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  2. Secretary problem - Wikipedia

    en.wikipedia.org/wiki/Secretary_problem

    Sometimes this strategy is called the / stopping rule, because the probability of stopping at the best applicant with this strategy is already about / for moderate values of . One reason why the secretary problem has received so much attention is that the optimal policy for the problem (the stopping rule) is simple and selects the single best ...

  3. Optimal stopping - Wikipedia

    en.wikipedia.org/wiki/Optimal_stopping

    There are generally two approaches to solving optimal stopping problems. [4] When the underlying process (or the gain process) is described by its unconditional finite-dimensional distributions , the appropriate solution technique is the martingale approach, so called because it uses martingale theory, the most important concept being the Snell ...

  4. Odds algorithm - Wikipedia

    en.wikipedia.org/wiki/Odds_algorithm

    In decision theory, the odds algorithm (or Bruss algorithm) is a mathematical method for computing optimal strategies for a class of problems that belong to the domain of optimal stopping problems. Their solution follows from the odds strategy, and the importance of the odds strategy lies in its optimality, as explained below.

  5. Algorithm - Wikipedia

    en.wikipedia.org/wiki/Algorithm

    Flowchart of using successive subtractions to find the greatest common divisor of number r and s. In mathematics and computer science, an algorithm (/ ˈ æ l ɡ ə r ɪ ð əm / ⓘ) is a finite sequence of mathematically rigorous instructions, typically used to solve a class of specific problems or to perform a computation. [1]

  6. Carnot's theorem (thermodynamics) - Wikipedia

    en.wikipedia.org/wiki/Carnot's_theorem...

    The proof of the Carnot theorem is a proof by contradiction or reductio ad absurdum (a method to prove a statement by assuming its falsity and logically deriving a false or contradictory statement from this assumption), based on a situation like the right figure where two heat engines with different efficiencies are operating between two ...

  7. Renewable energy - Wikipedia

    en.wikipedia.org/wiki/Renewable_energy

    In contrast, controllable renewable energy sources include dammed hydroelectricity, bioenergy, or geothermal power. Percentages of various types of sources in the top renewable energy-producing countries across each geographical region in 2023. Renewable energy systems have rapidly become more efficient and cheaper over the past 30 years. [3]

  8. Cramer's rule - Wikipedia

    en.wikipedia.org/wiki/Cramer's_rule

    [4] [5] [6] Cramer's rule, implemented in a naive way, is computationally inefficient for systems of more than two or three equations. [7] In the case of n equations in n unknowns, it requires computation of n + 1 determinants, while Gaussian elimination produces the result with the same computational complexity as the computation of a single ...

  9. Keynesian economics - Wikipedia

    en.wikipedia.org/wiki/Keynesian_economics

    F.A. Hayek, an Austrian-style economist described Keynesianism as a system of "economics of abundance" stating it is, "a system of economics which is based on the assumption that no real scarcity exists, and that the only scarcity with which we need concern ourselves is the artificial scarcity created by the determination of people not to sell ...