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A cell-chain (and in fact the only cell chain) is given by 0 ⊆ R d × d {\displaystyle 0\subseteq R^{\!d\times d}} In some sense all cellular algebras "interpolate" between these two extremes by arranging matrix-algebra-like pieces according to the poset Λ {\displaystyle \Lambda } .
20 points and their Voronoi cells (larger version below) In mathematics, a Voronoi diagram is a partition of a plane into regions close to each of a given set of objects. It can be classified also as a tessellation. In the simplest case, these objects are just finitely many points in the plane (called seeds, sites, or generators).
The fundamental polygon of is a -gon which gives a CW-structure with one 2-cell, 1-cells, and one 0-cell. The 2-cell is attached along the boundary of the -gon, which contains every 1-cell twice, once forwards and once backwards. This means the attaching map is zero, since the forwards and backwards directions of each 1-cell cancel out.
A better representation which can handle the large number of variables and parameters is called a bifurcation diagram (bifurcation theory): the presence of these special steady-state points at certain values of a parameter (e.g. mass) is represented by a point and once the parameter passes a certain value, a qualitative change occurs, called a ...
2 Chloroplast envelope. 2.1 Outer membrane 2.2 Intermembrane space 2.3 Inner membrane. 3 Thylakoid. 3.1 Thylakoid space 3.2 Thylakoid membrane. 4 Stromal thylakoid 5 Stroma 6 Nucleoid (DNA ring) 7 Ribosome 8 Plastoglobulus 9 Starch granule
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If we let ~ be the corresponding CW complex ~ = then there is a homotopy equivalence ~ given by sliding the new 2-cell into X. 2) Adding/removing a relation. The act of adding a relation is similar, only one is replacing X by ~ = where the new 3-cell has an attaching map that consists of the new 2-cell and remainder mapping into .
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