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  2. Induction puzzles - Wikipedia

    en.wikipedia.org/wiki/Induction_puzzles

    Induction puzzles are logic puzzles, which are examples of multi-agent reasoning, where the solution evolves along with the principle of induction. [1][2] A puzzle's scenario always involves multiple players with the same reasoning capability, who go through the same reasoning steps. According to the principle of induction, a solution to the ...

  3. Pure mathematics - Wikipedia

    en.wikipedia.org/wiki/Pure_mathematics

    Pure mathematics studies the properties and structure of abstract objects, [ 1 ] such as the E8 group, in group theory. This may be done without focusing on concrete applications of the concepts in the physical world. Pure mathematics is the study of mathematical concepts independently of any application outside mathematics.

  4. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study ...

  5. Judea Pearl - Wikipedia

    en.wikipedia.org/wiki/Judea_Pearl

    Judea Pearl (born September 4, 1936) is an Israeli-American computer scientist and philosopher, best known for championing the probabilistic approach to artificial intelligence and the development of Bayesian networks (see the article on belief propagation). He is also credited for developing a theory of causal and counterfactual inference ...

  6. Trivia - Wikipedia

    en.wikipedia.org/wiki/Trivia

    Trivia is information and data that are considered to be of little value. Modern usage of the term trivia dates to the 1960s, when college students introduced question-and-answer contests to their universities. A board game, Trivial Pursuit, was released in 1982 in the same vein as these contests. Since the beginning of its modern usage, trivia ...

  7. 50 (number) - Wikipedia

    en.wikipedia.org/wiki/50_(number)

    In mathematics. Fifty is the smallest number that is the sum of two non-zero square numbers in two distinct ways: 50 = 1 2 + 7 2 = 5 2 + 5 2 (the former is the sum of squares of divisors of 7). [1] It is also the sum of three squares, 50 = 3 2 + 4 2 + 5 2 (that feature in the smallest Pythagorean triple), and the sum of four squares, 50 = 6 2 ...

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