(n,m) to (n+1,m) derivatives in Wald

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Could someone please explain the partial and covariant derivatives with upstairs index that appears all of a sudden in Wald in section 4.2 with no explanation? I haven't seen it anywhere else.

Homework Statement



(n,m)→(n+1,m) derivatives

Homework Equations



section 4.2--when the stress tensor is introduced, with downstairs indexes

The Attempt at a Solution



it was mentioned earlier by Wald; just didn't see it
 
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Can you perhaps scan the relevant extract ? I don't have Wald handy right now.
 

Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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