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complex quantity

complex quantity

9.0
A number with one real part and one imaginary part
  • noun
  • /ˈkɒmplɛks ˈkwɒntɪti/
  • Specialized
translation icon : número complejo
  • A complex quantity consists of a real part and an imaginary part.

Examples

  • The solution to the equation involves finding a complex quantity with both real and imaginary parts.

  • In electrical engineering, impedance is often represented as a complex quantity.

  • Each point on the Argand diagram represents a unique complex quantity.

  • The mathematician explained the concept of complex quantities in detail.

  • In electrical engineering, voltage can be a complex quantity that includes both magnitude and phase information.

  • Each point on the Argand diagram corresponds to a specific complex quantity made up of a real part and an imaginary part.

  • The formula for evaluating roots of polynomials can lead to a complex quantity as a solution.

Synonyms

complex number
vscomplex quantity
  • Specialized
1 6.3

A number with a real part and an imaginary part written as a + bi

is an alternative label used for the same mathematical object
imaginary number
vscomplex quantity
  • Specialized
1 7.9

A number in the form a plus b i, where i is the square root of minus one

is the alternate conventional name for that identical number form

Antonyms

real number
  • Specialized
9 3.9

A value that can be shown on a straight line, like 3, 1/2, or pi

Surface Forms

Morphology

complex + quantity

The phrase combines familiar words 'complex' (composed/complicated) and 'quantity' (a numerical value), so a B1 learner would likely infer it denotes some kind of non-simple or composite value. However, the precise mathematical sense — a number with real and imaginary parts (a + bi) — is a technical meaning not predictable from the ordinary senses of the constituents, so it is only partially transparent.

Etymology

The term complex quantity comes from the idea of a number made of two joined parts. The word complex here means 'made of parts' and quantity means 'amount', so the phrase names one number with a 'real' part and an 'imaginary' part.