That will depend on the function of the linear circuit and the spectrum of the AC source. Without knowing both of those things there is no way to answer this, and you haven't specified either one.
of course you can
You cannot apply ohm's law to non-linear devices. This is because, the non-linearity introduces different V-I characteristics which cannot be answered by mere Ohm's law.
there will be no neutral point in the circuit and high voltage will be across the transformer coils
Linear programming approach does not apply the same way in different applications. In some advanced applications, the equations used for linear programming are quite complex.
something
yes
The word straight doesn't really apply to an equation. However the graph of a linear equation is a straight line.
yes, of course.
Yes, superposition theorem holds true in AC circuits as well. You must first convert an AC circuit to the phasor domain and the same rules apply.
Google Patents is a good source to see how many product patents there are. It is also a good source to apply for one.
To simplify a circuit you must first find a Boolean expression for the circuit and then apply Boolean algebra to take it down to the simplest form, to implement the fewest gates.
The main issue would be the integrity of the source. Journalist apply different methods to verify the news items before publishing it but that won't necessarily happen with bloggers.