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  2. Signed graph - Wikipedia

    en.wikipedia.org/wiki/Signed_graph

    A signed graph is the special kind of gain graph in which the gain group has order 2. The pair (G, B(Σ)) determined by a signed graph Σ is a special kind of biased graph. The sign group has the special property, not shared by larger gain groups, that the edge signs are determined up to switching by the set B(Σ) of balanced cycles. [19]

  3. Sign function - Wikipedia

    en.wikipedia.org/wiki/Sign_function

    Signum function = ⁡. In mathematics, the sign function or signum function (from signum, Latin for "sign") is a function that has the value −1, +1 or 0 according to whether the sign of a given real number is positive or negative, or the given number is itself zero.

  4. Signed area - Wikipedia

    en.wikipedia.org/wiki/Signed_area

    In mathematics, the signed area or oriented area of a region of an affine plane is its area with orientation specified by the positive or negative sign, that is "plus" (+) or "minus" (). More generally, the signed area of an arbitrary surface region is its surface area with specified orientation.

  5. Degree (graph theory) - Wikipedia

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

    A complete graph (denoted , where is the number of vertices in the graph) is a special kind of regular graph where all vertices have the maximum possible degree, . In a signed graph , the number of positive edges connected to the vertex v {\displaystyle v} is called positive deg ( v ) {\displaystyle (v)} and the number of connected negative ...

  6. Sign (mathematics) - Wikipedia

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

    In graph theory, a signed graph is a graph in which each edge has been marked with a positive or negative sign. In mathematical analysis, a signed measure is a generalization of the concept of measure in which the measure of a set may have positive or negative values. The concept of signed distance is used to convey side, inside or out.

  7. Signed distance function - Wikipedia

    en.wikipedia.org/wiki/Signed_distance_function

    The graph (bottom, in red) of the signed distance between the points on the xy plane (in blue) and a fixed disk (also represented on top, in gray) A more complicated set (top) and the graph of its signed distance function (bottom, in red).

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    mail.aol.com

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  9. Integral - Wikipedia

    en.wikipedia.org/wiki/Integral

    This double integral can be defined using Riemann sums, and represents the (signed) volume under the graph of z = f(x,y) over the domain R. [40] Under suitable conditions (e.g., if f is continuous), Fubini's theorem states that this integral can be expressed as an equivalent iterated integral [41]