Hard Light Productions Forums
Off-Topic Discussion => General Discussion => Topic started by: Rampage on March 07, 2002, 07:58:23 am
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Vote Above and post your comments below.
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Pfff. They all suck when compared to the awesome majesty of Differentiation.
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I love vectors.
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Power tower and hyperexponential functions in six dimensions rule all. :D n-circle epicycloids and hypocycloids are also nice.
Here is a specific graph that looks interesting: (2-var combination of power-towers, normal powers and trig functions)
(x²-y²)^(y³/x³) = (sin(x³) cos(y³))^(cos(x²) sin(y²))
A nice power tower one: (3-var)
x^x + y^y + z^z - sum( 2ªxª , a->0 to (x²-|x|)/x ) - sum( 2ªyª , a->0 to (y-|y|)/y ) - sum( 2ªzª , a->0 to (z²-|z|)/z ) = 1
Try finding integrals for those.:D:D
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I love not doing math at all :p
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Bah, nothing compares to Categories Theory. :D
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Subtraction.
Subtracting alchohol from my glass.
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Addition.
Adding food to my belly (unoriginal I know, sue me :p)
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Bah, you no-talent hack. :p
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Originally posted by Thunder
Addition.
Adding food to my belly (unoriginal I know, sue me :p)
*sue's Thunder*:p
(http://www.3dap.com/hlp/hosted/inferno/freak.jpg)
:D
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You know, the FOJ will probably win that suit, since Thunder's idea is practically the same thing as Shrike's idea but in reverse...:D
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I made no claim - nor am I under obligation to be - unique. So nyer nyer to the lot of you :p
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Yeah, but we can still laugh and call you a poser. :D
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Whatever floats your boat :nod:
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Wow it's geek central!
Unfortunately I'm the kind of person who wishes he was smart enough to understand half of it which is probably far worse than being a geek :D
Geek wannabe eh?
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Out of all of those (minus no functions at all which are the best :D) I prefer the regular function since...I HAVEN'T LEANED ANY OTHERS YET! :D So since I can't do them I don't like them ;)
And I too like adding food to my belly. :)
*runs from the freak of justice*
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Just brought this topic back up because I was able to acquire a copy of Mathematica 3.0 just today (from the IMF staff library); this thing is just incredible. It was able to do just about every integral I could throw at it (except for the x^x one, but I don't know of anything that can do that), solve a bunch of really hard 4-variable partial differential equations in less than a second (which would have taken me months), and do some very nice implicit 3D plots in spherical coordinates. I will definitely upgrade to version 4 soon, which is the latest one. If you're into math, I would definitely recommend this package.:nod::yes:
Oh BTW here's a graph of the first equation up there: (x²-y²)^(y³/x³) = (sin(x³) cos(y³))^(cos(x²) sin(y²))
(yes, it is only one equation :D)
(http://mywebpages.comcast.net/cp5670/g1.gif)
Zoomed in view: first quadrant, origin is at the bottom-left corner
(http://mywebpages.comcast.net/cp5670/g2.gif)
The fun part is finding a derivative and an integral for it...:D (have not been able to get an exact indefinite integral, or the solution to dy/dx=f(x,y) here, but it might still be possible; going to keep working on that one)
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Sine waves r00l!
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Originally posted by CP5670
The fun part is finding a derivative and an integral for it...:D (have not been able to get an exact indefinite integral, or the solution to dy/dx=f(x,y) here, but it might still be possible; going to keep working on that one)
You strange, strange, strange, strange boy.
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You did not already know that? :D:D:D
Actually, this math stuff, along with computer games, lego models, mechanical engineering and astrophysics pretty much makes up my entire life. :D
Anyone think they can integrate that equation up there? I started with the usual rule for power-towers, ln()'d both sides, and from there attempted to use some trignometric identities to simplify the thing. Going to work on it some more later today, since it would be neat to know the area within one of those small circles...;)
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I really have nooo idea wat ur talkin about...........:o
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Originally posted by CP5670
(have not been able to get an exact indefinite integral...)
Can you get an exact integral using regular calculus?
I mean: [INT] f(x) dx = F(x) + C
"C" could be ANYTHING! You need to know the derivative of the function to find "C".
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Well, the problem with that equation is that it is an implicit function and cannot be solved algebraically for either variable. (at least, I have not been able to do so yet ;) ) I am not sure if this works, but it might be possible to treat it as a function of another variable, say something like z=f(x,y) and find a double integral with respect to x and y.
Does anyone know if there is a way to get integrals for implicit functions? (a chain rule for integrals maybe?)
There is something called Euler's method for solving equations of the form f(x,y)=dy/dx numerically, but that only give approximate results, and I like things to be precise. ;):D
Finding C once you have the antiderivative is pretty easy; you just find a point on the original equation, substitute it into the new one and solve for C. It is the antiderivative that's the hard part here.;)
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Originally posted by Wildlife
I really have nooo idea wat ur talkin about...........:o
Don't worry, you're not missing anything. It's just really advanced mathematics, taught in secondary schools but mostly universities.
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Yeh I'm just getting to this in my HL class, don't scare me yet CP!
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Mmmmmvectors. ;)
CP, you would be in heaven in my school. Maths this, maths that... how old are you again?!! :D
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I'm 15.4 or so, but hey the stuff is not that advanced or anything... :p:D
This is a bit harder material, but that makes it lots of fun:
http://mathworld.wolfram.com/Euler-LagrangeDifferentialEquation.html
http://mathworld.wolfram.com/LegendreDuplicationFormula.html
Cool stuff, huh? ;7 I read this stuff constantly in my spare time; it's simply great... :D
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Sounds like you're about my age. What's your birthday again? :)
Oh, and I gotta agree. Maths is just plain cool. :) PS. if fractal functions were in there, I'd vote for that definitely... :D
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How about subtracting Guinness from your glass?
dont tell me none of you are training for St.Patricks' Day????
;7
Maths on the other hand...I like the theory but I havent done it since i was 16. four years..yipes.
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This is saaaad:
Six votes for "Subtracting alcohol from glass functions" :o
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*tries to make sense of whats being said*
This is making my head hurt...
Well, back to subtraction for me :D
*wanders off to the fridge*
[edit] actually, I kinda like the Irish function...
This coffee isnt Irish enough!
[/edit]
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Originally posted by wEvil
Maths on the other hand...I like the theory but I havent done it since i was 16. four years..yipes.
I hear that most of the people around me don't use maths on even a monthly basis after their high-school years. Except add and subtract, maybe.
I do know, though, two people who are doing courses in Pure Mathematics at university....
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I'm 15.4
OMG only a math person would say that... :D:D:D (I like math too so don't think I'm insulting you)
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Hehe, my favorite proof (well actually it doesn't work but it's funny to show to people who don't see the flaw in it).
The 2=1 proof
Let a=b
a = b
a^2 = ab
(a^2) - (b^2) = ab - (b^2)
(a+b)(a-b) = b(a-b)
a+b = b
Since a=b
b+b = b
2b = b
2=1
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That was actually sort of inaccurate and had been calculated a few months ago; my real age is closer to
15.51780821 +
¥
S (91789021/100000000ª)
a->1
a = b
a^2 = ab
(a^2) - (b^2) = ab - (b^2)
(a+b)(a-b) = b(a-b)
a+b = b
Since a=b
b+b = b
2b = b
2=1
uh...how did you get b+b=b from a=b? also, the fifth step should actually be (a-b)(a+b-b)=0 to ensure that no solutions are left out. :p:D So either a=b or a=0 could be the solution. :D
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Ok I'll do it again:
Let a = b
a = b
a^2 = ab (multiply both sides by a)
a^2 - b^2 = ab - b^2 (subtract both sides by b squared)
(a+b)(a-b) = b(a-b) (factor the left side, factor a b out on the right side)
a+b = b (divide both sides by (a-b))
b+b = b (since a=b has been stated at the beginning, sub b in for a)
2b = b (just some cleanup)
2=1 (divide both sides by b)
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Originally posted by Setekh
I hear that most of the people around me don't use maths on even a monthly basis after their high-school years. Except add and subtract, maybe.
I do know, though, two people who are doing courses in Pure Mathematics at university....
Haven't used it since last year at Uni.... well, a little big of order n calculation, but that's really just programming.
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I am probably going into theoretical physics, which is pretty much all math (especially diff equations), so I would be using it all the time. ;)
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Lol, then you can wear even bigger boots when there's a science discussion 'round here. :D
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Originally posted by Vortex
Ok I'll do it again:
Let a = b
a = b
a^2 = ab (multiply both sides by a)
a^2 - b^2 = ab - b^2 (subtract both sides by b squared)
(a+b)(a-b) = b(a-b) (factor the left side, factor a b out on the right side)
a+b = b (divide both sides by (a-b))
b+b = b (since a=b has been stated at the beginning, sub b in for a)
2b = b (just some cleanup)
2=1 (divide both sides by b)
You can't divide through by (a-b) because (a-b) = 0.
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pfffffff those aren't calculations, try making a Azimuth with dip free position lines.
or just a small calculation, try to get the answer.
Formula: wk=gk+tc
WK= Ware koers-> true course
GK= Gyro course
TC= Total coreection.
Now try to solve this:D
A ship has a Gyro course of 120 degrees, the tc is -1 whats the ships true course.
:lol: if you can't solve this your dumb.
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ah god...
vectors...
I hate the damn things, but I need to learn them..
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okay, that is scary, Im 16.3041096 years old and Im just now leaning what a sine cosine and tangent even is. But I calculated my 10,000,000 minute and I know some euclidian geometry. So my math skills are crap in comparison to the stuff youre talking about.
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Originally posted by Setekh
I hear that most of the people around me don't use maths on even a monthly basis after their high-school years. Except add and subtract, maybe.
I do know, though, two people who are doing courses in Pure Mathematics at university....
I dont even add or subtract anymore.. I let the guy at the bar do it for me :p
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This thread is so wrong I cannot begin to describe...
LET'S HEAR IT FOR THE LIBERAL ARTS MAJORS!!!!;)
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heyyy...what about Digital Arts?
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testing some stuff:
¥
òe^(- x²) = Öp erf(x) / 2 = Öp
0
f(x,y) = x³ - 9xy - y³
¶y / ¶x= - ( ¶f / ¶x ) / ( ¶f / ¶y ) = - ( 3y + x² ) / ( y² - x )
r(q,j) = cos( q³ - 4q ) + sin( j² - 9 )
p » 3.1415926535897932384626433832795028841972
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Okay I edited that about 20 times; it looks pretty good now. :)
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Hehe, does anybody have that Dilbert joke handy? The one about Time = Money and Power = Knowledge (the only thing I remember is that it has to do with the power formula).
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Originally posted by CP5670
testing some stuff:
¥
òe^(- x²) = Öp erf(x) / 2 = Öp
0
f(x,y) = x³ - 9xy - y³
¶y / ¶x= - ( ¶f / ¶x ) / ( ¶f / ¶y ) = - ( 3y + x² ) / ( y² - x )
r(q,j) = cos( q³ - 4q ) + sin( j² - 9 )
p » 3.1415926535897932384626433832795028841972
Whoa, funky fonts. :):yes:
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Originally posted by Vortex
Hehe, does anybody have that Dilbert joke handy? The one about Time = Money and Power = Knowledge (the only thing I remember is that it has to do with the power formula).
How about girls = evil?
Let's assume that girls are, in essence, time x money
Now, we know that time = money, so therefore girls = money^2
We also know that money is root of evil, therefore girls = evil
Oh yes, and how a library is actually just a black hole that can read?
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Whoa, funky fonts. :):yes:
Yeah, the strange characters are from the Symbol font, which contains all of the math symbols and greek letters. Since HTML code was enabled here, I decided to see if it would work. ;)
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Postulate one:
Time = Money
Postulate Two:
Knowledge is Power
A every engineer knows, Power = Work/Time
So:
Knowledge = Work/Time
= Work/Money
And
Money = Work/Knowledge
Therefore, when you take the limit as Knowledge Approaches zero, Money increases without bound, regardless of the amount of Work done.
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(http://www.3dap.com/hlp/hosted/tap/pictures/dogbert.gif)
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Time=Money
Work=Money
Money=Power
Knowledge=Power
Power OR Money=Girls
Money=Root(all evil)
x*y=evil where x and y are any of the above
Therefore money, time, power, girls and knowledge are the roots of all evil.
Work*Time1=Money Yes
Money=Girls Yes
Work*Time1=Girls No (mathematical fluke)
Money/Girls=1 Yes
Work*Time1=1 Yes
And if Time and Work are the root of all evil then Work*Time=Evil, therefore anyone who works is evil.
Now there's some 'inventive' maths for you.
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Good plan.
I don't like when people do stupid.
They get a :headz:
Here's another dirivation my buddy AVOW dreamed up.
Work = FD
Force = MA
Therefore:
W = MAD
That's why work makes you mad,
and when you're mad, you are persay, worked up.
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Knowledge = Power
Power = Corruption
hmm...
Study hard kiddies! Be evil!
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i was about to get mad at Montacita, before i saw where he gave me credit for those "equations".
here's another:
tan^-1 = arctan
sin^-1 = arcsin
Kansas^-1 = Arkansas
*Copyright Brad Pitts 1999
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You want more?
What's the integral of 1/Cabin?
Logcabin.
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remember.....(from the Simpsons)
what is the derivitive with respect to r of 1/3r^3???
r^2dr..............rdrr..............har dee har har
get it Bart???
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all i know is 2+2=4 and any other basic addition and subtraction. Perhaps even a bit of trig, but otherwise I force the GF to do all the hard work! :D :drevil:
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heheh...some of those are pretty good. :D:D
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As long as we're doing maths humor, I give ye a limerick:
The integral of z squared dz,
From one to the square root of three,
and times the cosine,
of 3 pi over nine,
equals natural log cube root of e!
Don't ask. I have no idea.
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Originally posted by Montacita
Good plan.
I don't like when people do stupid.
They get a :headz:
Here's another dirivation my buddy AVOW dreamed up.
Work = FD
Force = MA
Therefore:
W = MAD
That's why work makes you mad,
and when you're mad, you are persay, worked up.
Montacita! Welcome to HLP! Haven't seen you around before. It's good to have you here. :):yes: