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**Rigid** or **rigidity** may refer to:

- In mathematics and physics:
- Stiffness, the property of a solid body to resist deformation, which is sometimes referred to as rigidity
- Structural rigidity, a mathematical theory of the stiffness of ensembles of rigid objects connected by hinges
- Rigidity (electromagnetism), the resistance of a charged particle to deflection by a magnetic field
- Rigidity (mathematics), a property of a collection of mathematical objects (for instance sets or functions)
- Rigid body, in physics, a simplification of the concept of an object to allow for modelling.
- Rigid transformation, in mathematics, a rigid transformation preserves distances between every pair of points.

- In medicine:
- Rigidity (neurology), an increase in muscle tone leading to a resistance to passive movement throughout the range of motion
- Rigidity (psychology), an obstacle to problem solving which arises from over-dependence on prior experiences

- In economics:
- Real rigidity and nominal rigidity, the resistance of prices and wages to marketchanges in macroeconomics.

- Ridgid, a brand of tools

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