Can the summation.

1. Feb 23, 2005

whatzzupboy

Can the summation.......

Can the summation of a number equal that numbers square root??

2. Feb 23, 2005

arildno

How can you sum a single number?

3. Feb 23, 2005

NateTG

Well, I think that
$$\sqrt{1}=1$$
and
$$\sqrt{0}=0$$
both work...

4. Feb 23, 2005

arildno

whatzzupboy:
Did you mean something like this:
Has the following equation any solutions:
$$x+x=\sqrt{x}$$ ?

5. Feb 23, 2005

dextercioby

There's something weird-------->fishy here,so let's see whether he can ask a logically valid question...

Daniel.

6. Feb 23, 2005

whatzzupboy

for example:
<sum> of x^y
can it equal the square root of y

Last edited: Feb 23, 2005
7. Feb 23, 2005

dextercioby

What's the variable you sum after and what possible values can it take...?

Daniel.

8. Feb 23, 2005

whatzzupboy

any im just asking though is there any way at all that the summation of a number equal its square root

9. Feb 23, 2005

dextercioby

It still doesn't make any sense,sorry...Are u referring to a power/geometric series...?

Daniel.

10. Feb 23, 2005

whatzzupboy

no i'm saying if u take the summation of any number can its factors equal the numbers square root

Summation notain of x^1 to (x-1)^1= 1^1+2^1+3^1+4^1......(x-1)^1

11. Feb 23, 2005

dextercioby

You mean something like:
$$\sum_{k=1}^{n} k^{power}$$

If the sum streches to infinity,then there could be made a connection to the zeta-Riemann function...

Daniel.

12. Feb 23, 2005

Galileo

Whatzzupdude, please try to explain what you exactly mean by 'summation of a number'.

13. Feb 23, 2005

arildno

This is the sum of of the first (x-1) integers; it is not a summation "notain" (whatever that is) of x^1 to (x-1)^1.

14. Feb 23, 2005

whatzzupboy

Thank you Dextercioby, that is exactly what I meant can
$$\sum_{k=1}^{n} k^{power}$$
equal the root of n

15. Feb 23, 2005

moose

i think that he means

x^y=x + y?

if so than 2^2= 2+2......but I seirously doubt thats what you mean

why dont you add the definition summation into the glossary :)

16. Feb 23, 2005

Justin Lazear

$$\sum_{k=1}^n k^a = \sqrt{n}$$

for some constants a and n?

--J

17. Feb 24, 2005

whatzzupboy

yes that is exactly what i mean

18. Feb 24, 2005

NateTG

$$\sum_{k=1}^1 1^1 = \sqrt{1}$$

Not sure about non-trivial ones though.