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A cell and its two neighbors form a neighborhood of 3 cells, so there are 2 3 = 8 possible patterns for a neighborhood. A rule consists of deciding, for each pattern, whether the cell will be a 1 or a 0 in the next generation. There are then 2 8 = 256 possible rules. [6]
The universe of the Game of Life is an infinite, two-dimensional orthogonal grid of square cells, each of which is in one of two possible states, live or dead (or populated and unpopulated, respectively). Every cell interacts with its eight neighbours, which are the cells that are horizontally, vertically, or diagonally adjacent. At each step ...
G 1 and G 2 are isomorphic if and only if there exists a permutation matrix P such that =. In particular, A 1 and A 2 are similar and therefore have the same minimal polynomial, characteristic polynomial, eigenvalues, determinant and trace. These can therefore serve as isomorphism invariants of graphs.
If-then-else flow diagram A nested if–then–else flow diagram. In computer science, conditionals (that is, conditional statements, conditional expressions and conditional constructs) are programming language constructs that perform different computations or actions or return different values depending on the value of a Boolean expression, called a condition.
A sparse matrix obtained when solving a finite element problem in two dimensions. The non-zero elements are shown in black. In numerical analysis and scientific computing, a sparse matrix or sparse array is a matrix in which most of the elements are zero. [1]
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In finite-element analysis, the essential or Dirichlet boundary condition is defined by weighted-integral form of a differential equation. [2] The dependent unknown u in the same form as the weight function w appearing in the boundary expression is termed a primary variable , and its specification constitutes the essential or Dirichlet boundary ...
If α < 0, it is the closure of the complement of a disk of radius −1/α. Then an edge of the alpha-shape is drawn between two members of the finite point set whenever there exists a generalized disk of radius 1/ α that has the two points on its boundary and that contains none of the point set in its interior .