Generalizing the Algebra of Physical Quantities
نویسنده
چکیده
In this paper, I define and study an abstract algebraic structure, the dimensive algebra, which embodies the most general features of the algebra of dimensional physical quantities. I prove some elementary results about dimensive algebras and suggest some directions for future work. Copyright © 2003 Mark F. Sharlow. Updated 2009.
منابع مشابه
On some open problems in cone metric space over Banach algebra
In this paper we prove an analogue of Banach and Kannan fixed point theorems by generalizing the Lipschitz constat $k$, in generalized Lipschitz mapping on cone metric space over Banach algebra, which are answers for the open problems proposed by Sastry et al, [K. P. R. Sastry, G. A. Naidu, T. Bakeshie, Fixed point theorems in cone metric spaces with Banach algebra cones, Int. J. of Math. Sci. ...
متن کامل$varphi$-Connes amenability of dual Banach algebras
Generalizing the notion of character amenability for Banach algebras, we study the concept of $varphi$-Connes amenability of a dual Banach algebra $mathcal{A}$ with predual $mathcal{A}_*$, where $varphi$ is a homomorphism from $mathcal{A}$ onto $Bbb C$ that lies in $mathcal{A}_*$. Several characterizations of $varphi$-Connes amenability are given. We also prove that the follo...
متن کاملSemi-G-filters, Stonean filters, MTL-filters, divisible filters, BL-filters and regular filters in residuated lattices
At present, the filter theory of $BL$textit{-}algebras has been widelystudied, and some important results have been published (see for examplecite{4}, cite{5}, cite{xi}, cite{6}, cite{7}). In other works such ascite{BP}, cite{vii}, cite{xiii}, cite{xvi} a study of a filter theory inthe more general setting of residuated lattices is done, generalizing thatfor $BL$textit{-}algebras. Note that fil...
متن کاملP75: A Study of Perfectionism, Anxiety Sensitivity and Sleep Disturbance in the Generalizing Anxiety Disorder and Normal People
Perfectionism, anxiety sensitivity and sleep disturbance are among the main causes of generalizing anxiety disorder. This study aims to compare perfectionism, anxiety sensitivity and sleep disturbance between patients with generalizing anxiety disorder (GAD) and control group. The present study was a cross-sectional and ex-post facto investigation (causal comparative method). Statistical univer...
متن کاملUnderstanding Measurement in Light of Its Origins
During the course of history, the natural sciences have seen the development of increasingly convenient short-hand symbolic devices for denoting physical quantities. These devices ultimately took the form of physical algebra. However, the convenience of algebra arguably came at a cost - a loss of the clarity of direct insights by Euclid, Galileo, and Newton into natural quantitative relations. ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003