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Glite Dictionary
😐 Making less serious ➗ Making simple
trivialization

trivialization

9.1
A way of showing a complex structure is the same as a simple one
  • noun
  • /ˌtrɪviəlaɪˈzeɪʃən/
  • Specialized
translation icon : trivialización
  • Using a trivialization, the mathematicians were able to simplify the proof and highlight its essential features.

Examples

  • The trivialization process revealed new insights into the structure of the mathematical model, making it easier to understand.

  • By applying a trivialization, the problem became much easier to solve.

  • A local trivialization can help mathematicians analyze the properties of a fibre bundle.

  • The concept of trivialization is essential in understanding certain geometric structures.

  • The trivialization of complex theories can mislead students.

  • He criticized the trivialization of significant mathematical concepts.

  • In higher mathematics, a good trivialization allows for a clear comparison between complex and simple systems.

Synonyms

isomorphism
vstrivialization
  • Specialized
1 9.6

A one-to-one match between two structures that keeps how their parts relate

shows a process proving a complex object equals a simple standard using those correspondences
uniformization
vstrivialization
  • Specialized
9.9

A method in mathematics that makes a complicated space into a simple uniform one

proves equivalence to a trivial object rather than merely giving a uniform description

Surface Forms

trivialization singular
trivializations plural

Morphology

trivialization = trivialize (semi-transparent) = trivialize + ation

Morphologically regular nominalization from 'trivialize' but the mathematical meaning is a specialized technical usage that may not be inferable by an average B1 learner.

Etymology

Trivialization comes from Latin trivium 'place where three roads meet' and the word trivial for something 'common' or 'ordinary'. In math, a trivialization is a way to show a complex object is really simple or like a basic one, so it means making something easier to understand.