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  2. DFA minimization - Wikipedia

    en.wikipedia.org/wiki/DFA_minimization

    The state of a deterministic finite automaton = (,,,,) is unreachable if no string in exists for which = (,).In this definition, is the set of states, is the set of input symbols, is the transition function (mapping a state and an input symbol to a set of states), is its extension to strings (also known as extended transition function), is the initial state, and is the set of accepting (also ...

  3. Powerset construction - Wikipedia

    en.wikipedia.org/wiki/Powerset_construction

    Brzozowski's algorithm for DFA minimization uses the powerset construction, twice. It converts the input DFA into an NFA for the reverse language, by reversing all its arrows and exchanging the roles of initial and accepting states, converts the NFA back into a DFA using the powerset construction, and then repeats its process.

  4. Thompson's construction - Wikipedia

    en.wikipedia.org/wiki/Thompson's_construction

    To decide whether two given regular expressions describe the same language, each can be converted into an equivalent minimal deterministic finite automaton via Thompson's construction, powerset construction, and DFA minimization. If, and only if, the resulting automata agree up to renaming of states, the regular expressions' languages agree.

  5. Detrended fluctuation analysis - Wikipedia

    en.wikipedia.org/wiki/Detrended_fluctuation_analysis

    In stochastic processes, chaos theory and time series analysis, detrended fluctuation analysis (DFA) is a method for determining the statistical self-affinity of a signal. It is useful for analysing time series that appear to be long-memory processes (diverging correlation time , e.g. power-law decaying autocorrelation function ) or 1/f noise .

  6. Partition refinement - Wikipedia

    en.wikipedia.org/wiki/Partition_refinement

    An early application of partition refinement was in an algorithm by Hopcroft (1971) for DFA minimization. In this problem, one is given as input a deterministic finite automaton, and must find an equivalent automaton with as few states as possible. Hopcroft's algorithm maintains a partition of the states of the input automaton into subsets ...

  7. Derivative-free optimization - Wikipedia

    en.wikipedia.org/wiki/Derivative-free_optimization

    Derivative-free optimization (sometimes referred to as blackbox optimization) is a discipline in mathematical optimization that does not use derivative information in the classical sense to find optimal solutions: Sometimes information about the derivative of the objective function f is unavailable, unreliable or impractical to obtain.

  8. Design for assembly - Wikipedia

    en.wikipedia.org/wiki/Design_for_assembly

    The DFA method, like the AEM method, was originally made available in the form of a handbook where the user would enter data on worksheets to obtain a rating for the ease of assembly of a product. Starting in 1981, Geoffrey Boothroyd and Peter Dewhurst developed a computerized version of the DFA method which allowed its implementation in a ...

  9. Microsoft Office shared tools - Wikipedia

    en.wikipedia.org/wiki/Microsoft_Office_shared_tools

    Microsoft Graph (originally known as Microsoft Chart) is an OLE application deployed by Microsoft Office programs such as Excel and Access to create charts and graphs. The program is available as an OLE application object in Visual Basic. Microsoft Graph supports many different types of charts, but its output is dated.

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