Wp/iba/Lumur kompleks

Dalam matematik, lumur kompleks nya elemen sistem lumur ti ngerembaika lumur bendar enggau elemen ti spesifik ti ditanda $i$ , dikumbai unit imaginari enggau ngemuaska penyama $i^{2}=-1$ ; tiap iti lumur kompleks ulih dipadahka ngena tukuh $a+bi$ , ke alai $a$ enggau $b$ nya lumur bendar. Ketegal nadai lumur bendar ngemuaska penyama ba atas tadi, $i$ dikumbai René Descartes nyadi lumur imaginari. Ungkup lumur komples $a+bi$ , $a$ dikumbai bagi bendar, sereta $b$ dikumbai bagi imaginari. Set lumur kompleks ditanda enggau simbol $\mathbb {C}$ tauka $C$ . 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.^[1]^[2]

Malin

↑ For an extensive account of the history of "imaginary" numbers, from initial skepticism to ultimate acceptance, see Bourbaki, Nicolas (1998). "Foundations of Mathematics § Logic: Set theory". Elements of the History of Mathematics. Springer. pp. 18–24.
↑ "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.", Penrose 2005, pp.72–73.

[1] For an extensive account of the history of "imaginary" numbers, from initial skepticism to ultimate acceptance, see Bourbaki, Nicolas (1998). "Foundations of Mathematics § Logic: Set theory". Elements of the History of Mathematics. Springer. pp. 18–24.

[2] "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.", Penrose 2005, pp.72–73.

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