Incorrect (unexpected) output from TransformedField

*To*: mathgroup at smc.vnet.net*Subject*: [mg131439] Incorrect (unexpected) output from TransformedField*From*: ZdenÄk HurÃk <hurak at seznam.cz>*Date*: Tue, 23 Jul 2013 17:19:06 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-outx@smc.vnet.net*Delivered-to*: mathgroup-newsendx@smc.vnet.net

Hello, I seem to have troubles to understand the correct usage of TransformedField function (in version 9). Or the function contains a bug :-) Here goes a simple code with the source of my confusion =================================================== In[22]:= TransformedField[ "Polar" -> "Cartesian", {r, 0}, {r, \[Theta]} -> {x, y}] Out[22]= {x, y} =================================================== What I would expect as the cartesian description of a vector field originally given in polar coordinates as {r,theta} is {Abs[x],0}. Have I missed anything here? Thanks.