Skip to main content

Marks

  • Chapter
  • First Online:
Modal Interval Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2091))

  • 1425 Accesses

Abstract

Working on any digital scale, either a computation scale or a reading/writing measurement scale, digital values must be considered as intrinsically inexact. For example, consider an electrical circuit where a voltage measured with a voltmeter is 11. 3 V and a resistance of \(50\,\Omega \) is measured with an ohmmeter. These values are obviously associated to their measurement devices, which have their corresponding errors. A priori, one can think that these measurements and errors could be represented by intervals, but these values need to be represented in a digital scale and they could be considered valid or not in accordance to a certain tolerance.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. GAO/IMTEC-92-26, Patriot missile defense: Software problem led to system failure at Dhahran, Saudi Arabia (1992). http://www.fas.org/spp/starwars/gao/im92026.htm

  2. J. Gleick, A bug and a crash. The New York Times Magazine 1 (1996)

    Google Scholar 

  3. N.J. Higham, Accuracy and Stability of Numerical Algorithms (SIAM, Philadelphia, 1996)

    MATH  Google Scholar 

  4. B. Jakobsen, F. Rosendahl, The Sleipner Platform accident. Struct. Eng. Int. 4(3), 190–193 (1994)

    Article  Google Scholar 

  5. W. Kahan, How futile are mindless assessments of roundoff in floating-point computation 95 (2006 in progress). Available in http://www.cs.berkeley.edu/wkahan/Mindless.pdf

  6. S.M. Rump, R.E. Moore, Algorithm for verified inclusions - theory and practice, in Reliability in Computing, (Academic, San Diego, 1988), pp. 109–126

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Sainz, M.A., Armengol, J., Calm, R., Herrero, P., Jorba, L., Vehi, J. (2014). Marks. In: Modal Interval Analysis. Lecture Notes in Mathematics, vol 2091. Springer, Cham. https://doi.org/10.1007/978-3-319-01721-1_8

Download citation

Publish with us

Policies and ethics