I want to know what is most interesting for me: delegates or functions.
I consulted sources but none say the practical consequences of such
election.

in addition to what john said: regarding _function literals_ the difference is by using a delegate instead of a function you have access to the enclosing frame, e.g. variables in the same scope.

the following code doesn't compile with the error "[...] cannot access frame of [...]":

int y;
auto fn= function(int x) {return x+y;};

if you change this to:

int y;
auto fn= delegate(int x) {return x+y;};

it compiles without error.

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