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Curvature $k$

How a line bends or curves. One-dimensional only. Upwards-curving (“happy smile”) gives a positive curvature; downwards-curving (“sad smile”) a negative curvature.

$$k=\frac 1r$$

$r$ is radius of the imagined circle that the curve is a part of.

  • Scalar property
  • Symbol: $k$
  • SI-unit: Inverse metres $\mathrm{m^{-1}}$

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