apr07 - MIT OpenCourseWare http://ocw.mit.edu 6.055J /...

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Unformatted text preview: MIT OpenCourseWare http://ocw.mit.edu 6.055J / 2.038J The Art of Approximation in Science and Engineering Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . Chapter 11 Bon voyage! The theme of this book is how to understand new fields, whether the field is known gen- erally but is new to you; or the field is new to everyone. In either case, certain ways of thinking promote understanding and long-term learning. This afterword illustrates these ways by using an example that has appeared twice in the book the volume of a pyramid. 11.1 Remember nothing! The volume is proportional to the height, because of the drilling-core argument. So V h . But a dimensionally correct expression for the volume needs two additional lengths. They can come only from b 2 . So V bh 2 . But what is the constant? It turns out to be 1 / 3 . 11.2 Connect to other problems Is that 3 in the denominator new information to remember? No! That piece of information Is that 3 in the denominator new information to remember?...
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This note was uploaded on 02/24/2012 for the course MECHANICAL 6.055J taught by Professor Sanjoymahajan during the Spring '08 term at MIT.

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apr07 - MIT OpenCourseWare http://ocw.mit.edu 6.055J /...

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