- In mathematics, the
hyperoperation sequence is an
infinite sequence of
arithmetic operations (called
hyperoperations in this context) that
starts with...
-
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...
- 3=2\uparrow ^{4}3.} The
square brackets are
another notation for
hyperoperations. The
hyperoperations naturally extend the
arithmetical operations of addition...
- 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 Hv{\displaystyle Hv} – structures. A
hyperoperation (⋆){\displaystyle...
-
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...
- 2=2\uparrow \uparrow \uparrow 2={\text{ }}...} up
through any
level of
hyperoperation, here
denoted in Knuth's up-arrow notation, all
equivalent to 4. {\displaystyle...
-
Iterating tetration leads to
another operation, and so on, a
concept named hyperoperation. This
sequence of
operations is
expressed by the
Ackermann function...
