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uniformization

uniformization

9.9
A method in mathematics that makes a complicated space into a simple uniform one
  • noun
  • /ˌjunɪfərməˈzeɪʃən/
  • Specialized
translation icon : uniformización
  • Understanding uniformization helps mathematicians simplify and analyze complicated geometric structures.

Examples

  • The uniformization theorem is a fundamental result in the theory of Riemann surfaces.

  • The uniformization of complex spaces is a key concept in modern mathematics.

  • Researchers discussed the uniformization of complex spaces at the international mathematics conference.

  • Mathematicians often study uniformizations to simplify complex structures.

  • The uniformization theorem is a fundamental result in the theory of Riemann surfaces.

  • Researchers discussed the uniformization of complex spaces at the international mathematics conference.

  • Understanding uniformization helps mathematicians simplify and analyze complicated geometric structures.

Synonyms

regularization
vsuniformization
1 6.7

Making something regular and the same in every part

is a mathematical process that gives a space a consistent structure or simplifies it

How Uniform

uniformization
  • Specialized
9.9
normalization
  • Formal
2 5.6

Surface Forms

Morphology

uniformization = uniformize (semi-transparent) = uniform + ization

The noun is formed regularly from the verb 'uniformize', but the mathematical sense is specialized beyond what most B1 learners would infer.

Etymology

Uniformization comes from uniform (built from uni- 'one' and form 'shape') plus the ending -ization 'making'. In mathematics it means giving a space a single, regular 'shape' or turning a complicated surface into a simpler, uniform one so it is easier to study.