Please help me to be able to read the Christoffel symbol in EFE

[diazdaiz]

Homework Statement

understand the christoffel symbol

Relevant Equations

metric tensor, christoffel symbol

in video "Einstein Field Equation - for Beginner!" by "DrPhysicsA" on youtube, in 01:10:56, the christoffel symbol equation is written, then i see in "Physics Videos by Eugene Khutoryansky" video with title "Einstein's Field Equations of General Relativity Explained" in minute 05:02 on how the christoffel symbol is used and i able to understand how it's used, but then i come back to the first video, when i see "d" in the "g" superscript and "del x" superscript, i really loss on what is the "d" should be replace to (between 0-3?), can someone please explain it please so i am able to see from the equation and really able to understand why is it true for the christoffel symbol to be the correction that is explained in the second video, thank you very much

 

[DrClaude]

Next time, please put link to the videos you refer to:

 

[strangerep]

[...] can someone please explain it please so i am able to see from the equation and really able to understand why is it true for the christoffel symbol to be the correction that is explained in the second video, [...]

The textbook material you're asking for is too much to explain thoroughly in a PF post.

I don't think those videos are much good by themselves -- you really need to study a textbook (and do the exercises therein as you proceed). I suggest Carroll, "Spacetime and Geometry -- An introduction to General Relativity".