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, ↑imaginary

Useful english dictionary. 2012.

Look at other dictionaries:

  • complex number — noun (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of 1 (Freq. 3) • Syn: ↑complex quantity, ↑imaginary number, ↑imaginary • Topics: ↑mathematics, ↑math, ↑ …   Useful english 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

  • Complex number — A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the square root of –1. A complex… …   Wikipedia

  • 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 — 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

  • complex number — ► NOUN Mathematics ▪ a number containing both a real and an imaginary part …   English terms dictionary

  • complex number — a mathematical expression (a + bi) in which a and b are real numbers and i2 = 1. [1825 35] * * * Any number consisting of both real numbers and imaginary numbers. It has the form a + bi, where a and b are real numbers and i = 1; a is called the… …   Universalium

  • imaginary part — Math. the coefficient b in the complex number a + bi. Cf. real part. [1925 30] * * * …   Universalium

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

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