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ideal
noun
a
principle
,
goal
,
or
standard
of
perfection
that
someone
tries
to
achieve
•
Honesty
is
an
ideal
he
refuses
to
compromise
.
Honesty
is
an
ideal
he
refuses
to
compromise
.
•
The
organization
was
founded
on
the
ideal
of
equal
opportunity
.
The
organization
was
founded
on
the
ideal
of
equal
opportunity
.
noun
in
mathematics
,
a
special
subset
of
an
algebraic
ring
that
is
closed
under
addition
and
under
multiplication
by
any
element
of
that
ring
•
In
the
ring
of
integers
,
the
even
numbers
form
an
ideal
.
In
the
ring
of
integers
,
the
even
numbers
form
an
ideal
.
•
The
professor
explained
how
every
prime
number
generates
a
unique
ideal
.
The
professor
explained
how
every
prime
number
generates
a
unique
ideal
.