<s>
In	O
mathematics	O
,	O
precisely	O
in	O
the	O
theory	B-Architecture
of	I-Architecture
functions	I-Architecture
of	I-Architecture
several	I-Architecture
complex	I-Architecture
variables	I-Architecture
,	O
a	O
pluriharmonic	B-Algorithm
function	I-Algorithm
is	O
a	O
real	O
valued	O
function	O
which	O
is	O
locally	O
the	O
real	O
part	O
of	O
a	O
holomorphic	O
function	B-Architecture
of	I-Architecture
several	I-Architecture
complex	I-Architecture
variables	I-Architecture
.	O
</s>
<s>
However	O
,	O
in	O
modern	O
expositions	O
of	O
the	O
theory	B-Architecture
of	I-Architecture
functions	I-Architecture
of	I-Architecture
several	I-Architecture
complex	I-Architecture
variables	I-Architecture
it	O
is	O
preferred	O
to	O
give	O
an	O
equivalent	O
formulation	O
of	O
the	O
concept	O
,	O
by	O
defining	O
pluriharmonic	B-Algorithm
function	I-Algorithm
a	O
complex	O
valued	O
function	O
whose	O
restriction	O
to	O
every	O
complex	O
line	O
is	O
a	O
harmonic	O
function	O
with	O
respect	O
to	O
the	O
real	O
and	O
imaginary	O
part	O
of	O
the	O
complex	O
line	O
parameter	O
.	O
</s>
<s>
Every	O
pluriharmonic	B-Algorithm
function	I-Algorithm
is	O
a	O
harmonic	O
function	O
,	O
but	O
not	O
the	O
other	O
way	O
around	O
.	O
</s>
<s>
Further	O
,	O
it	O
can	O
be	O
shown	O
that	O
for	O
holomorphic	O
functions	B-Architecture
of	I-Architecture
several	I-Architecture
complex	I-Architecture
variables	I-Architecture
the	O
real	O
(	O
and	O
the	O
imaginary	O
)	O
parts	O
are	O
locally	O
pluriharmonic	B-Algorithm
functions	I-Algorithm
.	O
</s>
