How can I increase the frequency of a repeating pattern in anequation? Tia sal2

Discussion in 'Symbolic Algebra' started by sal2, Feb 27, 2008.

  1. sal2

    sal2 Guest

    How can I increase the frequency of a repeating pattern in an equation?
    Tia sal2

    Greetings All

    I have an equation which reproduces a repeating pattern every 27 seconds
    How can a change the equation to repeat that pattern every 10 seconds , 1
    second , .001 seconds, etc..
    without changing the pattern?

    0.623617 -0.708673 Cos[0.232711 x]+3.12879 Cos[0.465421 x]-0.552463 Cos
    [0.698132 x]-0.835669 Cos[0.930842 x]-0.907259 Cos[1.16355 x]-0.31869 Cos
    [1.39626 x]-0.222449 Cos[1.62897 x]-0.178014 Cos[1.86168 x]-0.103093 Cos
    [2.0944 x]-0.0311209 Cos[2.32711 x]-0.00122505 Cos[2.55982 x]-0.00394298
    Cos[2.79253 x]+0.00258335 Cos[3.02524 x]-0.00603665 Cos[3.25795 x]
    +0.00357267 Cos[3.49066 x]+2.43832 Sin[0.232711 x]-4.74694 Sin[0.465421 x]
    +0.323796 Sin[0.698132 x]+0.50045 Sin[0.930842 x]+0.0882014 Sin[1.16355
    x]-0.110697 Sin[1.39626 x]-0.22896 Sin[1.62897 x]-0.169978 Sin[1.86168
    x]-0.170719 Sin[2.0944 x]-0.10112 Sin[2.32711 x]-0.0638189 Sin[2.55982
    x]-0.0405222 Sin[2.79253 x]-0.0384761 Sin[3.02524 x]-0.0272161 Sin
    [3.25795 x]-0.00900979 Sin[3.49066 x]

    0<=t<=27 the pattern repeats.

    sal2, Feb 27, 2008
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  2. sal2

    Greg Neill Guest

    I don't see a single t in your equation.
    Greg Neill, Feb 27, 2008
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  3. And I don't even see an equation.
    Pubkeybreaker, Feb 27, 2008
  4. sal2

    Ray Vickson Guest

    Assuming you mean x = 27, etc. (because your expression---which is NOT
    an equation!) has x in it but not t. Anyway, the simplest method is to
    map the interval [0,27] to the interval [0,10] for each separate term.
    That way, the pattern will repeat after x = 10. To do it, replace x by
    10*x/27 in each term; in other words, write y = 10*x/27 and use y in
    the formula instead of x. To have the pattern repeat every 'a'
    seconds, use y = a*x/27 and use y instead of x in the formula.

    R.G. Vickson
    Ray Vickson, Feb 27, 2008
  5. sal2

    Ray Vickson Guest

    Just write x = c*y and determine the value of the constant c so that
    when y = 10 you have x = 27. You will now have a formula in y that has
    period 10.

    R.G. Vickson
    Ray Vickson, Feb 27, 2008
  6. sal2

    sal2 Guest

    Thanks :)

    sal2, Feb 27, 2008
  7. sal2

    sal2 Guest

    Thanks :)

    sal2, Feb 27, 2008
  8. sal2

    Ray Vickson Guest

    Note: I had removed this reply because of its obvious error, but I
    guess when I used the Google Groups "remove" function it did not
    remove it globally, just for Google access. Anyway, read my /second/
    response, not this one.

    R.G. Vickson
    Ray Vickson, Feb 27, 2008
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