In Mathematics, we always abstract out problems/solution into mathematical objects. These mathematical objects help us to understand the concepts and apply the derived reasoning to other similar problems. These mathematical objects can be graphs, number line, simulation models. So, if you are modeling a move in a chess game, then you don't need physical chess pieces to do that, using mathematics concept you can do it using a "Graphs Model". The vertices of the graph can represent a possible position in the game and the edge between any two vertices can represent a legal move. As below figure shows possible moves of the rook in chess (Horizontal and Vertical).

We are witnessing a new type of silent revolution that world has never experienced before. This revolution has speed, variety, diversity, and impact. The emerging technologies are not just changing any particular sector, but everything around us that we see. Technologies like IoT, Big Data, Blockchain, and of course AI have such a huge potential that it is silently disrupting everything.