<s>
In	O
applied	O
mathematics	O
,	O
the	O
construction	B-Algorithm
of	I-Algorithm
an	I-Algorithm
irreducible	I-Algorithm
Markov	I-Algorithm
Chain	I-Algorithm
in	I-Algorithm
the	I-Algorithm
Ising	I-Algorithm
model	I-Algorithm
is	O
the	O
first	O
step	O
in	O
overcoming	O
a	O
computational	O
obstruction	O
encountered	O
when	O
a	O
Markov	B-General_Concept
chain	I-General_Concept
Monte	I-General_Concept
Carlo	I-General_Concept
method	I-General_Concept
is	O
used	O
to	O
get	O
an	O
exact	O
goodness-of-fit	O
test	O
for	O
the	O
finite	O
Ising	O
model	O
.	O
</s>
<s>
Then	O
using	O
the	O
Metropolis	B-Algorithm
–	I-Algorithm
Hastings	I-Algorithm
algorithm	I-Algorithm
,	O
we	O
can	O
get	O
an	O
aperiodic	O
,	O
reversible	O
and	O
irreducible	O
Markov	O
Chain	O
.	O
</s>
<s>
We	O
cannot	O
get	O
a	O
uniform	O
samples	O
from	O
and	O
lead	O
to	O
inaccurate	O
p-value	B-General_Concept
.	O
</s>
