# hyperellipse

## English[edit]

### Etymology[edit]

### Noun[edit]

**hyperellipse** (*plural* **hyperellipses**)

- (geometry) A superellipse: a curve in two dimensions of a certain type, a generalization of the ellipse.
**2003**, M. M. Yovanovich and E. E. Marotta, "Thermal Spreading and Contact Resistances", chapter 4 of Adrian Bejan and Allan D. Kraus (editors),*Heat Transfer Handbook*, Wiley-IEEE, ↑ISBN, page 286:- 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.

- The

- (geometry)
*Specifically*, a superellipse with an exponent (shape parameter) greater than that of the ellipse (two). - (geometry) A multi-dimensional manifold of a certain type, a generalization of the ellipse and ellipsoid.
**2008**, Dipankar Dasgupta and Luis Fernando Niño,*Immunological Computation: Theory and Applications*, CRC Press, ↑ISBN, page 97:- 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).

- This algorithm extends the model of RNS by incorporating multiple hypershape (hypersphere, hyperrectangle, or