Hyperellipsoid

Translation of "hyperellipsoid" into Russian

Noun

/ˌhaɪpəˈrɛlɪspɔɪd/

/ˌhaɪpərɪˈlɪspɔɪd/

hyperellipsoid

hyperellipsoids pl

The mathematician studied the properties of a hyperellipsoid.

Математик изучал свойства гиперэллипсоида.

Noun

/ˌhaɪpəˈrɛlɪspɔɪd/

/ˌhaɪpərɪˈlɪspɔɪd/

A geometric surface or solid figure in higher-dimensional space that generalizes the properties of an ellipse or ellipsoid.

In advanced mathematics, a hyperellipsoid can be used to describe complex shapes in multidimensional spaces.

The set of points in n-dimensional Euclidean space satisfying an equation of the form ∑(xᵢ/aᵢ)² = 1.

In ℝ⁴, the equation x²/a² + y²/b² + z²/c² + w²/d² = 1 defines a hyperellipsoid.

Adjective

/ˌhaɪpəˈrɛlɪspɔɪd/

/ˌhaɪpərɪˈlɪspɔɪd/

Relating to or having the shape or properties of a hyperellipsoid.

The hyperellipsoid model offers a better fit for multidimensional data.