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How and why did it happen that a sphere of cultural activity was transformed from a craft to an art?
The next step is to argue that two such worlds could differ only in that a sphere is spinning in one of them but motionless in the other.
If so, the model predicted that a sphere should act as a kind of optical illusion, appearing further away than it was.
Collision detection between inside of the skull and the brain model are performed based on an approximation that a sphere represents a shape of the head.
This result indicates that a sphere at a viscoelastic material gas interface, as well as the liquid gas system, is in equilibrium when θ end becomes equal to θ eq. We also confirmed whether the value of θ eq was appropriate comparing the apparent surface free energy reported by Roberts et al. [2].
Finally, analysis of discrete element method (DEM) computer simulations of spheres in a rotating, circular drum without baffles show that a sphere passing through the "spray zone" has an orientation corresponding to a preferred rotation from the sphere's orientation during its last past through the spray zone.
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The surface area of the heart was approximated as that of a sphere with a radius of 315 µm, yielding a value of 1,246,898 square µm (A = 4πr).
The resulting stress field differs significantly from that predicted in a sphere that was 'manufactured' in a stress free state and then set to rotate.
In projective geometry, the stereographic projection [8] is a certain mapping (function) that projects a sphere onto a plane.
That is a sphere in the group (tilde{G}=Gtimes mathbb {R}) in the pseudo-metric (tilde{d}_{epsilon }( (x,t), (y,s))= max ( d_epsilon (x,y), sqrt{|t-s|} )).
For the purpose of volume calibration, the automated system pushes a droplet of the material out of the micropipette that forms a sphere at the micropipette tip.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com