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aperiodicity

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  • Mozart String Quartet 15 (1/5) in Re Mineur Quatuor Mosaiques period instruments Wolfgang Amadeus Mozart's String Quartet No. 15 in D minor K. 421/417b, the second of the Quartets dedicated to Haydn and the only one of the set in a minor key, is believed to have been completed in 1783.[1] The quartet is, however, undated in the autograph.[2] It is in four movements: 1. Allegro moderato 2. Andante (F major) 3. Menuetto and Trio (the latter in D major). Allegretto 4. Allegretto ma non troppo The first movement is characterized by a sharp contrast between the aperiodicity of the first subject group, characterized by Arnold Schoenberg as "prose-like," and the "wholly periodic" second subject group.[3] In the Andante and the Minuet, "normal expectations of phraseology are confounded."[4] The main part of the Minuet is in minuet sonata form,[5] while "the contrasting major-mode Trio ... is ... almost embarrassingly lightweight on its own ... [but] makes a wonderful foil to the darker character of the Minuet."[6] The trio's melody, however, is used in the Suzuki method for violin, Volume 7. The last movement is a set of variations.
  • Mozart string quartet 15 in d minor k 421 (mov 3/4) Quarteto Italiano Wolfgang Amadeus Mozart's String Quartet No. 15 in D minor K. 421, the second of the Quartets dedicated to Haydn and the only one of the set in a minor key, is believed to have been completed in 1783[1] It is in four movements: 1. Allegro moderato 2. Andante (F major) 3. Menuetto and Trio (the latter in D major). Allegretto 4. Allegretto ma non troppo The first movement is characterized by a sharp contrast between the aperiodicity of the first subject group, characterized by Arnold Schoenberg as "prose-like," and the "wholly periodic" second subject group.[2] In the Andante and the Minuet, "normal expectations of phraseology are confounded."[3] The main part of the Minuet is in minuet sonata form,[4] while "the contrasting major-mode Trio ... is ... almost embarrassingly lightweight on its own ... [but] makes a wonderful foil to the darker character of the Minuet."[5] The trio's melody, however, is used in the Suzuki method for violin, Volume 7. The last movement is a set of variations.
  • (ML 18.3) Stationary distributions, Irreducibility, and Aperiodicity Definitions of the properties of Markov chains used in the Ergodic Theorem: time-homogeneous MC, stationary distribution of a MC, irreducible MC, aperiodic MC.
  • Druid Circles Promo Riffs
  • Mozart String Quartet 15 (4/5) in Re Mineur Quatuor Mosaiques period instruments Wolfgang Amadeus Mozart's String Quartet No. 15 in D minor K. 421/417b, the second of the Quartets dedicated to Haydn and the only one of the set in a minor key, is believed to have been completed in 1783.[1] The quartet is, however, undated in the autograph.[2] It is in four movements: 1. Allegro moderato 2. Andante (F major) 3. Menuetto and Trio (the latter in D major). Allegretto 4. Allegretto ma non troppo The first movement is characterized by a sharp contrast between the aperiodicity of the first subject group, characterized by Arnold Schoenberg as "prose-like," and the "wholly periodic" second subject group.[3] In the Andante and the Minuet, "normal expectations of phraseology are confounded."[4] The main part of the Minuet is in minuet sonata form,[5] while "the contrasting major-mode Trio ... is ... almost embarrassingly lightweight on its own ... [but] makes a wonderful foil to the darker character of the Minuet."[6] The trio's melody, however, is used in the Suzuki method for violin, Volume 7. The last movement is a set of variations.
  • Animated Penrose Tiling - preliminary version The new version can be found at An animation of the celebrated Penrose non periodic tiling made with Povray, realized at the Department of Mathematics and Physics, Catholic University, Brescia (Italy). By Maurizio Paolini and Alessandro Musesti.
  • Quasi-localized modes in Deterministic Aperiodic Nano Structures_Boriskina_SPIE2009 Quasi-localized modes in Deterministic Aperiodic Nano Structures Invited talk presented by Svetlana V. Boriskina at 2009 SPIE Photonics West Conference This video file & the corresponding .pdf & .pps files are available here: www.bio- www.bio- www.bio- References: L. Dal Negro and SV Boriskina, "Deterministic Aperiodic Nanostructures for Photonics and Plasmonics Applications," Laser & Photon. Reviews, vol. 6, no. 2, pp. 178-218, 2012 [REVIEW]. H. Noh, J.-K. Yang , SV Boriskina, MJ Rooks, GG Solomon, L. Dal Negro and H. Cao, "Lasing in Thue-Morse Structures with Optimized Aperiodicity," Appl. Phys. Lett., vol. 98, 201109, 2011. SY Lee, JJ Amsden, SV Boriskina, A. Gopinath, A. Mitropolous, DL Kaplan, FG Omenetto, L. Dal Negro, "Spatial and Spectral Detection of Protein Monolayers with Deterministic Aperiodic Arrays of Metal Nanoparticles," Proc. Natl. Acad. Sci. USA, vol. 107, no. 27, pp. 12086-12090, 2010. SV Boriskina, SYK Lee, JJ Amsden, FG Omenetto, and L. Dal Negro, "Formation of Colorimetric Fingerprints on Nano-Patterned Deterministic Aperiodic Surfaces" Opt. Express, vol. 18, no. 14, pp.14568-14576, 2010. J.-K. Yang, SV Boriskina, H. Noh, MJ Rooks, G. Solomon, L. Dal Negro and H. Cao, "Demonstration of Laser Action in Pseudo-Random Medium," (COVER PAPER) Appl. Phys. Lett. 97, 223101 (2010). SV Boriskina, A.Gopinath, and L. Dal Negro, "Optical Gap Formation and Localization Properties of Optical Modes in Deterministic Aperiodic Photonic ...
  • Bowed string in slow motion Helmholtz motion of a bowed string shot with high FPS camera. The stick-slip action between the bow hair and the string is clearly visible.
  • Mozart string quartet 15 in d minor k 421 (mov 2/4) Quarteto Italiano Wolfgang Amadeus Mozart's String Quartet No. 15 in D minor K. 421, the second of the Quartets dedicated to Haydn and the only one of the set in a minor key, is believed to have been completed in 1783[1] It is in four movements: 1. Allegro moderato 2. Andante (F major) 3. Menuetto and Trio (the latter in D major). Allegretto 4. Allegretto ma non troppo The first movement is characterized by a sharp contrast between the aperiodicity of the first subject group, characterized by Arnold Schoenberg as "prose-like," and the "wholly periodic" second subject group.[2] In the Andante and the Minuet, "normal expectations of phraseology are confounded."[3] The main part of the Minuet is in minuet sonata form,[4] while "the contrasting major-mode Trio ... is ... almost embarrassingly lightweight on its own ... [but] makes a wonderful foil to the darker character of the Minuet."[5] The trio's melody, however, is used in the Suzuki method for violin, Volume 7. The last movement is a set of variations.
  • Animated Penrose Tiling (part 2) See also the first part: This is the second (and last) part of an animation of the celebrated Penrose non periodic tiling made with Povray, created at the Department of Mathematics and Physics, Catholic University, Brescia (Italy). By Maurizio Paolini and Alessandro Musesti.
  • Mozart string quartet 15 in d minor k 421 (mov 1/4) Quarteto Italiano Wolfgang Amadeus Mozart's String Quartet No. 15 in D minor K. 421, the second of the Quartets dedicated to Haydn and the only one of the set in a minor key, is believed to have been completed in 1783[1] It is in four movements: 1. Allegro moderato 2. Andante (F major) 3. Menuetto and Trio (the latter in D major). Allegretto 4. Allegretto ma non troppo The first movement is characterized by a sharp contrast between the aperiodicity of the first subject group, characterized by Arnold Schoenberg as "prose-like," and the "wholly periodic" second subject group.[2] In the Andante and the Minuet, "normal expectations of phraseology are confounded."[3] The main part of the Minuet is in minuet sonata form,[4] while "the contrasting major-mode Trio ... is ... almost embarrassingly lightweight on its own ... [but] makes a wonderful foil to the darker character of the Minuet."[5] The trio's melody, however, is used in the Suzuki method for violin, Volume 7. The last movement is a set of variations.
  • Mozart String Quartet 15 (3/5) in Re Mineur Quatuor Mosaiques period instruments Wolfgang Amadeus Mozart's String Quartet No. 15 in D minor K. 421/417b, the second of the Quartets dedicated to Haydn and the only one of the set in a minor key, is believed to have been completed in 1783.[1] The quartet is, however, undated in the autograph.[2] It is in four movements: 1. Allegro moderato 2. Andante (F major) 3. Menuetto and Trio (the latter in D major). Allegretto 4. Allegretto ma non troppo The first movement is characterized by a sharp contrast between the aperiodicity of the first subject group, characterized by Arnold Schoenberg as "prose-like," and the "wholly periodic" second subject group.[3] In the Andante and the Minuet, "normal expectations of phraseology are confounded."[4] The main part of the Minuet is in minuet sonata form,[5] while "the contrasting major-mode Trio ... is ... almost embarrassingly lightweight on its own ... [but] makes a wonderful foil to the darker character of the Minuet."[6] The trio's melody, however, is used in the Suzuki method for violin, Volume 7. The last movement is a set of variations.
  • (ML 18.5) Examples of Markov chains with various properties (part 2) More examples of (discrete) Markov chains, to illustrate the concepts of irreducibility, aperiodicity, and stationary distributions.
  • Mozart String Quartet 15 (5/5) in Re Mineur Quatuor Mosaiques period instruments Wolfgang Amadeus Mozart's String Quartet No. 15 in D minor K. 421/417b, the second of the Quartets dedicated to Haydn and the only one of the set in a minor key, is believed to have been completed in 1783.[1] The quartet is, however, undated in the autograph.[2] It is in four movements: 1. Allegro moderato 2. Andante (F major) 3. Menuetto and Trio (the latter in D major). Allegretto 4. Allegretto ma non troppo The first movement is characterized by a sharp contrast between the aperiodicity of the first subject group, characterized by Arnold Schoenberg as "prose-like," and the "wholly periodic" second subject group.[3] In the Andante and the Minuet, "normal expectations of phraseology are confounded."[4] The main part of the Minuet is in minuet sonata form,[5] while "the contrasting major-mode Trio ... is ... almost embarrassingly lightweight on its own ... [but] makes a wonderful foil to the darker character of the Minuet."[6] The trio's melody, however, is used in the Suzuki method for violin, Volume 7. The last movement is a set of variations.
  • Aperiodicity 2
  • Mining the Space of Rewrite Systems Parallel rewrite systems (also known as Lindenmayer systems) have many applications. They are used in biology, to model the development of plants, and used in art, to generate music and architectural designs. One thing that makes these systems so useful is their complexity. Many parallel rewrite systems can produce highly complex patterns from simple rules. This complexity can make rewrite systems difficult to study mathematically. A dierent approach, pioneered by Wolfram, is to use computer searches to reveal simple systems with interesting properties. We use this approach to study a class of systems we call `non-overlapping substitution systems' within which a string is repeatedly updated by applying rewrite rules in a non-overlapping way. In this paper exhibit several simple examples of these systems that produce complex behavior. We prove the aperiodicity of one system and prove the computationally universality of another. We also describe many novel applications of non-overlapping substitution systems including data encryption, compression and the evaluation of numerical functions.
  • (ML 18.4) Examples of Markov chains with various properties (part 1) A very simple example of a Markov chain with two states, to illustrate the concepts of irreducibility, aperiodicity, and stationary distributions.
  • Mozart - String Quartet No. 15 in D minor, K. 421 / K. 417b [complete] Wolfgang Amadeus Mozart's String Quartet No. 15 in D minor K. 421/417b, the second of the Quartets dedicated to Haydn and the only one of the set in a minor key, is believed to have been completed in 1783. The quartet is, however, undated in the autograph. It is in four movements: 1. Allegro moderato 2. Andante (F major) 3. Menuetto and Trio (the latter in D major). Allegretto 4. Allegretto ma non troppo The first movement is characterized by a sharp contrast between the aperiodicity of the first subject group, characterized by Arnold Schoenberg as "prose-like," and the "wholly periodic" second subject group. In the Andante and the Minuet, "normal expectations of phraseology are confounded." The main part of the Minuet is in minuet sonata form, while "the contrasting major-mode Trio ... is ... almost embarrassingly lightweight on its own ... [but] makes a wonderful foil to the darker character of the Minuet." The last movement is a set of variations. ----------------------------------------------------------------------------- FREE .mp3 and .wav files of all Mozart's music at: www.mozart- FREE sheet music scores of any Mozart piece at: dme.mozarteum.at ALSO check out these cool sites: and ------------------------------------------------------------------------- NOTE: I do not know who the performers of this are, nor the place and date of recording!!! Any suggestions are welcome ...
  • Mozart string quartet 15 in d minor k 421 (mov 4/4) Quarteto Italiano Wolfgang Amadeus Mozart's String Quartet No. 15 in D minor K. 421, the second of the Quartets dedicated to Haydn and the only one of the set in a minor key, is believed to have been completed in 1783[1] It is in four movements: 1. Allegro moderato 2. Andante (F major) 3. Menuetto and Trio (the latter in D major). Allegretto 4. Allegretto ma non troppo The first movement is characterized by a sharp contrast between the aperiodicity of the first subject group, characterized by Arnold Schoenberg as "prose-like," and the "wholly periodic" second subject group.[2] In the Andante and the Minuet, "normal expectations of phraseology are confounded."[3] The main part of the Minuet is in minuet sonata form,[4] while "the contrasting major-mode Trio ... is ... almost embarrassingly lightweight on its own ... [but] makes a wonderful foil to the darker character of the Minuet."[5] The trio's melody, however, is used in the Suzuki method for violin, Volume 7. The last movement is a set of variations.