I'm studying threshold functions and am a bit stuck with x↓y.
As I understand it, threshold functions return 1 when the sum of the weigths is greater than or equal to the threshold F and 0 when it's lower than F. Now, given the x↓y truth table...
| x | y | x↓y | | 0 | 0 | 1 | | 0 | 1 | 0 | | 1 | 0 | 0 | | 1 | 1 | 0 |
...one can surely say that it's not a threshold function since the output is inverted (1 when lower than F and 0 otherwise), but there's an actual division of the output in the sense that the 1s are at one side and the 0s at the other.
¿Should I consider NOR a threshold function or should I not?