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  2. Mathematical diagram - Wikipedia

    en.wikipedia.org/wiki/Mathematical_diagram

    In mathematics, and especially in category theory, a commutative diagram is a diagram of objects, also known as vertices, and morphisms, also known as arrows or edges, such that when selecting two objects any directed path through the diagram leads to the same result by composition.

  3. Phase line (mathematics) - Wikipedia

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

    In mathematics, a phase line is a diagram that shows the qualitative behaviour of an autonomous ordinary differential equation in a single variable, = (). The phase line is the 1-dimensional form of the general n {\displaystyle n} -dimensional phase space , and can be readily analyzed.

  4. Feynman diagram - Wikipedia

    en.wikipedia.org/wiki/Feynman_diagram

    The Feynman diagrams are much easier to keep track of than "old-fashioned" terms, because the old-fashioned way treats the particle and antiparticle contributions as separate. Each Feynman diagram is the sum of exponentially many old-fashioned terms, because each internal line can separately represent either a particle or an antiparticle.

  5. Category:Diagram algebras - Wikipedia

    en.wikipedia.org/wiki/Category:Diagram_algebras

    In mathematics, a diagram algebra is an algebraic structure in which operations are performed using diagrams rather than traditional techniques. In particular, diagrammatic equations can be constructed and manipulated. Usually such algebras have a traditional counterpart which is categorically equivalent.

  6. 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.

  7. Bifurcation diagram - Wikipedia

    en.wikipedia.org/wiki/Bifurcation_diagram

    Symmetry breaking in pitchfork bifurcation as the parameter ε is varied. ε = 0 is the case of symmetric pitchfork bifurcation.. In a dynamical system such as ¨ + (;) + =, which is structurally stable when , if a bifurcation diagram is plotted, treating as the bifurcation parameter, but for different values of , the case = is the symmetric pitchfork bifurcation.

  8. Lill's method - Wikipedia

    en.wikipedia.org/wiki/Lill's_method

    Black segments are labeled with their lengths (coefficients in the equation), while each colored line with initial slope m and the same endpoint corresponds to a real root. In mathematics, Lill's method is a visual method of finding the real roots of a univariate polynomial of any degree. [1] It was developed by Austrian engineer Eduard Lill in ...

  9. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =. [2] [3] ...

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