Hard Light Productions Forums
Off-Topic Discussion => General Discussion => Topic started by: HotSnoJ on March 24, 2003, 07:19:52 am
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http://www.clickherefree.com/cgi-bin/webdata_FreeWebHosting.pl?cgifunction=form&fid=1048029535
ROTFL:lol: :lol:
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oooh
:eek2: :wtf: :lol:
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Wowsers... :lol:
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:eek2:
Think of the possibilities you will have with1 MB!:blah:
:lol:
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Forced Ads: Banner/Top ;7
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i guess if you want a 2 page HTML website that's ok ;)
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though if you want to make an art gallery, this may be the place. you could fit a dozen jpgs or so in there.
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w00t :D :lol:
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Originally posted by Carl
though if you want to make an art gallery, this may be the place. you could fit a dozen jpgs or so in there.
yeah, a dozen 40x40 pixel JPEGs ;)
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What. Is. The. Point.
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dy/dx = ay - by^3
dy/dx - ay = -by^3 Divide through by y^3
(1/y^3)dy/dx) - a/y^2 = -b
Make the substitution u = 1/y^2 So du/dx = (-2/y^3)(dy/dx)
(-1/2)du/dx = (1/y^3)dy/dx)
Substitute for y and dy/dx
(-1/2)du/dx) - au = -b
du/dx + 2au = 2b
Multiply by the integrating factor e^(INT(2a.dx))
= e^(2ax)
e^(2ax).du/dx + 2au.e^(2ax) = 2b.e^(2ax)
d/dx{u.e^(2ax)} = 2b.e^(2ax)
Integrate u.e^(2ax) = 2b.INT{e^(2ax).dx}
u.e^(2ax) = 2b(1/(2a)).e^(2ax) + const.
(1/y^2).e^(2ax) = (b/a).e^(2ax) + const
Thats the point... :p Get it now? :wink:
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Originally posted by Tiara
dy/dx = ay - by^3
dy/dx - ay = -by^3 Divide through by y^3
(1/y^3)dy/dx) - a/y^2 = -b
Make the substitution u = 1/y^2 So du/dx = (-2/y^3)(dy/dx)
(-1/2)du/dx = (1/y^3)dy/dx)
Substitute for y and dy/dx
(-1/2)du/dx) - au = -b
du/dx + 2au = 2b
Multiply by the integrating factor e^(INT(2a.dx))
= e^(2ax)
e^(2ax).du/dx + 2au.e^(2ax) = 2b.e^(2ax)
d/dx{u.e^(2ax)} = 2b.e^(2ax)
Integrate u.e^(2ax) = 2b.INT{e^(2ax).dx}
u.e^(2ax) = 2b(1/(2a)).e^(2ax) + const.
(1/y^2).e^(2ax) = (b/a).e^(2ax) + const
Thats the point... :p Get it now? :wink: [/B]
[color=66ff00]Ok CP! What did you do with Tiara's body? :wtf:
[/color]
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Methinks you phrased that wrong.
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Originally posted by an0n
Methinks you phrased that wrong.
[color=66ff00]Methinks you have a twisted imagination.
Considering CP's stance on girls how can you think of anything in that ballpark? :p
[/color]
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This is getting out of hand...now there are two of them!
:nervous:
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Looks just like what I was looking for.... :blah:
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Originally posted by Stealth
yeah, a dozen 40x40 pixel JPEGs ;)
you can get a 800x600 to 80kb on good compression.
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...
Why is it that you guys think nonly CP knows his math?
z = tan(x/2).
Then
sin(x) = 2*z/(1+z^2)
cos(x) = (1-z^2)/(1+z^2)
dx = 2*dz/(1+z^2)
Substitute this in, and you'll end up needing to integrate a rational function of z:
INTEGRAL dx/(3+4*sin
= INTEGRAL 1/(3+4*2*z/[1+z^2])^2 * 2*dz/(1+z^2)
= INTEGRAL (1+z^2)^2/(3*z^2+8*z+3)^2 * 2*dz/(1+z^2)
= INTEGRAL 2*(1+z^2)/(3*z^2+8*z+3)^2 * dz
Followed by;
3*z^2 + 8*z + 3 = 3*(z + [4+sqrt(7)]/3)*(z + [4-sqrt(7)]/3)
and partial fractions to break it into parts which you can easily
integrate.
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:wtf: what was the original problem in that last quote?
try this one: ;7
¥
ò ( e(1-x)t - 1 ) log(t) / ( et - 1 ) dt
0
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Originally posted by CP5670
:wtf: what was the original problem in that last quote?
Integrating Trig Function: dx/(3+4sin x)^2
Very simple I know... :p
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Originally posted by CP5670
:wtf: what was the original problem in that last quote?
try this one: ;7
¥
ò ( e(1-x)t - 1 ) log(t) / ( et - 1 ) dt
0
You have 2 unknowns there. You must give us a value for X if you want us to solve that.
By the way, you are insane. How the heck do you integrate a function when it's deffinition is from 0 to unlimited?
EDIT: Here is how I started solving that:
(http://www.fattonys.com/images/upload/image1.jpg)
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actually the answer to that is a function of x. :D your image is a red x though.
By the way, you are insane. How the heck do you integrate a function when it's deffinition is from 0 to unlimited?
eh...take appropriate limits, how else?
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Originally posted by Tiara
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Why is it that you guys think nonly CP knows his math?
[color=66ff00]:lol: It's usually only CP who throws a math problem up out of the blue, just for the hell of it.
We're more used to you running around 'axing' people and slitting the throats of those that notice your flagrant use of elven underwear. ;)
[/color]
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Originally posted by CP5670
actually the answer to that is a function of x. :D
You are starting to scare me now. :nervous: :shaking:
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alright I will give you the answer; see if you can prove why it is so. :D The integral equals log PF-1(x) + g H(x) , where PF is the powerfactorial, H is the harmonic number and g is the euler constant; if x is a positive integer, PFn(x+1) = 11n22n33n...xxn and H(x+1) = 1/1+1/2 +1/3+...+1/x.
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I hate you.
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Arrrgh maths!
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Originally posted by CP5670
alright I will give you the answer; see if you can prove why it is so. :D The integral equals log PF-1(x) + g H(x) , where PF is the powerfactorial, H is the harmonic number and g is the euler constant; if x is a positive integer, PFn(x+1) = 11n22n33n...xxn and H(x+1) = 1/1+1/2 +1/3+...+1/x.
Yeah...eh...I get it. Jesus Christ! I am never gonna take another math course again.