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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A unit fraction is a common fraction with a numerator of 1 (e.g., ⁠ 1 / 7 ⁠). Unit fractions can also be expressed using negative exponents, as in 2 −1, which represents 1/2, and 2 −2, which represents 1/(2 2) or 1/4. A dyadic fraction is a common fraction in which the denominator is a power of two, e.g. ⁠ 1 / 8 ⁠ = ⁠ 1 / 2 3 ⁠.

  3. Proof that 22/7 exceeds π - Wikipedia

    en.wikipedia.org/wiki/Proof_that_22/7_exceeds_π

    22 7 ⁠ is a widely used Diophantine approximation of π. It is a convergent in the simple continued fraction expansion of π. It is greater than π, as can be readily seen in the decimal expansions of these values: The approximation has been known since antiquity. Archimedes wrote the first known proof that ⁠ 22 7 ⁠ is an overestimate in ...

  4. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    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] In other words, a fraction ⁠a b⁠ is irreducible if and only if a and ...

  5. Gregg shorthand - Wikipedia

    en.wikipedia.org/wiki/Gregg_shorthand

    Gregg shorthand is a system of phonography, or a phonemic writing system, which means it records the sounds of the speaker, not the English spelling. [ 4] For example, it uses the f stroke for the / f / sound in funnel, telephone, and laugh, [ 8] and omits all silent letters. [ 4] The system is written from left to right and the letters are joined.

  6. Eighth Amendment to the United States Constitution - Wikipedia

    en.wikipedia.org/wiki/Eighth_Amendment_to_the...

    The Bill of Rights in the National Archives. The Eighth Amendment ( Amendment VIII) to the United States Constitution protects against imposing excessive bail, excessive fines, or cruel and unusual punishments. This amendment was adopted on December 15, 1791, along with the rest of the United States Bill of Rights. [ 1]

  7. Simplified Chinese characters - Wikipedia

    en.wikipedia.org/wiki/Simplified_Chinese_characters

    Simplified Chinese characters are one of two standardized character sets widely used to write the Chinese language, with the other being traditional characters.Their mass standardization during the 20th century was part of an initiative by the People's Republic of China (PRC) to promote literacy, and their use in ordinary circumstances on the mainland has been encouraged by the Chinese ...

  8. 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 ...

  9. Numbered musical notation - Wikipedia

    en.wikipedia.org/wiki/Numbered_musical_notation

    The numbered musical notation (simplified Chinese: 简谱; traditional Chinese: 簡譜; pinyin: jiǎnpǔ; lit. 'simplified notation', not to be confused with the integer notation) is a cipher notation system used in Mainland China, Taiwan, Hong Kong, and to some extent in Japan, Indonesia (in a slightly different format called "not angka"), Malaysia, Australia, Ireland, the United Kingdom ...