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# imaginary part

the coefficient b in the complex number a + bi. Cf. real part.
[1925-30]

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Universalium. 2010.

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• imaginary part — n. the coefficient of the square root of negative one in a complex number as 5 in ( 3 + 5i): formerly, this coefficient multiplied by i was considered the imaginary part …   English World dictionary

• Imaginary part — In mathematics, the imaginary part of a complex number z, is the second element of the ordered pair of real numbers representing z, i.e. if z = (x, y) , or equivalently, z = x+iy, then the imaginary part of z is y. It is denoted by Im (z) or Im{… …   Wikipedia

• imaginary part — noun the part of a complex number that has the square root of 1 as a factor • Syn: ↑imaginary part of a complex number • Hypernyms: ↑pure imaginary number • Part Holonyms: ↑complex number, ↑complex quantity, ↑ …   Useful english dictionary

• imaginary part — menamoji dalis statusas T sritis automatika atitikmenys: angl. imaginary part vok. Imaginärteil, m rus. мнимая часть, f pranc. partie imaginaire, f …   Automatikos terminų žodynas

• imaginary part — menamoji dalis statusas T sritis fizika atitikmenys: angl. imaginary part vok. Imaginärteil, m rus. мнимая часть, f pranc. partie imaginaire, f …   Fizikos terminų žodynas

• imaginary part — noun Date: 1845 the part of a complex number (as 3i in 2 + 3i) that has the imaginary unit as a factor …   New Collegiate Dictionary

• imaginary part — noun Of a complex number a + bi, the value b …   Wiktionary

• imaginary part of a complex number — noun the part of a complex number that has the square root of 1 as a factor • Syn: ↑imaginary part • Hypernyms: ↑pure imaginary number • Part Holonyms: ↑complex number, ↑complex quantity, ↑imaginary number, ↑ …   Useful english dictionary

• imaginary part of complex permeability — menamoji magnetinė skvarba statusas T sritis fizika atitikmenys: angl. imaginary part of complex permeability; reactive permeability vok. Blindpermeabilität, f; Imaginärteil der komplexen Permeabilität, m; Reihenwiderstandspermeabilität, f rus.… …   Fizikos terminų žodynas

• Imaginary number — In mathematics, an imaginary number (or purely imaginary number) is a complex number whose squared value is a real number not greater than zero.Ahlfors, Lars V. Complex Analysis. 3rd Ed. New York: McGraw Hill, 1979. Pages 1 4.] The imaginary unit …   Wikipedia