imaginary part

Noun

Meaning

the part of a complex number that has the square root of -1 as a factor

Synonyms

Antonyms

Hypernyms

Examples

At least one of the real part c and the imaginary part d of the denominator must be nonzero for division to be defined. Source: Internet

Conjugation by a unit quaternion (a quaternion of absolute value 1) with real part cos(θ) is a rotation by an angle 2θ, the axis of the rotation being the direction of the imaginary part. Source: Internet

Complex numbers extend the concept of the one-dimensional number line to the two-dimensional complex plane by using the horizontal axis for the real part and the vertical axis for the imaginary part. Source: Internet

Connections with complex function theory The real and imaginary part of any holomorphic function yield harmonic functions on R 2 (these are said to be a pair of harmonic conjugate functions). Source: Internet

If the real part of a complex number is 0, then the number is called an imaginary number or is referred to as purely imaginary; if the imaginary part is 0, then the number is a real number. Source: Internet

In quantum mechanics, the position of the ball is represented by a wave (called the wave function ), with the real part shown in blue and the imaginary part shown in red. Source: Internet

Close letter words and terms