Geometry and Meaning (Lecture Notes) by Dominic Widdows

By Dominic Widdows

From Pythagoras's harmonic series to Einstein's thought of relativity, geometric types of place, proximity, ratio, and the underlying houses of actual house have supplied us with robust principles and exact clinical instruments. at the moment, comparable geometric versions are being utilized to a different kind of space—the conceptual house of knowledge and which means, the place the contributions of Pythagoras and Einstein are part of the panorama itself. the wealthy geometry of conceptual area will be glimpsed, for example, in net records: whereas the records themselves outline a constitution of visible layouts and point-to-point hyperlinks, se's create an extra constitution via matching key terms to within reach files in a spatial association of content material. What the Geometry of Meaning offers is a much-needed exploration of computational innovations to symbolize that means and of the conceptual areas on which those representations are founded.

Show description

Read Online or Download Geometry and Meaning (Lecture Notes) PDF

Best geometry & topology books

Finsler Geometry: An Approach via Randers Spaces

"Finsler Geometry: An process through Randers areas" solely offers with a distinct type of Finsler metrics -- Randers metrics, that are outlined because the sum of a Riemannian metric and a 1-form. Randers metrics derive from the study on basic Relativity idea and feature been utilized in lots of parts of the typical sciences.

Mathematical Concepts

The most goal of this booklet is to explain and increase the conceptual, structural and summary considering arithmetic. particular mathematical buildings are used to demonstrate the conceptual strategy; supplying a deeper perception into mutual relationships and summary universal positive aspects. those rules are conscientiously influenced, defined and illustrated through examples in order that the various extra technical proofs might be passed over.

Modern General Topology (Bibliotheca Mathematica)

Bibliotheca Mathematica: a chain of Monographs on natural and utilized arithmetic, quantity VII: smooth common Topology specializes in the tactics, operations, ideas, and ways hired in natural and utilized arithmetic, together with areas, cardinal and ordinal numbers, and mappings. The ebook first elaborates on set, cardinal and ordinal numbers, uncomplicated innovations in topological areas, and diverse topological areas.

Fractal Functions, Fractal Surfaces, and Wavelets

Fractal capabilities, Fractal Surfaces, and Wavelets, moment variation, is the 1st systematic exposition of the idea of neighborhood iterated functionality structures, neighborhood fractal capabilities and fractal surfaces, and their connections to wavelets and wavelet units. The e-book relies on Massopust’s paintings on and contributions to the idea of fractal interpolation, and the writer makes use of a few tools—including research, topology, algebra, and likelihood theory—to introduce readers to this fascinating topic.

Additional info for Geometry and Meaning (Lecture Notes)

Sample text

Download PDF sample

Rated 4.53 of 5 – based on 41 votes