove710
SummerLove💚 :
your hair looks amazing but I haven't had a real haircut in almost 14 years... lol
2026-08-04 23:08:22
0
casxbass
Cassie Bass :
ur hair looks amazing! this makes me wanna cut my hair!
2026-08-01 13:09:58
0
shantaniaaaa
Shanti | Boy Mama 🤍 :
We lost the stress ✨✨
2026-08-01 01:06:57
3
nikkizingsheim
Socpeatree29 :
Ahhhhhhhh ur hair looks great per the usual but healthy hair 👌👌
2026-08-01 02:36:25
0
hunterr_c5
Hunterracquel :
😍😍
2026-08-01 03:34:33
0
To see more videos from user @kelsie_wieland, please go to the Tikwm homepage.

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Graham’s number is one of the most famous extremely large numbers in mathematics. It became famous because it is so enormous that ordinary ways of writing numbers are completely inadequate for representing it. Even though it is unimaginably large, it is still a finite number, meaning that it has a definite value and is not infinity. The number was named after mathematician Ronald Graham, who used it in a problem involving a branch of mathematics called Ramsey theory. The problem that led to Graham’s number concerns combinatorics and geometry. Without going into all the complicated mathematics, the basic idea involves arranging points in a very high-dimensional space and considering different ways of connecting or coloring those points. Mathematicians wanted to know how large a structure was guaranteed to contain a particular pattern. Graham’s number appeared as an upper bound in an attempt to answer this question. To understand why Graham’s number is so huge, it helps to understand how mathematicians normally build large numbers. Multiplication is repeated addition: 5 \times 5 means adding five five times. Exponentiation is repeated multiplication: 5^5 means multiplying five by itself five times. But mathematicians can continue this idea with even more powerful operations, creating numbers vastly larger than ordinary exponentials. Graham’s number uses a system called Knuth’s up-arrow notation. In this notation, one arrow represents exponentiation. For example, 3\uparrow3 means 3^3, which equals 27. Two arrows represent a much more powerful operation called tetration. For example, 3\uparrow\uparrow3 means 3^{3^3}, which is already enormous compared with 27. The remarkable thing is that Graham’s number doesn’t just use a few arrows. Its definition involves enormous numbers of arrows, and those numbers of arrows themselves become extraordinarily large. The process is repeated many times, with each step using the result of the previous step to construct an even more enormous expression. The formal definition begins with a sequence of numbers. The first number, usually called g_1, is defined using three up-arrows between two 3s. The next number, g_2, uses the previous number g_1 as the number of arrows between two 3s. Then g_3 uses g_2 arrows, and this process continues. This process is repeated for 64 steps. The final number, g_{64}, is what is known as Graham’s number. The incredible part is that even the very first number in this sequence is already far beyond ordinary comprehension. By the time the process reaches the later stages, the numbers involved are unimaginably larger still. Graham’s number is so large that even if you tried to write its decimal digits, there would not be enough physical space in the observable universe to do so. In fact, even the number of digits in some of the intermediate numbers is itself far too large to write down normally. This doesn’t mean the number is meaningless; mathematics can define and work with enormous numbers without listing every digit. Interestingly, mathematicians have been able to determine some information about the last digits of Graham’s number using mathematical techniques. For example, its final digits are known even though the complete decimal expansion is impossible to write out. This demonstrates that knowing certain properties of a number doesn’t require actually writing down the entire number. Finally, Graham’s number is famous because it shows how powerful mathematical notation can be. Numbers like a million, a billion, or even a googol are tiny compared with it. Yet Graham’s number is still finite and precisely defined. It is not the largest possible number—mathematicians can define numbers vastly larger than Graham’s number—but it remains one of the most famous examples of an extraordinarily large number arising from a genuine mathematical problem. #brenton #51#fyp#viral
Graham’s number is one of the most famous extremely large numbers in mathematics. It became famous because it is so enormous that ordinary ways of writing numbers are completely inadequate for representing it. Even though it is unimaginably large, it is still a finite number, meaning that it has a definite value and is not infinity. The number was named after mathematician Ronald Graham, who used it in a problem involving a branch of mathematics called Ramsey theory. The problem that led to Graham’s number concerns combinatorics and geometry. Without going into all the complicated mathematics, the basic idea involves arranging points in a very high-dimensional space and considering different ways of connecting or coloring those points. Mathematicians wanted to know how large a structure was guaranteed to contain a particular pattern. Graham’s number appeared as an upper bound in an attempt to answer this question. To understand why Graham’s number is so huge, it helps to understand how mathematicians normally build large numbers. Multiplication is repeated addition: 5 \times 5 means adding five five times. Exponentiation is repeated multiplication: 5^5 means multiplying five by itself five times. But mathematicians can continue this idea with even more powerful operations, creating numbers vastly larger than ordinary exponentials. Graham’s number uses a system called Knuth’s up-arrow notation. In this notation, one arrow represents exponentiation. For example, 3\uparrow3 means 3^3, which equals 27. Two arrows represent a much more powerful operation called tetration. For example, 3\uparrow\uparrow3 means 3^{3^3}, which is already enormous compared with 27. The remarkable thing is that Graham’s number doesn’t just use a few arrows. Its definition involves enormous numbers of arrows, and those numbers of arrows themselves become extraordinarily large. The process is repeated many times, with each step using the result of the previous step to construct an even more enormous expression. The formal definition begins with a sequence of numbers. The first number, usually called g_1, is defined using three up-arrows between two 3s. The next number, g_2, uses the previous number g_1 as the number of arrows between two 3s. Then g_3 uses g_2 arrows, and this process continues. This process is repeated for 64 steps. The final number, g_{64}, is what is known as Graham’s number. The incredible part is that even the very first number in this sequence is already far beyond ordinary comprehension. By the time the process reaches the later stages, the numbers involved are unimaginably larger still. Graham’s number is so large that even if you tried to write its decimal digits, there would not be enough physical space in the observable universe to do so. In fact, even the number of digits in some of the intermediate numbers is itself far too large to write down normally. This doesn’t mean the number is meaningless; mathematics can define and work with enormous numbers without listing every digit. Interestingly, mathematicians have been able to determine some information about the last digits of Graham’s number using mathematical techniques. For example, its final digits are known even though the complete decimal expansion is impossible to write out. This demonstrates that knowing certain properties of a number doesn’t require actually writing down the entire number. Finally, Graham’s number is famous because it shows how powerful mathematical notation can be. Numbers like a million, a billion, or even a googol are tiny compared with it. Yet Graham’s number is still finite and precisely defined. It is not the largest possible number—mathematicians can define numbers vastly larger than Graham’s number—but it remains one of the most famous examples of an extraordinarily large number arising from a genuine mathematical problem. #brenton #51#fyp#viral

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