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9.40.3 Can you answer these questions?

9.40.3.1 DigitQ, LetterQ, UpperCaseQ, LowerCaseQ on empty string
9.40.3.2 Speed up this computation involving NSolve many times?
9.40.3.3 functional derivative with respect to the partial derivative of the metric with xAct
9.40.3.1 DigitQ, LetterQ, UpperCaseQ, LowerCaseQ on empty string

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=293233 

Is this a bug or I am missing something? 
 #[""] & /@ {DigitQ, LetterQ, UpperCaseQ, LowerCaseQ} 
 
 
... 
[pattern-matching] [string-manipulation]
asked by azerbajdzan https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=53172 Score of 1
9.40.3.2 Speed up this computation involving NSolve many times?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=293362 

Can you think of a way of speeding up this computation ? I don't. 
... 
[equation-solving] [performance-tuning] [generative-art]
asked by anderstood https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=18767 Score of 4
9.40.3.3 functional derivative with respect to the partial derivative of the metric with xAct

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=293404 

I want to compute the functional derivative with respect to a partial derivative of the metric with the mathematica package xAct. 
This is what I have tried so far: 
... 
[xact]
asked by Carmen López Jurado https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=95584 Score of 1

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