Here, " x a " is its instantaneous magnitude of oscillation, \ omega _ a its natural oscillation frequency, and \ tau _ 0 its natural lifetime:
12.
In rejoinder, Walker, the theory's author, says that periodic deep eruptions might simply modify the natural oscillations of sea and atmosphere, stressing that he is not proposing volcanism as the sole cause.
13.
A familiar example is a playground phase " with the swing's natural oscillations, while some of the swing's energy is actually extracted by the opposing force of the pushes when they are not.
14.
For example, he says, there is a growing body of evidence that the warming in the early part of the century resulted from a natural oscillation in the surface temperature of the North Atlantic Ocean.
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