Niyilium Posted March 6, 2019 Share Posted March 6, 2019 (edited) I need someone to tell me what u(.,t) means when u is a function of x and t. x is in Rn Edited March 6, 2019 by Niyilium Incomplete Link to comment Share on other sites More sharing options...
taeto Posted March 6, 2019 Share Posted March 6, 2019 It means the function defined on \(\mathbb{R}^n\) that maps \(x\) to \(u(x,t).\) Link to comment Share on other sites More sharing options...
HallsofIvy Posted March 9, 2019 Share Posted March 9, 2019 For example, if u(x, t)= x2+ t2 then u(., t) is the function that takes 3 to the function u(3, t)= 9+ t2, that takes 5 to u(5, t)= 25+ t2, etc. It maps a number to a function. Link to comment Share on other sites More sharing options...
Strange Posted March 9, 2019 Share Posted March 9, 2019 Is this the same as currying? (I have never seen this notation before .... ) Link to comment Share on other sites More sharing options...
taeto Posted March 9, 2019 Share Posted March 9, 2019 1 hour ago, HallsofIvy said: For example, if u(x, t)= x2+ t2 then u(., t) is the function that takes 3 to the function u(3, t)= 9+ t2, that takes 5 to u(5, t)= 25+ t2, etc. It maps a number to a function. This is not an example of what I wrote . It also makes sense, but I cannot recall having seen it before. Link to comment Share on other sites More sharing options...
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