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Anna Robena Laidlaw. Robert Schumann's Fantasiestücke, Op. 12, is a set of eight pieces for piano, written in 1837.The title was inspired by the 1814–15 collection of novellas, essays, treatises, letters, and writings about music, Fantasiestücke in Callots Manier (which also included the complete Kreisleriana, another source of inspiration for Schumann) by one of his favourite authors, E ...
In music, Op. 12 stands for Opus number 12. Compositions that are assigned this number include: Compositions that are assigned this number include: Adès – Arcadiana
The opening of Étude Op. 8, No. 12 features large jumps in left hand part. Étude in D-sharp minor, Op. 8, No. 12, is an étude for piano composed by Alexander Scriabin in 1894. [1] Its technical challenges include numerous jumps in the left hand, repetitive chord strikes, and abundant octaves. It was a favorite encore of Vladimir Horowitz. [2]
The Piano Sonata No. 19 in G minor, Op. 49, No. 1, and Piano Sonata No. 20 in G major, Op. 49, No. 2, are short sonatas by Ludwig van Beethoven, published in 1805 (although the works were actually composed a decade earlier in early to mid 1797 [1]). Both works are approximately eight minutes in length, and are split into two movements.
Kinderszenen [a] (German pronunciation: [ˈkɪndɐˌst͡seːnən], "Scenes from Childhood"), Op. 15, by Robert Schumann, is a set of thirteen pieces of music for piano written in 1838. History and description
As a second-order differential operator, the Laplace operator maps C k functions to C k−2 functions for k ≥ 2.It is a linear operator Δ : C k (R n) → C k−2 (R n), or more generally, an operator Δ : C k (Ω) → C k−2 (Ω) for any open set Ω ⊆ R n.