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Thread: Nothing

  1. #1
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    Nothing

    Can you make 120 using only five 0's?

    You may use any and as many mathematical operators as you want to achieve the task.
    Jerry

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    Re: Nothing

    <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">The exclamation mark seems to be the deciding factor!</span hide>

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    Re: Nothing

    <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold"> Indeed</span hide>

    I'll let the others provide me with the solution <img src=/S/evilgrin.gif border=0 alt=evilgrin width=15 height=15>
    Jerry

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    Re: Nothing

    For those who need their <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">"exclamations"</span hide> and excitement more specific:
    <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">(0!+0!+0!+0!+0!)!</span hide>

    Steve

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    Re: Nothing

    I can do it using just two zeros:

    <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">0

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    Re: Nothing

    Steve/Hans

    <img src=/S/trophy.gif border=0 alt=trophy width=15 height=15>
    Jerry

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    Re: Nothing

    OK Alan, you've stumped me

    How?
    Jerry

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    Re: Nothing

    <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">0 divided by 0 is undefined - it can be anything: 37, or 120, or -3.141592, or ...</span hide>

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    Re: Nothing

    Thanks Hans

    I thought Alan was doing it using a trickery with bases <img src=/S/bash.gif border=0 alt=bash width=35 height=39>
    Jerry

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    Re: Nothing

    It's actually described as <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">indeterminate</span hide> rather than <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">undefined</span hide>.
    The latter is used to describe quantities of <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">infinite or infinitesimal magnitudes</span hide> while the former includes <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">"tenable" quantities whose values can not be determined from the available information alone</span hide>.

    Alan

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    Re: Nothing

    Well, that's told us then! <img src=/S/dizzy.gif border=0 alt=dizzy width=15 height=15>
    <font color=448800><font face="Comic Sans MS"><big>Lyra J </font color=448800></font face=comic></big>
    <img src=/S/flags/UK.gif border=0 alt=UK width=30 height=18> Ducking the arrows in Robin Hood country <IMG SRC=http://www.wopr.com/w3tuserpics/Lyra_J_sig.gif ALT="No, Admins, no! I'm sorry, okay!" title="No, Admins, no! I'm sorry, okay!">

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    Re: Nothing

    It's not that hard to visualize actually. If I define a function as:
    f(x) = 2x * (x-60) / (x-60)
    then it has the value "2x" for all values of x, except for x=60, in which case it has a value of 0/0. If you graph the function, excluding just the 0/0 value, you'll see that the 0/0 "anomoly" occurs when x=60 and f(x) corresponds to a value of 120. In this case, the 0/0 corresponds to a value of 120 (as "planned") and is determined by the particular function chosen.

    But if if someone asks the general question "What's the value of 0/0?", the answer would have to be "Unable to be determined without further information - it could be anything." i.e. indeterminate. You can fiddle f(x) to make 0/0 correspond to any number you want (including the undefined

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    Re: Nothing

    ...and just to help Alan's visualisation.
    Jerry

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    Re: Nothing

    <P ID="edit" class=small>(Edited by AlanMiller on 25-May-05 13:44. Added picture)</P>Hmmm <img src=/S/hmmn.gif border=0 alt=hmmn width=15 height=15>... I'm not sure that really helps Jezza. While it does show the discontinuity in the function, it appears that XL has decided to assign it a value of zero. I guess this makes some sense from the point of view of a computer program, which must assign some sort of value - it probably saw the numerator as zero, so assigned zero to the whole expression. In this case though, as shown, the 0/0 corresponds to a value of 120. The attached shows it more accurately I think.

    Alan

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    Re: Nothing

    Phew! Totally clear now- thanks guys.



    ....





    ...





    ..




    <img src=/S/confused.gif border=0 alt=confused width=15 height=20> <img src=/S/grin.gif border=0 alt=grin width=15 height=15>
    <font color=448800><font face="Comic Sans MS"><big>Lyra J </font color=448800></font face=comic></big>
    <img src=/S/flags/UK.gif border=0 alt=UK width=30 height=18> Ducking the arrows in Robin Hood country <IMG SRC=http://www.wopr.com/w3tuserpics/Lyra_J_sig.gif ALT="No, Admins, no! I'm sorry, okay!" title="No, Admins, no! I'm sorry, okay!">

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