Tetration: Difference between revisions

Revision as of 04:47, 29 October 2008

Tetration

\mathrm {tet} _{b}(x)

for

b=\mathrm {e}

,

b=2

,

b=\exp(1/\mathrm {e} )

, and

b={\sqrt {2}}

versus

x

.

This article is currently under construction. While, use article from wikipedia http://en.wikipedia.org/wiki/Tetration

Creation of word tetration is attributed to Englidh mathematician Reuben Louis Goodstein ^[1] ^[2].

uxp

This section is not yet written. There is non-finished draft at User:Dmitrii Kouznetsov/Analytic Tetration.

↑ "TETRATION, a term for repeated exponentiation, was introduced by Reuben Louis Goodstein". Earliest Known Uses of Some of the Words of Mathematics, http://members.aol.com/jeff570/t.html
↑ R.L.Goodstein (1947). "Transfinite ordinals in recursive number theory". Journal of Symbolic Logic 12.

http://reglos.de/lars/ffx.html , Lars Kindermann. References about Iterative Roots and Fractional Iteration.
http://math.eretrandre.org/tetrationforum/index.php , Discussion about tetration
http://tetration.itgo.com/ Tetration site by Andrew Robbins
http://www.tetration.org/ Tetration site by Daniel Geisler

@@ Line 1: / Line 1: @@
+[[Image:TetrationReal.jpg|right|300px|thumb|Tetration
+<math>\mathrm{tet}_b(x)</math> for
+<math>b=\mathrm{e}</math>,
+<math>b=2</math>,
+<math>b=\exp(1/\mathrm{e})</math>, and
+<math>b=\sqrt{2}</math> versus
+<math>x</math>.]]
 This article is currently [[under construction]]. While, use article from wikipedia http://en.wikipedia.org/wiki/Tetration
+==definiton==
-==definiiton==