Mincing is a method of cutting ingredients into the smallest possible pieces approximately ⅛" or smaller. Mincing food distributes it evenly throughout the dish and allows it to cook quickly and release the most flavor. You can mince ingredients by hand, a food chopper or a food processor with a dicing kit, like this one available from KitchenAid.
Ingredients such as garlic and ginger are often minced in order to help their flavor blend into a dish without overpowering a single bite. This method helps create flavor and texture balance in a recipe.