<s>
In	O
computer	B-General_Concept
science	I-General_Concept
,	O
Universal	B-General_Concept
IR	I-General_Concept
Evaluation	I-General_Concept
(	O
information	B-Library
retrieval	I-Library
evaluation	O
)	O
aims	O
to	O
develop	O
measures	O
of	O
database	O
retrieval	O
performance	O
that	O
shall	O
be	O
comparable	O
across	O
all	O
information	B-Library
retrieval	I-Library
tasks	O
.	O
</s>
<s>
IR	O
(	O
information	B-Library
retrieval	I-Library
)	O
evaluation	O
begins	O
whenever	O
a	O
user	O
submits	O
a	O
query	B-Library
(	O
search	O
term	O
)	O
to	O
a	O
database	O
.	O
</s>
<s>
If	O
the	O
user	O
is	O
able	O
to	O
determine	O
the	O
relevance	O
of	O
each	O
document	O
in	O
the	O
database	O
(	O
relevant	O
or	O
not	O
relevant	O
)	O
,	O
then	O
for	O
each	O
query	B-Library
,	O
the	O
complete	O
set	O
of	O
documents	O
is	O
naturally	O
divided	O
into	O
four	O
distinct	O
(	O
mutually	O
exclusive	O
)	O
subsets	O
:	O
relevant	O
documents	O
that	O
are	O
retrieved	O
,	O
not	O
relevant	O
documents	O
that	O
are	O
retrieved	O
,	O
relevant	O
documents	O
that	O
are	O
not	O
retrieved	O
,	O
and	O
not	O
relevant	O
documents	O
that	O
are	O
not	O
retrieved	O
.	O
</s>
<s>
Universal	B-General_Concept
IR	I-General_Concept
evaluation	I-General_Concept
addresses	O
the	O
mathematical	O
possibilities	O
and	O
relationships	O
among	O
the	O
four	O
relevance	O
metrics	O
Precision	O
,	O
Recall	O
,	O
Fallout	O
and	O
Miss	O
,	O
denoted	O
by	O
P	O
,	O
R	O
,	O
F	O
and	O
M	O
,	O
respectively	O
.	O
</s>
<s>
One	O
aspect	O
of	O
the	O
problem	O
involves	O
finding	O
a	O
mathematical	O
derivation	O
of	O
a	O
complete	O
set	O
of	O
universal	B-General_Concept
IR	I-General_Concept
evaluation	I-General_Concept
points	O
.	O
</s>
<s>
This	O
universal	B-General_Concept
IR	I-General_Concept
evaluation	I-General_Concept
point	O
would	O
thus	O
be	O
denoted	O
by	O
(	O
0/0	O
,	O
0	O
,	O
0	O
,	O
M	O
)	O
,	O
which	O
represents	O
only	O
one	O
of	O
the	O
16	O
possible	O
universal	O
IR	O
outcomes	O
.	O
</s>
<s>
The	O
mathematics	O
of	O
universal	B-General_Concept
IR	I-General_Concept
evaluation	I-General_Concept
is	O
a	O
fairly	O
new	O
subject	O
since	O
the	O
relevance	O
metrics	O
P	O
,	O
R	O
,	O
F	O
,	O
M	O
were	O
not	O
analyzed	O
collectively	O
until	O
recently	O
(	O
within	O
the	O
past	O
decade	O
)	O
.	O
</s>
<s>
For	O
a	O
detailed	O
mathematical	O
analysis	O
,	O
a	O
query	B-Library
in	O
the	O
ScienceDirect	O
database	O
for	O
"	O
universal	B-General_Concept
IR	I-General_Concept
evaluation	I-General_Concept
"	O
retrieves	O
several	O
relevant	O
peer-reviewed	O
papers	O
.	O
</s>
