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Orthogonal regions address the frequent problem of a combinatorial increase in the number of states when the behavior of a system is fragmented into independent, concurrently active parts. For example, apart from the main keypad, a computer keyboard has an independent numeric keypad. From the previous discussion, recall the two states of the main keypad already identified: "default" and "caps_locked" (see Figure 1). The numeric keypad also can be in two states—"numbers" and "arrows"—depending on whether Num Lock is active. The complete state space of the keyboard in the standard decomposition is the
[[Image:UML state machine Fig4.png|thumb|upright=3|center|Figure 4: Two orthogonal regions (main keypad and numeric keypad) of a computer keyboard]]
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