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Jens
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I am trying to compose functions of $xleft$xleft,maybe maybe like $xleft[xleft[f]]$orxleft[xleft[f]] or even higher order. And here is my function $xleft := Function [{f}, D[f[x, y, z], x] - y*D[f[x, y, z], z]/2]$.:

xleft := Function [{f}, D[f[x, y, z], x] - y*D[f[x, y, z], z]/2]

But I couldn't make it work like $xleft[xleft[f]]$xleft[xleft[f]] since I guess there are problems of mapping different dimensions. Can somebody help me ?

I am trying to compose functions of $xleft$,maybe like $xleft[xleft[f]]$or even higher order. And here is my function $xleft := Function [{f}, D[f[x, y, z], x] - y*D[f[x, y, z], z]/2]$. But I couldn't make it work like $xleft[xleft[f]]$ since I guess there are problems of mapping different dimensions. Can somebody help me ?

I am trying to compose functions of xleft, maybe like xleft[xleft[f]] or even higher order. And here is my function:

xleft := Function [{f}, D[f[x, y, z], x] - y*D[f[x, y, z], z]/2]

But I couldn't make it work like xleft[xleft[f]] since I guess there are problems of mapping different dimensions. Can somebody help me ?

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Composition of Multivariable function

I am trying to compose functions of $xleft$,maybe like $xleft[xleft[f]]$or even higher order. And here is my function $xleft := Function [{f}, D[f[x, y, z], x] - y*D[f[x, y, z], z]/2]$. But I couldn't make it work like $xleft[xleft[f]]$ since I guess there are problems of mapping different dimensions. Can somebody help me ?