# Differences

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 functions [2015/12/16 13:14]nikolaj functions [2015/12/16 13:16] (current)nikolaj Both sides previous revision Previous revision 2015/12/16 13:16 nikolaj 2015/12/16 13:14 nikolaj 2015/12/16 13:13 nikolaj 2015/12/14 10:35 nikolaj 2015/12/14 10:34 nikolaj 2015/12/14 10:34 nikolaj 2015/12/14 10:31 nikolaj 2014/12/26 16:06 nikolaj 2014/12/26 15:24 nikolaj created2013/05/04 23:50 nikolaj removed2013/05/04 23:48 dt 2013/05/04 23:29 nikolaj 2013/05/04 23:23 nikolaj created 2015/12/16 13:16 nikolaj 2015/12/16 13:14 nikolaj 2015/12/16 13:13 nikolaj 2015/12/14 10:35 nikolaj 2015/12/14 10:34 nikolaj 2015/12/14 10:34 nikolaj 2015/12/14 10:31 nikolaj 2014/12/26 16:06 nikolaj 2014/12/26 15:24 nikolaj created2013/05/04 23:50 nikolaj removed2013/05/04 23:48 dt 2013/05/04 23:29 nikolaj 2013/05/04 23:23 nikolaj created Line 5: Line 5: ----- ----- === Discussion === === Discussion === - Caution ​1: Man function definitions are implicit, sometimes secretly so. E.g. defining ​ + == Many definitions are implcit == + Caution: ​ + Many function definitions are implicit, sometimes secretly so. E.g. defining ​ $f(x):​=\sum_{n=0}^\infty\frac{(-1)^{3n}}{n!}z^n$ ​ $f(x):​=\sum_{n=0}^\infty\frac{(-1)^{3n}}{n!}z^n$ ​ Line 15: Line 17: and a Limit definition is always a Task to find said limit. and a Limit definition is always a Task to find said limit. - Caution ​2: In the function ​Definition, the domain of the function, as well as variables in context, are stated quite broadly - it must be checked if the to-be-function would return a value for any given input. ​ + == Practically speaking, uor functions are partitially defined == + Caution: In the function ​definition, the domain of the function, as well as variables in context, are stated quite broadly - it must be checked if the to-be-function would return a value for any given input. ​ In that sense, "​Functions"​ really is "​Partial functions",​ a priori, although I try to state good valid domains on AoC. In that sense, "​Functions"​ really is "​Partial functions",​ a priori, although I try to state good valid domains on AoC.