射手座
发表于 2025-3-26 21:05:10
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Jingoism
发表于 2025-3-27 02:21:23
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Addictive
发表于 2025-3-27 08:17:31
NotationLet . and . be sets in a (mostly commutative) group. We will call the group operation addition and use additive notation. The . of these sets is .∈ .∈
Between
发表于 2025-3-27 10:34:58
Cardinality inequalitiesLet . be sets in a group, |.|=., |.|=.. The cardinality of A+B can be anywhere between max(.) and .. Our aim is to understand the connection between this size and the structure of these sets.
DEVIL
发表于 2025-3-27 17:24:34
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Serenity
发表于 2025-3-27 18:23:56
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倾听
发表于 2025-3-27 23:45:24
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FIN
发表于 2025-3-28 02:40:23
ExercisesThe next collection of exercises is deliberately vague. The number of points is my estimate for the difficulty. This naturally depends on expertise; some of them were told in the course; then naturally the difficulty turns to 0.
悲观
发表于 2025-3-28 09:48:45
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Firefly
发表于 2025-3-28 13:12:11
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