# 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.