Some trajectories may be periodic, whereas others may wander through many different states of the system.

Some trajectories of a particle in a box according to Newton's laws of classical mechanics ( A ), and according to the Schrödinger equation of quantum mechanics ( B-F ).

Some trajectories of a harmonic oscillator ( a ball attached to a Hooke's law | spring ) in classical mechanics ( A-B ) and quantum mechanics ( C-H ).

Some trajectories of w ( t ; s ) are shown in the second figure.

Some, such as the composer André Campra, were stunned by its originality and wealth of invention ; others found its harmonic innovations discordant and saw the work as an attack on the French musical tradition.

Some remixes involve substantial changes to the arrangement of a recorded work, but many are harmonic, such as creating a " vocal up " version of a song that emphasizes the lead singer's voice.

Some functions of the two systems are also naturally exclusive to either one or the other, such as the ability for more transparent filtering algorithms in digital systems and the harmonic saturation of analog systems.

* Some organs use the 19th harmonic to approximate a minor third.

Some integrals of generalized harmonic are:

Some derivatives of fractional harmonic numbers are given by:

Some advanced techniques ( involving high harmonic generation with amplified femtosecond laser pulses ) can be used to produce optical features with durations as short as 100 attoseconds in the extreme ultraviolet spectral region ( i. e. < 30 nm ).

Some argue further that they are not dissonances, but consonances higher up the harmonic series and thus more complex.

Some sections of the piece have a chiastic ABCDCBA structure, and Reich noted that this one work contained more harmonic movement in the first five minutes than any other work he had previously written.

Some modern recorder makers now produce curved labium lip voicings to add harmonic tone color.

Some, such as the Suite hébraïque ( 1950 ) continue the Jewish theme ; others, such as the second concerto grosso ( 1952 ), display an interest in neo-classicism ( though here too the harmonic language is basically Romantic, even though the form is Baroque ); and others, including the late string quartets, include elements of atonality.

Some examples of harmonic oscillators are crystal oscillators and LC-tank oscillators.

As a composer, I try always to make beautiful things, and I use whatever techniques and materials are useful for the particular composition at hand Some of those materials are atonal or nontonal, but the overall harmonic context of my music derives from the tonal tradition, which after all is the lingua franca of Western music — essentially, Monteverdi to the Beatles and beyond.

Some of the reactive power requirement can be supplied in the harmonic filter components.

Some of the problems which individual countries face are the way they are grouped together by their economic strengths according to LAFTA.

Some of its powers may, according to its articles, be exercised by directors, certain other powers may be reserved for the shareholders in general meeting.

Some varieties, such as Shou Mian ( 寿面, literally noodles of longevity ), are symbolic of long life and good health according to Chinese tradition.

Some evidence indicates that during armoured combat the intention was to actually get around the armour rather than through it — according to a study of skeletons found in Visby, Sweden, a majority of the skeletons showed wounds on less well protected legs.

Some states permit plaintiff's counsel to settle for all the mass action plaintiffs according to a majority vote, for example.

Some economists also contend that now, according to Gresham's Law, a reversion to the colón would be disastrous to the economy.

Some forms of Buddhism hold belief in cycles in which life span of human beings changes according to human nature.

Some ancient scholars attributed ninety-five plays to him but according to the Suda it was ninety-two at most.

Some short-range naval guns use cased ammunition, but many battleship and cruiser main guns use a shell and separate bagged powder measures, which are selected according to the desired ballistic path.

Some of the gunpowder recipes of De Mirabilibus Mundi of Albertus Magnus are identical to the recipes of the Liber Ignium, and according to Partington, " may have been taken from that work, rather than conversely.

Some web-servers and bioinformatics prediction methods have been used for predicting the classification of GPCRs according to their amino acid sequence alone, by means of the pseudo amino acid composition approach.

Some scholars have observed that revenge tragedies come from traditionally Catholic countries, such as Spain and Italy ; and they present a contradiction, since according to Catholic doctrine the strongest duty is to God and family.

Some of those who argue that the Homeric poems developed gradually over a long period of time give an even later date for the composition of the poems ; according to Gregory Nagy for example, they only became fixed texts in the 6th century BC.

Some 1, 200 Jewish residents and refugees from other Balkan countries were hidden by Albanian families during World War II, according to official records.

Some laws and teachings of the Kitáb-i-Aqdas are, according to Bahá ' í teaching, not meant to be applied at the present time ; their application depends on decisions by the Universal House of Justice.

Some claim that his confession was made to avoid the death penalty, but, according to at least one of his interrogators, he mistakenly believed that he would be allowed back to work at Harwell.

Some proponents of this view of language have advocated a formal approach which studies language structure by identifying its basic elements and then formulating a formal account of the rules according to which the elements combine to form words and sentences.

Some of the philosophers are portrayed according to their works.

Some, including Sheldon Glashow, speculate that Witten chose the letter because it resembles an inverted W. According to Witten, " M can stand variously for ' magic ', ' mystery ', or ' matrix ', according to one's taste.

Some of Milken's children also got warrants, according to Stewart, raising the appearance of Milken self-dealing.

Some ideologies, notably Christian Democracy, claim to combine left and right wing politics ; according to Geoffrey K. Roberts and Patricia Hogwood, " In terms of ideology, Christian Democracy has incorporated many of the views held by liberals, conservatives and socialists within a wider framework of moral and Christian principles.

Some nations with proportional elections, like Israel and the Netherlands, have one electoral district only: the entire nation, and the entire pie is cut up according to the entire outcome.

Some aspects of the instruction set are unique, most notably the " byte " instructions, which operated on bit fields of any size from 1 to 36 bits inclusive according to the general definition of a byte as a contiguous sequence of a fixed number of bits.