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Variations
Variation or Variations may refer to: Science and mathematics * Variation (astronomy), any perturbation of the mean motion or orbit of a planet or satellite, particularly of the moon * Genetic variation, the difference in DNA among individuals or the differences between populations ** Human genetic variation, genetic differences in and among populations of humans * Magnetic variation, difference between magnetic north and true north, measured as an angle * ''p''-variation in mathematical analysis, a family of seminorms of functions * Coefficient of variation in probability theory and statistics, a standardized measure of dispersion of a probability distribution or frequency distribution * Total variation in mathematical analysis, a way of quantifying the change in a function over a subset of \mathbb^n or a measure space * Calculus of variations in mathematical analysis, a method of finding maxima and minima of functionals Arts * Variation (ballet) or pas seul, solo danc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Variation (music)
In music, variation is a musical form, formal technique where material is musical repetition, repeated in an altered form. The changes may involve melody, rhythm, harmony, counterpoint, timbre, orchestration or any combination of these. Variation is often contrasted with musical Development (music), development, which is a slightly different means to the same end. Variation depends upon ''one'' type of presentation at a time, while development is carried out upon portions of material treated in ''many'' different presentations and combinations at a time. Variation techniques Wolfgang Amadeus Mozart, Mozart's Twelve Variations on "Ah vous dirai-je, Maman" (1785), a French folk song known in the English-speaking world as "Twinkle, Twinkle, Little Star", exemplifies a number of common variation techniques. Here are the first eight bars of the theme: Melodic variation Mozart's first variation decorates and elaborates the plain melodic line: Rhythmic variation The fifth variat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Variations On A Theme (other)
Variations on a Theme may refer to: * Variations on a Theme of Frank Bridge * Carmen Variations (Horowitz), subtitled "Variations on a Theme from ''Carmen''" * Variations on a Theme of Chopin (Mompou) * Variations on a Theme of Chopin (Rachmaninoff) * Variations on a Theme of Corelli * Variations and Fugue on a Theme by Handel * Variations on a Theme by Haydn * Variations and Fugue on a Theme by Hiller * Variations and Fugue on a Theme by Mozart * Introduction and Variations on a Theme by Mozart (Sor) * Variations and Fugue on a Theme of Purcell, subtitled The Young Person's Guide to the Orchestra * Variations, Interlude and Finale on a Theme by Rameau * Variations on a Theme by Tchaikovsky (Arensky) * Variations on a Theme by William Carlos Williams, a poem by Kenneth Koch * ''Variations on a Theme'' (Om album) * ''Variations on a Theme'' (David Thomas album) * Variations on a Theme Publishing * ''Variation on a Theme'' (play), a 1958 work by the British writer Tere ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Calculus Of Variations
The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in Function (mathematics), functions and functional (mathematics), functionals, to find maxima and minima of functionals: Map (mathematics), mappings from a set of Function (mathematics), functions to the real numbers. Functionals are often expressed as definite integrals involving functions and their derivatives. Functions that maximize or minimize functionals may be found using the Euler–Lagrange equation of the calculus of variations. A simple example of such a problem is to find the curve of shortest length connecting two points. If there are no constraints, the solution is a straight line between the points. However, if the curve is constrained to lie on a surface in space, then the solution is less obvious, and possibly many solutions may exist. Such solutions are known as ''geodesics''. A related problem is posed by Fermat's principle: li ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Les Variations
Les Variations was a French rock band from the late 1960s to mid-1970s that sang mostly in English and was known for its rock guitar-based music. Several of its members were born in Morocco and were of Jewish origin. They were France's first band to headline the famed Olympia Theatre, the first to tour America, the first to sign with a US label and the first to achieve hit records in America. On their last two albums, ''Moroccan Roll'' (1974) and ''Cafe de Paris'' (1975), their compositions, arrangements and lyrics contained sounds and stories of North African and Jewish Sephardic culture as well as the Hebrew songs of the band members’ youth growing up in North Africa. With this sound, they introduced a new rock fusion which is now referred to as Moroccanroll music, which is played throughout North Africa and has influenced many western rock bands over the decades that followed. History Three of the original four members were Moroccan Sephardic Jews. Joe Leb sang vocal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Variations (journal)
Variation or Variations may refer to: Science and mathematics * Variation (astronomy), any perturbation of the mean motion or orbit of a planet or satellite, particularly of the moon * Genetic variation, the difference in DNA among individuals or the differences between populations ** Human genetic variation, genetic differences in and among populations of humans * Magnetic variation, difference between magnetic north and true north, measured as an angle * ''p''-variation in mathematical analysis, a family of seminorms of functions * Coefficient of variation in probability theory and statistics, a standardized measure of dispersion of a probability distribution or frequency distribution * Total variation in mathematical analysis, a way of quantifying the change in a function over a subset of \mathbb^n or a measure space * Calculus of variations in mathematical analysis, a method of finding maxima and minima of functionals Arts * Variation (ballet) or pas seul, solo dance or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Variations (Andrew Lloyd Webber Album)
''Variations'' is a classical and rock fusion album. The music was composed by Andrew Lloyd Webber and performed by his younger brother, the cellist Julian Lloyd Webber. The Lloyd Webber brothers were always very close but their two different careers (a rock musical composer and a classical cellist) meant that a collaboration seemed unlikely. It was not until Julian beat his brother in a bet on a Leyton Orient football match that Andrew was forced to write his cello work. As his subject, Andrew chose the theme of Paganini's 24th caprice and added 23 variations for cello and rock band. The work premiered at the 1977 Sydmonton Festival with rock band Colosseum II, featuring Gary Moore, Jon Hiseman and Don Airey being joined by Barbara Thompson (sax, flute), Rod Argent (piano, synthesizer, keyboards) and Julian Lloyd Webber (cello). It was subsequently rearranged and recorded in 1978. It reached Number 2 on the UK album charts. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Variations (Stravinsky)
''Variations: Aldous Huxley in memoriam'' is Igor Stravinsky's last major orchestral composition, written in 1963–64. History Stravinsky began work on the ''Variations'' in Santa Fe, New Mexico, in July 1963, and completed the composition in Hollywood, California, on 28 October 1964. It was first performed in Chicago on 17 April 1965, by the Chicago Symphony Orchestra conducted by Robert Craft. The score is dedicated to the memory of Stravinsky's close friend Aldous Huxley, who died on 22 November 1963 (the same day that President John F. Kennedy was assassinated), when composition of the ''Variations'' was in progress. Although not composed for the purpose, Stravinsky's music was twice choreographed for the New York City Ballet by George Balanchine, a first version in 1966, and a second version in 1982, both times under the title ''Variations''. Analysis The ''Variations'' are based on a twelve-note row: Opinions about the form differ. According to one view, the work c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Variations (Cage)
''Variations'' is a series of works by the American composer John Cage. A number of the pieces in the series are seminal examples of indeterminate music, others are happenings: performance pieces executed according to the score. The series ''Variations I'' (1958) The first piece in the series is dedicated to David Tudor and was a belated birthday present. The score consists of six transparent squares: one with 27 points of four different sizes, five with five lines each. The squares are to be combined in any way, with points representing sounds, and lines used as axes of various characteristics of these sounds: lowest frequency, simplest overtone structure, etc. Said characteristics are obtained by dropping perpendiculars from points and measuring these perpendiculars. The piece is to be performed by any number of performers on any kind and number of instruments. ''Variations II'' (1961) This work is intended "for any number of players and any sound producing means." The score co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Variations (film)
''Variations'' is a 1998 American short silent avant-garde film directed by Nathaniel Dorsky. It is the second film in a set of "Four Cinematic Songs", which also includes '' Triste'', ''Arbor Vitae'', and ''Love's Refrain''. Production Since the 1960s, Dorsky had operated by shooting footage without a specific use in mind and then editing films together from the available shots. For ''Variations'', he began to rely exclusively on newly recorded material. Dorsky worked using a Bolex camera, recording primarily on 16 mm Kodachrome 25 stock. Dorsky's compositions in ''Variations'' are influenced by Early Renaissance painting. He noted the era's early use of perspective before the development of vanishing points. For Dorsky, ''Variations'' marked a progression in his polyvalent editing style. He drew connections between shots based on elements like colors, patterns, or iconography. Dorsky sequenced the shots so that they could link back to earlier shots in the montage, beyond t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
