Lumur kompleks
[[Fail:A plus bi.svg|thumb|upright=1.15|right|Lumur kompleks ulih diayanka ngena chara visual nyadi sepasang lumur {{Math|(''a'', ''b'')}} nempa vektor ba diagram ti dikumbai [[Diagram Argand]], ngarika [[bidang kompleks]]. ''Re'' nya paksi bendar, ''Im'' nya paksi imaginari, sereta {{Mvar|i}} nya "[[unit imaginari]]", ti ngemuaska {{Math|1=''i''<sup>2</sup> = −1}}.]]

Dalam [[matematik]], '''lumur kompleks''' nya elemen sistem lumur ti ngerembaika [[lumur bendar]] enggau elemen ti spesifik ti ditanda {{Mvar|i}}, dikumbai [[unit imaginari]] enggau ngemuaska penyama <math>i^{2}= -1</math>; tiap iti lumur kompleks ulih dipadahka ngena tukuh <math>a + bi</math>, ke alai {{Mvar|a}} enggau {{Mvar|b}} nya lumur bendar. Ketegal nadai lumur bendar ngemuaska penyama ba atas tadi, {{Mvar|i}} dikumbai [[René Descartes]] nyadi [[lumur imaginari]]. Ungkup lumur komples {{Nowrap|<math>a+bi</math>,}} {{Mvar|a}} dikumbai '''{{Visible anchor|bagi bendar}}''', sereta {{Mvar|b}} dikumbai '''{{Visible anchor|bagi imaginari}}'''. Set lumur kompleks ditanda enggau simbol <math>\mathbb C</math> tauka {{Math|'''C'''}}. Taja pan bisi nomenklatur besejarah, lumur kompleks "imaginari" ngembuan pengayan matematik ti tegap baka lumur bendar, lalu iya nyadika kereban paung dalam penerang saintifik dunya semula jadi.<ref>For an extensive account of the history of "imaginary" numbers, from initial skepticism to ultimate acceptance, see {{Cite book |last=Bourbaki |first=Nicolas |author-link=Nicolas Bourbaki |year=1998 |title=Elements of the History of Mathematics |chapter=Foundations of Mathematics § Logic: Set theory |pages=18–24 |publisher=Springer}}
</ref><ref>"Complex numbers, as much as reals, and perhaps even more, find a unity with nature that is truly remarkable. It is as though Nature herself is as impressed by the scope and consistency of the complex-number system as we are ourselves, and has entrusted to these numbers the precise operations of her world at its minutest scales.", {{Harvnb|Penrose|2005|loc=pp.72–73 |url=https://books.google.com/books?id=VWTNCwAAQBAJ&pg=PA73}}.</ref>

== Malin ==
Dalam matematik, lumur kompleks nya elemen sistem lumur ti ngerembaika lumur bendar enggau elemen ti spesifik ti ditanda , dikumbai unit imaginari enggau ngemuaska penyama ; tiap iti lumur kompleks ulih dipadahka ngena tukuh , ke alai  enggau  nya lumur bendar. Ketegal nadai lumur bendar ngemuaska penyama ba atas tadi,  dikumbai René Descartes nyadi lumur imaginari. Ungkup lumur komples   dikumbai , sereta  dikumbai . Set lumur kompleks ditanda enggau simbol  tauka . Taja pan bisi nomenklatur besejarah, lumur kompleks "imaginari" ngembuan pengayan matematik ti tegap baka lumur bendar, lalu iya nyadika kereban paung dalam penerang saintifik dunya semula jadi.For an extensive account of the history of "imaginary" numbers, from initial skepticism to ultimate acceptance, see "Complex numbers, as much as reals, and perhaps even more, find a unity with nature that is truly remarkable. It is as though Nature herself is as impressed by the scope and consistency of the complex-number system as we are ourselves, and has entrusted to these numbers the precise operations of her world at its minutest scales.", .

 Malin