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  2. Division (mathematics) - Wikipedia

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

    For example, 20 apples divide into five groups of four apples, meaning that "twenty divided by five is equal to four". 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.

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or ⁠ ⁠, where a and b are both integers. [9] As with other fractions, the denominator ( b) cannot be zero. Examples include ⁠ 1 2 ⁠, − ⁠ 8 5 ⁠, ⁠ −8 5 ⁠, and ⁠ 8 −5 ⁠.

  4. Division by two - Wikipedia

    en.wikipedia.org/wiki/Division_by_two

    Division by two. An orange that has been sliced into two halves. In mathematics, division by two or halving has also been called mediation or dimidiation. [ 1] The treatment of this as a different operation from multiplication and division by other numbers goes back to the ancient Egyptians, whose multiplication algorithm used division by two ...

  5. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    For any integer n, n ≡ 1 (mod 2) if and only if 3n + 1 ≡ 4 (mod 6). Equivalently, ⁠ n − 1 / 3 ⁠ ≡ 1 (mod 2) if and only if n ≡ 4 (mod 6). Conjecturally, this inverse relation forms a tree except for the 1–24 loop (the inverse of the 42–1 loop of the unaltered function f defined in the Statement of the problem section of ...

  6. Time signature - Wikipedia

    en.wikipedia.org/wiki/Time_signature

    Most time signatures consist of two numerals, one stacked above the other: The lower numeral indicates the note value that the signature is counting. This number is always a power of 2 (unless the time signature is irrational), usually 2, 4 or 8, but less often 16 is also used, usually in Baroque music. 2 corresponds to the half note (minim), 4 to the quarter note (crotchet), 8 to the eighth ...

  7. Metre (music) - Wikipedia

    en.wikipedia.org/wiki/Metre_(music)

    4, is assumed to either be equivalent to a measure of 3 4 followed by a measure of 2 4, or the opposite: 2 4 then 3 4. Higher metres which are divisible by 2 or 3 are considered equivalent to groupings of tuple or triple metre measures, thus, 6 4, for example, is rarely used because it is considered equivalent to two measures of 3 4. See ...

  8. Power of two - Wikipedia

    en.wikipedia.org/wiki/Power_of_two

    A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent . Powers of two with non-negative exponents are integers: 20 = 1, 21 = 2, and 2n is two multiplied by itself n times. [ 1][ 2] The first ten powers of 2 for non-negative values of n are:

  9. 3rd Battalion, 4th Marines - Wikipedia

    en.wikipedia.org/wiki/3rd_Battalion,_4th_Marines

    3rd Battalion, 4th Marines (3/4) or (V34) is an infantry battalion of the United States Marine Corps. Nicknamed "Thundering Third" and "Darkside," it is based at the Marine Corps Air Ground Combat Center, Twentynine Palms, California, and consist of approximately 1,000 Marines. The unit currently falls under the command of the 7th Marine ...