Given a two-input neuron with the following weight matrix and input vector: W = [3 -2] and p = [-7 7] ^T , we would like to have an output of 0.5. Do you suppose that there is a combination of bias and transfer function that might allow this?

1. Is there a transfer function from Table 2.1 that will do the job if the bias is zero?
2. Is there a bias that will do the job if the linear transfer function is used?  If yes, what is it?
3. Is there a bias that will do the job if a log-sigmoid transfer function is used? Again, if yes, what is it?
4. Is there a bias that will do the job if a symmetrical hard limit transfer function is used?  Again, if yes, what is it?