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  2. Occam's razor - Wikipedia

    en.wikipedia.org/wiki/Occam's_razor

    In software development, the rule of least power argues the correct programming language to use is the one that is simplest while also solving the targeted software problem. In that form the rule is often credited to Tim Berners-Lee since it appeared in his design guidelines for the original Hypertext Transfer Protocol. [84]

  3. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    An irreducible fraction (or fraction in lowest terms, simplest form or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and −1, when negative numbers are considered). [1]

  4. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    The reciprocal of ⁠ 3 / 7 ⁠, for instance, is ⁠ 7 / 3 ⁠. The product of a non-zero fraction and its reciprocal is 1, hence the reciprocal is the multiplicative inverse of a fraction. The reciprocal of a proper fraction is improper, and the reciprocal of an improper fraction not equal to 1 (that is, numerator and denominator are not ...

  5. Slide rule - Wikipedia

    en.wikipedia.org/wiki/Slide_rule

    But since the 7 is above the second set of numbers that number must be multiplied by 10. Thus, even though the answer directly reads 1.4, the correct answer is 1.4×10 = 14. For an example with even larger numbers, to multiply 88×20, the top scale is again positioned to start at the 2 on the bottom scale.

  6. Hilbert's problems - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_problems

    Of the cleanly formulated Hilbert problems, numbers 3, 7, 10, 14, 17, 18, 19, 21, and 20 have resolutions that are accepted by consensus of the mathematical community. Problems 1, 2, 5, 6, [a] 9, 11, 12, 15, and 22 have solutions that have partial acceptance, but there exists some controversy as to whether they resolve the problems.

  7. Caesar cipher - Wikipedia

    en.wikipedia.org/wiki/Caesar_cipher

    In cryptography, a Caesar cipher, also known as Caesar's cipher, the shift cipher, Caesar's code, or Caesar shift, is one of the simplest and most widely known encryption techniques. It is a type of substitution cipher in which each letter in the plaintext is replaced by a letter some fixed number of positions down the alphabet.

  8. Repeating decimal - Wikipedia

    en.wikipedia.org/wiki/Repeating_decimal

    ⁠ 2 / 13 ⁠ = 0. 153846 ⁠ 7 / 13 ⁠ = 0. 538461 ⁠ 5 / 13 ⁠ = 0. 384615 ⁠ 11 / 13 ⁠ = 0. 846153 ⁠ 6 / 13 ⁠ = 0. 461538 ⁠ 8 / 13 ⁠ = 0. 615384; where the repetend of each fraction is a cyclic re-arrangement of 153846. In general, the set of proper multiples of reciprocals of a prime p consists of n subsets, each with ...

  9. 7 - Wikipedia

    en.wikipedia.org/wiki/7

    7 is the only number D for which the equation 2 n − D = x 2 has more than two solutions for n and x natural. In particular, the equation 2 n − 7 = x 2 is known as the Ramanujan–Nagell equation. 7 is one of seven numbers in the positive definite quadratic integer matrix representative of all odd numbers: {1, 3, 5, 7, 11, 15, 33}. [19] [20]