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Re: Q: pattern in list of derivatives

  • To: mathgroup at smc.vnet.net
  • Subject: [mg22758] Re: [mg22696] Q: pattern in list of derivatives
  • From: BobHanlon at aol.com
  • Date: Fri, 24 Mar 2000 03:28:05 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

expr = a*D[u[x, y], y] + c*D[D[u[x, y], x], y]

a*Derivative[0, 1][u][x, y] + c*Derivative[1, 1][u][x, y]

The pattern for the derivative needs two underlines since you are trying to 
match a sequence.

Cases[{expr}, Derivative[__][u][x, y], -1]

{Derivative[0, 1][u][x, y], Derivative[1, 1][u][x, y]}

Bob Hanlon

In a message dated 3/22/2000 1:53:13 AM, k.duellmann at uni-mannheim.de writes:

>I can extract all derivatives from
>
>e.g. s1 = a u'[x] + a u''[x]
>
>by Cases[{s1}, Derivative[_][u][x],-1] and get
>
>{u'[x],u''[x]}
>
>
>But for mixed derivatives
>
>e.g. {a u[x,y]^(0,1) + c u[x,y]^(1,1)}
>
>the correponding command Cases[{s1}, Derivative[_][u][x,y],-1]
>doesn't work and I receive only the empty list {}.


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