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State Farm Mutual Automobile Insurance Co. v. Campbell, 538 U.S. 408 (2003), was a case in which the United States Supreme Court held that the due process clause usually limits punitive damage awards to less than ten times the size of the compensatory damages awarded and that punitive damage awards of four times the compensatory damage award is "close to the line of constitutional impropriety".
A periodic motion is a closed curve in phase space. That is, for some period, ′ = (,), = (). The textbook example of a periodic motion is the undamped pendulum.. If the phase space is periodic in one or more coordinates, say () = (+), with a vector [clarification needed], then there is a second kind of periodic motions defined by
Motor Vehicle Manufacturers Association v. State Farm Mutual Automobile Insurance Co., 463 U.S. 29 (1983), commonly known in U.S. administrative law as State Farm, is a United States Supreme Court decision concerning regulations requiring passive restraints in cars.
Oct. 12—The civil dispute started with a car crash in eastern Kern County in 2017. It ended Tuesday in Kern County Superior Court when a jury awarded more than $8 million to a Rosamond woman and ...
The State Farm jingle ("Like a good neighbor, State Farm is there") was written by American singer-songwriter Barry Manilow in 1971. A cover was released by Weezer in 2011. [ 27 ] [ 28 ] State Farm's first commercial jingle was created for The Jack Benny Program in the 1960s.
Thus simple harmonic motion is a type of periodic motion. If energy is lost in the system, then the mass exhibits damped oscillation. Note if the real space and phase space plot are not co-linear, the phase space motion becomes elliptical. The area enclosed depends on the amplitude and the maximum momentum.
An animation of the figure-8 solution to the three-body problem over a single period T ≃ 6.3259 [13] 20 examples of periodic solutions to the three-body problem. In the 1970s, Michel Hénon and Roger A. Broucke each found a set of solutions that form part of the same family of solutions: the Broucke–Hénon–Hadjidemetriou family. In this ...
Floquet theory shows stability in Hill differential equation (introduced by George William Hill) approximating the motion of the moon as a harmonic oscillator in a periodic gravitational field. Bond softening and bond hardening in intense laser fields can be described in terms of solutions obtained from the Floquet theorem.