Does the Summation of a Number Equal Its Square Root?

[whatzzupboy]

Can the summation...

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

 

[arildno]

How can you sum a single number?

 

[NateTG]

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

 

[arildno]

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

 

[dextercioby]

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

Daniel.

 

[whatzzupboy]

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

 

[dextercioby]

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

Daniel.

 

[whatzzupboy]

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

 

[dextercioby]

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

Daniel.

 

[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

 

[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.

 

[Galileo]

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

This is grade K-12 Dex...

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

 

[arildno]

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

What ARE you talking about??
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.

 

[whatzzupboy]

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.

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

 

[moose]

i think that he means

x^y=x + y?

if so than 2^2= 2+2...but I seirously doubt that's what you mean

why don't you add the definition summation into the glossary :)

 

[Justin Lazear]

You're asking if

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

for some constants a and n?

--J

 

[whatzzupboy]

yes that is exactly what i mean

 

[NateTG]

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

Not sure about non-trivial ones though.