Exercise 1 (5 points). Let m2 2 be an integer. Find a smooth function f R2...

 

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Exercise 1 (5 points). Let m2 2 be an integer. Find a smooth function f R2 Rm with R². Hint: An f can be found whose rank(dof) = 0 and rank(d,f) = 2 for every other components fi are polynomial. Exercise 1 (5 points). Let m2 2 be an integer. Find a smooth function f R2 Rm with R². Hint: An f can be found whose rank(dof) = 0 and rank(d,f) = 2 for every other components fi are polynomial.

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Let ixy x2 y2 for 1im Then xy 1xymxy is a smoot... View the full answer