![]() ![]() ![]() If that didn't prove his intelligence, what would? Before he knew it, he had proved a new theorem. Along the way, he realized that one of his assumptions, in combination with the simplified Navier Stokes equations, had led him into an exploration of a particularly interesting family of partial differential equations. Lawrence dove into the problem, rapidly (or so he thought) covering both sides of ten sheets of paper with calculations. Basically it was a question of hydrodynamics, which could be tackled using certain well-known systems of differential equations. ![]() More complicated variations could be expected at bends in the river. The current would be faster in the middle of the river and slower at the banks. Clearly, 5 miles per hour was nothing more than the average speed. You would have to be some kind of idiot to make the facile assumption that the current would add or subtract 5 miles per hour to or from the speed of the boat. Lawrence immediately saw that it was a trick question. How long does it take to go from Port Smith to Port Jones? How long to come back? The boat goes through water at 10 miles per hour. ![]() The first question on the math part had to do with boats on a river: Port Smith is 100 miles upstream of Port Jones. “He walked straight out of college into the waiting arms of the Navy. ![]()
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