hyperellipse

noun

Etymology

From hyper- + ellipse.

  1. derived from ἔλλειψις
  2. learned borrowing from ellīpsis
  3. borrowed from ellipse
  4. prefixed as hyperellipse — “hyper + ellipse

Definitions

  1. A superellipse

    A superellipse: a curve in two dimensions of a certain type, a generalization of the ellipse.

    • The hyperellipse is defined by (x/a)ⁿ + (y/b)ⁿ = 1 with b ≤ a, where n is the shape parameter and a and b are the axes along the x and y axes, respectively.
  2. Specifically, a superellipse with an exponent (shape parameter) greater than that of the…

    Specifically, a superellipse with an exponent (shape parameter) greater than that of the ellipse (two).

  3. A multi-dimensional manifold of a certain type, a generalization of the ellipse and…

    A multi-dimensional manifold of a certain type, a generalization of the ellipse and ellipsoid.

    • This algorithm extends the model of RNS by incorporating multiple hypershape (hypersphere, hyperrectangle, or hyperellipse) detector representation in the unit hypercube [0, 1]ⁿ (Balachandran et al., 2007).

The neighborhood

Vish — recursive loop

No curated loop yet for hyperellipse. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA