<s>
In	O
mathematics	O
,	O
a	O
Boolean	B-Algorithm
matrix	I-Algorithm
is	O
a	O
matrix	B-Architecture
with	O
entries	O
from	O
a	O
Boolean	O
algebra	O
.	O
</s>
<s>
When	O
the	O
two-element	O
Boolean	O
algebra	O
is	O
used	O
,	O
the	O
Boolean	B-Algorithm
matrix	I-Algorithm
is	O
called	O
a	O
logical	B-Algorithm
matrix	I-Algorithm
.	O
</s>
<s>
(	O
In	O
some	O
contexts	O
,	O
particularly	O
computer	B-General_Concept
science	I-General_Concept
,	O
the	O
term	O
"	O
Boolean	B-Algorithm
matrix	I-Algorithm
"	O
implies	O
this	O
restriction	O
.	O
)	O
</s>
<s>
Let	O
V	O
be	O
the	O
collection	O
of	O
n	O
×	O
n	O
matrices	O
that	O
have	O
entries	O
taken	O
from	O
U	O
.	O
Complementation	O
of	O
such	O
a	O
matrix	B-Architecture
is	O
obtained	O
by	O
complementing	O
each	O
element	O
.	O
</s>
<s>
The	O
intersection	O
or	O
union	O
of	O
two	O
such	O
matrices	O
is	O
obtained	O
by	O
applying	O
the	O
operation	O
to	O
entries	O
of	O
each	O
pair	O
of	O
elements	O
to	O
obtain	O
the	O
corresponding	O
matrix	B-Architecture
intersection	O
or	O
union	O
.	O
</s>
<s>
A	O
matrix	B-Architecture
is	O
contained	O
in	O
another	O
if	O
each	O
entry	O
of	O
the	O
first	O
is	O
contained	O
in	O
the	O
corresponding	O
entry	O
of	O
the	O
second	O
.	O
</s>
