<s>
In	O
mathematics	O
,	O
the	O
amplitwist	B-Algorithm
is	O
a	O
concept	O
created	O
by	O
Tristan	O
Needham	O
in	O
the	O
book	O
Visual	O
Complex	O
Analysis	O
(	O
1997	O
)	O
to	O
represent	O
the	O
derivative	O
of	O
a	O
complex	O
function	O
visually	O
.	O
</s>
<s>
The	O
amplitwist	B-Algorithm
associated	O
with	O
a	O
given	O
function	O
is	O
its	O
derivative	O
in	O
the	O
complex	O
plane	O
.	O
</s>
<s>
The	O
concept	O
of	O
an	O
amplitwist	B-Algorithm
is	O
used	O
primarily	O
in	O
complex	O
analysis	O
to	O
offer	O
a	O
way	O
of	O
visualizing	O
the	O
derivative	O
of	O
a	O
complex-valued	O
function	O
as	O
a	O
local	O
amplification	O
and	O
twist	O
of	O
vectors	O
at	O
a	O
point	O
in	O
the	O
complex	O
plane	O
.	O
</s>
