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Observations of Foucault pendulums, popular in science museums around the world, demonstrate both that the world is spherical and that it rotates (not that the stars are rotating around it). The mathematics of navigation using Global Positioning System (GPS) satellites assumes that they are moving in known orbits around an approximately ...
Sommerfeld showed that, if electronic orbits are elliptical instead of circular (as in Bohr's model of the atom), the fine-structure of the hydrogen atom can be described. The Bohr–Sommerfeld model added to the quantized angular momentum condition of the Bohr model with a radial quantization (condition by William Wilson , the Wilson ...
The theorem states that any elliptic curve over can be obtained via a rational map with integer coefficients from the classical modular curve X 0 (N) for some integer N; this is a curve with integer coefficients with an explicit definition.
Elliptical distribution, in statistics; Flattening, also called ellipticity and oblateness, is a measure of the compression of a circle or sphere along a diameter to form an ellipse or an ellipsoid of revolution (spheroid), respectively. Focaloid, a shell bounded by two concentric, confocal ellipsoids; Geodesics on an ellipsoid
Grab your mask and walk into any gym and you’re bound to see two cardio machines getting a lot of use: the elliptical and the treadmill. At some gyms, both pieces of workout equipment are so ...
The elliptical umbilics and hyperbolic umbilics have distinctly different focal surfaces. A ridge on the surface corresponds to a cuspidal edges so each sheet of the elliptical focal surface will have three cuspidal edges which come together at the umbilic focus and then switch to the other sheet. For a hyperbolic umbilic there is a single ...
An elliptical machine may be more challenging to use for individuals with balance or coordination problems, which could result in injuries. That said, injuries resulting from tripping on or ...
Combine elliptical training with upper-body exercises to increase calorie burn and engage more muscles. Incorporate intervals of arm movements, such as pushing and pulling the handles while pedaling.