- In mathematics, the
hyperoperation sequence is an
infinite sequence of
arithmetic operations (called
hyperoperations in this context) that
starts with...
-
introduced the
specific sequence of
operations that are now
called hyperoperations.
Goodstein also
suggested the Gr****
names tetration, pentation, etc...
-
called a
hyperoperation. The
largest classes of the
hyperstructures are the ones
called H v {\displaystyle Hv} – structures. A
hyperoperation ( ⋆ ) {\displaystyle...
- In mathematics,
pentation (or hyper-5) is the
fifth hyperoperation.
Pentation is
defined to be
repeated tetration,
similarly to how
tetration is repeated...
-
Successor operations are also
known as
zeration in the
context of a
zeroth hyperoperation: H0(a, b) = 1 + b. In this context, the
extension of
zeration is addition...
- {\displaystyle {^{4}2}=2^{2^{2^{2}}}=2^{2^{4}}=2^{16}=65536} . It is the next
hyperoperation after exponentiation, but
before pentation. The word was
coined by Reuben...
-
extends these basic operations in a way that can be
compared to the
hyperoperations: φ ( m , n , 3 ) = m [ 4 ] ( n + 1 ) φ ( m , n , p ) ⪆ m [ p + 1 ]...
-
magnitude of a
googolplex could be represented, such as tetration,
hyperoperation, Knuth's up-arrow notation, Steinhaus–Moser notation, or
Conway chained...
- {\displaystyle f^{4}(n)=f(f(f(f(n))))} .
Expressed in
terms of the
family of
hyperoperations H 0 , H 1 , H 2 , ⋯ {\displaystyle {\text{H}}_{0},{\text{H}}_{1},{\text{H}}_{2}...
- Steinhaus' mega lies
between 10[4]257 and 10[4]258 (where a[n]b is
hyperoperation). Mathematics: Moser's number, "2 in a mega-gon" in Steinhaus–Moser...
