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Re: SR Prob : Solve for x

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  • Mark Armbrust
    ... / o o oo o o o o oo o o oo o ooooo / / o o oo o oooo o oo oo o / / o o ooo
    Message 1 of 6 , Dec 1, 2007
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      gsflom1 wrote:
      > Solve to SR precision :
      >
      > log (base 10) x = (x ^ 2) - 2 .
      >
      > Please leave a spoiler space before your answer.












      ---------------------------------------------------------------
      / o o oo o o o o oo o o oo o ooooo /
      / o o oo o oooo o oo oo o /
      / o o ooo o o ooooo oo ooooo o /
      /............................................................../
      < o o oo o o oo ooooo o oo <
      \ o o o o o o o o \
      \ o o o o o \
      \ oooo oo ooooooo oooooooo oooooooooo \
      \ooooooooooo o oo o oo oo ooo ooooooooooooooo\
      ---------------------------------------------------------------















      Graph the two functions and identify approximate solutions. There are
      two solutions: x ~= .01 and x ~= 1.5.

      Set cursor to 1.5 on D read L = 0.176, A = 2.25. A is too big so slide
      cursor to left until L coincides to fractional part of A. This gets you
      to L = .168 A = 2.17 thus D = 1.472.

      Observe that .01^2 - 2 is so close to log10(.01) there is no point in
      using a slide rule.

      Numeric solutions are: 1.472424171, 0.0100230391.

      --Mark
    • cadet1620
      ... The Yahoo Groups mail reader sure mangled that! Let s try again... ... Extra credit for decoding the tape. --Mark [Non-text portions of this message have
      Message 2 of 6 , Dec 1, 2007
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        --- In sliderule@yahoogroups.com, Mark Armbrust <mark.armbrust@...>
        wrote:
        >
        > [some well mangled ASCII art]

        The Yahoo Groups mail reader sure mangled that! Let's try again...

        | ---------------------------------------------------------------
        | / o o oo o o o o oo o o oo o ooooo /
        | / o o oo o oooo o oo oo o /
        | / o o ooo o o ooooo oo ooooo o /
        | /............................................................../
        | < o o oo o o oo ooooo o oo <
        | \ o o o o o o o o \
        | \ o o o o o \
        | \ oooo oo ooooooo oooooooo oooooooooo \
        | \ooooooooooo o oo o oo oo ooo ooooooooooooooo\
        | ---------------------------------------------------------------

        Extra credit for decoding the tape.

        --Mark




        [Non-text portions of this message have been removed]
      • Mike Markowski
        Mark, Nice ascii art! Did you write a program or do this manually? HERE IS ANOTHER OBSOLETE TECHNOLOGY! I decoded manually but halfway through was
        Message 3 of 6 , Dec 1, 2007
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          Mark,

          Nice ascii art! Did you write a program or do this manually?

          HERE IS ANOTHER OBSOLETE TECHNOLOGY!<cr>

          I decoded manually but halfway through was thinking a program would have
          been well worth the effort. :-)

          Mike

          cadet1620 wrote:
          > --- In sliderule@yahoogroups.com, Mark Armbrust <mark.armbrust@...>
          > wrote:
          >> [some well mangled ASCII art]
          >
          > The Yahoo Groups mail reader sure mangled that! Let's try again...
          >
          > | ---------------------------------------------------------------
          > | / o o oo o o o o oo o o oo o ooooo /
          > | / o o oo o oooo o oo oo o /
          > | / o o ooo o o ooooo oo ooooo o /
          > | /............................................................../
          > | < o o oo o o oo ooooo o oo <
          > | \ o o o o o o o o \
          > | \ o o o o o \
          > | \ oooo oo ooooooo oooooooo oooooooooo \
          > | \ooooooooooo o oo o oo oo ooo ooooooooooooooo\
          > | ---------------------------------------------------------------
          >
          > Extra credit for decoding the tape.
          >
          > --Mark
        • Mark Armbrust
          ... I wrote a program to do this a long time ago (timestamp on the source is 5/9/97) and a companion program that does punch cards. I just remembered them
          Message 4 of 6 , Dec 1, 2007
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            Mike Markowski wrote:
            > Mark,
            >
            > Nice ascii art! Did you write a program or do this manually?
            >
            > HERE IS ANOTHER OBSOLETE TECHNOLOGY!<cr>
            >
            > I decoded manually but halfway through was thinking a program would have
            > been well worth the effort. :-)
            >
            > Mike
            >
            > cadet1620 wrote:

            I wrote a program to do this a long time ago (timestamp on the source is
            5/9/97) and a companion program that does punch cards. I just
            remembered them during the obsolete technology thread.

            --Mark
          • Gary Flom
            Very good ! Gary Flom ... From: Mark Armbrust To: sliderule@yahoogroups.com Sent: Saturday, December 01, 2007 12:37 PM Subject: Re: SR Prob : Solve for x ... /
            Message 5 of 6 , Dec 1, 2007
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              Very good !

              Gary Flom

              ----- Original Message -----
              From: Mark Armbrust
              To: sliderule@yahoogroups.com
              Sent: Saturday, December 01, 2007 12:37 PM
              Subject: Re: SR Prob : Solve for x


              gsflom1 wrote:
              > Solve to SR precision :
              >
              > log (base 10) x = (x ^ 2) - 2 .
              >
              > Please leave a spoiler space before your answer.

              ----------------------------------------------------------
              / o o oo o o o o oo o o oo o ooooo /
              / o o oo o oooo o oo oo o /
              / o o ooo o o ooooo oo ooooo o /
              /............................................................../
              < o o oo o o oo ooooo o oo <
              \ o o o o o o o o \
              \ o o o o o \
              \ oooo oo ooooooo oooooooo oooooooooo \
              \ooooooooooo o oo o oo oo ooo ooooooooooooooo\
              ----------------------------------------------------------

              Graph the two functions and identify approximate solutions. There are
              two solutions: x ~= .01 and x ~= 1.5.

              Set cursor to 1.5 on D read L = 0.176, A = 2.25. A is too big so slide
              cursor to left until L coincides to fractional part of A. This gets you
              to L = .168 A = 2.17 thus D = 1.472.

              Observe that .01^2 - 2 is so close to log10(.01) there is no point in
              using a slide rule.

              Numeric solutions are: 1.472424171, 0.0100230391.

              --Mark




              [Non-text portions of this message have been removed]
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