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One example of a fixed-point theorem is the rigid rotation of a sphere for example, the surface of the earth.
For example, the surface of a sphere separates the interior from the exterior; a horizontal plane separates the half-plane above it from the half-plane below.
One example of a fixed-point theorem is the rigid rotation of a sphere — for example, the surface of the earth.
But if the surface is curved — for example, the surface of a ball or a doughnut — then the shortest distance... will also be along a curved path, and can thus be more complicated.
An undevelopable surface is any surface that cannot be flattened into a map without stretching, tearing, or compressing itself, as for example the surface of a sphere.
For example, the surface of the polymer gel can be optimized for cell attachment.
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For example, the surfaces of condensers in desalination plants or power plants work best when they are superhydrophobic, so droplets constantly slide off and can be replaced by new ones.
For example, visualizing the surface of binary data can be written as (see Fig. 4 for the resulting visualization).
An alternative method which involves segregation of the graphene phase, for example, on the surface of a proper substrate allows to obtain high-quality conductive and transparent films.
For example, while the surface of both parasites is dominated by a family of GPI-anchored surface antigens, glycosylation of the surface proteins between the two parasites appears to be substantially different as assessed by dye and lectin staining [19].
Perhaps this reflects venous backpressure due to restriction at the major outflow routes, for example on the surface of the distorted brain.
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