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A transformation consisting of rotations and translations which leaves a given arrangement unchanged.

The system of partial differential equations describing fluid flow in the absence of viscosity, given by (partialu)/(partialt)+u·del u=-(del P)/rho, where u is the fluid ...

Given a simple harmonic oscillator with a quadratic perturbation, write the perturbation term in the form alphaepsilonx^2, x^..+omega_0^2x-alphaepsilonx^2=0, (1) find the ...

Also known as Kolmogorov entropy, Kolmogorov-Sinai entropy, or KS entropy. The metric entropy is 0 for nonchaotic motion and >0 for chaotic motion.

Any motion of a rigid body in space at every instant is a screw motion. This theorem was proved by Mozzi and Cauchy.

A linkage used in the original steam engine to turn back-and-forth motion into approximately straight-line motion.

A device consisting of two coupled pendula, usually oscillating at right angles to each other, which are attached to a pen. The resulting motion can produce beautiful, ...

An integral of motion which restricts the phase space available to a dynamical system.

Two unit-speed plane curves which have the same curvature differ only by a Euclidean motion.

A double rhomboid linkage which gives rectilinear motion from circular without an inversion.