The Electron

The Electron
Author: George Paget Thomson
Publisher:
Total Pages: 100
Release: 1972
Genre: Electrons
ISBN:

Atomic Spectra and Atomic Structure

Atomic Spectra and Atomic Structure
Author: Gerhard Herzberg
Publisher: Courier Corporation
Total Pages: 292
Release: 1944-01-01
Genre: Science
ISBN: 9780486601151

For beginners and specialists in other fields: the Nobel Laureate's introduction to atomic spectra and their relationship to atomic structures, stressing basics in a physical, rather than mathematical, treatment. 80 illustrations.

Foundations of Finitely Supported Structures

Foundations of Finitely Supported Structures
Author: Andrei Alexandru
Publisher: Springer Nature
Total Pages: 204
Release: 2020-07-20
Genre: Computers
ISBN: 3030529622

This book presents a set theoretical development for the foundations of the theory of atomic and finitely supported structures. It analyzes whether a classical result can be adequately reformulated by replacing a 'non-atomic structure' with an 'atomic, finitely supported structure’. It also presents many specific properties, such as finiteness, cardinality, connectivity, fixed point, order and uniformity, of finitely supported atomic structures that do not have non-atomic correspondents. In the framework of finitely supported sets, the authors analyze the consistency of various forms of choice and related results. They introduce and study the notion of 'cardinality' by presenting various order and arithmetic properties. Finitely supported partially ordered sets, chain complete sets, lattices and Galois connections are studied, and new fixed point, calculability and approximation properties are presented. In this framework, the authors study the finitely supported L-fuzzy subsets of a finitely supported set and the finitely supported fuzzy subgroups of a finitely supported group. Several pairwise non-equivalent definitions for the notion of 'infinity' (Dedekind infinity, Mostowski infinity, Kuratowski infinity, Tarski infinity, ascending infinity) are introduced, compared and studied in the new framework. Relevant examples of sets that satisfy some forms of infinity while not satisfying others are provided. Uniformly supported sets are analyzed, and certain surprising properties are presented. Finally, some variations of the finite support requirement are discussed. The book will be of value to researchers in the foundations of set theory, algebra and logic.

Atomic Design

Atomic Design
Author: Brad Frost
Publisher:
Total Pages:
Release: 2016-12-05
Genre:
ISBN: 9780998296609