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Discriminant
Meaning
Noun
●
In Algebra:
An
expression
that
gives
information
about
the
roots
of
a
polynomial;
for
example,
the
expression
D
=
b²
-
4ac
determines
whether
the
roots
of
the
quadratic
equation
ax²
+
bx
+
c
=
0
are
real
and
distinct
(D
>
0),
real
and
equal
(D
=
0)
or
complex
(D
<
0).
●
In Geometry:
The
invariant
(on the
vector space
of
forms
of
d
egree
d
in
n
variables
) that
vanishes
exactly
when the
corresponding
hypersurface
in Pⁿ⁻¹ is singular.
Adj
●
Serving to discriminate.
Sourced from
Wiktionary
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