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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 ...
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.
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 ...
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 ...
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 ...
A Sudoku with 18 clues and two-way diagonal symmetry. This section refers to classic Sudoku, disregarding jigsaw, hyper, and other variants. A completed Sudoku grid is a special type of Latin square with the additional property of no repeated values in any of the nine blocks (or boxes of 3×3 cells).
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 ...
In mathematics, the adjective trivial is often used to refer to a claim or a case which can be readily obtained from context, or an object which possesses a simple structure (e.g., groups, topological spaces). [1][2] The noun triviality usually refers to a simple technical aspect of some proof or definition.
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