Criterion

Pronunciation: /kraɪˈtɪər iən/ ?

A criterion is a necessary requirement for a theorem to be true.[1] When a standard is given to show what members are included in a set, the standard is called a criterion. The plural of criterion is criteria.

Example:

If only high school students can participate in a math contest, the criterion for participating in the math contest is being a high school student.

check mark Understanding Check

For each of the statements below identify the criterion. The click on the answer you picked.
  • If x<0 then y>0.
    A. x<0 B. y>0
  • When your room is cleaned up, you can go to the mall.
    A. Your room is cleaned up. B. You can go to the mall.
  • We will stay inside if it is raining.
    A. We will stay inside. B. It is raining.
  • If the shirt fits and we can afford it, we will buy the shirt.
    A. The shirt fits. B. We can afford the shirt. C. We will buy the shirt.

References

  1. criterion. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=criterion&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
  2. criterion, def 1. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=criterion&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.

More Information

  • McAdams, David. condition. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 2009-03-12. http://www.allmathwords.org/article.aspx?lang=en&id=Condition.

Cite this article as:


Criterion. 2010-01-06. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/criterion.html.

Translations

Image Credits

Revision History


2010-01-06: Added "References" (McAdams, David.)
2008-07-11: Added Understanding Check (McAdams, David.)
2008-03-25: Revised More Information to match current standard (McAdams, David.)
2007-07-12: Initial version (McAdams, David.)

All Math Words Encyclopedia is a service of Life is a Story Problem LLC.
Copyright © 2005-2011 Life is a Story Problem LLC. All rights reserved.
Creative Commons License This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License