Mechanical Engineering, Indian Institute of
Science, Bangalore 560 012, India
Optimization hinders evolution!
ME256
Variational methods and structural optimization
Jan.-May, 2012
Instructor: G. K.
Ananthasuresh, Room 106, ME Building, suresh at
mecheng.iisc.ernet.in
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Homework #3
Assigned: Jan. 24th, 2012
Due: Jan. 31st, 2012
Points: 30
Additional points for work that is beyond instructor's expectation!
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15 points
Take the first variation of the following functionals.
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15 points
Consider a set the members of which contain a pair of numbers {a,b} where a < or = b. Given the following addition
and multiplication operations on two members of such a set, namely {a,b} and {c,d}, check if this set is a field
in the sense it is defined in the handout.
{a,b} + {c,d} = {a+c, b+d}
{a,b} . {c,d} = {min(a*c, a*d, b*c, b*d), max(a*c, a*d, b*c, b*d)}