A random walk is a mathematical model for the movement of a particle that is under the influence of some random or stochastic mechanism that affects its direction of movement. Physical situations that can be described by random walks...
You can use a spherical blackboard for many things, including the teaching of geographical coordinates, as a model for a closed Universe, or simply as a mathematical shape.
In the non-Euclidean geometry of the sphere, a circle will have a...
Curved space segment for open universe geometry.
Whether the Universe continues to expand forever or will collapse back in upon itself depends upon the amount of matter it contains. For a density parameter Ω less than unity the Universe will...
Coupled, double, physical pendulum executes chaotic motion when non-linear initial conditions are imposed.
A double pendulum executes simple harmonic motion (two normal modes) when displacements from equilibrium are small. However, when...
We start with a vertical wheel—like a Ferris Wheel, but with a diameter just under 1 meter—in neutral equilibrium and free to rotate in either direction. From the ends of each of the eight spokes hang small buckets with drainage holes cut...
