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  2. Graph equation - Wikipedia

    en.wikipedia.org/wiki/Graph_equation

    In graph theory, Graph equations are equations in which the unknowns are graphs. One of the central questions of graph theory concerns the notion of isomorphism. We ask: When are two graphs the same? (i.e., graph isomorphism) The graphs in question may be expressed differently in terms of graph equations. [1]

  3. List of mathematical functions - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_functions

    Algebraic functions are functions that can be expressed as the solution of a polynomial equation with integer coefficients. Polynomials: Can be generated solely by addition, multiplication, and raising to the power of a positive integer. Constant function: polynomial of degree zero, graph is a horizontal straight line

  4. Algebraic geometry - Wikipedia

    en.wikipedia.org/wiki/Algebraic_geometry

    More advanced questions involve the topology of the curve and the relationship between curves defined by different equations. Algebraic geometry occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex analysis, topology and number theory.

  5. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    This equation states that , representing the square of the length of the side that is the hypotenuse, the side opposite the right angle, is equal to the sum (addition) of the squares of the other two sides whose lengths are represented by a and b. An equation is the claim that two expressions have the same value and are equal.

  6. Graph algebra - Wikipedia

    en.wikipedia.org/wiki/Graph_algebra

    This notion has made it possible to use the methods of graph theory in universal algebra and several other areas of discrete mathematics and computer science.Graph algebras have been used, for example, in constructions concerning dualities, [2] equational theories, [3] flatness, [4] groupoid rings, [5] topologies, [6] varieties, [7] finite-state machines, [8] [9] tree languages and tree ...

  7. 8 Questions To Ask Yourself Before You Take Out Student Loans

    www.aol.com/finance/8-questions-ask-yourself...

    Here are eight questions to consider before taking out student loans. Should I Pursue Federal or Private Loans? There are two primary sources of student loans: federal and private.

  8. 17-Year-Old Cheerleader Is Stabbed to Death Days Before ...

    www.aol.com/17-old-cheerleader-stabbed-death...

    A 17-year-old cheerleader from California was stabbed to death just days before Christmas — and police say they've arrested an "acquaintance" in connection with the case.

  9. Slope field - Wikipedia

    en.wikipedia.org/wiki/Slope_field

    The slope field can be defined for the following type of differential equations ′ = (,), which can be interpreted geometrically as giving the slope of the tangent to the graph of the differential equation's solution (integral curve) at each point (x, y) as a function of the point coordinates. [3]

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