# Differences

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functions [2015/12/16 13:14] nikolaj |
functions [2015/12/16 13:16] (current) nikolaj |
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=== 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 | ||

$f(x):=\sum_{n=0}^\infty\frac{(-1)^{3n}}{n!}z^n$ | $f(x):=\sum_{n=0}^\infty\frac{(-1)^{3n}}{n!}z^n$ | ||

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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. |