Last Updated：2022/12/23
Sentence
A
canonical
form
is
an
element
of
a
set
of
representatives
of
equivalence
classes
of
forms
such
that
there
is
a
function
or
procedure
which
projects
every
element
of
each
equivalence
class
onto
that
one
element,
the
canonical
form
of
that
equivalence
class.
The
canonical
form
is
expected
to
be
simpler
than
the
rest
of
the
forms
in
some
way.
For
example,
for
cubic
polynomials
acted
upon
by
the
group
of
translations
along
the
abscissa,
the
canonical
forms
are
cubic
polynomials
without
a
quadratic
term.
Quizzes for review
A canonical form is an element of a set of representatives of equivalence classes of forms such that there is a function or procedure which projects every element of each equivalence class onto that one element, the canonical form of that equivalence class. The canonical form is expected to be simpler than the rest of the forms in some way. For example, for cubic polynomials acted upon by the group of translations along the abscissa, the canonical forms are cubic polynomials without a quadratic term.
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English - English
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