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: and OLGA KOSHELEVA Department of Electrical and Computer Engineering, University of Texas at El Paso, El Paso, TX 79968, USA, e-mail: 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 Reliable Computing Springer Journals

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

Loading next page...
Kluwer Academic Publishers
Copyright © 1998 by Kluwer Academic Publishers
Mathematics; Numeric Computing; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics
Publisher site
See Article on Publisher Site


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 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

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

Monthly Plan

  • Read unlimited articles
  • Personalized recommendations
  • No expiration
  • Print 20 pages per month
  • 20% off on PDF purchases
  • Organize your research
  • Get updates on your journals and topic searches


Start Free Trial

14-day Free Trial

Best Deal — 39% off

Annual Plan

  • All the features of the Professional Plan, but for 39% off!
  • Billed annually
  • No expiration
  • For the normal price of 10 articles elsewhere, you get one full year of unlimited access to articles.



billed annually
Start Free Trial

14-day Free Trial