Name: Deriving Laws from Ordering Relations (en Inglés)
Price: 28.69 USD
Availability: InStock
Author: Knuth, Kevin H. ; Nasa Technical Reports Server (Ntrs)
ISBN: 9781289147730

portada Deriving Laws from Ordering Relations (en Inglés)

Deriving Laws from Ordering Relations (en Inglés)

Formato

Libro Físico

Autor

Nasa Technical Reports Server (Ntrs)

Kevin H. Knuth

Editorial

Bibliogov

Idioma

Inglés

N° páginas

Encuadernación

Tapa Blanda

Dimensiones

24.6 x 18.9 x 0.2 cm

Peso

0.08 kg.

ISBN13

9781289147730

Categorías

Política y gobierno

Deriving Laws from Ordering Relations (en Inglés)

Nasa Technical Reports Server (Ntrs) (Autor) · Kevin H. Knuth (Autor) · Bibliogov · Tapa Blanda

Libro Nuevo Importado

Envío: 21 a 28 días háb.

$ 57.39$ 28.69

-50%

Costos de importación incluídos en el precio ✅

Libro Nuevo

Quedan más de 100 unidades

$ 28.69

Llega entre el 10 Sep y el 23 Sep a Quito, Pichincha. Seleccionar ubicación

Agregar a lista de deseos

Reseña del libro "Deriving Laws from Ordering Relations (en Inglés)"

The effect of Richard T. Cox's contribution to probability theory was to generalize Boolean implication among logical statements to degrees of implication, which are manipulated using rules derived from consistency with Boolean algebra. These rules are known as the sum rule, the product rule and Bayes Theorem, and the measure resulting from this generalization is probability. In this paper, I will describe how Cox s technique can be further generalized to include other algebras and hence other problems in science and mathematics. The result is a methodology that can be used to generalize an algebra to a calculus by relying on consistency with order theory to derive the laws of the calculus. My goals are to clear up the mysteries as to why the same basic structure found in probability theory appears in other contexts, to better understand the foundations of probability theory, and to extend these ideas to other areas by developing new mathematics and new physics. The relevance of this methodology will be demonstrated using examples from probability theory, number theory, geometry, information theory, and quantum mechanics.