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The concept of dualities appears in various fields, and it refers to a situation where two seemingly different concepts or structures are found to be equivalent or related in a deep way. Here are some prominent examples of dualities across different disciplines: ### 1. **Mathematics** - **Vector Spaces and Linear Functionals**: The dual space of a vector space consists of all linear functionals defined on that space.

Ancestors (6)

  1. Duality theories
  2. Category theory
  3. Fields of abstract algebra
  4. Fields of mathematics
  5. Mathematics
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