Μηχανές και Μονοειδή

• Κύριοι συγγραφείς: Γεωργίου, Δημήτριος, Georgiou, Dimitrios
• Μορφή: 7
• Γλώσσα: Greek
• Έκδοση: 2015
• Θέματα: Συμπεριλήψεις και σχέσεις ισοδυναμίας; Μερικώς διατεταγμένα σύνολα; Πλέγματα και λογικές άλγεβρες; Μονοειδή και ομάδες; Συμμετρίες; Μεταθέσεις; Δακτύλιοι και πεδία.; Inclusions and Equivalence relations; Partially Ordered Sets; Grids and Boolean Algebras; Monoids and Groups; Symmetries; Permutations; Rings and Fields

Three are the basic types of relations that are considered in discrete mathematics: Equivalence relations, the partial order relations and functions. A special form of functions is the binary operator which will used in this chapter, as it is a great tool for combining functions. The combinations of functions are called compositions. Particular algebraic structures, monoids and groups, are briefly described in the next part of it of capital. The choice of this topic was made based on the usefulness of these structures in their use computers or even in computer science applications. Variety of course systems, such as crystals and hydrogen atoms, can be modeled by symmetric groups. Group theory and the closely related representation theory therefore have many important implications applications in physics, chemistry, and materials science. Group theory is also fundamental to public key cryptography theory. In particular, however, the user of this e-book the study of symmetry groups is of interest, as the specific groups present a particularly large interest in computer science. Finally, elements of functions, data flows, and directed graphs will be combined to to present the mathematical models called Machines.