So Rafi tipped me off to this pretty nice video about ...
Black Holes: The other side of Infinity!
http://www.hulu.com/watch/14906/black-holes-the-other-side-of-infinity
only twenty minutes long, and worth watching for the general picture they give you and even more so for the beautiful and probably one hundred percent wrong artist's renderings. do you realize someone has a career, drawing this stuff that noone has ever seen? and only have half evidence for the existence?
enjoy.
Saturday, November 28
Sunday, November 8
You're nothing but Trouble!
alright so once upon a time some lunatic invented Complex Variables. the idea being, "how unfair is it that whenever we have a negative number under a radical we can't solve the problem." probably followed by collective whining from mathematicians everywhere and some grumpy faces for the rest of the day.
Then chuck norris came along and was told that he couldn't solve x^2 +1 = 0 . naturally the person with that kind of nerve (c'est gonfle!) got roundhouse kicked to the face. but chuck still needed to solve the problem and thus out of sheer norriseyness we got
√(-1)=i
...that's a letter. assigned a value that nobody knows what it actually means. then mathematicians had to take this breakthrough from Mr. Norris and develop an entirely new system of math using this idea. one of the most ridiculous decisions that was born is the fact that you can't compare two complex numbers and be able to say which is greater. 4i is not bigger than i. it has a bigger magnitude but its not actually greater than it. why? because noone knows what i is!
speaking of which i stands for imaginary. but then was renamed complex to sound more mathy. at least that's what i'm assuming. Imaginary sounds a lot cooler and is much more accurately descriptive considering that the entire system is born from a straight up lie by mathematicians. what if we could just do that on our tests.
teacher: find x
student: lets IMAGINE that there is a solution for this equation where x = m
Guess what else stops us when we try to advance mathematics? Dividing by Zero! so i propose that we follow in Norris' legendary footsteps and let 1/0 = j
then we can build an entire new type of mathematics on top of this theorem. Then we can once again add a new top tier to the number system. We'll call them Pretend numbers! and pretend numbers would be graphed on a plane without any axes. so you just put the points wherever you want and them connect them in whatever order you want and then describe what you see in each scribbley mess. Hence all pretend functions plotted would be Rorschach tests in disguise. and noone could ever fail because its all on what you see!
some of you may argue that 1/0 = infinity. That's absurd.
additionally. One thing that is interesting about complex numbers is how much easier things are to prove in it. For example the fundamental theorum of Algebra (not calculus, this is a different theorum that you've never heard of cause its sooooo fundamental) can only be proven for complex numbers not real numbers. it states that for a polynomial of degree n, there exist n roots up to multiplicity.
and when i say things are easier to prove in complex, i mean easier for crazy ridiculous geniuses like Dr. Agarwal. I admire the man and applaud his ability to do this insane branch of mathematics but I can't follow it for the life of me.
"The proof is so simple. Once again it requires only one line." *proceeds to write a proof that starts off by assuming that what its trying to prove is wrong and takes much more than one line* "It is clear?"*everyone stares blankly except for raymond who looks confused in the hopes that agarwal will catch on and explain again, and me, who lying through my teeth, nods, smiles and looks hopefully at my watch*
p.s. ladies. FIT is trying to brainwash us. did you notice how all the girls on campus wore black on Friday? everyone except Heather, and as leader of CAB she's probably in on it. ;)
p.p.s. I want to build a fort.
Then chuck norris came along and was told that he couldn't solve x^2 +1 = 0 . naturally the person with that kind of nerve (c'est gonfle!) got roundhouse kicked to the face. but chuck still needed to solve the problem and thus out of sheer norriseyness we got
√(-1)=i
...that's a letter. assigned a value that nobody knows what it actually means. then mathematicians had to take this breakthrough from Mr. Norris and develop an entirely new system of math using this idea. one of the most ridiculous decisions that was born is the fact that you can't compare two complex numbers and be able to say which is greater. 4i is not bigger than i. it has a bigger magnitude but its not actually greater than it. why? because noone knows what i is!
speaking of which i stands for imaginary. but then was renamed complex to sound more mathy. at least that's what i'm assuming. Imaginary sounds a lot cooler and is much more accurately descriptive considering that the entire system is born from a straight up lie by mathematicians. what if we could just do that on our tests.
teacher: find x
student: lets IMAGINE that there is a solution for this equation where x = m
Guess what else stops us when we try to advance mathematics? Dividing by Zero! so i propose that we follow in Norris' legendary footsteps and let 1/0 = j
then we can build an entire new type of mathematics on top of this theorem. Then we can once again add a new top tier to the number system. We'll call them Pretend numbers! and pretend numbers would be graphed on a plane without any axes. so you just put the points wherever you want and them connect them in whatever order you want and then describe what you see in each scribbley mess. Hence all pretend functions plotted would be Rorschach tests in disguise. and noone could ever fail because its all on what you see!
some of you may argue that 1/0 = infinity. That's absurd.
additionally. One thing that is interesting about complex numbers is how much easier things are to prove in it. For example the fundamental theorum of Algebra (not calculus, this is a different theorum that you've never heard of cause its sooooo fundamental) can only be proven for complex numbers not real numbers. it states that for a polynomial of degree n, there exist n roots up to multiplicity.
and when i say things are easier to prove in complex, i mean easier for crazy ridiculous geniuses like Dr. Agarwal. I admire the man and applaud his ability to do this insane branch of mathematics but I can't follow it for the life of me.
"The proof is so simple. Once again it requires only one line." *proceeds to write a proof that starts off by assuming that what its trying to prove is wrong and takes much more than one line* "It is clear?"*everyone stares blankly except for raymond who looks confused in the hopes that agarwal will catch on and explain again, and me, who lying through my teeth, nods, smiles and looks hopefully at my watch*
p.s. ladies. FIT is trying to brainwash us. did you notice how all the girls on campus wore black on Friday? everyone except Heather, and as leader of CAB she's probably in on it. ;)
p.p.s. I want to build a fort.
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