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  1. O

    Defining division by zero?

    i think 0-1=x. x is every point on the complex plane, including the infinite and finite in magnitude. and 0/0=0*any number on the complex plane 0/0=0*infinite=finite 0/0=0*infinetsimal=0 0/0=0*finite=0 so 0/0 is every point on the complex plane with a noninfinite magnitude, including zero.
  2. O

    Music and mathematics: how are they related?

    my main question: is there some mathematical formula that leads to a great song? be it a beat, melody, etc. what is the mathematical difference between dissonance and connosance? we know that listening to classical music at a young age results in high math scores. but why? i have listened to...
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    How many decimals of Pi do you remember?

    i remember: pi=3.14159 e=2.718282 thats odd. i remember one more digit of e than of pi.
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    How would i go about breaking an isopeptide bond?

    nevermind. i got what i want. trypsin from the local health mart.
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    How would i go about breaking an isopeptide bond?

    Hi. i dont know alot about chemistry so bear with me. the bond is between a member of the carboxyl group and the amino acid lysine. as i understand i need an enzyme. what readily available enzyme would suffice? would protease work?
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    Are we in two thousand ten or twenty ten ?

    i say we are in MMX. edit: damn i was beaten to it.
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    New Year's Eve Gun Shooting

    It is possible. If the gun is pointed straight up, the total magnitude of the velocity vector upon impact will be the terminal velocity. But, seeing as nobody was hanging onto a steeple and shooting up into the air from the top of the church, it is obvious that the gun was not pointed straight...
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    Do Physicists drink?

    alcohol isnt my intoxicant of choice because alcohol has lowered my inhibitions and caused me to do things that have gotten me in trouble. personally, i prefer cannabis and dextromethorphan(cough medicine). lately however i have done neither due to being on probation. btw, dextromethorphan...
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    How do i generalize this result to higher dimensions? (arc length, surface area)

    a derivation of the formula for arc length is simple enough: given a function f[x], find the length of the arc from x0 to x1. lim(x1-x0)/n=dx n->inf x1 S=^{i=n-1}_{i=0}\sum\sqrt{(x+(i+1)dx-(x+idx))^2+f(x+(i+1)dx)-f(x+dx))^2} xo...
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    Thoughts on MMOPRG's

    mmorpgs=evil. i am a recovering runescape addict. luckily i havent logged in, nor thought of logging in in over 6 months now. it took over my life. its far more addicting than any drug ive tried. all i thought, slept, ate, drank, and crapped was runescape. i wish i never started. By the...
  11. O

    PF Member Photo Thread Archive

    me! i dont have a very steady hand and i was usin a cameraphone. so it looks kinda messed up lol i have 4 eyes
  12. O

    A righteous atheist is morally superior to a righteous theist

    "a righteous atheist is morally superior to a righteous theist" what do you think of this statement? suppose there are two people, person A and person B. person A believes that there is no afterlife, no god, nothing once you die. any good actions you do will not be rewarded. any bad...
  13. O

    6 degrees of Wikipedia (again)

    tila tequila (the hot asian chick from shot at love) april 6 1969 pauley perrette (the hot goth chick from ncis) 3 clicks needed
  14. O

    How do i find the arc length of an implicit curve given by f[x,y]=0?

    in general they would range in complexity. im writing a program that finds the arc length of a level curve of some function f[x,y]. do you mean every implicit curve has a parametric representation?
  15. O

    Something interesting i realized. (more than one set of limits, change of variables)

    suppose i want to find the following integral: 7 \intx dx 3 now suppose for some demented reason i decided not to do it straightforward and get (49-9)/2=20 instead i use the substitution x=u2+4u+5 giving u1 \int(u2+4u+5)(2u+4)du u0 u1 \int2u3+12u2+26u+20 du u0 the indefinite integral is...
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    What should i do with my life?

    and if i serve time it will severely affect my ability of what to study. my mathematical interest is numerical analysis. (for example: anybody ever tried doing 1 million iterations of runge-kutta by hand?) without my computer to write programs that test algorithms ill be lost. but i guess that...
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    What should i do with my life?

    thanks for all the help. i generally use mathematics as an escape from my life, not a means of moving my life forward. Whenever i try to go forward in my life i feel alot of anxiety for some reason, and im afraid that studying mathematics for scholarly purposes rather than for recreational...
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    What should i do with my life?

    i guess i have found an escape in mathematics and physics. it allows me to avoid thinking about my life. i could turn that into something productive but in order to do that i would first have to take my college entrance exams. i know that i need to score phenomenally on my tests, but im not...
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    I wan to be a mathematician

    it seems like u should be a physicist then. but you will find that linear algebra is VERY important to calculus. escpecially when solving differential equations they are very intertwined. if you find linear algebra boring, look up the eigenvalue theorems. i find them very fascinating because...
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    Music - why do you listen to the music you listen to?

    I tend towards alot of death metal/industrial metal. im not goth or anything, but i like it because it sounds real angry, and that gets me pumped up. i mostly like it for the atmosphere.
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    What should i do with my life?

    im 21 years old and i have done absolutely nothing in my life. i havent taken the sat,act, or any type of college entrance exams. i am stuck in a rut and i dont see a way to get my life moving. i have made so many mistakes in my life. there are so many regrets i have. i remember not having...
  22. O

    An algorithm for numerical double integration over non-rectangular regions.

    is there one that is stable and accurate?
  23. O

    How do i find the arc length of an implicit curve given by f[x,y]=0?

    So theres no general formula/algorithm? bummer. there is no information about the curve other than it cannot be parameterized(and trivially, cannot be put into the form y[x]
  24. O

    Why is simpsons rule exact for 3rd degree polynomials?

    this is really perplexing. how can it be exact? simpsons rule uses quadratics to approximate the curve. how can it be exact if im approximating a cubic with a quadratic?
  25. O

    How do i find the arc length of an implicit curve given by f[x,y]=0?

    ? i used the implicit function theorem to find dy/dx, then applied that to the arc length formula, but i have to integrate with respect to x and there is the implicit function y[x] inside the radical. also, if it matters, the curve is assumed to be closed.
  26. O

    C/++/# How do i declare a function in the command promp window (c++ question)

    Hi. i wrote a script that finds the definite integral of a function using simpsons rule. right now the function to be integrated is defined as 2*pow(9-pow(x,2),.5). but this is very inconvenient to me because i must edit the program each time i want to find a new integral. my question is how...
  27. O

    How do i maximize the line integral?

    suppose i have a nonconservative vector field. and there is a path going from point A to point B. How do i determine the path taken from A to B such that the line integral is maximized? edit: actually after thinkin about it, this might be an undefined problem unless there is some constraint on...
  28. O

    Is my proof of greens theorem correct?

    im using firefox too. must be the browser then
  29. O

    Is my proof of greens theorem correct?

    i know thats why u gotta click on the link to the pic, dont go through the attachment.
  30. O

    Is my proof of greens theorem correct?

    here it is. [Broken]