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 according to Newton's laws of classical mechanics ( A-B ), and according to the Schrödinger equation of 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.

Young was once quoted as saying, " Some may have thought it was essential to know how to curve a ball before anything else.

Some national bodies as the Deutsche Handball Bund ( DHB, " German Handball Federation ") allow substitution in junior teams only when in ball possession or during timeouts.

Some casinos automatically call the ball draw at preset timed intervals regardless of whether or not players are waiting to place a wager.

Some are able to clip onto the side of the keyboard and have buttons with the same functionality as mouse buttons .< ref >" tracker ball.

Some have a scroll wheel like most mice, but the most common type is a “ scroll ring ” which is spun around the ball.

Some of the best-known traditions, including carnival parades and masquerade ball masquerading, were first recorded in medieval Italy.

Asked later for his opinion of the stadium, he replied, " Some ball yard.

Some of their famous sound effects included a rapid bongo drum take used for when a character's feet were scrambling before taking off, a " KaBONG " sound produced on a guitar for when Quick Draw McGraw, in his Zorro-style " El Kabong " crime fighting guise, would smash a guitar over a villain's head, the sound of a car's brake drum combined with a bulb horn for when Fred Flintstone would drop his bowling ball onto his foot, an automobile's tires squealing with a " skipping " effect added for when someone would slide to a sudden stop, a bass-drum-and-cymbal combination called the " Boom Crash " for when someone would fall down or smack into an object, a xylophone being struck rapidly on the same note for a tip-toeing effect, and a violin being plucked with the tuning pegs being raised to simulate something like pulling out a cat's whisker.

Some days later at a masked ball Walen is found murdered, this time by a stab to the heart.

Some gazers use a " palm ball " of a few inches in diameter that is held in the hand ; others prefer a larger ball mounted on a stand.

Some stage magicians use a crystal ball as a prop and crystallomancy as a line of patter in the performance of mentalism effects.

Some players, particularly offensive linemen, have a reputation for taking advantage of the situation to do things to opponents that would otherwise draw penalties, since the officials ' attention is necessarily focused on the ball and away from the players trying to get to it.

Some approaches, like Delaunay triangulation, alpha shapes, and ball pivoting, build a network of triangles over the existing vertices of the point cloud, while other approaches convert the point cloud into a volumetric distance field and reconstruct the implicit surface so defined through a marching cubes algorithm.

Some of the more commonly used skills are Block ( for fighting ), Dodge ( for dodging out of an opponents tackle zone ), Sure Hands ( for picking up the ball ), Pass ( for throwing the ball ), and Catch ( for catching the ball ).

Some extremely young or physically challenged players may use both hands to swing the ball forward from in between their legs.

Some declared the curse broken during a game on August 31, 2004, when a foul ball hit by Manny Ramírez flew into Section 9, Box 95, Row AA and struck a boy's face, knocking two of his teeth out.

Some other house rules allow swatting the ball away if it bounces.

Some men playing " Raga " encircling within a group, the ball is passed from one to another and the man who kicked the ball highest is the winner.

Some medieval pattens were in two pieces, heel through to ball and ball to toes.

Some commercial bookbinders may refer to the cover and the inside of the book instead, but a few others, attached to their traditions, still use the terms " codex " and " case ".

Some traditionalists have embraced the labels " reactionary " and " counterrevolutionary ", defying the stigma that has attached to these terms since the Enlightenment.

Orthographic conventions treat clitics in different ways: Some are written as separate words, some are written as one word with their hosts, and some are attached to their hosts, but set off by punctuation ( a hyphen or an apostrophe, for example ).

Some have one or two filters attached to the face piece ; others have a large filter connected to the face piece by a hose.

Some horses, particularly stallions, may have a chain attached to the lead rope and placed over the nose or under the jaw to increase the control provided by a halter while being led.

Some people prefer injections because they are less expensive than pumps and do not require the wearing of a continually attached device.

Some Russian individualists anarchists " found the ultimate expression of their social alienation in violence and crime, others attached themselves to avant-garde literary and artistic circles, but the majority remained " philosophical " anarchists who conducted animated parlor discussions and elaborated their individualist theories in ponderous journals and books.

Some wall paintings are painted on large canvases, which are then attached to the wall ( e. g., with marouflage ).

Some, such as the Heckler & Koch VP70, will only fire single rounds unless the stock is attached, because there is a safety mechanism incorporated into the stock.

Some North American fans, already attached to particular spellings, took great umbrage at Schodt's renditions, forgetting that in the original Japanese most character and mecha names are written in katakana, and that there were, therefore, no " official spellings.

Some scuba sets incorporate attached extra stage cylinders, as bailout in case the main breathing gas supply is used up or malfunctions, or containing another gas mixture.

Some members of the committee may be performing a variety of current or past roles and could have a large number of ribbons attached to each other hanging from a badge.

Some sources give the name of William Wallace's father as Malcolm Wallace, however the seal attached to a letter sent to the Hanse city of Lübeck in 1297 appears to give his father's name as Alan.

* Some believe that male nuances are not attached to words in various passages ; therefore, translations like the TNIV could be more accurately communicate the meaning of the text.

Some other species, for example members of the genus Mansonia, lay their eggs in arrays, attached usually to the under-surfaces of waterlily pads.

Some Ottoman troops were in the country in support of the beys, but mainly the beys were using mercenaries, the Bashi-bazouks, private armies recruited from anywhere, loosely attached to the Ottoman military.

Some caterpillars have long " whip-like " organs attached to the ends of their body.

Some instruments that have strings have attached keyboards that the player uses instead of directly manipulating the strings.

Some rotifers are free swimming and truly planktonic, others move by inchworming along a substrate, and some are sessile, living inside tubes or gelatinous holdfasts that are attached to a substrate.

* Some plants have bracts that subtend the inflorescence, where the flowers are on branched stalks ; the bracts are not connected to the stalks holding the flowers, but are adnate or attached to the main stem ( Adnate describes the fusing together of different unrelated parts.

Some crowns also appear to have a semi-circular platform for additional ornaments attached to the lower front edge of the crown ( on two of the crowns of Menelik II these platforms each support a small gold statuette of St. George fighting the dragon ).

Some dishwashers, including many models from Whirlpool and Kitchenaid, use a tube attached to the top rack that connects to a water source at the back of the dishwasher which allows full use of the bottom rack.

Some sites require all stories to be rated and have warnings attached, often by using a beta reader.

Some yokes have additional controls attached directly to the yoke for simulation of aircraft functions such as radio push-to-talk buttons.

Some of this expenditure was supported by the demesne manor attached to the castle, which comprised of land and 5, 000 days of serf labour under feudal law.