Datasets:
Hengzongshu
/
math_LinearAlgebra_ner

Dataset card Viewer Files Community
1
text
stringlengths
0
32
that O
do O
not O
have O
any O
basi O
and O
linear B-Math
maps I-Math
also O
called O
module O
homomorphisms O
are O
defined O
for O
modules O
exactly O
as O
for O
vector O
spaces O
with O
the O
essential O
difference O
that O
if O
r O
is O
not O
a O
field O
there O
are O
modules O
that O
do O
not O
have O
any O
basi O
also O
called O
module B-Math
homomorphisms I-Math
are O
defined O
for O
modules O
exactly O
as O
for O
vector O
spaces O
with O
the O
essential O
difference O
that O
if O
r O
is O
not O
a O
field O
there O
are O
modules O
that O
do O
not O
have O
any O
basi O
in O
any O
event O
the O
span O
has O
a O
basis O
of O
linearly O
independent O
vectors O
that O
do O
guarantee O
exactly O
one O
expression O
and O
the O
number O
of O
vectors B-Math
in O