# 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. ### sal2Guest

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
(t=27)
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.

Tia
Sal2

sal2, Feb 27, 2008

2. ### Greg NeillGuest

I don't see a single t in your equation.

Greg Neill, Feb 27, 2008

3. ### PubkeybreakerGuest

And I don't even see an equation.

Pubkeybreaker, Feb 27, 2008
4. ### Ray VicksonGuest

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. ### Ray VicksonGuest

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. ### sal2Guest

Thanks

sal2, Feb 27, 2008
7. ### sal2Guest

Thanks

sal2, Feb 27, 2008
8. ### Ray VicksonGuest

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