Properties can be obtained to have an unknown function must meet the following two conditions: (at this point it is concluded that the function of form has uniqueness)
1. The function with a may return characteristics described in the form of;
2. A known arguments? The input values, a corresponding known function output value;
Otherwise, only with the help of a known? Mathematical algorithm to reverse calculation of the definition of validation, it is concluded that meet no longer has uniqueness, verify the function of week or a, or is zero, or is more! Is a function it can be written in the language background of course, because of the background can be infinitely self calculation (successive, regardless of positive and negative)! And function of the application is under the known input parameters of a particular input, can be concluded that the output is ok!
Known as f (x)? 1=2 f (x) + 1 and f (1)=1, f (x)=?
As one of the forms,? 2 x to the power of minus 1, return validation satisfy these two conditions can!!!!!!
As for the other form, depends on your imagination? !!!!! Ha ha ha ha ga... ? Probably this is mathematics, a reverse with creativity and reverse thinking subject!!!!!! ?
This is the origin function definition!!!!!! This is why why ai specifically asked proficient in mathematics!!!!!! ? So just enough to make you the description of the human brain idea of function, and ability to record in the form of data, can be improved further to request the imagination of the human brain (this is too difficult! To the definition of artificial intelligence!!!!!!