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  2. Multiplication algorithm - Wikipedia

    en.wikipedia.org/wiki/Multiplication_algorithm

    11 and 3 are written at the top; 11 is halved (5.5) and 3 is doubled (6). The fractional portion is discarded (5.5 becomes 5). 5 is halved (2.5) and 6 is doubled (12). The fractional portion is discarded (2.5 becomes 2). The figure in the left column (2) is even, so the figure in the right column (12) is discarded. 2 is halved (1) and 12 is ...

  3. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    In the second step, they were divided by 3. The final result, ⁠ 4 / 3 ⁠, is an irreducible fraction because 4 and 3 have no common factors other than 1. The original fraction could have also been reduced in a single step by using the greatest common divisor of 90 and 120, which is 30. As 120 ÷ 30 = 4, and 90 ÷ 30 = 3, one gets

  4. Simplification - Wikipedia

    en.wikipedia.org/wiki/Simplification

    Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:

  5. 3:10 to Yuma (2007 film) - Wikipedia

    en.wikipedia.org/wiki/3:10_to_Yuma_(2007_film)

    3:10 to Yuma is a 2007 American western action drama film directed by James Mangold and produced by Cathy Konrad, starring Russell Crowe and Christian Bale in the lead roles, with supporting performances by Peter Fonda, Gretchen Mol, Ben Foster, Dallas Roberts, Alan Tudyk, Vinessa Shaw, and Logan Lerman. Bale plays a rancher impoverished by ...

  6. Nested radical - Wikipedia

    en.wikipedia.org/wiki/Nested_radical

    In the case of two nested square roots, the following theorem completely solves the problem of denesting. [2]If a and c are rational numbers and c is not the square of a rational number, there are two rational numbers x and y such that + = if and only if is the square of a rational number d.

  7. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.

  8. Sum and Product Puzzle - Wikipedia

    en.wikipedia.org/wiki/Sum_and_Product_Puzzle

    The first solution with no prime number is the fourth which appears at X + Y ≤ 2522 or higher with values X = 16 = 2·2·2·2 and Y = 111 = 3·37. If the condition Y > X > 1 is changed to Y > X > 2, there is a unique solution for thresholds X + Y ≤ t for 124 < t < 5045, after which there are multiple solutions. At 124 and below, there are ...

  9. Künneth theorem - Wikipedia

    en.wikipedia.org/wiki/Künneth_theorem

    The classical statement of the Künneth theorem relates the singular homology of two topological spaces X and Y and their product space. In the simplest possible case the relationship is that of a tensor product , but for applications it is very often necessary to apply certain tools of homological algebra to express the answer.