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<blockquote data-quote="IncommensurableLoop" data-source="post: 201226" data-attributes="member: 12241"><p><strong>diffeomorphism: </strong>isomorphism of smooth manifolds. It is an invertible function that maps one differentiable manifold to another such that both the function and its inverse are smooth.</p><p>This looks similar to graph paper made out of cloth. You then frame the cloth on the edges and throw a ball onto the middle of the cloth. This causes a warping of the graph paper. Similar to “curved space time” I guess</p><p></p><p><strong>stereographic projection: </strong>particular mapping (function) that projects a sphere onto a plane. The projection is defined on the entire sphere, except at one point: the projection point. Where it is defined, the mapping is smooth and bijective.</p><p>This looks similar to a cone shape from the top apex of a ball to the table. I dont know how else to describe it</p></blockquote><p></p>
[QUOTE="IncommensurableLoop, post: 201226, member: 12241"] [B]diffeomorphism: [/B]isomorphism of smooth manifolds. It is an invertible function that maps one differentiable manifold to another such that both the function and its inverse are smooth. This looks similar to graph paper made out of cloth. You then frame the cloth on the edges and throw a ball onto the middle of the cloth. This causes a warping of the graph paper. Similar to “curved space time” I guess [B]stereographic projection: [/B]particular mapping (function) that projects a sphere onto a plane. The projection is defined on the entire sphere, except at one point: the projection point. Where it is defined, the mapping is smooth and bijective. This looks similar to a cone shape from the top apex of a ball to the table. I dont know how else to describe it [/QUOTE]
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