#axonometricprojection — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #axonometricprojection, aggregated by home.social.
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Spherical Harmonic
You can build rectangular pulses from wavy sine and cosine functions. You can decompose any function into its harmonics. You can do the same for functions that live on a sphere: Cover the surface of the earth with flag poles, and raise flags everywhere - gradually varying the exact height of the flag. How the position of the flag depends on longitude and latitude - this is the function. If the height varies smoothly from flag pole to flag pole, this is a well-behaved function of the kind […] -
Spherical Harmonic
You can build rectangular pulses from wavy sine and cosine functions. You can decompose any function into its harmonics. You can do the same for functions that live on a sphere: Cover the surface of the earth with flag poles, and raise flags everywhere - gradually varying the exact height of the flag. How the position of the flag depends on longitude and latitude - this is the function. If the height varies smoothly from flag pole to flag pole, this is a well-behaved function of the kind […] -
Mass Shell
Space and time are rotated into each other. Momentum and energy are as well. This rotation in four dimensions is of an unusual, hyperbolic kind. Which is the source of all so-called paradoxa in special relativity. Best to avoid thinking of clocks, rulers, trains, and observers. Just stick to the geometry. When a classical particle moves (classical in the sense of "non-quantum", but relativistic), it is constrained to the mass shell: a three-dimensional hyper-surface in the […] -
Mass Shell
Space and time are rotated into each other. Momentum and energy are as well. This rotation in four dimensions is of an unusual, hyperbolic kind. Which is the source of all so-called paradoxa in special relativity. Best to avoid thinking of clocks, rulers, trains, and observers. Just stick to the geometry. When a classical particle moves (classical in the sense of "non-quantum", but relativistic), it is constrained to the mass shell: a three-dimensional hyper-surface in the […]