Can the summation.

  • #1
Can the summation.......

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

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  • #2
arildno
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How can you sum a single number?
 
  • #3
NateTG
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Well, I think that
[tex]\sqrt{1}=1[/tex]
and
[tex]\sqrt{0}=0[/tex]
both work...
 
  • #4
arildno
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whatzzupboy:
Did you mean something like this:
Has the following equation any solutions:
[tex]x+x=\sqrt{x}[/tex] ?
 
  • #5
dextercioby
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There's something weird-------->fishy here,so let's see whether he can ask a logically valid question...:wink:

Daniel.
 
  • #6
for example:
<sum> of x^y
can it equal the square root of y
 
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  • #7
dextercioby
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What's the variable you sum after and what possible values can it take...?

Daniel.
 
  • #8
any im just asking though is there any way at all that the summation of a number equal its square root
 
  • #9
dextercioby
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It still doesn't make any sense,sorry...Are u referring to a power/geometric series...?

Daniel.
 
  • #10
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
dextercioby
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You mean something like:
[tex] \sum_{k=1}^{n} k^{power} [/tex]

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

Daniel.
 
  • #12
Galileo
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dextercioby said:
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'.
 
  • #13
arildno
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whatzzupboy said:
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.
 
  • #14
dextercioby said:
You mean something like:
[tex] \sum_{k=1}^{n} k^{power} [/tex]

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
[tex] \sum_{k=1}^{n} k^{power} [/tex]
equal the root of n
 
  • #15
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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
You're asking if

[tex]\sum_{k=1}^n k^a = \sqrt{n}[/tex]

for some constants a and n?

--J
 
  • #17
yes that is exactly what i mean
 
  • #18
NateTG
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[tex]\sum_{k=1}^1 1^1 = \sqrt{1}[/tex]

Not sure about non-trivial ones though.
 

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