Difference between revisions of "Boolean equation"
From Encyclopedia of Mathematics
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An equation of the form | An equation of the form | ||
| − | $$f(x_1,\ldots,x_n)=0,\tag{*}$$ | + | $$f(x_1,\ldots,x_n)=0,\label{*}\tag{*}$$ |
| − | where $f$ is a [[Boolean function|Boolean function]] in $n$ variables. The set of all solutions of an equation of the form | + | where $f$ is a [[Boolean function|Boolean function]] in $n$ variables. The set of all solutions of an equation of the form \eqref{*} can be described by a system of Boolean functions depending on $n$ arbitrary parameters. |
====References==== | ====References==== | ||
<table><TR><TD valign="top">[1]</TD> <TD valign="top"> G. Birkhoff, "Lattice theory" , ''Colloq. Publ.'' , '''25''' , Amer. Math. Soc. (1973)</TD></TR></table> | <table><TR><TD valign="top">[1]</TD> <TD valign="top"> G. Birkhoff, "Lattice theory" , ''Colloq. Publ.'' , '''25''' , Amer. Math. Soc. (1973)</TD></TR></table> | ||
Latest revision as of 15:05, 14 February 2020
2020 Mathematics Subject Classification: Primary: 06E [MSN][ZBL]
An equation of the form
$$f(x_1,\ldots,x_n)=0,\label{*}\tag{*}$$
where $f$ is a Boolean function in $n$ variables. The set of all solutions of an equation of the form \eqref{*} can be described by a system of Boolean functions depending on $n$ arbitrary parameters.
References
| [1] | G. Birkhoff, "Lattice theory" , Colloq. Publ. , 25 , Amer. Math. Soc. (1973) |
How to Cite This Entry:
Boolean equation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Boolean_equation&oldid=44677
Boolean equation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Boolean_equation&oldid=44677
This article was adapted from an original article by T.S. Fofanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article