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Checking Field Axioms for the Tropical Semiring
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=s-IgcWKrd2Q
In this exercise I'll show you how to proof / disproof all 9 field axioms with an example - the Tropical semiring. • ⏰ Timeline • 00:00 Exercise • 00:23 Commutativity of addition • 00:54 Associativity of addition • 01:58 Additive identity • 02:53 Additive inverse • 03:59 Commutativity of multiplication • 04:25 Associativity of multiplication • 04:50 Multiplicative identity • 05:29 Multiplicative inverse • 06:00 Distributivity • 07:25 Conclusion • 🔢 Ring definition • T := R union { -infinity } • x + y := max{ x, y } • x * y := x + y • (T, + , * , -infinity, 0) • 📜 All Discrete Mathematics Exercises • • Discrete Mathematics Exercises • 📜 All Linear Algebra Exercises • • Linear Algebra Exercises • 🖼️ Thumbnail icon credits • Palm icon made by Freepik from www.flaticon.com • Ring icon made by Freepik from www.flaticon.com
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