<s>
In	O
mathematics	O
,	O
a	O
fractal	B-Algorithm
sequence	I-Algorithm
is	O
one	O
that	O
contains	O
itself	O
as	O
a	O
proper	O
subsequence	O
.	O
</s>
<s>
The	O
precise	O
definition	O
of	O
fractal	B-Algorithm
sequence	I-Algorithm
depends	O
on	O
a	O
preliminary	O
definition	O
:	O
a	O
sequence	O
x	O
=	O
(	O
xn	O
)	O
is	O
an	O
infinitive	O
sequence	O
if	O
for	O
every	O
i	O
,	O
</s>
<s>
An	O
infinitive	O
sequence	O
x	O
is	O
a	O
fractal	B-Algorithm
sequence	I-Algorithm
if	O
two	O
additional	O
conditions	O
hold	O
:	O
</s>
<s>
The	O
sequence	O
cn(θ )	O
is	O
the	O
signature	O
of	O
θ	O
,	O
and	O
it	O
is	O
a	O
fractal	B-Algorithm
sequence	I-Algorithm
.	O
</s>
