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These harmonic notes were clustered in the high registers, so previous trumpet concertos could only play melodies at very high pitches.
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These and harmonic
These three-wave mixing processes correspond to the nonlinear effects known as second harmonic generation, sum frequency generation, difference frequency generation and optical rectification respectively.
These are precisely the relations obeyed by the ladder operators for an infinite set of independent quantum harmonic oscillators, one for each single-particle state.
These equations demonstrate that the simple harmonic motion is isochronous ( the period and frequency are independent of the amplitude and the initial phase of the motion ).
These pieces include: early compositions for piano solo in a conservative harmonic style, many of which are lost ; a string quartet ( opus 2 ); a cello sonata ; a piano quartet ; Violin Sonata in E flat ( 1888 ); as well as a handful of late pieces.
These can be clearly heard in Santana's use of extended improvised solos and in the harmonic voicings of Tom Coster's keyboard playing on some of the groups ' mid 1970s recordings.
These include the lack of implementation of harmonic tones that result when certain combinations of notes are sounded, limited polyphony, and a lack of natural reverberation when the instrument is played percussively.
These pieces are examples where Hummel may be seen to both challenge the classical harmonic structures and stretch the sonata form.
These traits included the assignment of the melody to the tenors, harmonic structure emphasizing fourths and fifth, and the distinction between the ordinary four-part hymn (" plain tune "), the anthem, and the fuging tune.
These are, however, important in connection with the study of semigroups that arise in partial differential equations, harmonic analysis, and probability theory.
These synthetic pitch collections may serve as the basic melodic and / or harmonic material for a passage of music.
These chaotic models create compositions from the harmonic and inharmonic phenomena of nature.
These locations offered " much to learn " in partial differential equations, with the exception of Chicago of which he however notes the Antoni Zygmund seminar held by Elias Stein and Guido Weiss to have strengthened his familiarity with harmonic analysis.
These spaces have wide applications, including complex analysis, harmonic analysis, quantum mechanics, statistics and machine learning.
" These interval cycles play a fundamental role in the harmonic organization of post-diatonic music and can easily be identified by naming the cycle.
These relations can be used to find the energy eigenstates of the quantum harmonic oscillator.
These amplifiers used a complex feed-forward servo system which resulted in very low 2nd order harmonic distortion.
These triplen currents sum in the neutral to three times the individual phase ( third harmonic ) currents.
These currents are caused by the harmonic currents.
These are like symphonic gongs but tuned to represent a natural harmonic series based on the orbital properties of the Sun, the Earth, the Moon and the other planets as calculated by Hans Cousto.
These missions led to the accurate determination of the leading spherical harmonic coefficients of the geopotential, the general shape of the geoid, and linked the world's geodetic datums.
These convergence theorems can often be used to prove existence of harmonic functions having particular properties.
These are amongst her most beautiful pieces, the soft melodic and harmonic undulations in Ave Maris Stella ( Star of the Sea ) suggesting as so often in her music the swelling of the ever present sea.
These solos would extend, and lend themselves to Gilbert Lopez's Tenor Saxophone innuendoes, forming huge, parallel, harmonic ideas, completely improvised, and helped break down the barriers of what could be done within a previously stale, formulatic ska medium.
These tanks are designed so that the harmonic frequency of the sloshing of the water in the tanks counteracts the harmonic frequency of the swaying of the building.
These and notes
These notes featured an image of King George V ( Bank of England notes did not begin to display an image of the monarch until 1960 ).
These calls may be a long rising and falling note ( a howl ) or a series of short notes ( yips ).
These notes are far apart for most of the instrument's range, making diatonic and chromatic playing impossible except in the extreme high register.
These have all twelve chromatic notes laid out on the same row.
These notes, the first modern local currency, were nearly twice as large as the current Ithaca HOURS.
These notes obtained by Henry Vane the Younger written in the King's Privy Council by the elder Vane, were then confirmed by independent testimony.
These studies were recorded in 13, 000 pages of notes and drawings, which fuse art and natural philosophy ( the forerunner of modern science ), made and maintained daily throughout Leonardo's life and travels, as he made continual observations of the world around him.
These sheets were often lengthy, with detailed notes about effects and moods to watch for.
These include Gentleman Jack, a nut-brown premium ale with a fruity hop aroma and bitter flavour notes.
These annotated versions contain notes following each section of the law, which organize and summarize court decisions, law review articles, and other authorities that pertain to the code section, and may also include uncodified provisions that are part of the Public Laws.
These strings resonate along with the played notes.
These notes are usually created using a predetermined pacenote format, from which a co-driver can optionally add comments or transpose into other pacenote notations.
These bank notes were not to be backed by just government bonds, but also just about any securities the banks were holding.
These notes, the book confirms, were sent to MI6.
These games featured both the show's title logo on the game's packaging and label and the first several notes of the theme song played on the title screen of the games.
These cases typically involving members of the aristocracy who had, as historian Richard Andrews notes, " rejected parental authority, disgraced the family reputation, manifested mental derangement, squandered capital or violated professional codes.
These notes are traditionally categorized into two main groups: the marginal Masorah and the final Masorah.
These first renminbi notes were printed with the words " People's Bank of China ", " Republic of China ", and the denomination, written in Chinese characters by Dong Biwu.
These notes can either be played with the hands or the feet.
These releases were re-mastered with bonus tracks and updated liner notes.
These notes have provided additional instructions to the tribe that holds it, such as deciding to avoid Tribal Council but requiring the tribe to move to a less desirable beach, or to vote off a second player immediately after voting off a first player at Tribal Council.
These notes are created carefully with knowledge of the evaporation process of the perfume.
These often contain notes like vanilla, tonka bean and coumarin, as well as synthetic components designed to resemble food flavors.
These demands tend to be made by more modern composers who sometimes require more than two notes at once.
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