<s>
This	O
function	O
was	O
originally	O
proposed	O
as	O
"	O
modified	B-Algorithm
hyperbolic	I-Algorithm
tangent	I-Algorithm
"	O
by	O
Elena	O
V	O
.	O
Soboleva	O
(	O
)	O
as	O
a	O
utility	O
function	O
for	O
multi-objective	O
optimization	O
and	O
choice	O
modelling	O
in	O
decision-making	O
.	O
</s>
<s>
It	O
has	O
since	O
been	O
introduced	O
into	O
neural	B-Architecture
network	I-Architecture
theory	O
and	O
practice	O
.	O
</s>
<s>
A	O
family	B-Algorithm
of	I-Algorithm
recurrence-generated	I-Algorithm
parametric	I-Algorithm
Soboleva	I-Algorithm
modified	I-Algorithm
hyperbolic	I-Algorithm
tangent	I-Algorithm
activation	I-Algorithm
functions	I-Algorithm
(	O
NPSMHTAF	B-Algorithm
,	O
FPSMHTAF	B-Algorithm
)	O
was	O
studied	O
with	O
parameters	O
a	O
=	O
c	O
and	O
b	O
=	O
d	O
.	O
</s>
<s>
With	O
parameters	O
a	O
=	O
b	O
=	O
c	O
=	O
d	O
=	O
1	O
the	O
modified	B-Algorithm
hyperbolic	I-Algorithm
tangent	I-Algorithm
function	I-Algorithm
reduces	O
to	O
the	O
conventional	O
tanh(x )	O
function	O
,	O
whereas	O
for	O
a	O
=	O
b	O
=	O
1	O
and	O
c	O
=	O
d	O
=	O
0	O
,	O
the	O
term	O
becomes	O
equal	O
to	O
sinh(x )	O
.	O
</s>
