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multivariate function composition
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Anonymous
multivariate function composition 2016-01-11 23:51:18 Post No. 7776823
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multivariate function composition Anonymous 2016-01-11 23:51:18 Post No. 7776823 [Report]
So I know how to do basic function composition from R → R ( essentially, f(g(x)) ), but how would you do it with more than one variable and output? Say f: R2 → R2, and g: R2 → R3, then how would you compute f ∘ g?
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Anonymous 2016-01-11 23:57:15 Post No.7776838
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Anonymous 2016-01-11 23:57:15 Post No.7776838 [Report]
>Say f: R2 → R2, and g: R2 → R3, then how would you compute f ∘ g?
You wouldn't, because the domains don't match.
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Anonymous 2016-01-11 23:59:17 Post No.7776842
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Anonymous 2016-01-11 23:59:17 Post No.7776842 [Report]
>>7776823
>CS major detected
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Anonymous 2016-01-11 23:59:38 Post No.7776843
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Anonymous 2016-01-11 23:59:38 Post No.7776843 [Report]
>>7776838
fair enough, then how would you do it if the domains did match?
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Anonymous 2016-01-12 00:07:32 Post No.7776857
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Anonymous 2016-01-12 00:07:32 Post No.7776857 [Report]
>>7776843
g: R-> P(R) | x-> {x}
f: P(R)->P(P(R)) | {x}->{{x}}

ex:
f(g(1))={{1}}
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