Another perturbation method is to assume that there is a solution to the perturbed equation of the form f + εg1 + ε2g2 +... etc., in which the g1, g2,... etc., are unknown, and then to substitute this series into the equation, resulting in a collection of equations to solve corresponding to each power of ε.
Although the techniques of perturbation theory have become ever more sophisticated it is somewhat disturbing that perturbative methods could not be avoided even in principle.
But it is also an angel, and Mary shows her perturbation and awe at the message she receives.
For this purpose it relies on the concept of equilibrium, similar to the resting place of the pendulum, which is the same irrespective of any temporary perturbation.
(Again, this was done by observing the effects of gravitational perturbation, this time on the light of the stars in question).
When a high power microwave pulse in the gigahertz range strikes the body, a small temperature perturbation occurs.
The great glaciers impose order on the icy sprawl, flowing down to a semi-frozen sea.The ice cap is still, frozen in perturbation.
The name "temperature jump" is usually reserved for the relaxation technique in which a stepwise temperature perturbation is achieved by passing a large electric current through the solution under study and thus heating it almost instantaneously; another method is to apply ultrasonic radiation to the system.
Provided that the rise time of the temperature pulse is much shorter and the thermal re-equilibration time much longer than the response time of the chemical reaction being studied, the temperature jump can be approximated as a step perturbation.
This equilibrium must be stable, which is to say that the plasma will return to its original state following any small perturbation, such as continual random thermal "noise" fluctuations.
This "perturbation" was interpreted as being caused by the gravitational pull of two planetary companions having orbital periods of 13.5 and 19 years, respectively, and masses of about two-thirds that of Jupiter.
