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Glite Dictionary
🔢 Making complex-valued 🧩 Making more complicated
complexification

complexification

9.9
Making a real math object use complex numbers for its coordinates
  • noun
  • /kəmˌplɛksɪfɪˈkeɪʃən/
  • Specialized
translation icon : complejización
  • The complexification of a real vector space involves allowing complex scalar coefficients.

Examples

  • The complexification of a real vector space is a common technique in advanced mathematics.

  • By applying complexification, the mathematician could analyze the problem using complex numbers.

  • Understanding complexification is essential for students studying higher-level algebra and geometry.

  • The complexification of the vector space allows for more advanced calculations.

  • Understanding complexification is crucial for advanced mathematics.

  • Through complexification, mathematicians can explore properties of a manifold in greater depth.

  • Students often struggle with the complexification of real numbers when learning complex analysis.

Surface Forms

complexification singular
complexifications plural

Morphology

complexification = complexify (opaque) = complex + ify + ication

The word is structurally built on 'complexify', but the mathematical sense is specialized and not straightforwardly predictable from the everyday meaning of 'complex'.

Etymology

Complexification is made from complex, meaning 'complex numbers', and -ification, meaning 'making' or 'turning into'. So in mathematics it means turning a real object into one that uses 'complex numbers'.