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Tree successor algebra

A new branch in mathematics

Jesse Sakari Hyttinen

$176.95   $141.34

Paperback

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English
Bod - Books on Demand
29 June 2023
Tree successor algebra: A new branch in mathematics is a book about a formal theory of tree generation with an axiomatic basis for a new object called collection space. The elements of this space, in other words collections, have a clear connection to rooted trees and are treated as variables in sum form equations, the application area of tree successor algebra. With connections to different branches of mathematics such as number theory, linear algebra and algebra, tree successor algebra shows a fundamental link between rooted tree generation and partition generation, establishing a well-defined order in which rooted trees are generated. This in turn makes it possible to define a successor operator, the unit of least action in tree generation, and generalize it in order to create a concept of tree sequences. Due to this, the concept of the infinite sequence of all rooted trees can be formed, and the notion of a rooted tree line, and thus the need for tools to solve sum form equations rises. The axiomatic system answers to this need.
By:  
Imprint:   Bod - Books on Demand
Dimensions:   Height: 246mm,  Width: 189mm,  Spine: 30mm
Weight:   1.021kg
ISBN:   9789523395787
ISBN 10:   9523395785
Pages:   580
Publication Date:  
Audience:   General/trade ,  ELT Advanced
Format:   Paperback
Publisher's Status:   Active

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