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It admits a CW structure with one cell in each dimension. The terminology for a generic 2-dimensional CW complex is a shadow. [8] A polyhedron is naturally a CW complex. Grassmannian manifolds admit a CW structure called Schubert cells. Differentiable manifolds, algebraic and projective varieties have the homotopy type of CW complexes.
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.
If is cellular with cell-datum (,,,) and is an ideal (a downward closed subset) of the poset then ():= (where the sum runs over and , ()) is a two-sided, -invariant ideal of and the quotient / is cellular with cell datum (,,,) (where i denotes the induced involution and M, C denote the restricted mappings).
The form comes with two worksheets, one to calculate exemptions, and another to calculate the effects of other income (second job, spouse's job). The bottom number in each worksheet is used to fill out two if the lines in the main W4 form. The main form is filed with the employer, and the worksheets are discarded or held by the employee.
A cellular automaton consists of a regular grid of cells, each in one of a finite number of states, such as on and off (in contrast to a coupled map lattice). The grid can be in any finite number of dimensions. For each cell, a set of cells called its neighborhood is defined relative to the specified cell.
In mathematics and computability theory, an elementary cellular automaton is a one-dimensional cellular automaton where there are two possible states (labeled 0 and 1) and the rule to determine the state of a cell in the next generation depends only on the current state of the cell and its two immediate neighbors.
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