| 1. | Infinite-dimensional sphere by identifying each pair of antipodal points.
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| 2. | Any two antipodal points on the Poincar?sphere refer to orthogonal polarization states.
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| 3. | It is understood that antipodal points on the equator represent a single line.
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| 4. | The requirement to pass at least two antipodal points causes some problems in route planning.
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| 5. | It can be seen that the route does not pass through any pairs of antipodal points.
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| 6. | Identifying and amounts to identifying with, which in turn amounts to identifying antipodal points on.
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| 7. | The exception is a pair of antipodal points, for which there are infinitely many great circles.
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| 8. | Any two great circles intersect precisely in two antipodal points ( identified in the projective plane ).
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| 9. | As a antipodal points where the axis of this theoretical dipole intersects the Earth's surface.
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| 10. | An impact event may cause a mantle plume ( volcanism ) at the antipodal point of the impact.
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