Row 38940

Row ID: 38940 | Dataset Entry | Axioma AXP Content Repository

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Ahh I see, it's basically using this theorem [here](https://en.wikipedia.org/wiki/Jet_(mathematics)?oldformat=true#Mappings_from_one_Euclidean_space_to_another). There is no 2nd order expansion, rather this is just the 1-Jet of the RHS of 10. I never knew you could do Taylor expansions of f: R\^n -> R\^m (I've only learned f: R\^m -> R).

I didn't find a derivation of this sort of Taylor expansion in my textbook (folland advanced calculus), I was planning on deriving it myself. Do you know where I can find a derivation of this (to cross-check)?

FieldValue
text Ahh I see, it's basically using this theorem [here](https://en.wikipedia.org/wiki/Jet_(mathematics)?oldformat=true#Mappings_from_one_Euclidean_space_to_another). There is no 2nd order expansion, rather this is just the 1-Jet of the RHS of 10. I never knew you could do Taylor expansions of f: R\^n -> R\^m (I've only learned f: R\^m -> R). I didn't find a derivation of this sort of Taylor expansion in my textbook (folland advanced calculus), I was planning on deriving it myself. Do you know where…
label r/machinelearning
dataType comment
communityName r/MachineLearning
datetime 2024-05-22
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  "text": "Ahh I see, it's basically using this theorem [here](https://en.wikipedia.org/wiki/Jet_(mathematics)?oldformat=true#Mappings_from_one_Euclidean_space_to_another). There is no 2nd order expansion, rather this is just the 1-Jet of the RHS of 10. I never knew you could do Taylor expansions of f: R\\^n -> R\\^m (I've only learned f: R\\^m -> R).\n\nI didn't find a derivation of this sort of Taylor expansion in my textbook (folland advanced calculus), I was planning on deriving it myself. Do you know where I can find a derivation of this (to cross-check)?",
  "label": "r/machinelearning",
  "dataType": "comment",
  "communityName": "r/MachineLearning",
  "datetime": "2024-05-22",
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