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math121b:02-05 [2020/02/04 21:24]
127.0.0.1 external edit
math121b:02-05 [2020/02/06 00:36] (current)
pzhou
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 Γf={(x,y,z)R3z=f(x,y)}.\Gamma_f = \{(x,y,z) \in \R^3 \mid z = f(x,y) \}.  Γf={(x,y,z)R3z=f(x,y)}.\Gamma_f = \{(x,y,z) \in \R^3 \mid z = f(x,y) \}.
 Here is a picture, [[https://www.wolframalpha.com/input/?i=plot+sin%28x%29sin%28y%29 | plotted using Wolfram alpha]] Here is a picture, [[https://www.wolframalpha.com/input/?i=plot+sin%28x%29sin%28y%29 | plotted using Wolfram alpha]]
-{{ :math121b:sinxsiny.gif?nolink |}}+{{ :math121b:sinxsiny.gif?nolink | }}
  
 ** Parametrization of Γf\Gamma_f **, we will parametrize points on Γf\Gamma_f using its (x,y)(x,y) coordinates, to be clear, we call them (u,v)(u,v). That is ** Parametrization of Γf\Gamma_f **, we will parametrize points on Γf\Gamma_f using its (x,y)(x,y) coordinates, to be clear, we call them (u,v)(u,v). That is
math121b/02-05.1580880273.txt.gz · Last modified: 2020/02/04 21:24 by 127.0.0.1