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Translation of "Halmaz" in English

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Examples of using "Halmaz" in a sentence and their english translations:

A Mandelbrot-halmaz önmagában is csodálatos.

Now, the Mandelbrot set is very beautiful all by itself.

Az eredeti alakzatnak a Mandelbrot-halmaz belsejében

that burried deep down within the Mandelbrot set,

A saját magát nem tartalmazó összes halmaz halmaza tartalmazza saját magát?

Does the set of all sets that do not contain themselves contain itself?