Jet ll-Il be an absolute porm. which sat shes the olant oroertes
(a) The p-porms are absolute norms. Glen & counter-example of an absolute porr
Io) Shov that. is an dosolate norm
(e) Show that for all o So ≤ w, lull ≤ holl.
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2. Conser the lollowing uncertainty sets
M=((3,4,0)|==u-o,u20,020,|u-o||≤r},
Ma=((3,4,0)|==u-o,u20,020|u+o||≤r)
where lal be an absolute nerm
(a) Shov that
Would the results be true for non atsolute nonis
(b) Shov that la C K.
I© Denve the robust counterpart dl
W=+ du+ yo St V(=,u,v) € Va-
D. Conskler the laloving detributionaly rotust cotanizatico problem
in sup Ee (V(a(3,¿Y z +43,3))
(a) Derive the explicit fomubaticn of tbe dsst:abuticaaly robust optimization prob-
To) tor a oven rE derive an exo:ct lonulston to determie the worst-cas
probability distribution.
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