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Curvature and on
* Curvature vector on Britannica
; Curvature of Field: The Petzval field curvature means that the image instead of lying in a plane actually lies on a curved surface which is described as hollow or round.
* Historical Comments on Monge's Ellipsoid and the Configuration of Lines of Curvature on Surfaces Immersed in R < sup > 3 </ sup >

Curvature and can
Curvature of the spine ( kyphoscoliosis and lordosis ) progresses during childhood and can cause problems with breathing.
Curvature of the spine ( scoliosis and lumbar lordosis ) may be severe and can cause problems with breathing.
An important question related to Curvature invariants is when the set of polynomial curvature invariants can be used to ( locally ) distinguish manifolds.

Curvature and from
** the spacetime Curvature from the Friedmann equations in cosmology

Curvature and with
* Curvature form for the appropriate notion of curvature for vector bundles and principal bundles with connection
* Z. Shen, C. Sormani " The Topology of Open Manifolds with Nonnegative Ricci Curvature " ( a survey )
* G. Wei, " Manifolds with A Lower Ricci Curvature Bound " ( a survey )
York is widely credited with being the first to recognize the importance of conformal geometry in the initial value problem, and with introducing concepts now called the York Curvature and York Time.

Curvature and .
* Curvature of spacetime is a relativistic manifestation of the existence of mass.
Curvature is extremely weak and difficult to measure.
* James Casey: Exploring Curvature.
Curvature of the earth limits the reach of the signal, but due to the high orbit of the satellites, two or three are usually sufficient to provide coverage for an entire continent.
:* Curvature myopia is attributed to excessive, or increased, curvature of one or more of the refractive surfaces of the eye, especially the cornea.
* On the Permissible Numerical Value of the Curvature of Space, The Abraham Zelmanov Journal, 2008, Volume 1, P. 64-73
* D. Rawlins: " Methods for Measuring the Earth's Size by Determining the Curvature of the Sea " and " Racking the Stade for Eratosthenes ", appendices to " The Eratosthenes-Strabo Nile Map.
; Curvature continuity ( G2 ): further requires the end vectors to be of the same length and rate of length change.
* Shoshichi Kobayashi and Katsumi Nomizu ( 1963 ) Foundations of Differential Geometry, Vol. I, Chapter 2. 5 Curvature form and structure equation, p 75, Wiley Interscience.
* AAOS. org, Kyphosis ( Curvature of the spine )
Therefore, the telescope employs a Center of Curvature Alignment Sensor ( CCAS ) situated at the top of a tall tower adjacent to the dome.
Ren Li, senior independent study, " Investigating the Ricci and Weyl Curvature Tensors in the Weak Lensing Context.
The tower next to the telescope, called the Center of Curvature Alignment Sensor Tower ( CCAS ), is used to calibrate the mirror segments.
* http :// www. seas. upenn. edu /~ cis70005 / cis700sl10pdf. pdf: Lines of Curvature, Geodesic Torsion,
Curvature in the opposite direction, that is, apex posteriorly ( humans ) or dorsally ( mammals ) is termed kyphosis.

on and curved
Most seams are sewn with backstitch, especially on curved, slanted or loose edges.
Just as the pressure exerted by surface tension in a spherical drop is Af and the pressure exerted by surface tension on a cylindrical shape is Af, the pressure exerted by any curved surface is Af, where **yg is the interfacial tension and Af and Af are the two radii of curvature.
As it will be discussed later, peripheral defocusing can be improved on by utilizing curved fiber couplers.
However, an episode of Richard Hammond's Engineering Connections relating to the Keck Observatory ( whose reflector glass is based on the Archimedes ' Mirror ) did successfully use a much smaller curved mirror to burn a wooden model, though not made of the same quality of materials as in the MythBusters effort.
* Stability on both straight and curved track.
Inflation answers the classic conundrum of the Big Bang cosmology: why does the universe appear flat, homogeneous, and isotropic in accordance with the cosmological principle when one would expect, on the basis of the physics of the Big Bang, a highly curved, heterogeneous universe?
But by the 1st century AD, Pliny the Elder was in a position to claim that everyone agrees on the spherical shape of Earth, although there continued to be disputes regarding the nature of the antipodes, and how it is possible to keep the ocean in a curved shape.
It is flat on classical guitars and slightly curved crosswise on acoustic and electric guitars.
The bill was large at long and curved downwards at the top ; the bill also had deep white grooves in both the upper and lower mandibles, up to seven on the upper mandible and twelve on the lower mandible in summer, though there were fewer in winter.
Modern field hockey sticks are J-shaped and constructed of a composite of wood, glass fibre or carbon fibre ( sometimes both ) and have a curved hook at the playing end, a flat surface on the playing side and curved surface on the rear side.
However, when a magnetic field with a perpendicular component is applied, their paths between collisions are curved so that moving charges accumulate on one face of the material.
A harmonica holder clamps the harmonica between two metal brackets, which are attached to a curved loop of metal that rests on the shoulders.
* PF – Performer series 1977 – 82 with a pair of Super 1970s humbuckers mahogany body and maple neck with rosewood fingerboard – Pf 100, bolt on neck ; PF 200 bolt on neck with curved maple top ; PF 300 with set neck, curved maple top and tri sound ; PF 400 as 300 but with carved maple cap.
The curved sword is a far more efficient weapon when wielded by a warrior on horseback where the curve of the blade adds considerably to the downward force of a cutting action.
If a distinction is drawn, then it is that Yang – Mills theories occur on a flat space-time, whereas Kaluza – Klein treats the more general case of curved spacetime.
The long extractor, situated on top of the bolt, was inspired by the Jarmann mechanism, while the use of curved surfaces for cocking and ejecting the spent round was probably inspired by the designs from Mauser.
Depending on the design of the cavity ( whether the mirrors are flat or curved ), the light coming out of the laser may spread out or form a narrow beam.

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