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Deformations in the plane (left) and the flat metric (right)

Peridynamics for anti-plane shear and torsional deformations

Peridynamics for anti-plane shear and torsional deformations

... This study presents the peridynamic equation of motion for anti-plane shear and torsional deformations, as well as the peridynamic material parameters. After establishing the validity of this equation, ...

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The minimal model program for deformations of Hilbert schemes of points on the projective plane

The minimal model program for deformations of Hilbert schemes of points on the projective plane

... 1. Introduction The Hilbert scheme of points on an algebraic variety is the moduli space that parameterizes 0-dimensional subschemes of length n on the variety, with given positive integer n. In the case of curves, the ...

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3−space with flat metric

3−space with flat metric

... the plane, helicoid, hyper- bolic paraboloid and some translation surfaces are defined by elliptic integrals veri- fying the equation of minimal surfaces in Lorentz Heisenberg 3−space H 3 endowed with a left ...

14

Deformations of plane curve singularities and the δ constant stratum

Deformations of plane curve singularities and the δ constant stratum

... local flat connection on E|U by setting ∇(s i ) = 0 for all ...global flat connection on the bundle due to the fact that the transition maps are locally ...

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Large plane deformations of thin elastic sheets of neo-hookean material

Large plane deformations of thin elastic sheets of neo-hookean material

... In this section several simple examples involving membranes with traction-free edges are considered, and the application of the modified method is illustrated. In the[r] ...

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A flat plane that is not the limit of periodic flat planes

A flat plane that is not the limit of periodic flat planes

... Figure 4: Z − X and Z : The eight squares of the figure on the left are glued together following the gluing pattern to form Z − X . To form Z , we add a copy of X at the N E corner, identifying the loops in X labeled by ...

8

Flat Cavities formed in TZP caused by Superplastic Deformations at High Strain Rates and Their Effect on Elongation

Flat Cavities formed in TZP caused by Superplastic Deformations at High Strain Rates and Their Effect on Elongation

... tensile axis. This result, i.e., the flat cavities were intergra- nular crack-like ones, is supported also by the fact that the fracture surface of the specimen deformed under HSC showed a plane-like surface with ...

9

FLAT BACK SYNDROME IN THE THORACIC REGION OF THE SAGGITAL PLANE OF THE SPINE (angles less than 30 )

FLAT BACK SYNDROME IN THE THORACIC REGION OF THE SAGGITAL PLANE OF THE SPINE (angles less than 30 )

... In the basic prone position, hold the left arm raised upwards and the right arm downwards, and then raise both arms upwards simultaneously without raising the trunk. In t[r] ...

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On some interactive mesh deformations

On some interactive mesh deformations

... a plane passing through the currently selected control point and with the gradient of the volume as its normal, as shown in Figure ...This plane remains constant until a different control point is picked ...

162

ON THE METRIC GEOMETRY OF THE PLANE N-LINE*

ON THE METRIC GEOMETRY OF THE PLANE N-LINE*

... 1900] F. MORLEY: METRIC GEOMETRY OF THE PLANE N-LINE 111 arrive at this same point in whatever order we employ the foci, provided we use each p — 1 times. Thus for 6 lines we may take the inverses of fx as ...

19

Metric geometry of the Grushin plane and generalizations

Metric geometry of the Grushin plane and generalizations

... Grushin plane, as developed in Section ...Grushin plane, all balls centered on the singular line are self-similar (relative to the Euclidean metric) by the corresponding version of the dilation ...

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Ricci-flat deformations of orbifolds and asymptotically locally Euclidean manifolds

Ricci-flat deformations of orbifolds and asymptotically locally Euclidean manifolds

... complex deformations implies that Ricci-flat deformations of Ricci-flat Kähler metrics are Kähler, possibly with respect to a perturbed complex ...

139

Deformations Of G2-Structures, String Dualities And Flat Higgs Bundles

Deformations Of G2-Structures, String Dualities And Flat Higgs Bundles

... And Flat Higgs Bundles Abstract We study M-theory compactifications on G2-orbifolds and their resolutions given by total spaces of coassociative ALE-fibrations over a compact flat Riemannian 3-manifold ...

179

Focal plane model for flat refractive geometry

Focal plane model for flat refractive geometry

... A thin lens is described by two idealizations. First, all rays traced through the lens are assumed to be close enough to the optical axis so that the trigonometric functions of the angle between the ray and the axis can ...

7

Metric Measurements on a Plane from a Single Image

Metric Measurements on a Plane from a Single Image

... Figure 8: The top image was rectified using known circles (wheels). Shown below is the rectified image from which the distance between the cars can be measured. 4 Discussion This paper surveys three techniques for ...

20

An Analytical Solution in the Complex Plane for the Luminosity Distance in Flat Cosmology

An Analytical Solution in the Complex Plane for the Luminosity Distance in Flat Cosmology

... Lorenzo Zaninetti Physics Department, Via P. Giuria 1, Turin, Italy Abstract We present an analytical solution for the luminosity distance in spatially flat cos- mology with pressureless matter and the ...

7

3. M-projectively Flat and Quasi–M–Projectively Flat Kenmotsu Manifolds with Respect to the Semi-symmetric Metric Connection

3. M-projectively Flat and Quasi–M–Projectively Flat Kenmotsu Manifolds with Respect to the Semi-symmetric Metric Connection

... 1 Dr.R M L Government Degree College Aonla, Barielly, U.P., India. Abstract: In the present paper we consider a semi-symmetric metric connection in a Kenmotsu manifold. We deduce the relation between the ...

11

Preferred Metric Sizes for Flat, Round, Square, Rectangular, and Hexagonal Metal Products

Preferred Metric Sizes for Flat, Round, Square, Rectangular, and Hexagonal Metal Products

... Preferred Metric Sizes for Equal and Unequal Leg Angles, T- and Channel-Sections, IPN- and Wide Flange-Beams Structural ...national metric standards data were used as the basis for the tolerance data ...

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Technical Specifications for Flat Panel Single Plane Cardiac Cath-Lab along with Accessories

Technical Specifications for Flat Panel Single Plane Cardiac Cath-Lab along with Accessories

... for Flat Panel Single Plane Cardiac Cath-Lab along with Accessories ...single plane ceiling mounted C-arm Latest state of the art, single plane ceiling mounted C-arm / G-arm Cardiovascular ...

6

Impinging cross-shaped submerged jet on a flat plate: a comparison of plane and hemispherical orifice nozzles

Impinging cross-shaped submerged jet on a flat plate: a comparison of plane and hemispherical orifice nozzles

... Conclusions The present study confirmed the relation between nozzle geometry and mass transfer phenomenon induced by a submerged jet impinged orthogonally on a flat plate. To generate the jet flow, three different ...

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