- 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...
- {\displaystyle \mathbb {Z} } ,
considered as a
group under addition, has a
unique nontrivial automorphism: negation.
Considered as a ring, however, it has only the...
- 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...
- x 3 = y 3 + z 3 {\displaystyle w^{3}+x^{3}=y^{3}+z^{3}} The
smallest nontrivial solution in
positive integers is 123 + 13 = 93 + 103 = 1729. It was famously...
- 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...
-
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...
- algebra, an
abstract algebra A is
called simple if and only if it has no
nontrivial congruence relations, or equivalently, if
every homomorphism with domain...
-
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...
-
produces a
nontrivial factor (meaning gcd ( a , N ) ≠ 1 {\displaystyle \gcd(a,N)\neq 1} ), the
algorithm is finished, and the
other nontrivial factor is...
