Intervals in Space-Time: A. D. Alexandrov is 85

Intervals in Space-Time: A. D. Alexandrov is 85 Reliable Computing 4: 109–112, 1998. 109 c 1998 Kluwer Academic Publishers. Printed in the Netherlands. Intervals in Space-Time: A. D. Alexandrov is 85 ALEXANDER LEVICHEV Department of Mathematics, Boston University, Boston, MA 02215, USA, e-mail: levit@math.bu.edu and OLGA KOSHELEVA Department of Electrical and Computer Engineering, University of Texas at El Paso, El Paso, TX 79968, USA, e-mail: olga@ece.utep.edu On August 12, 1997, Alexander Danilovich Alexandrov, the well-known geometer, a member of the Russian Academy of Sciences and of several foreign academies, will turn 85. A. D. Alexandrov’s seminal research papers cover areas ranging from quan- tum mechanics to geometry to philosophy of science. In particular, his innovative approach to foundations of space-time geometry is directly related to intervals and interval computations. In this short text, we will briefly describe his interval-related results. Before Alexandrov: 1-dimensional intervals that correspond to measuring time. Let us first describe a non-relativistic situation. In non-relativistic (New- tonian) physics, every event is characterized by a single number t (its moment of time). An event with a larger value of t occurs after the event with a smaller value of time. (In this sense, in Newtonian physics, temporal order is 1-dimensional.) Measurement inaccuracies make this simple http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

Intervals in Space-Time: A. D. Alexandrov is 85

Loading next page...
 
/lp/springer_journal/intervals-in-space-time-a-d-alexandrov-is-85-xGwFMgx65M
Publisher
Springer Journals
Copyright
Copyright © 1998 by Kluwer Academic Publishers
Subject
Mathematics; Numeric Computing; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1023/A:1009927422216
Publisher site
See Article on Publisher Site

Abstract

Reliable Computing 4: 109–112, 1998. 109 c 1998 Kluwer Academic Publishers. Printed in the Netherlands. Intervals in Space-Time: A. D. Alexandrov is 85 ALEXANDER LEVICHEV Department of Mathematics, Boston University, Boston, MA 02215, USA, e-mail: levit@math.bu.edu and OLGA KOSHELEVA Department of Electrical and Computer Engineering, University of Texas at El Paso, El Paso, TX 79968, USA, e-mail: olga@ece.utep.edu On August 12, 1997, Alexander Danilovich Alexandrov, the well-known geometer, a member of the Russian Academy of Sciences and of several foreign academies, will turn 85. A. D. Alexandrov’s seminal research papers cover areas ranging from quan- tum mechanics to geometry to philosophy of science. In particular, his innovative approach to foundations of space-time geometry is directly related to intervals and interval computations. In this short text, we will briefly describe his interval-related results. Before Alexandrov: 1-dimensional intervals that correspond to measuring time. Let us first describe a non-relativistic situation. In non-relativistic (New- tonian) physics, every event is characterized by a single number t (its moment of time). An event with a larger value of t occurs after the event with a smaller value of time. (In this sense, in Newtonian physics, temporal order is 1-dimensional.) Measurement inaccuracies make this simple

Journal

Reliable ComputingSpringer Journals

Published: Oct 6, 2004

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off