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  2. List of numerical analysis topics - Wikipedia

    en.wikipedia.org/wiki/List_of_numerical_analysis...

    Low-rank approximation — find best approximation, constraint is that rank of some matrix is smaller than a given number; Meta-optimization — optimization of the parameters in an optimization method; Multidisciplinary design optimization; Optimal computing budget allocation — maximize the overall simulation efficiency for finding an ...

  3. List of real analysis topics - Wikipedia

    en.wikipedia.org/wiki/List_of_real_analysis_topics

    Convolution. Cauchy product –is the discrete convolution of two sequences; Farey sequence – the sequence of completely reduced fractions between 0 and 1; Oscillation – is the behaviour of a sequence of real numbers or a real-valued function, which does not converge, but also does not diverge to +∞ or −∞; and is also a quantitative measure for that.

  4. Research - Wikipedia

    en.wikipedia.org/wiki/Research

    Artistic research, also seen as 'practice-based research', can take form when creative works are considered both the research and the object of research itself. It is the debatable body of thought which offers an alternative to purely scientific methods in research in its search for knowledge and truth.

  5. Basic research - Wikipedia

    en.wikipedia.org/wiki/Basic_research

    Basic research advances fundamental knowledge about the world. It focuses on creating and refuting or supporting theories that explain observed phenomena. Pure research is the source of most new scientific ideas and ways of thinking about the world. It can be exploratory, descriptive, or explanatory; however, explanatory research is the most ...

  6. Applied science - Wikipedia

    en.wikipedia.org/wiki/Applied_science

    Applied research usually has specific commercial objectives related to products, procedures, or services. [6] The comparison of pure research and applied research provides a basic framework and direction for businesses to follow. [7] Applied research deals with solving practical problems [8] and generally employs empirical methodologies ...

  7. Practice research - Wikipedia

    en.wikipedia.org/wiki/Practice_research

    Practice research aka practice as research, practice based research or/and practitioner researcher is a form of academic research which incorporates practice in the methodology or research output. [ 1 ]

  8. Empirical research - Wikipedia

    en.wikipedia.org/wiki/Empirical_research

    The result of empirical research using statistical hypothesis testing is never proof. It can only support a hypothesis, reject it, or do neither. These methods yield only probabilities. Among scientific researchers, empirical evidence (as distinct from empirical research) refers to objective evidence that appears the same regardless of the ...

  9. Blue skies research - Wikipedia

    en.wikipedia.org/wiki/Blue_skies_research

    Vannevar Bush's 1945 report, Science: The Endless Frontier, made the argument for the value of basic research in the postwar era, and was the basis for many appeals to the federal funding of basic research. [6] The 1957 launch of Sputnik prompted the United States Air Force Office of Scientific Research to sponsor blue skies research into the ...