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This is the formula for the relativistic doppler shift where the difference in velocity between the emitter and observer is not on the x-axis. There are two special cases of this equation. The first is the case where the velocity between the emitter and observer is along the x-axis. In that case θ = 0, and cos θ = 1, which gives:
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Taiji relativity is a formulation of special relativity developed by Jong-Ping Hsu and Leonardo Hsu. [1] [11] [12] [13] The name of the theory, Taiji, is a Chinese word which refers to ultimate principles which predate the existence of the world. Hsu and Hsu claimed that measuring time in units of distance allowed them to develop a theory of ...
English: This file is the special relativity lecture of the Wikiversity:Special relativity and steps towards general relativity course. It is in pdf format for convenient viewing as a fullscreen, structured presentation in a classroom.
Translation by Megh Nad Saha in The Principle of Relativity: Original Papers by A. Einstein and H. Minkowski, University of Calcutta, 1920, pp. 1–34: :Introduced the special theory of relativity. Reconciled Maxwell's equations for electricity and magnetism with the laws of mechanics by introducing major changes to mechanics close to the speed ...
match updates in source code of File:Steps_towards_general_relativity_lecture.pdf, File:Vector basis polar coordinates.svg and File:One-form basis polar coordinates.svg: 08:08, 23 May 2012: 1,625 × 1,216, 294 pages (1.98 MB) Boud: new pdf generated using the updated source at File:Steps towards general relativity lecture.pdf: 08:39, 13 July 2011
In general relativity, an exact solution is a (typically closed form) solution of the Einstein field equations whose derivation does not invoke simplifying approximations of the equations, though the starting point for that derivation may be an idealized case like a perfectly spherical shape of matter.