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The idea of a vector flow, that is, the flow determined by a vector field, occurs in the areas of differential topology, Riemannian geometry and Lie groups. Specific examples of vector flows include the geodesic flow , the Hamiltonian flow , the Ricci flow , the mean curvature flow , and Anosov flows .
1838 map of pre-railroad cargo traffic in Ireland, one of the first thematic maps to use proportional symbols. The earliest known map to visually represent the volume of flow were two maps by engineer Henry Drury Harness, published in 1838 as part of a report on the potential for railroad construction in Ireland, showing the quantity of cargo traffic by road and canal.
An example of a signal-flow graph Flow graph for three simultaneous equations. The edges incident on each node are colored differently just for emphasis. An example of a flow graph connected to some starting equations is presented. The set of equations should be consistent and linearly independent. An example of such a set is: [2]
Example of a Sankey diagram Sankey's original 1898 diagram showing energy efficiency of a steam engine. Sankey diagrams are a data visualisation technique or flow diagram that emphasizes flow/movement/change from one state to another or one time to another, [1] in which the width of the arrows is proportional to the flow rate of the depicted extensive property.
Example of a flow diagram of a nuclear submarine propulsion system. Flow diagram is a diagram representing a flow or set of dynamic relationships in a system. The term flow diagram is also used as a synonym for flowchart, [1] and sometimes as a counterpart of the flowchart. [2]
In mathematics, a chaotic map is a map (an evolution function) that exhibits some sort of chaotic behavior. Maps may be parameterized by a discrete-time or a continuous-time parameter. Discrete maps usually take the form of iterated functions. Chaotic maps often occur in the study of dynamical systems.
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