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The hardness of approximation refers to the difficulty of finding approximate solutions to certain optimization problems within a specified factor of the optimal solution. In computational complexity theory, it describes how hard it is to approximate the optimum value of a problem, particularly in the context of NP-hard problems. ### Key Concepts: 1. **Optimization Problems**: These are problems where the goal is to find the best solution (often a maximum or minimum) among a set of feasible solutions.

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  1. Approximation algorithms
  2. Algorithms
  3. Applied mathematics
  4. Fields of mathematics
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