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The commutative diagram used in the proof of the five lemma. In mathematics, and especially in category theory, a commutative diagram is a diagram such that all directed paths in the diagram with the same start and endpoints lead to the same result. [1] It is said that commutative diagrams play the role in category theory that equations play in ...
If instead 5...Rd1+, then 6.Kc5 Rd7 and Black enters a second-rank defense. ... Diagram 1 is a draw, because the rook can give a perpetual check from f7, g7, ...
The butterfly diagram show a data-flow diagram connecting the inputs x (left) to the outputs y that depend on them (right) for a "butterfly" step of a radix-2 Cooley–Tukey FFT algorithm. This diagram resembles a butterfly as in the Morpho butterfly shown for comparison, hence the name.
2. Kf6 Kb6. Black has to spend a tempo on preventing the white king from reaching his pawn. If 2...h3 then 3.Ke7 h2 4.c7 Kb7 5.Kd7 and both pawns promote, with a drawn position. 3. Ke5! Kxc6. Black has to spend another tempo to capture the pawn, to prevent the white king from protecting it. If 3...h3 then 4.Kd6 h2 5.c7 h1=Q 6.c8=Q, draw. [6]
A simple flowchart representing a process for dealing with a non-functioning lamp.. A flowchart is a type of diagram that represents a workflow or process.A flowchart can also be defined as a diagrammatic representation of an algorithm, a step-by-step approach to solving a task.
Let H = {h 1, h 2, ..., h k} be the convex hull of P; then the farthest-point Voronoi diagram is a subdivision of the plane into k cells, one for each point in H, with the property that a point q lies in the cell corresponding to a site h i if and only if d(q, h i) > d(q, p j) for each p j ∈ S with h i ≠ p j, where d(p, q) is the Euclidean ...
The state diagram from Figure 2 is an example of an extended state machine, in which the complete condition of the system (called the extended state) is the combination of a qualitative aspect—the state variable—and the quantitative aspects—the extended state variables.
The diagram consists of a set of words and arrows. Causal loop diagrams are accompanied by a narrative which describes the causally closed situation the CLD describes. Closed loops, or causal feedback loops, in the diagram are very important features of CLDs because they may help identify non-obvious vicious circles and virtuous circles.