I now understand why Tyler was complaining about the fact he had to figure out how to push the boxes correctly his brain works on pure logic puzzles like a machine
@@Nick-tc9ps are you serious? Like every time he plays a sokoban game LOL. Most recently being that SquishCraft game. Which is fine, it's a fair complaint levied at those games when they need filler puzzles that don't just operate on pure logic.
@@Nick-tc9ps Patrick’s parabox and squishcraft are the most recent ones that come to mind, basically whenever he has to push boxes on a grid he doesn’t like it when there is an easy solution just executing it is hard
He is very smart, but it also helps that he cuts out a ton of the dead/thinking time, which is 10x the effort most TH-camrs are willing to go through. You can tell from the constant jump cuts. How much is being cut out? Unsure, but it for sure provides the illusion he is solving it faster than he actually is.
This is so relatable because every time I watch his videos I’m like how in the world did he get there like I didn’t even understand that at all but with other TH-camrs it’s like I’m 30 minutes ahead of them it’s crazy.
Imagine trying to use the calculator to cheat math test problem but it goes on fire and give you puzzle to solve your math problem... 😂 Twice the thinking time 😂
You could make little prop flames pop up from forbidden buttons and add a little heat element to make it just barely cold enough to not leave a burn on the user
This game is such an interesting way to turn literally doing math into play. I really want to find a way to integrate these puzzles into my math classes because I think they perfectly promote mathematical and critical thinking
In the last puzzle, (using ¥ as fork) For X¥Y, you were getting (Y*12)+(X-Y) I was getting (Y*10)+(X+Y) They both simplify down to (11*Y)+X but it’s funny how brains see different patterns in the things.
I saw that pattern in the same way as you just a bit before Tyler had his "Ah-ha!" moment. Always feels nice to catch the pattern before he does. Pretty sure it was the 7 Y 7 that gave it to me for sure, but I was feeling the "10X something something" for a few numbers by that point.
My brain first saw it as, for X¥Y, Y becomes the first digit and then the second digit is X+Y, but I felt like that must be needlessly over complicated or something, especially since it doesn’t account for when X+Y is greater than 10. It took until Tyler did 8¥8=96 that I realized that my brain was over complicating how multiplying by 11 works
In this episode, Aliensrock confirms he has seen addition before, and some other maths happens too ig (Loving this series, what a great idea for a game!)
12:09 There's a few reasons why, but the one that bugs me the least is defining the factorial function by the gamma function -1, which let's you factorial decimals and negatives and whatnot through the power of *integration* which defines 0! as 1.
He really solved the 7 puzzles that took me and my friends a combined 2 hours in 10 minutes. (Maybe a little more depending on how much of the footage was cut)
Man, I thought I was good at math but you are out here killing it. Like, why do you know so much? Can't wait to see more from this game. Keep up the great content
Just finished studying for my Calc 3 exam tomorrow and was hoping to unwind from so much complex math. I guess it’s time to dive even deeper instead lol
12:08 If I have 3 items, and I want to put them in different orders, there are 3! ways to arrange the numbers. If I have 0 items, then there is *1* way to arrange the 0 items. Thus, 0! = 1.
Here’s an explanation for 0! = 1. Factorial is not just n•(n-1)•…•3•2•1. It’s designed specifically for combinatorics so n! is the number of ways to organize a set with n elements. Easy example is the number of ways to rank 1st, 2nd, and 3rd in a competition with 3 competitors. There are 3 choices for 1st, now from the remaining players there are 2 choices for 2nd, then 1 choice for 3rd which gives 3•2•1 or 3! ways of organizing them, but what if your set is the empty set i.e. has no elements well there’s only 1 way to organize the rankings in that case so 0! = 1.
I think I could have gotten most of these with some time, but the combinations one was pretty crazy. Tyler’s pretty insane for recognizing that with no help.
I love logic and math, but I'm only just slightly above average in terms of actually using it for anything outside rudimentary tasks, so watching you do these gives me a lot of joy (and a bit of envy :P ). Keep it up!
My dream is for Tyler to one day partner with a game developer to make the best puzzle game the world has ever seen! He probably played enough of them to have a case study writen about him
@@TrendyGamer-is2wr Would also not utilize any visual cognition/directional puzzels since he dislikes those lol. I'm surprised he likes protal but dislikes directional logic puzzles.
14:28 love how everybody went for factorial or level 40 - a perfect square is your normal integer^2 but typically ppl look for ‘not divisible by a perfect square greater than 1’ because 1 is in fact a perfect square (as is 0)
i love how people told him that theres another calculator puzzle game and now he’s corrected to “the only calculator puzzle game on STEAM” also, this game looks really neat ive been having fun watching these videos even if i have no clue how he figures these out so fast
12:05 n! is the number of bijective functions f:S->S where |S| = n (number of permutations). So, 0! should count the number of bijective functions f:S->S where S is the empty set. There is precisely one such function, empty function, and it is automatically bijective being the inverse of itself. Therefore, 0! = 1.
I know very little about math because my brain was just too slow to really pick up on anything and slow on figuring stuff out but watching this game is surprisingly enjoyable
Hey, I know you usually don't do horror games, but It Steals is pretty good. It's a very short game with only 5 levels, and each level consists of collecting enough orbs while avoiding death. Each level has a unique enemy, and you have to figure out how the enemy works to beat the level. It would probably fit into two episodes, or one long one, as the game is quite short.
I have a good explanation for why 0!=1 that I taught to a maths teacher. When doing factorials, you're often taught that 1!=1, 2!=2, 3!=6, 4!=24, etc. However, if you work backwards, then 4!=5!/5=120/5=24, 3!=4!/4=24/4=6, 2!=3!/3=6/3=2, 1!=2!/2=2/2=1, then finally you get 0!=1!/1=1/1=1.
Tyler: [can remember numbers but not other things] us: [can't remember numbers to save our life cuz we have dyscalculia, but loving this video anyways]
I wanna point out, a simple way to think about the last puzzle is the second number x 10 + the the numbers added together. 9 Y (fork) 9 is 108, because it’s 90+18. His way of thinking IS correct, but just keep that in mind. It’s also why 2 Y 1 is 13, and 1 Y 2 is 23. Same inputs, different order, so different output.
For anybody wondering there was 1 whole positive solution to level 33. It was 70ψ78 The other solutions which involve negative numbers are -220ψ-224, -220ψ223, 0ψ-37, and 70ψ -79
21:27 I did not notice that pattern and thought you were wrong cuz I was noticing it's different pattern If its X fork Y First digit is Y, second digit is X+Y Also can be explained as 10Y + (X+Y) Which I'm pretty sure also works first digit is 100 making it 1000, second digit is 100(100+0) and add them which gives 1100
6:08 I've found a more neater and interesting answer. Using Y for fork, you can do 1 Y 11 Y 11 Y 11, which is literally all 1's. This means you could make all the other digits burning, and it would still be possible, though that would leave less room for experimentation. I wonder if there are other levels where you only need one type of digit to solve it.
0!=1 for the same reason 0^0=1, they are the products of no numbers at all. If the default value here were something other than 1, then including new numbers in the product would not always be as simple as multiplying the new numbers by what you already have. If the product of the numbers in the set {4,5} is 5 times the product of the numbers in the set {4}, then the product of the set {4} should be 4 times the product of the set {}. Declaring that there is some other default value would make any explanation of multiplication more complicated, with a footnote that must be applied to a definition that was already sound without it. 1 used to be considered a prime number, the only reason that changed is because mathematicians were tired of writing out "primes except for 1" almost every time they did anything with primes. Then they realized that if they let their attachment to one idea trump practicality, they're the only ones who pay for it. So the "except for 1" footnote was baked into the definition of primes and a lot of breath and ink have been saved since. You could define factorials as the gamma function shifted over by 1, with a random discontinuity at x=0 to make 0!=0 while the limit as x->0 is still clearly 1, but I think the kind of work people do with the function seems to beg us _not_ to do that, just like the majority of the work we do with primes begs us not to consider 1 a prime. As the zen of Python says, *special cases aren't special enough to break the rules.*
Factorial is how many ways you can arrange a set of n items. One item, one way. Two items, two ways. Three items, six ways. Zero items, one way - nothing.
12:09 0! (Zero factorial) is 1 because to go from 3! -> 2! you divide by 3. So (n!)/n = (n-1)! . Alternatively this is because n! = n * (n-1)! . This implies 1! = 1 * (0!) so that means 0!=1 Edit: someone else gave a nice combinatorics argument. Mine is a number theory argument.
So about 0! The explanation is this The formula for factorial is n!=n*(n-1)! Thus 1!=1*(1-1)! So 1!=1*0! And 0! Must be 1, there is a great video about factorial and negative factorial
Level 31 can be simplified to 9 Ψ 74. 666+5=671 671 is divisible by 3 (which would get us to 223, which we can't use since 3 is on fire), and thus 9 as well 671/9 = 74
For 19:49 I saw the fork function as (sum of both numbers) + (second number x 10). Unsure which of us is right though because fuck if I can follow the heavier base-based math.
You’re both right Suppose X is the first number and Y is the second number 12Y + (X-Y) = 10Y + (X+Y) = 11Y + X because you can say it as X + 12Y - Y or X + 10Y + Y or X + 11Y
To anyone (all zero of you) wondering, 0 factorial is 1 because under multiplication, 1 is the identity element, that is, multiply any number by 1, and you get itself. It is thus considered the “default state” of numbers under multiplication. x! multiplies the first x natural numbers, so 0! Should be multiplying the first 0 natural numbers. This is where that “default state” comes in. Take a number such as 2. 2*0! Is 2 multiplied by the first 0 natural numbers, which should just be 2. You aren’t multiplying by anything, so the answer is two, which would imply that 0! is 1, even when taken alone.
Ok I'm coming up with a non algebraic solution for puzzle 40. Specifically, take the two numbers and add them together, and then take the second number and put it in front, but you overlap the app but the first digit of the second number with all but the last digit of the sum. So 2¥4 is (second number: 4)(added together 2+4=6) is 46, 11¥10 is (second number: 10)(added together 11+10=21) and then add the 0 in 10 to the 2 in 21 to get 121.
21:49 I think an easier equation would be the 2nd number *10 + (1st number + 2nd number) I would have never gotten what Tyler got, his brain is too complex for me
This makes me feel smarter even though I have no idea what's happening. It sucks too that I don't understand because I use basic algebraic equations on a daily basis for my job
I now understand why Tyler was complaining about the fact he had to figure out how to push the boxes correctly his brain works on pure logic puzzles like a machine
When did he complain about pushing boxes?
@@Nick-tc9ps are you serious? Like every time he plays a sokoban game LOL. Most recently being that SquishCraft game. Which is fine, it's a fair complaint levied at those games when they need filler puzzles that don't just operate on pure logic.
Tyler is the only robot with personality
@@Nick-tc9ps Patrick’s parabox and squishcraft are the most recent ones that come to mind, basically whenever he has to push boxes on a grid he doesn’t like it when there is an easy solution just executing it is hard
Wrong vid dude
Tylor has such massive brain, other youtubers lags behind the viewer, but here, the viewer lags behind him.
He is very smart, but it also helps that he cuts out a ton of the dead/thinking time, which is 10x the effort most TH-camrs are willing to go through.
You can tell from the constant jump cuts. How much is being cut out? Unsure, but it for sure provides the illusion he is solving it faster than he actually is.
@@pauledwards2052 I gotta be honest, I do not notice any jump cuts usually. I just assumed he actually thinks this fast.
Unless you are on the same wave length then yes this is true
This is so relatable because every time I watch his videos I’m like how in the world did he get there like I didn’t even understand that at all but with other TH-camrs it’s like I’m 30 minutes ahead of them it’s crazy.
@@pauledwards2052 Agree
As a Math Undergraduate Student, it's astounding how fast you get these
It's cut together to reduce dead time, but it's still very impressive
Tyler was my maths professor 🤣
I'm surprised more people aren't aware of his math proficiency, in our city he was basically considered a prodigy.
My excuse for getting them fast is I'm just autistic lmao
@@grease7425 based
@@footstol66 fr?
Absolutely crazy how Tyler’s massive brain can figure these things out so easily.
I hope they eventually sell this on an actual calculator. Would be sick.
Imagine trying to use the calculator to cheat math test problem but it goes on fire and give you puzzle to solve your math problem... 😂 Twice the thinking time 😂
You could stimulate the forbidden/flaming buttons easily. But it would be cooler if they actually made them untouchably hot
You could make little prop flames pop up from forbidden buttons and add a little heat element to make it just barely cold enough to not leave a burn on the user
and I would 666% prank someone with it
At least it’d have a link to Wolfram Alpha!
This game is such an interesting way to turn literally doing math into play. I really want to find a way to integrate these puzzles into my math classes because I think they perfectly promote mathematical and critical thinking
-heh, integrate-
As someone who loves math, this series is incredible
take my engineering math class for me
As someone who loves meth, this series is incredible
yeah i do love this
Amen.
4:17 fermat’s last theorem
Me when heavenly calculator comes out: ✝️
You when.
When the church declares the calculator war
⛪
@@Rev_Erser when
When I got here it said "Me when"
@@Blynded when the pope gets ousted for a calculator scandal 🔥💀
How is this cursed? This is exactly how my calculator works in every math test.
So your teacher is a Demon and the tests involve you trying to make 666 on a calculator through various functions?
In the last puzzle, (using ¥ as fork) For X¥Y, you were getting (Y*12)+(X-Y)
I was getting (Y*10)+(X+Y)
They both simplify down to (11*Y)+X but it’s funny how brains see different patterns in the things.
I saw that pattern in the same way as you just a bit before Tyler had his "Ah-ha!" moment. Always feels nice to catch the pattern before he does. Pretty sure it was the 7 Y 7 that gave it to me for sure, but I was feeling the "10X something something" for a few numbers by that point.
I got it the same way you did. It is interesting to see how people arrive at the same place using different methods.
Same method as you. Realized it in 7¥7
My brain first saw it as, for X¥Y, Y becomes the first digit and then the second digit is X+Y, but I felt like that must be needlessly over complicated or something, especially since it doesn’t account for when X+Y is greater than 10. It took until Tyler did 8¥8=96 that I realized that my brain was over complicating how multiplying by 11 works
@@purpleluckxd371 I got the same conclusion as you
In this episode, Aliensrock confirms he has seen addition before, and some other maths happens too ig
(Loving this series, what a great idea for a game!)
12:09
There's a few reasons why, but the one that bugs me the least is defining the factorial function by the gamma function -1, which let's you factorial decimals and negatives and whatnot through the power of *integration* which defines 0! as 1.
He really solved the 7 puzzles that took me and my friends a combined 2 hours in 10 minutes. (Maybe a little more depending on how much of the footage was cut)
Didn't expect to be reminded how combinations work going into this video, but here we are
Honestly
i had just forgot them lmao
Man, I thought I was good at math but you are out here killing it. Like, why do you know so much? Can't wait to see more from this game. Keep up the great content
Editing magic😂
thanks for the clarification on the claim at the start of the video
Just finished studying for my Calc 3 exam tomorrow and was hoping to unwind from so much complex math. I guess it’s time to dive even deeper instead lol
someone tell me why i thoroughly enjoy this despite hating doing math
cuz ur not doin math he is
The skill of it is what is so appealing, not the subject
youre not the one doing math
You didn't think math was cool when you were young prolly
Because being forced to do something is pain but choosing to do it is fun
For the last puzzle, fork is also the 2nd number times 10 plus the 2 numbers added together.
12:08 If I have 3 items, and I want to put them in different orders, there are 3! ways to arrange the numbers. If I have 0 items, then there is *1* way to arrange the 0 items. Thus, 0! = 1.
Here’s an explanation for 0! = 1. Factorial is not just n•(n-1)•…•3•2•1. It’s designed specifically for combinatorics so n! is the number of ways to organize a set with n elements. Easy example is the number of ways to rank 1st, 2nd, and 3rd in a competition with 3 competitors. There are 3 choices for 1st, now from the remaining players there are 2 choices for 2nd, then 1 choice for 3rd which gives 3•2•1 or 3! ways of organizing them, but what if your set is the empty set i.e. has no elements well there’s only 1 way to organize the rankings in that case so 0! = 1.
4:17 fermat’s last theorem
I think I could have gotten most of these with some time, but the combinations one was pretty crazy. Tyler’s pretty insane for recognizing that with no help.
I love logic and math, but I'm only just slightly above average in terms of actually using it for anything outside rudimentary tasks, so watching you do these gives me a lot of joy (and a bit of envy :P ). Keep it up!
My dream is for Tyler to one day partner with a game developer to make the best puzzle game the world has ever seen! He probably played enough of them to have a case study writen about him
The only problem is his puzzle game would probs be far too hard for any of us mortals
@@TrendyGamer-is2wr Would also not utilize any visual cognition/directional puzzels since he dislikes those lol. I'm surprised he likes protal but dislikes directional logic puzzles.
love this series but I am completely lost lol
Fun fact: If you have a calculator and put the number 0.7734 and turn it upside down it will say hello as same in the thumbnail
I'm learning more from this game an Tyler than I've learned from school in the past 5 years.
14:28 love how everybody went for factorial or level 40 - a perfect square is your normal integer^2 but typically ppl look for ‘not divisible by a perfect square greater than 1’ because 1 is in fact a perfect square (as is 0)
tyler has an iq of 666 with how he does the logic on these puzzles my lord
My brain started melting after 10 minutes of watching this help
holy crud. that last puzzle and the constant base calculations on the fly are insane. I can't believe the dev patched out some solutions too LUL
i love how people told him that theres another calculator puzzle game and now he’s corrected to “the only calculator puzzle game on STEAM”
also, this game looks really neat ive been having fun watching these videos even if i have no clue how he figures these out so fast
super glad that you're continuing this game despite that my math skills are actually terrible
you could probably use M1, M2, and M3 to save values you need
edit: nvm it tells you
Loving this series and I can't help but notice the black space between the fork and equals. Third symbol in the future?
12:05 n! is the number of bijective functions f:S->S where |S| = n (number of permutations). So, 0! should count the number of bijective functions f:S->S where S is the empty set. There is precisely one such function, empty function, and it is automatically bijective being the inverse of itself. Therefore, 0! = 1.
I know very little about math because my brain was just too slow to really pick up on anything and slow on figuring stuff out but watching this game is surprisingly enjoyable
I have absolutely no idea how you get these in the slightest but its entertaining nonetheless. Love watching you work.
Hey, I know you usually don't do horror games, but It Steals is pretty good. It's a very short game with only 5 levels, and each level consists of collecting enough orbs while avoiding death. Each level has a unique enemy, and you have to figure out how the enemy works to beat the level. It would probably fit into two episodes, or one long one, as the game is quite short.
You talent for pattern recognition is amazing. It's probably why you're such a good bloons player.
Wait where is pattern recognition used in that game?
Imagine not being cursed
I’m not surprised since it’s aliens rock, but I’m still surprised how entertaining a guy doing math problems can be
There's something surprisingly entertaining about watching Tyler do math.
who knew a game with just a calculator would be so interesting.
I have a good explanation for why 0!=1 that I taught to a maths teacher.
When doing factorials, you're often taught that 1!=1, 2!=2, 3!=6, 4!=24, etc. However, if you work backwards, then 4!=5!/5=120/5=24, 3!=4!/4=24/4=6, 2!=3!/3=6/3=2, 1!=2!/2=2/2=1, then finally you get 0!=1!/1=1/1=1.
0! = 1 because of the rules of factorial, where n! = n*(n-1)!, meaning n!/n = (n-1)!. Plugging in 1 for n we get 1!/1 = 0!, and 1!/1 is trivially 1.
For n=0
0! = 0* -1!
Apply 0!=1
1 = 0*-1!
Apply 0*anything = 0
1 = 0
This is one of those games that I would never dare touch, but it's very fun to see someone play it who gets it lol
His pattern recognition is on another level
Oh, I get it now. Those "Calculator the game" games aren't on steam. Thanks, Tyler.
Pro Office Calculator is sad
Me figuring out level 40 before tyler: im a genius!
Me on any other level: yeah he'll figure it out I give up
Tyler: [can remember numbers but not other things]
us: [can't remember numbers to save our life cuz we have dyscalculia, but loving this video anyways]
I misread calculator as calendar and now I want to see a calendar puzzle game, though idk if there is one or how one would function.
Sure there’s a calendar puzzle game. It’s called persona.
Sending love to the editor ! I hope they're not disgusted by maths...
❤️❤️
I wanna point out, a simple way to think about the last puzzle is the second number x 10 + the the numbers added together. 9 Y (fork) 9 is 108, because it’s 90+18. His way of thinking IS correct, but just keep that in mind. It’s also why 2 Y 1 is 13, and 1 Y 2 is 23. Same inputs, different order, so different output.
21:40 - I saw it as 2nd on the decimals + the sum pretty fast actually
For anybody wondering there was 1 whole positive solution to level 33.
It was 70ψ78
The other solutions which involve negative numbers are -220ψ-224, -220ψ223, 0ψ-37, and 70ψ -79
All this game has taght me is how much math Tyler knows
21:27 I did not notice that pattern and thought you were wrong cuz I was noticing it's different pattern
If its X fork Y
First digit is Y, second digit is X+Y
Also can be explained as 10Y + (X+Y)
Which I'm pretty sure also works first digit is 100 making it 1000, second digit is 100(100+0) and add them which gives 1100
6:08 I've found a more neater and interesting answer. Using Y for fork, you can do 1 Y 11 Y 11 Y 11, which is literally all 1's. This means you could make all the other digits burning, and it would still be possible, though that would leave less room for experimentation. I wonder if there are other levels where you only need one type of digit to solve it.
21:29 I tested the following here, which also seems true: Second number times 10, then add sum of both numbers.
Which, coming to think of it more, is pretty much what you have, just a bit simplified maybe.
So 17⩛59 should also work?
How are you so good at math?!?! Wtf?!?!
Maybe that’s my dyscalculia talking but good lord XD
Multiplying by 12 and then subtracting 1 unit away is also known as MULTIPLYING BY 11!!
DEMONIC CALCULATOR.
20:40 fork means the second number times 10 then add the first and second numbers together
It's an easy explanation for whatever Tyler was thinking
The numer twelve has returned to haunt Tyler once again.
man this is way to big brain for me
12:08 I think the reason that 0! = 1 is actually really very reasonable: n! = n((n-1)!), so 1! = 1(0!) = 1, and therefore 0! = 1
The reason 0! = 1 is because an ordered set with 0 elements can be arranged in exactly 1 way
I thought I like math, turns out my brain's a piece of doodoo
0!=1 for the same reason 0^0=1, they are the products of no numbers at all. If the default value here were something other than 1, then including new numbers in the product would not always be as simple as multiplying the new numbers by what you already have.
If the product of the numbers in the set {4,5} is 5 times the product of the numbers in the set {4}, then the product of the set {4} should be 4 times the product of the set {}. Declaring that there is some other default value would make any explanation of multiplication more complicated, with a footnote that must be applied to a definition that was already sound without it.
1 used to be considered a prime number, the only reason that changed is because mathematicians were tired of writing out "primes except for 1" almost every time they did anything with primes. Then they realized that if they let their attachment to one idea trump practicality, they're the only ones who pay for it. So the "except for 1" footnote was baked into the definition of primes and a lot of breath and ink have been saved since.
You could define factorials as the gamma function shifted over by 1, with a random discontinuity at x=0 to make 0!=0 while the limit as x->0 is still clearly 1, but I think the kind of work people do with the function seems to beg us _not_ to do that, just like the majority of the work we do with primes begs us not to consider 1 a prime.
As the zen of Python says, *special cases aren't special enough to break the rules.*
21:31 10*(higher number)+x+y also works
21:49 i interpreted it as the second number times 10, then the sum of the first and second number added to it
So x(result) = (s*10)+(s+f)
Yeah I was going to say the same thing. He is basically doing (s*12)-(s+f) which is the same as s*11+f and also equal to what you said.
I'm loving these. I'm just a bit slower than Tyler at figuring out the functions, but sometimes I get there first.
the only youtuber I watch who loves math just as much as me. pretty gigachad moment
God, Tyler has a TI-nspire CX II in that noggin of his. Logic to the core.
Factorial is how many ways you can arrange a set of n items. One item, one way. Two items, two ways. Three items, six ways. Zero items, one way - nothing.
0!=1 is just a convention that makes sense. Like for all defined factorial values (n+1)! = n! * (n+1) and when you plug in n=0 you get 1!=0!*1 => 0!=1
12:09
0! (Zero factorial) is 1 because to go from 3! -> 2! you divide by 3. So (n!)/n = (n-1)! . Alternatively this is because n! = n * (n-1)! . This implies 1! = 1 * (0!) so that means 0!=1
Edit: someone else gave a nice combinatorics argument. Mine is a number theory argument.
So about 0! The explanation is this
The formula for factorial is n!=n*(n-1)!
Thus 1!=1*(1-1)! So 1!=1*0! And 0! Must be 1, there is a great video about factorial and negative factorial
Yeah, i already know this is a "hmmm well actually"
Level 31 can be simplified to 9 Ψ 74.
666+5=671
671 is divisible by 3 (which would get us to 223, which we can't use since 3 is on fire), and thus 9 as well
671/9 = 74
Tyler returning to his math roots
I'm just waiting for the third funky button to have 1 input and two outputs.
Your brain is fucking gigantic, this is astounding, I don't understand anything but thanks for making my half hour :)
For 19:49 I saw the fork function as (sum of both numbers) + (second number x 10). Unsure which of us is right though because fuck if I can follow the heavier base-based math.
You’re both right
Suppose X is the first number and Y is the second number
12Y + (X-Y) = 10Y + (X+Y) = 11Y + X
because you can say it as
X + 12Y - Y or X + 10Y + Y or X + 11Y
To anyone (all zero of you) wondering, 0 factorial is 1 because under multiplication, 1 is the identity element, that is, multiply any number by 1, and you get itself. It is thus considered the “default state” of numbers under multiplication. x! multiplies the first x natural numbers, so 0! Should be multiplying the first 0 natural numbers. This is where that “default state” comes in. Take a number such as 2. 2*0! Is 2 multiplied by the first 0 natural numbers, which should just be 2. You aren’t multiplying by anything, so the answer is two, which would imply that 0! is 1, even when taken alone.
It'd be nice to have Tyler's brain power when I was still in school lol. Those big brain moves are why I'm a subscriber.
I think the first one was: divide both by 2 the merge together, as one multiply the first by 10 then add to the other.
What the hell why is this so fun to watch
🅱️ursed 🅱️alculator
Ok I'm coming up with a non algebraic solution for puzzle 40. Specifically, take the two numbers and add them together, and then take the second number and put it in front, but you overlap the app but the first digit of the second number with all but the last digit of the sum. So 2¥4 is (second number: 4)(added together 2+4=6) is 46, 11¥10 is (second number: 10)(added together 11+10=21) and then add the 0 in 10 to the 2 in 21 to get 121.
I never really got into math, but if this was how I learned it, I'd be a math genius... Or I'd be drooling while staring out the window. 🤣
14:17 yeah, of course 173 not divisible by no perfect square other than 1! It's prime!
21:49 I think an easier equation would be the 2nd number *10 + (1st number + 2nd number)
I would have never gotten what Tyler got, his brain is too complex for me
Please tell me there are cuts in this video the mental math is blowing my mind
the fork in level 40 is also both numbers added together plus the second number times 10
Good gravy, this man is a genius.
tyler i feel like in an age of sword and war you would be a fucking crazy war strategist or a philosopher
I am learning math stuff above my level from this. Thank you tyler.
This makes me feel smarter even though I have no idea what's happening. It sucks too that I don't understand because I use basic algebraic equations on a daily basis for my job