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  2. Scientific method - Wikipedia

    en.wikipedia.org/wiki/Scientific_method

    The iterative cycle inherent in this step-by-step method goes from point 3 to 6 and back to 3 again. While this schema outlines a typical hypothesis/testing method, [ 48 ] many philosophers, historians, and sociologists of science, including Paul Feyerabend , [ h ] claim that such descriptions of scientific method have little relation to the ...

  3. Finite element method - Wikipedia

    en.wikipedia.org/wiki/Finite_element_method

    In the first step above, the element equations are simple equations that locally approximate the original complex equations to be studied, where the original equations are often partial differential equations (PDE). To explain the approximation in this process, the finite element method is commonly introduced as a special case of Galerkin method.

  4. Monte Carlo method - Wikipedia

    en.wikipedia.org/wiki/Monte_Carlo_method

    The approximation of a normal distribution with a Monte Carlo method. Monte Carlo methods, or Monte Carlo experiments, are a broad class of computational algorithms that rely on repeated random sampling to obtain numerical results. The underlying concept is to use randomness to solve problems that might be deterministic in principle.

  5. Case-based reasoning - Wikipedia

    en.wikipedia.org/wiki/Case-based_reasoning

    A lawyer who advocates a particular outcome in a trial based on legal precedents or a judge who creates case law is using case-based reasoning. So, too, an engineer copying working elements of nature (practicing biomimicry) is treating nature as a database of solutions to problems. Case-based reasoning is a prominent type of analogy solution ...

  6. Eight disciplines problem solving - Wikipedia

    en.wikipedia.org/wiki/Eight_Disciplines_Problem...

    Eight disciplines problem solving. Eight Disciplines Methodology (8D) is a method or model developed at Ford Motor Company used to approach and to resolve problems, typically employed by quality engineers or other professionals. Focused on product and process improvement, its purpose is to identify, correct, and eliminate recurring problems. [1]

  7. Mathematical induction - Wikipedia

    en.wikipedia.org/wiki/Mathematical_induction

    Description. The simplest and most common form of mathematical induction infers that a statement involving a natural number n (that is, an integer n ≥ 0 or 1) holds for all values of n. The proof consists of two steps: The base case (or initial case): prove that the statement holds for 0, or 1. The induction step (or inductive step, or step ...

  8. Case method - Wikipedia

    en.wikipedia.org/wiki/Case_method

    The case method is a teaching approach that uses decision-forcing cases to put students in the role of people who were faced with difficult decisions at some point in the past. It developed during the course of the twentieth-century from its origins in the casebook method of teaching law pioneered by Harvard legal scholar Christopher C. Langdell.

  9. Root cause analysis - Wikipedia

    en.wikipedia.org/wiki/Root_cause_analysis

    In the field of science and engineering, root cause analysis (RCA) is a method of problem solving used for identifying the root causes of faults or problems. [1] It is widely used in IT operations, manufacturing, telecommunications, industrial process control, accident analysis (e.g., in aviation, [2] rail transport, or nuclear plants), medicine (for medical diagnosis), healthcare industry (e ...