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Purely Imaginary Number -- from Wolfram MathWorld

TOPICS Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld Purely Imaginary Number

A complex number is said to be purely imaginary if it has no real part, i.e., . The term is often used in preference to the simpler "imaginary" in situations where can in general assume complex values with nonzero real parts, but in a particular case of interest, the real part is identically zero.

See alsoComplex Number

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Complex Plane

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Imaginary Number

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Real Part Explore with Wolfram|Alpha

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Cite this as:

Weisstein, Eric W. "Purely Imaginary Number." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PurelyImaginaryNumber.html

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