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In linguistics, ellipsis (from Ancient Greek ἔλλειψις (élleipsis) 'omission') or an elliptical construction is the omission from a clause of one or more words that are nevertheless understood in the context of the remaining elements. There are numerous distinct types of ellipsis acknowledged in theoretical syntax.
In probability and statistics, an elliptical distribution is any member of a broad family of probability distributions that generalize the multivariate normal distribution. Intuitively, in the simplified two and three dimensional case, the joint distribution forms an ellipse and an ellipsoid , respectively, in iso-density plots.
The fundamental domain of an elliptic function as the unit cell of its period lattice. Parallelogram where opposite sides are identified. If is an elliptic function with periods , it also holds that
The fundamental plane is a set of bivariate correlations connecting some of the properties of normal elliptical galaxies.Some correlations have been empirically shown. The fundamental plane is usually expressed as a relationship between the effective radius, average surface brightness and central velocity dispersion of normal elliptical galaxies.
Noun ellipsis (N-ellipsis), also noun phrase ellipsis (NPE), is a mechanism that elides, or appears to elide, part of a noun phrase that can be recovered from context. The mechanism occurs in many languages like English, which uses it less than related languages.
Sommerfeld showed that, if electronic orbits are elliptical instead of circular (as in Bohr's model of the atom), the fine-structure of the hydrogen atom can be described. The Bohr–Sommerfeld model added to the quantized angular momentum condition of the Bohr model with a radial quantization (condition by William Wilson , the Wilson ...
The modularity theorem implies a closely related analytic statement: To each elliptic curve E over we may attach a corresponding L-series.The L-series is a Dirichlet series, commonly written
where (h, k) is the center of the ellipse in Cartesian coordinates, in which an arbitrary point is given by (x, y).The semi-major axis is the mean value of the maximum and minimum distances and of the ellipse from a focus — that is, of the distances from a focus to the endpoints of the major axis