The twisted cubic is a specific type of space curve in three-dimensional space, often discussed in the context of algebraic geometry and differential geometry. It can be defined parametrically as a function of a single variable \( t \): \[ \mathbf{c}(t) = (t, t^2, t^3) \] for \( t \) in the real numbers, \( \mathbb{R} \).
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The twisted cubic is the image ofin . Its ideal is generated by the three minors ofand it has degree three.