Differences in voxel-mirrored homotopic
connectivity among groups
two vertices [gamma](0) and [rho](0) of G, are homotopic
if there is a path in G joining them.
The definition of the homotopic
thinning itself already provides an algorithm to compute the ultimate homotopic
m]), x) is defined to be a group generated by all homotopic
classes of closed d-pathes based at x.
28 This is because when E = B = 0, all loops which are homotopic
Since v points inward on [Delta]D, it is homotopic
to the antipodal map A on the one-dimensional sphere, where A([x.
these are homotopic
because the bundles they classify are [Mathematical Expression Omitted] and [Mathematical Expression Omitted] respectively, and so are isomorphic by virtue of the associativity of [cross product].
Hence, a period span analysis is proposed to study the homotopic
process of chaotic attractor.
A result similar to Corollary 9 holds with respect to the notion of homotopic
If L is trim and nuclear, then its order complex is homotopic
to a sphere, whose dimension is 2 less than the number of atoms of L.
The dynamical 3-space is different: here we have only a dynamical 3-space, which at a small scale is a quantum foam system without dimensions and described by fractal or nested homotopic
In topology, this type of changing process is called deformation, and are called homotopic