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Science Shark!
 
What do you think? Give us your opinion. Anonymous comments allowed.
#29

AvatarAirBender (01/16/2013) [+] (5 replies)
Can someone crop the "Its and asymptote bitch!" for me?
#2

stargate (01/15/2013) [+] (9 replies)
frog jumps halfway each time eventually, his nose will touch it
u mad shark?
u mad shark?
#3 to #2

Unimaksu (01/15/2013) []
no, he's jumping half the distance from himself to the wall each time. so the first time he was 4 inches form the wall, and he jumped 2 inches. now he's 2 inches from the wall and jumped 1 inch. no he's 1 inch from teh wall and jumped half an inch, so on and so forth. he will keep getting half as close to the wall as he is but never actually touching it
#88 to #85

wiredgal (01/16/2013) []
The shark explained it terribly, let me help, I'm an octopus.
For the frog to reach the wall from where he is, he must first travel half that distance, but to travel that remaining half way, he must travel half of that, so he's now 3/4 of the way there. Then half of that, making him 7/8, then half of that, so he's 15/16 of the way there, and so on, meaning he can never reach the wall.
He gets closer and closer and closer, but each time must still half the distance before moving on.
And since we can't divide down to zero, just smaller and smaller (but positive) values, he can never actually reach the wall.
<< The way this tends to 0 but never actually touches it, can be represented thusly on a graph.
That line is called an asymptote and will go on forever (in both directions and in this case with a mirror image, but that's just because I was too lazy to get a better diagram), getting closer and closer to zero but never touching it.
For the frog to reach the wall from where he is, he must first travel half that distance, but to travel that remaining half way, he must travel half of that, so he's now 3/4 of the way there. Then half of that, making him 7/8, then half of that, so he's 15/16 of the way there, and so on, meaning he can never reach the wall.
He gets closer and closer and closer, but each time must still half the distance before moving on.
And since we can't divide down to zero, just smaller and smaller (but positive) values, he can never actually reach the wall.
<< The way this tends to 0 but never actually touches it, can be represented thusly on a graph.
That line is called an asymptote and will go on forever (in both directions and in this case with a mirror image, but that's just because I was too lazy to get a better diagram), getting closer and closer to zero but never touching it.
#41

anonymous (01/16/2013) [+] (5 replies)
It will touch the wall, if you are able to grasp the concept of infinity. It's the same idea as 9.9 (repeating of course) actually equalling 1.