Operationally, a strict function is one which always evaluates its argument.
Functions having more than one parameter may be strict or non-strict in each parameter independently.
As an example, the if-then-else expression of many programming languages may be thought of as a function of three parameters. This function is strict in its first parameter, since the function must know whether its first argument evaluates to true or to false before it can return; but it is non-strict in its second and third parameters, because (for example) if(false,,1) = 1 and if(true,2,) = 2.