Consistent
Pronunciation: /kənˈsɪs.tənt/ Explain
- A system of equations
is consistent if the system has at
least one common solution.^{[2]} If a system of equations
has no solutions, it is called inconsistent.
- An axiomatic sytem
is consistent if all the propositions in the
set are consistent; if there is no possible proof of both a proposition (P) and its
negation
(not P).^{[3]}
References
- McAdams, David E.. All Math Words Dictionary, consistent. 2nd Classroom edition 20150108-4799968. pg 44. Life is a Story Problem LLC. January 8, 2015. Buy the book
- Kornegay, Chris. Systems of Linear Equations. 2nd edition. pg 456-459. Math Dictionary With Solutions: A Math Review. Sage Publications, Inc. March 6, 1999. Last Accessed 6/25/2018. Buy the book
- Catherine Cavagnaro (Editor), William T. Haight II (Editor). consistent axioms. pg 27. Dictionary of Classical and Theoretical Mathematics. CRC Press. February 26, 2001. Last Accessed 6/25/2018. Buy the book
Cite this article as:
McAdams, David E. Consistent. 4/16/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/consistent.html.
Revision History
4/16/2019: Updated equations and expressions to new format. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (
McAdams, David E.)
1/20/2010: Added "References". (
McAdams, David E.)
1/5/2010: Added "References". (
McAdams, David E.)
4/29/2008: Initial version. (
McAdams, David E.)