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Applying a math equation to the acceleration of intelligence seems naive at best. We may develop sophisticated AI, but whatever these AI's invent will have to be made into a product. That requires convincing people of the merit of the idea and funding the idea. The age-old human element can't be left out or ignored. Technological advancement will occur faster no doubt, but our ability to convince people to accept it will not. This puts practical limitations on the concept of singularity. That's my two cents.