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x + y = x, solve for X (pg. 3)
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| itsTrueSonic |
hmmm... x+y = x
good question .. we all have been asking that question for centuries ..
x+y=x
x = x - y
x - x = -y
solve for x.
does x have to equal x? no.
because since it seems when you subtract two of the same numbers,
it will equal to 0. however, when we do this :
-(x - x) = y
do we get to 0? therefore, does this force y to equal 0, following the subtraction equality rule?.. no.. because of this ...
let us go back ...
x - x = -y
then we square each sides...
(x-x)^2 = y^2
now we get
(x^2) - (2x^2) + (x ^2) = y^2
(2x^2 - 2x^2) = y^2
2(x^2 - x^2) = y^2
x^2 - x^2 = ( y^2 / 2)
y = sqrt(2(x^2-x^2))
but what is x?
what can we say x is ?
let's just say x^2 = 1, then we can say (1-1 =0)
x^2 - 1 = ( y^2 / 2)
therefore, we can say x^2 = ( (y^2) / 2 ) + 1
we take the square root from each side and get ....
x = the square root ...
sqrt( ( (y^2) / 2 ) + 1 )
get the point ....
hahahahhaha |
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| DrUg_Tit0 |
| quote: | Originally posted by Jer
Woah! I didn't realize this was such an interesting topic! Now we're getting into calculus to solve 0/0! So we have one view that says that 0/0=1 and 0/0=undefined. What about 0/0=infinity? Is there an argument for that? Like, because 3/0 = infinity, why shouldn't 0/0 also be infinity? |
In this current case, 0/0 is 1. If you'd draw the y=x/x function, It would be the same as if you'd draw the y=1. From that you can see that there is a singularity in 0, but that is a removable singularity as limits from both sides are the same. Sometimes the limit can be undefined, that is if left and right limit are not the same...lim x->-0 != lim x->+0. I think it could also be ifninity, depending on the function, for example, (x^x)/x. |
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| dosed |
x is undefined, simple as that.
(I might be wrong, I failed my last maths test :p) |
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| DrUg_Tit0 |
| quote: | Originally posted by itsTrueSonic
what can we say x is ?
let's just say x^2 = 1, then we can say (1-1 =0)
x^2 - 1 = ( y^2 / 2)
therefore, we can say x^2 = ( (y^2) / 2 ) + 1
we take the square root from each side and get ....
x = the square root ...
sqrt( ( (y^2) / 2 ) + 1 )
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Umm, this part is sort of unclear...You assumed for x to be one, therefore, the equation x=sqrt(((y^2)/2)+1)-> 1=sqrt(((y^2)/2)+1)-> 1=y^2/2+1-> 0=y. So you've just sort of checked that for x=1, y is a zero. |
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| KilldaDJ |
| quote: | Originally posted by hadi ******
y = 0
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yeah. |
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| Lover Boy |
Ok, for y = x/x, y=1 with an asymptote when x = 0.
As for what 0/0 equals, think of this logically.
You have a full box, to which you can fit nothing else in. Hence room in box equals 0. You wish to put one amount of nothing in, which you can do, as nothing fits into nothing, or 0 fits into 0. You could put 2, 5, 10, 50,000 lots of nothing into the box, going on forever. Hence 0 divided by 0 is equal to infinity, there is no end to how many times 0 will go into 0.
This is also the same for any real number divided by 0. How many times can u fit 0 into say 5? An infinite amount of times.
Trust me, I got an A at A level maths, I know my ;) |
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| Jer |
| Does anyone else think that trance music (and electronic music in general) has a prticular appeal for the mathematically inclined? The effects and settings of sythesizers are in effect functions to the variable of the source waveform. Even the logic of the division of the beat into finer and finer halves (1/2s, 1/4s, 1/8ths etc.) reminds me of binary. Obviously there's more to any music than just math, but it's obviously possible to define any music in terms of pure math (or else it couldn't be reproduced by a computer!) |
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| whiskers |
jesus christ, people, x=x, that's all there is to it, no philosophy, no buddhism, or what the hell ever, x=x and it can be anything you want it to be while at the same time y=0
it's simple 3rd grade algebra. |
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| whiskers |
| quote: | Originally posted by Jer
Does anyone else think that trance music (and electronic music in general) has a prticular appeal for the mathematically inclined? The effects and settings of sythesizers are in effect functions to the variable of the source waveform. Even the logic of the division of the beat into finer and finer halves (1/2s, 1/4s, 1/8ths etc.) reminds me of binary. Obviously there's more to any music than just math, but it's obviously possible to define any music in terms of pure math (or else it couldn't be reproduced by a computer!) |
absolutely, sin functions define waves and the such... my calc teacher used to go on about this stuff.... i wonder if we could take derivatives of songs, what would that sound like.... |
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| Jer |
| quote: | Originally posted by whiskers
jesus christ, people, x=x, that's all there is to it, no philosophy, no buddhism, or what the hell ever, x=x and it can be anything you want it to be while at the same time y=0
it's simple 3rd grade algebra. |
Whoa! Dude! You did algebra in grade 3??? We didn't start that stuff in Canada til, like, grade 9!!! No wonder you understand this stuff!! |
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| whiskers |
| quote: | Originally posted by Jer
Whoa! Dude! You did algebra in grade 3??? We didn't start that stuff in Canada til, like, grade 9!!! No wonder you understand this stuff!! |
lol, maybe not 3rd grade, maybe 5th grade (in russia we skip 4th grade for some reason). but yeah, we started out early... and i also used to read about einstein's theory of relativity when i was 10 and solve numerous logic problems since i was like 7... i used to have a talent for stuff like that, i was a pretty bright kid... but i guess i let it go... |
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| TranceGiant |
| quote: | Originally posted by whiskers
lol, maybe not 3rd grade, maybe 5th grade (in russia we skip 4th grade for some reason). but yeah, we started out early... and i also used to read about einstein's theory of relativity when i was 10 and solve numerous logic problems since i was like 7... i used to have a talent for stuff like that, i was a pretty bright kid... but i guess i let it go... |
LOL I can so much relate to that! With 5 I spent hours solving 1000 piece puzzles and going to theater shows, I was also interested in algebra at the age of 7 and read tons of books at that time..Look at me now...suring boards where the peak of intelligence is reached with "pics or stfu noob!"
j/k, I love you all :p |
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