Poll

Favorate Math Function

Regular Functions
1 (3.3%)
Logarithmic Functions
3 (10%)
Circular/Trig Functions
4 (13.3%)
Hyperbolic Functions
3 (10%)
Vector-Valued Functions
3 (10%)
Any Other Functions
4 (13.3%)
Subtracting alchohol from glass functions
12 (40%)

Total Members Voted: 30

Voting closed: March 07, 2002, 07:59:52 am

Author Topic: OT - Favorate Type of Math Function  (Read 7715 times)

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Offline Wildlife

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OT - Favorate Type of Math Function
I really have nooo idea wat ur talkin about...........:o
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Offline Rampage

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OT - Favorate Type of Math Function
Quote
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".

 

Offline CP5670

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OT - Favorate Type of Math Function
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.;)

 

Offline Galemp

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OT - Favorate Type of Math Function
Quote
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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Offline Vortex

  • 25
OT - Favorate Type of Math Function
Yeh I'm just getting to this in my HL class, don't scare me yet CP!
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Offline Setekh

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OT - Favorate Type of Math Function
Mmmmmvectors. ;)

CP, you would be in heaven in my school. Maths this, maths that... how old are you again?!! :D
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Offline CP5670

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OT - Favorate Type of Math Function
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

 

Offline Setekh

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OT - Favorate Type of Math Function
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
- Eddie Kent Woo, Setekh, Steak (of Steaks), AWACS. Seriously, just pick one.
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Offline wEvil

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OT - Favorate Type of Math Function
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.

 

Offline Rampage

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OT - Favorate Type of Math Function
This is saaaad:

Six votes for "Subtracting alcohol from glass functions" :o

 

Offline Thorn

  • Drunk on the east coast.
  • 210
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OT - Favorate Type of Math Function
*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...
Quote
This coffee isnt Irish enough!
[/edit]
« Last Edit: March 10, 2002, 06:48:20 pm by 322 »

 

Offline Setekh

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OT - Favorate Type of Math Function
Quote
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....
- Eddie Kent Woo, Setekh, Steak (of Steaks), AWACS. Seriously, just pick one.
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Offline Vortex

  • 25
OT - Favorate Type of Math Function
Quote

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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Offline Vortex

  • 25
OT - Favorate Type of Math Function
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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Offline CP5670

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OT - Favorate Type of Math Function
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

Quote
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
« Last Edit: March 12, 2002, 03:12:48 am by 296 »

 

Offline Vortex

  • 25
OT - Favorate Type of Math Function
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)
Proud member of the Combathawks and Silver Talon Wing
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Offline aldo_14

  • Gunnery Control
  • 213
OT - Favorate Type of Math Function
Quote
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.

 

Offline CP5670

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OT - Favorate Type of Math Function
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. ;)

 

Offline Setekh

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OT - Favorate Type of Math Function
Lol, then you can wear even bigger boots when there's a science discussion 'round here. :D
- Eddie Kent Woo, Setekh, Steak (of Steaks), AWACS. Seriously, just pick one.
HARD LIGHT PRODUCTIONS, now V3.0. Bringing Modders Together since January 2001.
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Offline Zazicle

  • 23
OT - Favorate Type of Math Function
Quote
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.