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فا set الساطر - translation to English
WIKIMEDIA DISAMBIGUATION PAGE
SeT; Sets; SET; Base Set; SETS; Set (disambiguation); The set; Set (album); SET (disambiguation); The Set
فا set الساطر
setter (N)
countable
![The [[Cantor pairing function]] assigns one natural number to each pair of natural numbers](https://commons.wikimedia.org/wiki/Special:FilePath/Pairing natural.svg?width=200 "The [[Cantor pairing function]] assigns one natural number to each pair of natural numbers")
SET WITH THE SAME CARDINALITY AS THE SET OF NATURAL NUMBERS
Countably infinite; Countable sets; Countable; Countably; Denumerable; Countably many; Countability; Denumerability; Countably infinite set; Denumerable Set; Denumerably Infinite; Countable space; Countable infinity; Denumerable set; Countable infinite; Countable Set; Infinitely countable; Infinitely countable set; Listable infinity
ADJ
يمكن عده
يمكن عده
Set theory
![[[Georg Cantor]]](https://commons.wikimedia.org/wiki/Special:FilePath/Georg Cantor 1894.jpg?width=200 "[[Georg Cantor]]")
BRANCH OF MATHEMATICS THAT STUDIES SETS, WHICH ARE COLLECTIONS OF OBJECTS
Axiomatic Set Theory; SetTheory; Set Theory; Formal set theory; Axiomatic set theory; Theory of sets; Ordinary set theory; Set theorist; Classical set theory; Set-theoretic; Axioms of set theory; Axiom of set theory; Axiomatic set theories; Transfinite set theory; Abstract set theory; Mathematical set theory; Set theory (mathematics); Applications of set theory; History of set theory
نظرية متكاملة
Definition
Mandelbrot set
<mathematics, graphics> (After its discoverer, {Benoit
Mandelbrot}) The set of all complex numbers c such that
| z[N ] | < 2
for arbitrarily large values of N, where
z[0 ] = 0
z[n+1 ] = z[n ]^2 + c
The Mandelbrot set is usually displayed as an {Argand
diagram}, giving each point a colour which depends on the
largest N for which | z[N ] | < 2, up to some maximum N which
is used for the points in the set (for which N is infinite).
These points are traditionally coloured black.
The Mandelbrot set is the best known example of a fractal -
it includes smaller versions of itself which can be explored
to arbitrary levels of detail.
{The Fractal Microscope
(http://ncsa.uiuc.edu/Edu/Fractal/Fractal_Home.html/) }.
(1995-02-08)
