- In mathematics, the
hyperoperation sequence is an
infinite sequence of
arithmetic operations (called
hyperoperations in this context) that
starts with...
- 3=2\uparrow ^{4}3.} The
square brackets are
another notation for
hyperoperations. The
hyperoperations naturally extend the
arithmetic operations of
addition and...
-
Reuben Goodstein in 1947, when he came up with the
naming scheme for
hyperoperations. The
number a
pentated to the
number b is
defined as a
tetrated to...
- is the level-0
foundation of the
infinite Grzegorczyk hierarchy of
hyperoperations, used to
build addition, multiplication, exponentiation, tetration...
- {\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}...
-
called a
hyperoperation. The
largest classes of the
hyperstructures are the ones
called H v {\displaystyle Hv} – structures. A
hyperoperation ( ⋆ ) {\displaystyle...
- lies in the
meaning of
hyper with
respect to the
hyperoperation sequence. When
considering hyperoperations, the term
hyper refers to all ranks, and the term...
-
first 21 of them are: Also see
Fermat number,
Tetration and
Hyperoperation § Lower
hyperoperations. All of
these numbers over 4 end with the
digit 6. Starting...
-
magnitude of a
googolplex could be represented, such as tetration,
hyperoperation, Knuth's up-arrow notation, Steinhaus–Moser notation, or
Conway chained...
- and
hyperbolic growth lie more
classes of
growth behavior, like the
hyperoperations beginning at tetration, and A ( n , n ) {\displaystyle A(n,n)} , the...
