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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.
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.
The motion of the rod is termed elliptical motion. The semi-axes a and b of the ellipses have lengths equal to the distances from the point on the rod to each of the two pivots. The straight lines described by the pivots are special cases of an ellipse, where the length of one axis is twice the distance between the pivots and that of the other ...
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
Six-dimensional elliptical space and hyperbolic spaces are also studied, with constant positive and negative curvature. Formally, six-dimensional Euclidean space, R 6 {\displaystyle \mathbb {R} ^{6}} , is generated by considering all real 6- tuples as 6- vectors in this space.
The product of any elliptic curve with any curve is an elliptic surface (with no singular fibers). All surfaces of Kodaira dimension 1 are elliptic surfaces.; Every complex Enriques surface is elliptic, and has an elliptic fibration over the projective line.
The Bohr–Sommerfeld model (also known as the Sommerfeld model or Bohr–Sommerfeld theory) was an extension of the Bohr model to allow elliptical orbits of electrons around an atomic nucleus. Bohr–Sommerfeld theory is named after Danish physicist Niels Bohr and German physicist Arnold Sommerfeld .