Translation and analysis of words by ChatGPT artificial intelligence
On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:
- how the word is used
- frequency of use
- it is used more often in oral or written speech
- word translation options
- usage examples (several phrases with translation)
- etymology
iterated polynomial - translation to russian
![Construction of an IFS by the [[chaos game]] (animated)](https://commons.wikimedia.org/wiki/Special:FilePath/Chaosgame.gif?width=200 "Construction of an IFS by the [[chaos game]] (animated)")
![Apophysis]] software and rendered by the [[Electric Sheep]].](https://commons.wikimedia.org/wiki/Special:FilePath/Chris Ursitti fractal 0000.png?width=200 "Apophysis]] software and rendered by the [[Electric Sheep]].")
![[[Barnsley's fern]], an early IFS](https://commons.wikimedia.org/wiki/Special:FilePath/Fractal fern explained.png?width=200 "[[Barnsley's fern]], an early IFS")
![[[Menger sponge]], a 3-Dimensional IFS.](https://commons.wikimedia.org/wiki/Special:FilePath/Menger sponge (IFS).jpg?width=200 "[[Menger sponge]], a 3-Dimensional IFS.")
математика
итерированный многочлен
математика
кольцо многочленов
математика
многочленное выражение
Definition
Wikipedia
In mathematics, iterated function systems (IFSs) are a method of constructing fractals; the resulting fractals are often self-similar. IFS fractals are more related to set theory than fractal geometry. They were introduced in 1981.
IFS fractals, as they are normally called, can be of any number of dimensions, but are commonly computed and drawn in 2D. The fractal is made up of the union of several copies of itself, each copy being transformed by a function (hence "function system"). The canonical example is the Sierpiński triangle. The functions are normally contractive, which means they bring points closer together and make shapes smaller. Hence, the shape of an IFS fractal is made up of several possibly-overlapping smaller copies of itself, each of which is also made up of copies of itself, ad infinitum. This is the source of its self-similar fractal nature.
