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Difference between revisions of "Boolean equation"

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(MSC 06E)
m (label)
 
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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 (*) can be described by a system of Boolean functions depending on $n$ arbitrary parameters.
+
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=34921
This article was adapted from an original article by T.S. Fofanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article