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  2. Calculus on finite weighted graphs - Wikipedia

    en.wikipedia.org/wiki/Calculus_on_finite...

    This involves formulating discrete operators on graphs which are analogous to differential operators in calculus, such as graph Laplacians (or discrete Laplace operators) as discrete versions of the Laplacian, and using these operators to formulate differential equations, difference equations, or variational models on graphs which can be ...

  3. Differential calculus - Wikipedia

    en.wikipedia.org/wiki/Differential_calculus

    The graph of =, with a straight line that is tangent to (,). The slope of the tangent line is equal to . (The axes of the graph do not use a 1:1 scale.) The derivative of a function is then simply the slope of this tangent line.

  4. TI-89 series - Wikipedia

    en.wikipedia.org/wiki/TI-89_series

    They are differentiated from most other TI graphing calculators by their computer algebra system, which allows symbolic manipulation of algebraic expressions—equations can be solved in terms of variables— whereas the TI-83/84 series can only give a numeric result.

  5. Notation for differentiation - Wikipedia

    en.wikipedia.org/wiki/Notation_for_differentiation

    for the first derivative, for the second derivative, for the third derivative, and for the nth derivative. When f is a function of several variables, it is common to use "∂", a stylized cursive lower-case d, rather than "D". As above, the subscripts denote the derivatives that are being taken.

  6. Automatic differentiation - Wikipedia

    en.wikipedia.org/wiki/Automatic_differentiation

    The nodes in the adjoint graph represent multiplication by the derivatives of the functions calculated by the nodes in the primal. For instance, addition in the primal causes fanout in the adjoint; fanout in the primal causes addition in the adjoint; [ a ] a unary function y = f ( x ) in the primal causes x̄ = ȳ f ′( x ) in the adjoint; etc.

  7. 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 ...