Skip to main content Accessibility help
×
Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-08T02:42:23.942Z Has data issue: false hasContentIssue false

C - Notation

Published online by Cambridge University Press:  05 June 2012

Krzysztof Ciesielski
Affiliation:
West Virginia University
Get access

Summary

  • xyx is an element of y, 6.

  • ¬ϕ – the negation of formula ϕ, 6.

  • ϕ&ψ – the conjunction of formulas ϕ and ψ, 6.

  • ϕ ∨ ψ – the disjunction of formulas ϕ and ψ, 6.

  • ϕ→ψ – the implication, 6.

  • ϕ⇔ψ – the equivalence of formulas ϕ and ψ 6.

  • xϕ – the existential quantifier, 6.

  • xϕ – the universal quantifier, 6.

  • xAϕ – bounded existential quantifier, 6.

  • xAϕ – a bounded universal quantifier, 6.

  • xyx is a subset of y, 6.

  • ø – the empty set, 7.

  • ∪ℱ – the union of a family ℱ of sets, 8.

  • P(X) – the power set of a set X, 8.

  • xy – the union of sets x and y, 8.

  • x \ y – the difference of sets x and y, 8.

  • ∩ℱ – the intersection of a family ℱ of sets, 8.

  • xy – the intersection of sets x and y, 9.

  • xΔy – the symmetric difference of sets x and y, 9.

  • a, b〉 – the ordered pair {{a}, {a, b}}, 9.

  • a1, a2, …, an-1, an〉 – the ordered n-tuple, 10.

  • X × Y – the Cartesian product of sets X and Y, 10.

  • […]

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Notation
  • Krzysztof Ciesielski, West Virginia University
  • Book: Set Theory for the Working Mathematician
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139173131.013
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Notation
  • Krzysztof Ciesielski, West Virginia University
  • Book: Set Theory for the Working Mathematician
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139173131.013
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Notation
  • Krzysztof Ciesielski, West Virginia University
  • Book: Set Theory for the Working Mathematician
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139173131.013
Available formats
×