- 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...
- 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...
-
called a
hyperoperation. The
largest classes of the
hyperstructures are the ones
called H v {\displaystyle Hv} – structures. A
hyperoperation ( ⋆ ) {\displaystyle...
- {\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}...
-
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...
-
common in mathematics. The upward-pointing
arrow is now used to
signify hyperoperations in Knuth's up-arrow notation. It is
often seen in
caret notation to...
- 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...
