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Glite Dictionary
💭 In the mind only 🔢 Mathematically, with i
imaginarily

imaginarily

9.9
A math way of using the number i in complex numbers
  • adverb
  • /ɪˈmædʒɪnɛrɪli/
  • Specialized
translation icon : imaginariamente
  • When multiplied imaginarily, the value acquires a factor of i and rotates in the complex plane.

Examples

  • The equation can be solved imaginarily by considering the imaginary part of each term.

  • Some solutions exist only imaginarily, with no real number representation.

  • When working with complex equations, we often think imaginarily about solutions.

  • Is it possible to think imaginarily about the solutions to this equation?

  • The solutions to the equation can be expressed imaginarily by incorporating the imaginary unit i.

  • To solve the polynomial, we find that some roots exist imaginarily, not represented by real numbers.

  • In complex analysis, we often represent numbers imaginarily when dealing with functions involving the imaginary part.

Surface Forms

imaginarily positive

Morphology

imaginarily = imaginary (transparent) = imaginary + ly

Formed directly from the adjective 'imaginary' plus the productive adverbial suffix '-ly'; the mathematical sense is domain-specific but derivation is clear.

Etymology

The word imaginarily comes from imaginary, which is related to imagine and literally means 'not real'. In math people use 'imaginary' for the part of a complex number that is not a 'real' number, so to work imaginarily is to use that special unit i or the imaginary part.