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  2. Force-directed graph drawing - Wikipedia

    en.wikipedia.org/wiki/Force-directed_graph_drawing

    Force-directed graph drawing algorithms assign forces among the set of edges and the set of nodes of a graph drawing.Typically, spring-like attractive forces based on Hooke's law are used to attract pairs of endpoints of the graph's edges towards each other, while simultaneously repulsive forces like those of electrically charged particles based on Coulomb's law are used to separate all pairs ...

  3. Free body diagram - Wikipedia

    en.wikipedia.org/wiki/Free_body_diagram

    A force arrow should lie along the line of force, but where along the line is irrelevant. A force on an extended rigid body is a sliding vector. non-rigid extended. The point of application of a force becomes crucial and has to be indicated on the diagram. A force on a non-rigid body is a bound vector. Some use the tail of the arrow to indicate ...

  4. Graph labeling - Wikipedia

    en.wikipedia.org/wiki/Graph_labeling

    In the mathematical discipline of graph theory, a graph labeling is the assignment of labels, traditionally represented by integers, to edges and/or vertices of a graph. [1] Formally, given a graph G = (V, E), a vertex labeling is a function of V to a set of labels; a graph with such a function defined is called a vertex-labeled graph.

  5. Graph Modelling Language - Wikipedia

    en.wikipedia.org/wiki/Graph_Modelling_Language

    Graph-tool, a free Python module for manipulation and statistical analysis of graphs. NetworkX, an open source Python library for studying complex graphs. Tulip (software) is a free software in the domain of information visualisation capable of manipulating huge graphs (with more than 1.000.000 elements).

  6. Hooke's law - Wikipedia

    en.wikipedia.org/wiki/Hooke's_law

    Hooke's law: the force is proportional to the extension Bourdon tubes are based on Hooke's law. The force created by gas pressure inside the coiled metal tube above unwinds it by an amount proportional to the pressure. The balance wheel at the core of many mechanical clocks and watches depends on Hooke's law. Since the torque generated by the ...

  7. Coriolis force - Wikipedia

    en.wikipedia.org/wiki/Coriolis_force

    In the inertial frame of reference (upper part of the picture), the black ball moves in a straight line. However, the observer (red dot) who is standing in the rotating/non-inertial frame of reference (lower part of the picture) sees the object as following a curved path due to the Coriolis and centrifugal forces present in this frame.

  8. Tree (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Tree_(graph_theory)

    In graph theory, a tree is an undirected graph in which any two vertices are connected by exactly one path, or equivalently a connected acyclic undirected graph. [1] A forest is an undirected graph in which any two vertices are connected by at most one path, or equivalently an acyclic undirected graph, or equivalently a disjoint union of trees ...

  9. Influence line - Wikipedia

    en.wikipedia.org/wiki/Influence_line

    An influence line for a given function, such as a reaction, axial force, shear force, or bending moment, is a graph that shows the variation of that function at any given point on a structure due to the application of a unit load at any point on the structure. An influence line for a function differs from a shear, axial, or bending moment diagram.