A Blog on Lattices and it's uses
Vishwakarma Institute of Technology Discrete Structures Blog on Lattices Prepared by: 3 Abhishek Dighekar 5 Atharv Bagade 19 Harish Garud 22 Haripriya Arya Topics: 1. General introduction to Lattices 2. Properties of Lattices 3. Types of Lattices 4. Real life applications of lattices 1) Introduction to Lattices: A lattice is an abstract structure studied in the mathematical sub-disciplines of order theory and abstract algebra. Lattices can also be characterized as algebraic structures satisfying certain axiomatic identities. Lattice theory is based on a single undefined relation, the inclusion relation x^y. In this it resembles group theory, which is based on one undefined operation, group multiplication. A lattice is a poset in (L,≤) in which every subset {a,b} consisting of two elements has a least upper bound and a greatest lower bound. LUB({a,b})...