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Currently Playing: Relativity 106a: Tensors - Frequency Wave Covectors and Doppler Shift (with accelerating frames)

Full relativity playlist: https://www.youtube.com/playlist?list=PLJHszsWbB6hqlw73QjgZcFh4DrkQLSCQa Powerpoint slide files: https://github.com/eigenchris/MathNotes/tree/master/Relativity Leave me a tip: https://ko-fi.com/eigenchris Previous videos on covectors: Tensors for Beginners 4: https://www.youtube.com/watch?v=LNoQ_Q5JQMY Tensors for Beginners 5: https://www.youtube.com/watch?v=rG2q77qunSw Tensors for Beginners 6: https://www.youtube.com/watch?v=d5da-mcVJ20 0:00 Intro 1:59 Covector Basics 3:51 Covector Laws 6:33 Covector Components 9:25 Basis Covectors 13:02 Covectors Summary 14:30 Doppler Effect / Waves Intro 16:40 Wave Covector 18:26 Galilean Doppler Effect 23:02 Relativistic Doppler Effect (Inertial Frames) 28:20 Relativistic Doppler Effect (Accelerating Frame) 31:44 Conclusion