Explanation: Okay.... Hmmm. Let's throw a few examples out there.
(Note: In this, we assume that 0 does not count as a positive integer.)
In which a,b, and c must be positive integers, X is shorthand for at least 3 positive integers, and Y is shorthand for at least 1 positive integer.
DN(a) = a
DN(a,1) = DN(a+1)
DN(a,b) = DN(a+1,b-1)
DN(a,b,1) = DN(a,b)
DN(a,1,c) = DN(a)
DN(a,b,c) = DN(a,DN(a,b-1,c),c-1)
DN( X ,1) = DN( X )
DN(1, X ) = DN( X )
DN( X ,1, Y) = DN( X , Y )
DN( Y ,a,b,c) = DN( Y ,a,DN( Y , a,b-1,c),c-1)
DN(a,b,1) = a+b
DN(a,b,2) = a+a+...+a+a = a*b
DN(a,b,3) = a*a*...*a*a = a^b
DN(a,b,c) = a^^...^^b with c-2 ^'s
DN(10,10,10,x,2) < G(x)
DN(10,10,10,x,3) < G(x,x)
DN(10,10,10,10,10,2) = Very big compared to G(1000,1000)
Advice: It's not enough to have only one argument, or two, or three, your function has to be able to take any number of arguments. When I say arguments, I really mean numbers. A 2-argument function is f(a,b) = a+b. A five-argument function is f(a,b,c,d,e) = a+(b*(c^(d^^e))). A function that can take any number of arguments is f(a,b,c...) = All the inputs multiplied together. After that, you'll want to extend the function somehow. Make a second leap like going from 3 arguments to as many arguments as you want. Then, find some way to make as many of those leaps as you want. That's the first super-leap. DN( X |^a Y) was my first super-leap. Then, make a leap beyond that. For me, that was < Y ,a>. I'm currently working on the second super-leap, but I don't know where to go from there.
Gonna go in for another one-up. From now on, I will ALWAYS try to one-up if I simple enough.
(<4,4,4,4,10000>+9)!
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[Avatar] David, from my cancelled RPG
[Status] "I tried to save you... but instead I got you killed."
Very important news below.
I have forgotten my passwords to my other two accounts. Since the power went out yesterday, two of the computers I use have logged me out, and I have forgotten my names to those Twitch accounts as well. So, from now on, this will be my main account. Thank you for reading.
[Status] "I tried to save you... but instead I got you killed."
Very important news below.
I have forgotten my passwords to my other two accounts. Since the power went out yesterday, two of the computers I use have logged me out, and I have forgotten my names to those Twitch accounts as well. So, from now on, this will be my main account. Thank you for reading.
[Status] "I tried to save you... but instead I got you killed."
Very important news below.
I have forgotten my passwords to my other two accounts. Since the power went out yesterday, two of the computers I use have logged me out, and I have forgotten my names to those Twitch accounts as well. So, from now on, this will be my main account. Thank you for reading.
[Status] "I tried to save you... but instead I got you killed."
Very important news below.
I have forgotten my passwords to my other two accounts. Since the power went out yesterday, two of the computers I use have logged me out, and I have forgotten my names to those Twitch accounts as well. So, from now on, this will be my main account. Thank you for reading.
Say something silly, Laugh 'til it hurts, Take a risk, Sing out loud, Rock the boat, Shake things up, Flirt with disaster, Buy something frivolous, Color outside the lines, Cause a scene, Order dessert, Make waves, Get carried away, Have a great day!
Say something silly, Laugh 'til it hurts, Take a risk, Sing out loud, Rock the boat, Shake things up, Flirt with disaster, Buy something frivolous, Color outside the lines, Cause a scene, Order dessert, Make waves, Get carried away, Have a great day!
Say something silly, Laugh 'til it hurts, Take a risk, Sing out loud, Rock the boat, Shake things up, Flirt with disaster, Buy something frivolous, Color outside the lines, Cause a scene, Order dessert, Make waves, Get carried away, Have a great day!
<2,2,2,2,100>+2
Well, maybe if you showed us how to make new functions, and how to understand old ones, we would actually have fun!
Explanation: Okay.... Hmmm. Let's throw a few examples out there.
(Note: In this, we assume that 0 does not count as a positive integer.)
In which a,b, and c must be positive integers, X is shorthand for at least 3 positive integers, and Y is shorthand for at least 1 positive integer.
DN(a) = a
DN(a,1) = DN(a+1)
DN(a,b) = DN(a+1,b-1)
DN(a,b,1) = DN(a,b)
DN(a,1,c) = DN(a)
DN(a,b,c) = DN(a,DN(a,b-1,c),c-1)
DN( X ,1) = DN( X )
DN(1, X ) = DN( X )
DN( X ,1, Y) = DN( X , Y )
DN( Y ,a,b,c) = DN( Y ,a,DN( Y , a,b-1,c),c-1)
DN(a,b,1) = a+b
DN(a,b,2) = a+a+...+a+a = a*b
DN(a,b,3) = a*a*...*a*a = a^b
DN(a,b,c) = a^^...^^b with c-2 ^'s
DN(10,10,10,x,2) < G(x)
DN(10,10,10,x,3) < G(x,x)
DN(10,10,10,10,10,2) = Very big compared to G(1000,1000)
Advice: It's not enough to have only one argument, or two, or three, your function has to be able to take any number of arguments. When I say arguments, I really mean numbers. A 2-argument function is f(a,b) = a+b. A five-argument function is f(a,b,c,d,e) = a+(b*(c^(d^^e))). A function that can take any number of arguments is f(a,b,c...) = All the inputs multiplied together. After that, you'll want to extend the function somehow. Make a second leap like going from 3 arguments to as many arguments as you want. Then, find some way to make as many of those leaps as you want. That's the first super-leap. DN( X |^a Y) was my first super-leap. Then, make a leap beyond that. For me, that was < Y ,a>. I'm currently working on the second super-leap, but I don't know where to go from there.
<2,2,2,2,100>+3
Gonna go in for another one-up. From now on, I will ALWAYS try to one-up if I simple enough.
(<4,4,4,4,10000>+9)!
[Avatar] David, from my cancelled RPG
[Status] "I tried to save you... but instead I got you killed."
Very important news below.
I have forgotten my passwords to my other two accounts. Since the power went out yesterday, two of the computers I use have logged me out, and I have forgotten my names to those Twitch accounts as well. So, from now on, this will be my main account. Thank you for reading.
(<16,16,16,16,40000>+81)!*999999999!
[Avatar] David, from my cancelled RPG
[Status] "I tried to save you... but instead I got you killed."
Very important news below.
I have forgotten my passwords to my other two accounts. Since the power went out yesterday, two of the computers I use have logged me out, and I have forgotten my names to those Twitch accounts as well. So, from now on, this will be my main account. Thank you for reading.
(<16,16,16,16,40000>+81)!^1000000000000000000000000000000000000000000000000000000000000000000000000000000000000!
Overkill is is not prohibited here, so here’s the number I go for the one-up with.
You think that's one-upping? It's not. It's just a pointless salad number with no elegance.
<3,3,3,3,45000>
<3,3,3,3,45000>*3
<27,27,27,27,925000>*27!
[Avatar] David, from my cancelled RPG
[Status] "I tried to save you... but instead I got you killed."
Very important news below.
I have forgotten my passwords to my other two accounts. Since the power went out yesterday, two of the computers I use have logged me out, and I have forgotten my names to those Twitch accounts as well. So, from now on, this will be my main account. Thank you for reading.
(<99,99,99,99,999999>*99)!!
[Avatar] David, from my cancelled RPG
[Status] "I tried to save you... but instead I got you killed."
Very important news below.
I have forgotten my passwords to my other two accounts. Since the power went out yesterday, two of the computers I use have logged me out, and I have forgotten my names to those Twitch accounts as well. So, from now on, this will be my main account. Thank you for reading.
<3,3,3,3,10^7>
That's technically not a number. You divided by 0.
<3,3,3,3,10^50>
<8,8,8,8,10^Googleplex>
13e+123456789098765432112345678900
Yeah, we surpassed that a long time ago.
<8,8,8,9,10^Googleplex>
<3,3,3,3,10^^5>
Stop making pointless salad numbers. Also, 8^! makes no sense.
<3,3,3,3,G(2)>
<3,3,3,3,G(Googleplex)>
Me im ku umik ir?
Tux4, I thought you were interested in making fast-growing functions. Why all the salad numbers?
<3,3,3,3,G(10^^5)>
<8,8,8,8,G(10^^Googleplexian)>