CD[][]-function

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Petr Tretyakov

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Jan 20, 2026, 5:21:45 AM (2 days ago) Jan 20
to xAct Tensor Computer Algebra
I try to study xAct by the video lessons of 
Konstantinos Anagnostopoulos in YouTube. I have a silly question: on about 01:03:00 of the first lesson he explain the difference  between usual and covariant derivatives i.e. functions PD[][] and CD[][]. I try to follow all actions on video and find that no such function CD[][]. Moreover if jump to the 0:09:50 moment of video, where he demonstrate all commands and functions of xAct package, we see that PD[][] exist, but CD[][] -- no such function in the list. There exist only CDIndexQ, CovD, CovDOfMetric, and so on. May be I missed something, but I can not to see in my Wolfram system nothing similar on 01:03:20 which is just standard notation for covariant derivative of vector.

Yuqian Zhao

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Jan 20, 2026, 6:26:39 AM (2 days ago) Jan 20
to xAct Tensor Computer Algebra
In general, you should have defined 'CD' when you defined the metric. For example, he used DefMetric[-1, g[-\mu,-\nu], CD] at about 00:20:00 of the video.

Petr Tretyakov

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Jan 21, 2026, 12:49:02 AM (yesterday) Jan 21
to xAct Tensor Computer Algebra
Thank you!
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