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La tangente hiperbólica y la teoría de la relatividad

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  tanh(x)=v/c coth(x)=c/v = Ep(r)= Energía Potencial gravitatoria en función de la distancia (r) Proper velocity From Wikipedia, the free encyclopedia Jump to navigation Jump to search Not to be confused with proper motion . Log-log plot of γ (blue), v / c (cyan), and η (yellow) versus proper velocity w / c (i.e. momentum p / mc ). Note that w / c is tracked by v / c at low speeds and by γ at high speeds. The dashed red curve is γ − 1 ( kinetic energy K / mc 2 ), while the dashed magenta curve is the relativistic Doppler factor . In relativity , proper velocity , also known as celerity , is an alternative to velocity for measuring motion. Whereas velocity relative to an observer is distance per unit time where both distance and time are measured by the observer, proper velocity relative to an observer divides observer-measured distance by the time elapsed on the clocks of the ...