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  2. Discrete calculus - Wikipedia

    en.wikipedia.org/wiki/Discrete_calculus

    Discrete calculus or the calculus of discrete functions, ... be a function, and fix a point in the domain of . (, () ) is a point on the graph of the ...

  3. Discrete mathematics - Wikipedia

    en.wikipedia.org/wiki/Discrete_mathematics

    [1] [2] [3] By contrast, discrete mathematics excludes topics in "continuous mathematics" such as real numbers, calculus or Euclidean geometry. Discrete objects can often be enumerated by integers ; more formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets [ 4 ] (finite sets or sets with ...

  4. Classification of discontinuities - Wikipedia

    en.wikipedia.org/wiki/Classification_of...

    If a function is not continuous at a limit point (also called "accumulation point" or "cluster point") of its domain, one says that it has a discontinuity there. The set of all points of discontinuity of a function may be a discrete set, a dense set, or even the entire domain of the function.

  5. Outline of discrete mathematics - Wikipedia

    en.wikipedia.org/wiki/Outline_of_discrete...

    Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous.In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic [1] – do not vary smoothly in this way, but have distinct, separated values. [2]

  6. Finite difference method - Wikipedia

    en.wikipedia.org/wiki/Finite_difference_method

    To use a finite difference method to approximate the solution to a problem, one must first discretize the problem's domain. This is usually done by dividing the domain into a uniform grid (see image). This means that finite-difference methods produce sets of discrete numerical approximations to the derivative, often in a "time-stepping" manner.

  7. Calculus - Wikipedia

    en.wikipedia.org/wiki/Calculus

    Calculus and Analysis; Discrete mathematics; ... Calculus is the mathematical study of continuous change, ... Given a function and a point in the domain, the ...

  8. Calculus on finite weighted graphs - Wikipedia

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

    An important ingredient in the calculus on finite weighted graphs is the mimicking of standard differential operators from the continuum setting in the discrete setting of finite weighted graphs. This allows one to translate well-studied tools from mathematics, such as partial differential equations and variational methods, and make them usable ...

  9. Domain (mathematical analysis) - Wikipedia

    en.wikipedia.org/wiki/Domain_(mathematical_analysis)

    In complex analysis, a complex domain (or simply domain) is any connected open subset of the complex plane C. For example, the entire complex plane is a domain, as is the open unit disk, the open upper half-plane, and so forth. Often, a complex domain serves as the domain of definition for a holomorphic function.

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