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  2. Division (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Division_(mathematics)

    This is denoted as 20 / 5 = 4, or ⁠ 20 / 5 ⁠ = 4. [2] In the example, 20 is the dividend, 5 is the divisor, and 4 is the quotient. Unlike the other basic operations, when dividing natural numbers there is sometimes a remainder that will not go evenly into the dividend; for example, 10 / 3 leaves a

  3. Duodecimal - Wikipedia

    en.wikipedia.org/wiki/Duodecimal

    The duodecimal system, also known as base twelve or dozenal, is a positional numeral system using twelve as its base.In duodecimal, the number twelve is denoted "10", meaning 1 twelve and 0 units; in the decimal system, this number is instead written as "12" meaning 1 ten and 2 units, and the string "10" means ten.

  4. Meantone temperament - Wikipedia

    en.wikipedia.org/wiki/Meantone_temperament

    For 12 tone equally-tempered tuning, the fifths have to be tempered by considerably less than a ⁠ 1 / 4 ⁠ comma (very close to a ⁠ 1 / 11 ⁠ syntonic comma, or a ⁠ 1 / 12 ⁠ Pythagorean comma), since they must form a perfect cycle, with no gap at the end, whereas ⁠ 1 / 4 ⁠ comma meantone tuning, as mentioned above, has a residual ...

  5. Pell's equation - Wikipedia

    en.wikipedia.org/wiki/Pell's_equation

    A necessary (but not sufficient) condition for solvability is that n is not divisible by 4 or by a prime of form 4k + 3. [note 3] Thus, for example, x 2 − 3 y 2 = −1 is never solvable, but x 2 − 5 y 2 = −1 may be. [27] The first few numbers n for which x 2 − n y 2 = −1 is solvable are 1 (with only one trivial solution) and

  6. Hexadecimal - Wikipedia

    en.wikipedia.org/wiki/Hexadecimal

    Hexadecimal (also known as base-16 or simply hex) is a positional numeral system that represents numbers using a radix (base) of sixteen. Unlike the decimal system representing numbers using ten symbols, hexadecimal uses sixteen distinct symbols, most often the symbols "0"–"9" to represent values 0 to 9 and "A"–"F" to represent values from ten to fifteen.

  7. Euclidean algorithm - Wikipedia

    en.wikipedia.org/wiki/Euclidean_algorithm

    A 24×60 rectangular area can be divided into a grid of 12×12 squares, with two squares along one edge (24/12 = 2) and five squares along the other (60/12 = 5). The greatest common divisor of two numbers a and b is the product of the prime factors shared by the two numbers, where each prime factor can be repeated as many times as it divides ...

  8. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    A mixed format with decimal fractions is sometimes used, e.g., 3° 5.72 ... 1 point = ⁠ 1 / 8 ⁠ of a right angle = 11.25° = 12.5 grad. Each point is subdivided ...

  9. Numerical digit - Wikipedia

    en.wikipedia.org/wiki/Numerical_digit

    The total value of the number is 1 ten, 0 ones, 3 tenths, and 4 hundredths. The zero, which contributes no value to the number, indicates that the 1 is in the tens place rather than the ones place. The place value of any given digit in a numeral can be given by a simple calculation, which in itself is a complement to the logic behind numeral ...