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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. A commutative diagram depicting the five lemma
2", meaning that this is the second of three 6-crossing 3-component links to be listed. [6] [7] The Conway notation for the Borromean rings, ".1", is an abbreviated description of the standard link diagram for this link. [8]
Using the diagram and summing the incident branches into x 1 this equation is seen to be satisfied. As all three variables enter these recast equations in a symmetrical fashion, the symmetry is retained in the graph by placing each variable at the corner of an equilateral triangle. Rotating the figure 120° simply permutes the indices.
In particular, there is a bipartite "incidence graph" or "Levi graph" corresponding to every hypergraph, and conversely, every bipartite graph can be regarded as the incidence graph of a hypergraph when it is 2-colored and it is indicated which color class corresponds to hypergraph vertices and which to hypergraph edges.
Chord diagrams are useful for showing relationships between entities and their relative magnitudes in comparison to alternative arcs. As a result, chord diagrams are popular in migration studies, economic flows, and genome studies. They have also been used to highlight unexplored relationships to help address the problem of filter bubbles. [2]
A signal-flow graph or signal-flowgraph (SFG), invented by Claude Shannon, [1] but often called a Mason graph after Samuel Jefferson Mason who coined the term, [2] is a specialized flow graph, a directed graph in which nodes represent system variables, and branches (edges, arcs, or arrows) represent functional connections between pairs of nodes.
A circuit diagram (or: wiring diagram, electrical diagram, elementary diagram, electronic schematic) is a graphical representation of an electrical circuit. A pictorial circuit diagram uses simple images of components, while a schematic diagram shows the components and interconnections of the circuit using standardized symbolic representations.
For example, an 8×8 Beneš network (i.e. with N = 8) is shown below; it has 2 log 2 8 − 1 = 5 stages, each containing N/2 = 4 2×2 crossbar switches, and it uses a total of N log 2 N − N/2 = 20 2×2 crossbar switches. The central three stages consist of two smaller 4×4 Beneš networks, while in the center stage, each 2×2 crossbar switch ...