ellipticity

Definitions

  • WordNet 3.6
    • n ellipticity the property possessed by a round shape that is flattened at the poles "the oblateness of the planet"
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Webster's Revised Unabridged Dictionary
    • n Ellipticity Deviation of an ellipse or a spheroid from the form of a circle or a sphere; especially, in reference to the figure of the earth, the difference between the equatorial and polar semidiameters, divided by the equatorial; thus, the ellipticity of the earth is 1/29966.☞ Some writers use ellipticity as the ratio of the difference of the two semiaxes to the minor axis, instead of the major.
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Century Dictionary and Cyclopedia
    • n ellipticity The quality of being elliptic; the degree of divergence of an ellipse from the circle; specifically, in reference to the figure of the earth, the difference between the equatorial and polar semi-diameters divided by the equatorial: as, the ellipticity of the earth is . It may also without appreciable error be taken as twice the difference divided by the sum of the two axes.
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Chambers's Twentieth Century Dictionary
    • n Ellipticity deviation from the form of a circle or sphere: of the earth, the difference between the equatorial and polar diameters
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Etymology

Webster's Revised Unabridged Dictionary
Cf. F. ellipticité,
Chambers's Twentieth Century Dictionary
L.,—Gr. elleipsiselleipein, to fall short—en, in, leipein, to leave.

Usage

In literature:

It goes slower and slower with each return, and contracts the dimensions of its elliptical journey progressively.
"Chambers's Edinburgh Journal, No. 450" by Various
It was elliptical, touched with technical subtlety, although simple in appearance.
"The Shadow World" by Hamlin Garland
The vertical cast-iron headers have elliptical handholes with raised seats milled to a true plane.
"Steam, Its Generation and Use" by Babcock & Wilcox Co.
These are the ends of elliptic cylinders in connection with the vaulting.
"Bell's Cathedrals: The Cathedral Church of St. Paul" by Arthur Dimock
The comets thus follow a very elongated orbit, either elliptic, turning round the Sun, or parabolic, dashing out into space.
"Astronomy for Amateurs" by Camille Flammarion
A good target may be made of soft pine, circular or elliptical in shape.
"Illustrated Science for Boys and Girls" by Anonymous
It is my intention to-day to speak of similar problems which arise with reference to elliptical States.
"The Romance of Mathematics" by P. Hampson
The spores are elliptical to oval.
"Studies of American Fungi. Mushrooms, Edible, Poisonous, etc." by George Francis Atkinson
Circling round this globe four other spheres revolved in orbits, some almost circular, some elliptical, some parabolic.
"The Crack of Doom" by Robert Cromie
The elliptic form of the path would be quite unmistakable by the most casual observer.
"The Story of the Heavens" by Robert Stawell Ball
Elliptical reflectors do not appear to have been employed up to the present.
"Scientific American Supplement, No. 488, May 9, 1885" by Various
Elliptical: Of a more or less oval outline.
"The Elements of Bacteriological Technique" by John William Henry Eyre
Gardeners were clipping the trees to a point or into an elliptical shape.
"The Works of Theophile Gautier, Volume 5" by Theophile Gautier
The pupil of the eye is long and vertical, of an oval or elliptical shape.
"The Home Medical Library, Volume I (of VI)" by Various
According to Pausanias, it was made of cedar-wood, and elliptic in shape.
"Museum of Antiquity" by L. W. Yaggy
The semicircular vault gradually and insensibly changes into an elliptical one.
"A History of Art in Chaldæa & Assyria, v. 1" by Georges Perrot
Clarke's corresponding figures were: 3,963 and 3,950 miles, giving an ellipticity of 1/293.5.
"A Popular History of Astronomy During the Nineteenth Century" by Agnes M. (Agnes Mary) Clerke
It has a diameter of 2 miles, and is elliptic in outline, with a longer axis of about 3, and a circumference of about 7 miles.
"The Beauties of Nature" by Sir John Lubbock
In his second endeavor Adams assumed that the unknown planet had an elliptical orbit.
"An Introduction to the History of Science" by Walter Libby
And the language in which these sayings are shaped is strangely and sometimes almost unintelligibly elliptical and idiomatic.
"Beast and Man in India" by John Lockwood Kipling
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In news:

Rome's Colosseum is the largest elliptical amphitheatre ever built in the Roman Empire.
Since I hadn't read the British Book Award winning novel, I initially found myself quite baffled by the surrealistic elliptical storyline.
Diamond Spas'€™ stainless steel elliptical soaking tub nestles in white river rocks.
Sputnik Elliptical Filament chandelier in?steel and filament bulbs by Restoration Hardware.
On the sideline was 76ers coach Doug Collins , getting his workout in on the elliptical.
At the gym recently, I found myself on the elliptical machine with two television options in front of me.
The full moon on May 5 reached perigee, which is the closest point to Earth in its elliptical pattern, according to NASA.
On the sideline was 76ers coach Doug Collins, getting his workout in on the elliptical.
Students exercise on the elliptical machines in the Activities and Recreation Center (ARC) at University of Illinois in Champaign, Ill. Dorene Internicola Reuters.
I'm now relying on a heart rate monitor to ensure I'm maintaining my cardio conditioning while on an elliptical machine and bike.
High-Energy Hits for the Elliptical.
At first I tried the stationary bike, then I moved on to an elliptical cross trainer, and finally, my albatross, running.
Astronomers have found an elliptical galaxy that may have been puffed up by the actions of one or more black holes in its core.
Unique to the design of these RoHS-compliant handles is that the tube and the handle legs have the same elliptical profile.
The elliptical piece is constructed from 100 percent post-industrial MDF board, with CFC-free foam and 40 percent recycled steel plinth.
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In science:

For which ellipticity is violated for a given p . 11) Such that ρpn ≍ ρ as n violates ellipticity.
Sharp Spectral Asymptotics for four-dimensional Schroedinger operator with a strong magnetic field. II
Certainly, this is true the case of early-type galaxies (elliptical and S0’s) as demonstrated by studies that examined the residuals from elliptical isophotes (Jedrzejewski 1987).
ARCHANGEL Galaxy Photometry System
We have the elliptic complex (K • , d) in section 1 and we use the Schauder estimates of the elliptic operators with respect to the complex (K • , d) with a constant CK .
Deformations of generalized complex and generalized Kahler structures
We prove in 3.3.1, 3.3.6 below that the set of isomorphism classes of finite dimensional simple spherical H-modules which are Jordan-H¨older composition factors of the homology of an elliptic affine Springer fiber decomposes into families labelled by conjugacy classes of regular elliptic elements in W0 .
Finite dimensional representations of DAHA and affine Springers fibers : the spherical case
The integers which occur as orders of regular or elliptic regular elements are called regular or elliptic numbers respectively.
Finite dimensional representations of DAHA and affine Springers fibers : the spherical case
In this section we will use elliptic Dunkl operators to construct representations of the sheaf of elliptic Cherednik algebras Hc,X,W on the sheaf F := ⊕w∈W L∗ w .
On elliptic Dunkl operators
Here is another version of the definition of the representation πL,∇ of Hτ (X, W ), which refers directly to elliptic Dunkl operators and does not mention elliptic Cherednik algebras.
On elliptic Dunkl operators
Motivated by a period mapping for a primitive form for an unfolding of a function with a simple elliptic singularity, an elliptic root system is introduced .
An O(2,n) formulation of invariant theory for elliptic Weyl group
Elliptical galaxies with blue central regions are observed (E+A galaxies), but they are not typical of the elliptical population.
Is AGN feedback necessary to form red elliptical galaxies?
While this effect is certainly important, the amount of energy released can only be sufficient to offset cooling in low-luminosity elliptical galaxies, but does not even come close to the radiative losses in groups or cluster, or even high-luminosity ellipticals.
Constraining the Nature of X-ray Cavities in Clusters and Galaxies
This is, of course, something that excited Maurice tremendously, given his affinity to QCD jets throughout his life. I will here focus on a different part of the story, related to “elliptic flow”. “Elliptic flow” denotes the anisotropic collective motion of particles produced in non-central heavy-ion collisions.
From SPS to RHIC: Maurice and the CERN heavy-ion programme
Unfortunately, folding the data points into the corresponding phase yields a rather noisy RV curve. A free (elliptic) fit does not converge, so that we have forced a circular solution; however, σo−c is uncomfortably large, probably because the true orbit is elliptical indeed.
A Spectroscopic Survey of WNL Stars in the LMC: General Properties and Binary Status
Now notice that D2Fm is uniformly elliptic in Bρ with ellipticity constants λ, Λ depending only on F.
Minimizers of Convex Functionals Arising in Random Surfaces
Differently from de flector with either e lliptical mass distribution or de flection potential , in our case the ellipticity enters the lens equations only through the elliptical radius.
On aberration in gravitational lensing
For uniformly elliptic environments satisfying certain strong mixing conditions (in particular, for uniformly elliptic, i.i.d. environments), it is known [Zei04] that P(Aℓ ∪ A−ℓ ) ∈ {0, 1}.
Limiting distributions and large deviations for random walks in random environments
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