parameterize x and y w.r.t. to t

>>17029988
f(x)=1/x - a
where a>0 and f(x) is defined on ]0,1/a]

-ln(x) fits your parameters exactly.

>>17029988
>>17030205
To be more general:
-log_n(x) will always have these properties for any n > 1:
>y approaches inf as x approaches 0
>crosses (1,0)
>slope becomes more shallow as x increases
Adjusting the value for n changes how quickly y "slows down." But it will always have the properties listed above.

>>17030213
neat. im more familiar with atan or y=x^2 or something to that degree, i always interpreted "log" as like, a log from a debug console or something lol, didnt know it was a math function.

i wonder how its computed. im aware things such as sin are a lot more expensive to compute than, say, square root, but im not familiar with log...

>>17030363
A logarithm is essentially the inverse of exponentiation.
log_n(x) is basically asking "what number can you raise n to the power of such that it equals x?"
So if 2^3=8 then log_2(8)=3.

>>17030363
One hand-calculation algorithm for log base 10 is to write the number in scientific notation and repeatedly raise it to the power of 10. For example [math]((2^{10})^{10})^{10} = 2^{1000} \approx 1.1 \times 10^{301}[/math] so [math]\log_{10}(2) \approx 0.301[/math].

You can also evaluate log base e (abbreviated [math]\ln[/math]) using a power series:
[math]\ln(1 + x) = x - \frac{x^2}{2} + \frac{x^3}{3} - \frac{x^4}{4} + \cdots[/math]

So just when I make a post saying that I never see someone talking using math simbols. This post just apears.

But guys I think that our schrizofrenia can make us do something bigger.

No one in this page has something better to do, soo, lets get schizo.

P.D. I´m mexican and also physics student, pardon me for my poor elexion of words and my bad gramatic use.