Upper bound on distance from origin

[sim-hal]

Is it not R+ = |A+| + |A-|, and not R+ = A+ + A- as suggested in the set?

We have no guarantees on the signs of A+ and A-, and if our initial conditions is (0, x_0) for x0 < 0, then A+ + A_- = x_0, negative distance?

[anderkve]

Hi @sim-hal!

Apologies, I think we have a typo in equation (17): each exponential in the general solution should also contain a constant phase. So the general solution should have been written as

f(t) = A{+} \exp(-i \omega{+} t + \phi{+}) + A{-} \exp(-i \omega{-} t + \phi{-})

with A{+} > 0 and A{-} > 0. (Then the stated upper limit R{+} = A{+} + A_{-} is correct.)

I'll correct this on the project page now. And for those who don't see this correction in time: we won't subtract any points for confusion about the absolute value here.

Sorry for the confusion!