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Homework Help: Can the summation.

  1. Feb 23, 2005 #1
    Can the summation.......

    Can the summation of a number equal that numbers square root??
     
  2. jcsd
  3. Feb 23, 2005 #2

    arildno

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    How can you sum a single number?
     
  4. Feb 23, 2005 #3

    NateTG

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    Well, I think that
    [tex]\sqrt{1}=1[/tex]
    and
    [tex]\sqrt{0}=0[/tex]
    both work...
     
  5. Feb 23, 2005 #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] ?
     
  6. Feb 23, 2005 #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.
     
  7. Feb 23, 2005 #6
    for example:
    <sum> of x^y
    can it equal the square root of y
     
    Last edited: Feb 23, 2005
  8. Feb 23, 2005 #7

    dextercioby

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

    Daniel.
     
  9. Feb 23, 2005 #8
    any im just asking though is there any way at all that the summation of a number equal its square root
     
  10. Feb 23, 2005 #9

    dextercioby

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

    Daniel.
     
  11. Feb 23, 2005 #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
     
  12. Feb 23, 2005 #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.
     
  13. Feb 23, 2005 #12

    Galileo

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    This is grade K-12 Dex...

    Whatzzupdude, please try to explain what you exactly mean by 'summation of a number'.
     
  14. Feb 23, 2005 #13

    arildno

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    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.
     
  15. Feb 23, 2005 #14
    Thank you Dextercioby, that is exactly what I meant can
    [tex] \sum_{k=1}^{n} k^{power} [/tex]
    equal the root of n
     
  16. Feb 23, 2005 #15
    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 :)
     
  17. Feb 23, 2005 #16
    You're asking if

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

    for some constants a and n?

    --J
     
  18. Feb 24, 2005 #17
    yes that is exactly what i mean
     
  19. Feb 24, 2005 #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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