<s>
In	O
linear	B-Algorithm
programming	I-Algorithm
,	O
a	O
discipline	O
within	O
applied	O
mathematics	O
,	O
a	O
basic	B-Algorithm
solution	I-Algorithm
is	O
any	O
solution	O
of	O
a	O
linear	B-Algorithm
programming	I-Algorithm
problem	I-Algorithm
satisfying	O
certain	O
specified	O
technical	O
conditions	O
.	O
</s>
<s>
For	O
a	O
polyhedron	O
and	O
a	O
vector	O
,	O
is	O
a	O
basic	B-Algorithm
solution	I-Algorithm
if	O
:	O
</s>
<s>
A	O
basic	B-Algorithm
solution	I-Algorithm
that	O
satisfies	O
all	O
the	O
constraints	O
defining	O
(	O
or	O
,	O
in	O
other	O
words	O
,	O
one	O
that	O
lies	O
within	O
)	O
is	O
called	O
a	O
basic	O
feasible	O
solution	O
.	O
</s>
