- the more
difficult quadrivium curriculum. The
opposite of
trivial is
nontrivial,
which is
commonly used to
indicate that an
example or a
solution is not...
-
values of s,
which are
called nontrivial zeros. The
Riemann hypothesis is
concerned with the
locations of
these nontrivial zeros, and
states that: The real...
- {\displaystyle \mathbb {Z} } ,
considered as a
group under addition, has a
unique nontrivial automorphism: negation.
Considered as a ring, however, it has only the...
-
branch of mathematics, the
trefoil knot is the
simplest example of a
nontrivial knot. The
trefoil can be
obtained by
joining the two
loose ends of a common...
- In mathematics, a
divisor of an
integer n , {\displaystyle n,} also
called a
factor of n , {\displaystyle n,} is an
integer m {\displaystyle m} that may...
-
factor law, the
multiplication property of zero, the
nonexistence of
nontrivial zero divisors, or one of the two zero-factor properties. All of the number...
- mathematics, the
Virasoro algebra is a
complex Lie
algebra and the
unique nontrivial central extension of the Witt algebra. It is
widely used in two-dimensional...
- and thus, a
basis of V. Zorn's
lemma can be used to show that
every nontrivial ring R with
unity contains a
maximal ideal. Let P be the set consisting...
- if it does not
contain a
nontrivial proper normal subgroup. A ring is
called a
simple ring if it does not
contain a
nontrivial two
sided ideal. A module...
- form Q in five or more
variables over the
field of
rational numbers nontrivially represents zero. In
other words, if the
equation Q(x) = 0 has a non-zero...
