Realizing that you are expected to change your old ways and begin to mature, take on responsibilities, take charge of your life, depend on yourself - and being VERY scared to face these changes.
"I wish I was a kid again. I've realized that the world is quite a different place once you become older. We are all robots now, expected to operate a certain way. I have so many things that must be done, and I feel as though the fun times of my past are growing further and further away each day."
"Tell me about it. That's the pain of growing up."
"Tell me about it. That's the pain of growing up."
by ttjm June 11, 2016
Get the The Pain of Growing Up mug.Phil Jackson has messed the Knicks up bad, but the media is still smoking what he's growing, but Hinkie is a pharmaceutical chemist.
by Guru Voodoo January 13, 2015
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A small pill made up of a compressed sponge inside a gel pill. When placed in water the casing dissolves, the sponge grows, and all delight! The sponge is often colored and cut into fun shapes, such as animals or dinosaurs.
I bought a pack of magic growing sponge egg toys for my kids, but they ate them all. They've been puking rainbow sponge dinos for hours.
by laserfeet April 15, 2009
Get the Magic Growing Sponge Egg Toy mug.This is when you find yourself staying up late to do something that seems like a good idea at the time, but you regret it in the morning. Most commonly this occurs during television watching.
Commedian Jim Gaffigan has brought this issue to light during his stand up routines. In particular, Gaffigan goes into detail about staying up late to watch a Growing Pains marathon. This seems like a great idea at the time, but upon waking up...Growing Pains wasn't such a good idea afterall.
So essentially The Growing Pains Paradox is staying up late for anything that seems like a good idea in the evening. However, due to the lack of sleep you regret the decision in the morning.
Commedian Jim Gaffigan has brought this issue to light during his stand up routines. In particular, Gaffigan goes into detail about staying up late to watch a Growing Pains marathon. This seems like a great idea at the time, but upon waking up...Growing Pains wasn't such a good idea afterall.
So essentially The Growing Pains Paradox is staying up late for anything that seems like a good idea in the evening. However, due to the lack of sleep you regret the decision in the morning.
"Uggh, why did I stay up last night watching a marathon of Ninja Warrior? I hate The Growing Pains Paradox!"
by Danger33 May 9, 2009
Get the The Growing Pains Paradox mug.A way for adults and family members to explain why a kid has been eating so much and seem to have packed on a few pounds.
Auntie Barb: Oh, Johnny! Your a growing boy! *gag* Your eating so much.
Johnny: *munch munch* Don't try that line on me.
Johnny: *munch munch* Don't try that line on me.
by actingprincess8808 December 13, 2009
Get the Your a Growing Boy mug.One who is always pressing forward mentally as well as physically for the result of growth. Always succeeds.
by Marcus_Aurelius March 15, 2010
Get the Always Growing mug.The fast growing hierarchy (shortened to FGH) is a method of defining large numbers. It takes in two inputs.
We define f(0,n) = n+1. For example: f(0,3) = 4. Next step is iteration. f(1,n) is f(0,f(0...f(0,n)...)) where f(0,...) is iterated n times. For example, f(1,2) = f(0,f(0,2)) = 4. Same rules for f(m,n).
Now let's define what ordinals are. Very simplified, they're a kind of infinity.
Consider this: |||....|
This has infinite sticks, but there's a 1st stick, 2nd stick... the last stick is the ωth stick. You can have ω+1, ω+2, ω+3 etc too. For our purposes, a limit ordinal is an ordinal that has no finite part at the end (so ω+3 is not a limit ordinal but ω×3 is.).
So how can we use this within FGH? We need to define a fundamental sequence (FS). An FS is the steps we take to reach a new limit ordinal. So the FS for ω is 0,1,2... and for ω×2 it's ω,ω+1,ω+2...
We can write this as: ωn = n, ω×2n = ω+n, ω^2n = ω×n and so on. There are more ordinals, but it'll do for our purposes.
This is not the only system for an FS. There's more, but I cannot fit it in an entry.
Now consider an ordinal α. Now FGH can be defined concretely:
for f(α,n):
if α is 0, it is n+1.
if α is not a limit ordinal, it is f(α-1,f(α-1...f(α-1,n)...)) where f(α-1,...) is iterated n times.
if α is a limit ordinal, it is f(αn,n).
Let's do an example: f(ω,3) = f(3,3) = f(2,f(2,f(2,3))). I know that f(2,n) = n×2^n, so it's 1.804356 × 10^15151336, which is HUGE! Imagine how large f(ω,10) is.
We define f(0,n) = n+1. For example: f(0,3) = 4. Next step is iteration. f(1,n) is f(0,f(0...f(0,n)...)) where f(0,...) is iterated n times. For example, f(1,2) = f(0,f(0,2)) = 4. Same rules for f(m,n).
Now let's define what ordinals are. Very simplified, they're a kind of infinity.
Consider this: |||....|
This has infinite sticks, but there's a 1st stick, 2nd stick... the last stick is the ωth stick. You can have ω+1, ω+2, ω+3 etc too. For our purposes, a limit ordinal is an ordinal that has no finite part at the end (so ω+3 is not a limit ordinal but ω×3 is.).
So how can we use this within FGH? We need to define a fundamental sequence (FS). An FS is the steps we take to reach a new limit ordinal. So the FS for ω is 0,1,2... and for ω×2 it's ω,ω+1,ω+2...
We can write this as: ωn = n, ω×2n = ω+n, ω^2n = ω×n and so on. There are more ordinals, but it'll do for our purposes.
This is not the only system for an FS. There's more, but I cannot fit it in an entry.
Now consider an ordinal α. Now FGH can be defined concretely:
for f(α,n):
if α is 0, it is n+1.
if α is not a limit ordinal, it is f(α-1,f(α-1...f(α-1,n)...)) where f(α-1,...) is iterated n times.
if α is a limit ordinal, it is f(αn,n).
Let's do an example: f(ω,3) = f(3,3) = f(2,f(2,f(2,3))). I know that f(2,n) = n×2^n, so it's 1.804356 × 10^15151336, which is HUGE! Imagine how large f(ω,10) is.
by cyclopentane December 1, 2022
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