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2. Flow graph (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Flow_graph_(mathematics)

   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.

3. Signal-flow graph - Wikipedia

   en.wikipedia.org/wiki/Signal-flow_graph

   Solve the equations for the desired output variables. Examine the solutions and the assumptions. If needed, reanalyze or redesign the system. —RC Dorf and RH Bishop, Modern Control Systems, Chapter 2, p. 2. In this workflow, equations of the physical system's mathematical model are used to derive the signal-flow graph equations.

4. Fanno flow - Wikipedia

   en.wikipedia.org/wiki/Fanno_flow

   The equation above can be used to plot the Fanno line, which represents a locus of states for given Fanno flow conditions on an H-ΔS diagram. In the diagram, the Fanno line reaches maximum entropy at H = 0.833 and the flow is choked.

5. Phase plane - Wikipedia

   en.wikipedia.org/wiki/Phase_plane

   In applied mathematics, in particular the context of nonlinear system analysis, a phase plane is a visual display of certain characteristics of certain kinds of differential equations; a coordinate plane with axes being the values of the two state variables, say (x, y), or (q, p) etc. (any pair of variables).

6. Galois theory - Wikipedia

   en.wikipedia.org/wiki/Galois_theory

   Galois' theory provides a much more complete answer to this question, by explaining why it is possible to solve some equations, including all those of degree four or lower, in the above manner, and why it is not possible for most equations of degree five or higher.

7. Logistic map - Wikipedia

   en.wikipedia.org/wiki/Logistic_map

   However, equation (3-11) is a 16th-order equation, and even if we factor out the four solutions for the fixed points and the 2-periodic points, it is still a 12th-order equation . Therefore, it is no longer possible to solve this equation to obtain an explicit function of a that represents the values of the 4-periodic points in the same way as ...