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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 ...
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 .
As for fractions, the simplest form is considered that in which the numbers in the ratio are the smallest possible integers. Thus, the ratio 40:60 is equivalent in meaning to the ratio 2:3, the latter being obtained from the former by dividing both quantities by 20. Mathematically, we write 40:60 = 2:3, or equivalently 40:60∷2:3.
Form in music is the result of the interaction of the four structural elements described above [sound, harmony, melody, rhythm]." [ 3] These organizational elements may be broken into smaller units called phrases, which express a musical idea but lack sufficient weight to stand alone. [ 4] Musical form unfolds over time through the expansion ...
Each section must be at least two phrases long. [ 1] Binary form is a musical form in 2 related sections, both of which are usually repeated. Binary is also a structure used to choreograph dance. In music this is usually performed as A-A-B-B. Binary form was popular during the Baroque period, often used to structure movements of keyboard sonatas.
Monosaccharides are the simplest units of carbohydrates and the simplest form of sugar. If the carbonyl is at position 1 (that is, n or m is zero), the molecule begins with a formyl group H (C=O)− and is technically an aldehyde. In that case, the compound is termed an aldose. Otherwise, the molecule has a ketone group, a carbonyl − (C=O)− ...
Strophic form. Strophic form – also called verse-repeating form, chorus form, AAA song form, or one-part song form – is a song structure in which all verses or stanzas of the text are sung to the same music. [1] Contrasting song forms include through-composed, with new music written for every stanza, [1] and ternary form, with a contrasting ...
Rondo. The rondo is a musical form that contains a principal theme (sometimes called the "refrain") which alternates with one or more contrasting themes, generally called "episodes", but also occasionally referred to as "digressions" or "couplets". Some possible patterns include: ABACA, ABACAB, ABACBA, or ABACABA.