Hello polylog and welcome!

I'm sure you'll be able to learn something here

Hello. Thanks for joining us!

hi polylog also ganesh whats a logarithm?

Thanks to everyone for the nice welcome.

ganesh wrote:

Hi polylog,
Yet, as a piece of information, polylog is undefined,
thats because if you repeatedly take the logarithm of a number,
at some stage you reach either zero or a negative number.
Thereafter, logarithm of that number is undefined or meaningless
Anyways, it was a lovely thought to chose this username.

Actually I can't take any credit for coming up with the name... I just remembered it from an article about "integrals that can and cannot be done" from Wolfram Research, and the Polylogarithm function (PolyLog[n, z]) was one of the special functions that comes up with along with other integrals that have no elementary antiderivatives, like the functions erf(x), the log integral Li(x), and so on.

Here is a good definition: http://mathworld.wolfram.com/Polylogarithm.html

espeon wrote:

hi polylog also ganesh whats a logarithm?

hi espeon, here is a simple introduction to the idea:

Consider multiplying 10 *by itself* twice: 10 x 10 = 100.

Or 3 times: 10 x 10 x 10 = 1000.

Or 4 times: 10 x 10 x 10 x 10 = 10000


Now, try to answer these questions:

"How many times do we multiply 10 by itself to get 100?"

"How many times do we multiply 10 by itself to get 1000?"

"How many times do we multiply 10 by itself to get 100000?"

espeon wrote:

1.10^2
2.10^3
3.10^5

Right!

You have just calculated some logarithms.

The logarithm is the number of times the number called the *base* has to be multiplied by itself to get a certain number as a result. Or in other words, what power of the base gives a certain number. The base in this case was 10.

the notation is like this ('log' is short for logarithm):

10^2 = 100,  so we say log(100) = 2.

10^3 = 1000,  so we say log(1000) = 3.

10^5 = 100000,  so we say log(10000) = 5.


Try the "log" button on your calculator for numbers like 100000, 10000000, etc.

espeon wrote:

if u havent noticed im much smarter than other 12 year olds

I would say so!

Glad to help!

welcome

welcome poly log

Welcome polylog!