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  2. Jordan–Wigner transformation - Wikipedia

    en.wikipedia.org/wiki/Jordan–Wigner_transformation

    The Jordan–Wigner transformation is often used to exactly solve 1D spin-chains such as the Ising and XY models by transforming the spin operators to fermionic operators and then diagonalizing in the fermionic basis. This transformation actually shows that the distinction between spin-1/2 particles and fermions is nonexistent.

  3. Structure-mapping theory - Wikipedia

    en.wikipedia.org/wiki/Structure-mapping_theory

    During evaluation, they judge whether the analogy is relevant and plausible. [6] This process has been described as solving the selection problem in analogy, [11] or explaining how individuals choose which inferences to map from the base to target domain as analogies would be fruitless if all possible inferences were made. An analogy can be ...

  4. Analogy - Wikipedia

    en.wikipedia.org/wiki/Analogy

    Analogy is a comparison or correspondence between two things (or two groups of things) because of a third element that they are considered to share. [1]In logic, it is an inference or an argument from one particular to another particular, as opposed to deduction, induction, and abduction.

  5. Argument from analogy - Wikipedia

    en.wikipedia.org/wiki/Argument_from_analogy

    Argument from analogy is a special type of inductive argument, where perceived similarities are used as a basis to infer some further similarity that has not been observed yet. Analogical reasoning is one of the most common methods by which human beings try to understand the world and make decisions. [ 1 ]

  6. How to Solve It - Wikipedia

    en.wikipedia.org/wiki/How_to_Solve_It

    Pólya lays a big emphasis on the teachers' behavior. A teacher should support students with devising their own plan with a question method that goes from the most general questions to more particular questions, with the goal that the last step to having a plan is made by the student.

  7. Mathematics and Plausible Reasoning - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_plausible...

    Polya begins Volume I with a discussion on induction, not mathematical induction, but as a way of guessing new results.He shows how the chance observations of a few results of the form 4 = 2 + 2, 6 = 3 + 3, 8 = 3 + 5, 10 = 3 + 7, etc., may prompt a sharp mind to formulate the conjecture that every even number greater than 4 can be represented as the sum of two odd prime numbers.

  8. Carville reflects on failed prediction that Harris would ...

    www.aol.com/carville-reflects-failed-prediction...

    Democratic political strategist James Carville, who has been openly critical of the Harris campaign since Democrats’ 2024 election losses, reflected on his failed prediction that Vice President ...

  9. General Problem Solver - Wikipedia

    en.wikipedia.org/wiki/General_Problem_Solver

    GPS was the first computer program that separated its knowledge of problems (rules represented as input data) from its strategy of how to solve problems (a generic solver engine). GPS was implemented in the third-order programming language, IPL. [2]