103 Sentences With "trace out" | Random Sentence Generator

So you may trace out the region that is affected by this particle just by those measurements.

ASML is the dominant maker of lithography systems, used to trace out the circuitry of semiconductor chips.

LOSSES ASML is the dominant maker of lithography systems, used to trace out the circuitry of semiconductor chips.

When this occurs, it takes around 26,000 years for the axis to trace out a complete cone shape.

Now, to trace out the motion in this star-planet system, I'm going to use a stepwise numerical method.

They found that over time, the point would trace out a butterfly-shaped fractal structure now called the Lorenz attractor.

ASML, whose customers also include Intel, makes lithography machines, a key part of the chip making process that helps trace out circuits.

He rarely plays in full chords, preferring to trace out little houndstooth patters or to use curt, two- and three-note harmonies.

The sun orbits the center of the Milky Way galaxy, and the planets orbit the sun, which means that they trace out helical paths.

SOMEONE TOOK THE TIME TO TRACE OUT THE DISNEY STARS' WAND IN THE AWKWARD COMMERICAL OUTTAKES I'M WHEEZING THE LIFE OUT OF MY WHOLE BEING pic.twitter.

This differs significantly from traditional 53D-printing methods like those employed my MakerBot, which essentially draws in melted ABS or PLA, working slowly to trace out each layer.

If you have many stars orbiting in an ordered fashion in the same plane, their paths will trace out a thin disk, like the disks found in spiral galaxies.

The sheer volume of observations enabled Poggio and her colleagues to measure the motions of millions of giant stars to trace out the kinematic signature of the galaxy's warp.

"If monetary policy successfully offsets all other shocks, the data only show the response to the cost shocks, which trace out the wrong slope," she added in her presentation.

Any time you have significant populations of stars that trace out orbits in a different plane those random motions will start to create rounder, more spherical shapes in three dimensions.

Another, perhaps clearer way to explain this is if you looked head on at a beam of light, the light waves would trace out a fuzzy circle as they travel transversely.

In case you didn't know, Earth's axis goes through a motion called "precession" which means that the planet's axis will change, and trace out the shape of a cone—even if it's slightly.

You do that by using your finger to trace out a (cartoonishly) bloody path of carnage, with different rules like gems and angry monsters forcing you to tweak your strategy as you play.

Many companies including Tesla told CNN at the time that they were unable to fully trace out their supply chains due to what they described as the complex nature of sourcing the precious metal.

"If you look at the map of Gurgaon in the 1970s and trace out the rivulets... it's like a web," says M.D. Sinha, a senior official at the city's metropolitan development authority, the GMDA.

The additional offset detector will allow researchers to measure the polarization—simply, the path the wave's vibrations trace out as it travels—which helps determine how far away the source was, along with other information.

If supply (and only supply) moved randomly, the resulting dots would trace out the demand curve: they would show how much demand expands and contracts when prices fall and rise, thanks to variations in supply.

ASML, which has a near-monopoly on "lithography systems" used to trace out the circuitry of cutting edge chips, earlier on Wednesday said some customers were pushing orders back amid weakness in the memory chip market.

"Traditional extrusion-based 3D printers use a single head to trace out the entire volume of the object that's being printed," Andreas Bastian, a 3D-printing research scientist on the Project Escher team, tells Hyperallergic in an email.

And from time to time, I take it out, look at it, press my fingers in the holes, trace out the blotchy stains and wonder what's to be done with it, that bundle of clothes that despite all the memories is nothing more than an old, bloody and tattered rag.

Starting from a certain height y12.53 and an initial velocity v0, we can write the relation between vertical position (y) and time (t) using this famous kinematics equation: Since this depends on both time and time squared, it's a quadratic equation; if we graphed it, it would trace out a parabola.

Softness is built into the heart of fabrics, and suppleness grows protective. A warm vaporousness and ethereality trace out poetic conquests.

Astroid The hypocycloid construction of the astroid. Astroid x^{2/3}+y^{2/3}=r^{2/3} as the common envelope of a family ellipses of equation (x/a)^2+(y/b)^2=r^2, where a + b = 1. The envelope of a ladder (coloured lines in the top-right quadrant) sliding down a vertical wall, and its reflections (other quadrants) is an astroid. The midpoints trace out a circle while other points trace out ellipses similar to the previous figure.

The locus of centres of mass trace out a curve in 3-space. The limiting tangent line to this locus as one tends to the original surface point is the affine normal line, i.e. the line containing the affine normal vector.

In other cases, the hour-lines are not spaced evenly, even though the shadow rotates uniformly. If the gnomon is not aligned with the celestial poles, even its shadow will not rotate uniformly, and the hour lines must be corrected accordingly. The rays of light that graze the tip of a gnomon, or which pass through a small hole, or reflect from a small mirror, trace out a cone aligned with the celestial poles. The corresponding light-spot or shadow-tip, if it falls onto a flat surface, will trace out a conic section, such as a hyperbola, ellipse or (at the North or South Poles) a circle.

In the meanwhile, Raju's widowed mother sends Loknath and Mohan to search the whereabouts of Raju. Loknath meets Rai Bahadur, who happens to be his old friend, but can't trace out Raju. Lokanath pursues Rai Bahadur a proposal of Mohan's marriage with Usha. Rai Bahadur agrees.

The unfortunate murder of a non-formal teacher named Itishree Pradhan in the remote village of Tikiri under Kashipur Block in the Rayagada district generated nationwide uproar and consternation.This is one of the rare cases where CBI has not been able to trace out the main accused.

They trace out the complex biological–environmental interaction for the development of avoidant and borderline personality disorders. They focus on Reinforcement sensitivity theory, which states that some individuals are more or less sensitive to reinforcement than others. Nelson-Grey views problematic response classes as being maintained by reinforcing consequences or through rule governance.

The chain of six spheres can be rotated about the central sphere without affecting their tangencies, showing that there is an infinite family of solutions for this case. As they are rotated, the spheres of the hexlet trace out a torus (a doughnut-shaped surface); in other words, a torus is the envelope of this family of hexlets.

However he is ignored there which infuriates him. The doctors confirm that she has been infected by E. colis renegade strain O157:H7 which is resistant to most antibiotics. Becky's condition begin to deteriorate rapidly. Feeling helpless at his inability to save his daughter's life, Kim makes it his mission to trace out how she contracted the disease.

Harish was shocked to hear this and tries to find his own ways to trace out his love. Soumiya gains consciousness and was confused to see her parents in the village. Yeman's mother then fixes Yeman and Soumiya's marriage, which makes the later surprised as her parents approve of it. Soumiya's father than reveals the flashback.

This technology promises creation of viscosity map inside cells and the extracellular milieu. Such nanomotors have been demonstrated to move in blood. Recently, researchers have managed to controllably move such nanomotors inside cancer cells allowing them to trace out patterns inside a cell. Nanomotors moving through the tumor microenvironment have demonstrated the presence of sialic acid in the cancer-secreted extracellular matrix.

The loriciferans are believed to be miniaturized descendants of a larger organism perhaps resembling the Cambrian fossil Sirilorica. However, the fossil record of the microscopic non-mineralized group is (perhaps unsurprisingly) scarce, so it is difficult to trace out the phylum's evolutionary history in any detail. The 2017 discovery of Cambrian Period Eolorica deadwoodensis may shed some light on the group's history.

A time, during which he also worked as a film critic. He made his debut as a television director in 1974. Haneke's feature film debut was 1989's The Seventh Continent, which served to trace out the violent and bold style that would bloom in later years. Three years later, the controversial Benny's Video put Haneke's name on the map.

This turns the vehicle towards the inside of the curve. If the steering angle is not changed (i.e. the steering wheel stays in the same position), then the front wheels will trace out a smaller and smaller circle while the rear wheels continue to swing around the front of the car. This is what is happening when a car 'spins out'.

The black hat on the chair seems to have been a late addition. There are visible passages of underdrawing where the artist seems to trace out shapes and positions, established in the preparatory sketches, onto the grounded canvas. These include squared lines around the left shoulder and chest areas. There are lines mapping out the throat and top edge of the bodice.

Munkácsy is a crater on Mercury. Munkácsy originally had a double-ring basin structure, but most of the inner ring was buried when the basin was flooded with volcanic lava. Only a few remnants of the ring poke up through the lava, although low ridges in the lava seem to trace out much of the rest of the ring’s circumference.

The title characters are a team of girls who become the magical Pretty Cure. They derive their powers by collecting pins known as Glitter Charms which they place in a smartphone-like device called the Magical Lovely Pad. When transforming into their magical form, they shout and trace out the letters L-O-V-E on their devices. Charms can be added to enhance their powers.

Also Mahesh is killed in this process. Kamat now tries to trace out Rajinikanth even in Mahesh's funeral and finally he reaches Rajinikanth's house where he is revealed that he is Rajnikanth Muralidharan IPS, who attains his posting in the same Kolhapur, where Leela's parents were killed. Finally he assassinates Kamat and goes on a trip to Kanyakumari again with Leela with a beautiful proposal.

Later, John meets Ruthie outside a gas station, where he buys her some beer and Jack Daniel's whiskey, and a can of whipped cream. Then, they drive out to Devil's Crest lake bed far out of town. She describes how RVs and people "disappear without a trace" out there. The two then get drunk, mostly on a mixture of Jack Daniel's and whipped cream.

At this point Mano's friend Aruchamy (Vivek) comes to help him in his dilemma. Aruchamy is a suspended police office and appoints Manickam to be his lorry cleaner. This way he and Mano trace out where Divya is held. Mano, realizing that it is Manickam who has been foiling his attempts to rescue Divya, goes to the place where she is kept hidden along with the police.

Enduring beliefs assimilate into personal value system. The myth unravels: as part of his efforts to trace out the ‘Pandavas’ in exile, Duryodhanan traversed the forests in the Malanada hill. By that time he was much tired and went to a nearby house on the north west of Malanada and asked for drinking water. It was Kaduthamsserry Kottaram, where Malanada Appoppan, the priest and ruler of the land was staying.

London: Engraved and published for J. Johnson, 1769; A Description of a New Chart of History. London: Printed for J. Johnson, 1770. These charts and their accompanying Descriptions would allow students, Priestley said, to "trace out distinctly the dependence of events to distribute them into such periods and divisions as shall lay the whole claim of past transactions in a just and orderly manner."Qtd. in Sheps, 141-2.

Traces of > another ancient British village are to the N. "The site of these villages," > says Sir R.Hoare, "is decidedly marked by great cavities and a black soil; > and the attentive eye may easily trace out the lines of houses and the > streets, or rather the hollow ways, conducting to them. Numerous tumuli and > barrows are in the neighbourhood." The living is a p. curacy, annexed to the > p.

This reduces the required strength of the tether, and makes coupling easier. The rotation of the tether can be made to exactly match the orbital speed (around 7–8 km/s). In this configuration, the hook would trace out a path similar to a cardioid. From the point of view of the ground, the hook would appear to descend almost vertically, come to a halt, and then ascend again.

A good example of where laser engraving technology has been adopted into the industry norm is the production line. In this particular setup, the laser beam is directed towards a rotating or vibrating mirror. The mirror moves in a manner which may trace out numbers and letters onto the surface being marked. This is particularly useful for printing dates, expiry codes, and lot numbering of products travelling along a production line.

In October 1683 the Earl of Sunderland by the king's commands gave Preston directions to let the ministers in France know 'what a very ill man Dr. Burnet was.' Preston obeyed these orders, but declined to receive a visit from Burnet. He was ordered to endeavour to trace out Bomeny, the valet to the Arthur Capell, 1st Earl of Essex, who was suspected of being privy to that nobleman's death in the Tower of London.

During the year 2006-2007 about 200 cases were referred to CIA for investigation. Out of which 126 cases have been traced out. They worked out 11 cases of kidnapping and 09 miscellaneous cases. The wing has developed over the years specialized skills to trace out the gangs and criminals behind the heinous crimes as they incessantly keep on diligently working and tracing out the links of criminal gangs with various types of crimes.

A whiffenpoof was a tool for training Boy Scouts in tracking skills. The whiffenpoof itself was a small log, about the size of a stick of firewood, with nails driven into it on all sides, so that it bristled with nails. This was dragged through the forest on a short leash, by the older Scouts who were training the younger. It might thus create a track that the tenderfoot must learn to trace out.

Akash believes that on looking at the face of the corpse, one would be able to trace out the mentality of that person at the time of death; and so he desperately searches for the corpse of Maya. However he could not succeed. Akash cannot accept Maya's passing away and believes strongly that she did not die. Akash himself has paranormal experiences where he feels that Maya's soul is trying to communicate with him.

The intersection of Waterford and Bennington As the largest city in McHenry County, Crystal Lake contains three high schools and has many separate neighborhoods. Starting from the north of the city, the ten largest neighborhoods are easy to trace out. The first has no de facto name like the others, but is referred to as "by Prairie Ridge," referring to the nearby high school of the same name. Houses in this neighborhood are large and widely spaced.

Zanjhar is unhappy with this and they trace out Daadu's whereabouts and kill him. They follow Raja, and while he gets shot, a visitor Dayal Verma saves Raja and is admitted to hospital. ACP Amritlal Bakshi visits Raja in the hospital and assures him of a safe residence if he assists police in trapping Zanjhar. Dayal Verma secretly reveals to ACP that he is the biological father of Raja and he had abandoned them long ago owing to a misunderstanding.

While he was contemplating this scenery, he supposedly saw a group of angels descend from heaven and trace out the city. Convinced he had seen a divine vision, he celebrated Mass, and took some of the brothers out in search of the place. Five leagues from the monastery he declared they had found the place shown in the dream. This legend is the source of Puebla's original name, Puebla de los Ángeles, and its current nickname Angelópolis (literally, City of Angels).

Apsidal precession—the orbit rotates gradually over time. The orbits of planets around the Sun do not really follow an identical ellipse each time, but actually trace out a flower-petal shape because the major axis of each planet's elliptical orbit also precesses within its orbital plane, partly in response to perturbations in the form of the changing gravitational forces exerted by other planets. This is called perihelion precession or apsidal precession. In the adjunct image, Earth's apsidal precession is illustrated.

Eventually the gold coin is found by Shibu's aunt and uncle. They become extra sweet to him and very cleverly trace out the origin of the gold coin to the White Elephant by following Shibu when he returns to the forest to meet Airawat. Meanwhile a Maharaja comes to the village for hunting. He strikes his tent near the forest and Sibu’s uncle and aunt tell the Maharaja about the existence of the White Elephant, which is very rare to spot.

Refer to these two images in the plane wave article to better appreciate this. This light is considered to be right-hand, clockwise circularly polarized if viewed by the receiver. Since this is an electromagnetic wave each electric field vector has a corresponding, but not illustrated, magnetic field vector that is at a right angle to the electric field vector and proportional in magnitude to it. As a result, the magnetic field vectors would trace out a second helix if displayed.

This caused the signal to trace out a pattern on the display that could be used to determine the direction of the transmission almost instantly. In the UK, the high-frequency direction finding (HFDF or “huff-duff”) system largely had displaced BTDF by about 1943. HFDF used balanced amplifiers that fed directly into a CRT to instantly display the direction directly from the incoming signal, requiring no mechanical movement of any sort. This allowed even the most fleeting signals to be captured and located.

The Moon's rotational axis precesses so as to trace out a cone that intersects the ecliptic plane as a circle. # A plane formed from a normal to the ecliptic plane and a normal to the Moon's orbital plane will contain the Moon's rotational axis. In the case of the Moon, its rotational axis always points some 1.5 degrees away from the North ecliptic pole. The normal to the Moon's orbital plane and its rotational vector are always on opposite sides of the ecliptic plane.

If the gnomon (the shadow-casting object) is not an edge but a point (e.g., a hole in a plate), the shadow (or spot of light) will trace out a curve during the course of a day. If the shadow is cast on a plane surface, this curve will be a conic section (usually a hyperbola), since the circle of the Sun's motion together with the gnomon point define a cone. At the spring and fall equinoxes, the cone degenerates into a plane and the hyperbola into a line.

The antiparallelogram has been used as a form of four-bar linkage, in which four rigid beams of fixed length (the four sides of the antiparallelogram) may rotate with respect to each other at joints placed at the four vertices of the antiparallelogram. In this context it is also called a butterfly or bow-tie linkage. As a linkage, it has a point of instability in which it can be converted into a parallelogram and vice versa. Fixing the short edge of an antiparallelogram linkage causes the crossing point to trace out an ellipse.

The paraboloid shape of Archeocyathids produces conic sections on rock faces Conic sections are important in astronomy: the orbits of two massive objects that interact according to Newton's law of universal gravitation are conic sections if their common center of mass is considered to be at rest. If they are bound together, they will both trace out ellipses; if they are moving apart, they will both follow parabolas or hyperbolas. See two-body problem. The reflective properties of the conic sections are used in the design of searchlights, radio-telescopes and some optical telescopes.

Together with his Chart of Biography (1765), which he dedicated to his friend Benjamin Franklin, Priestley believed these charts would allow students to "trace out distinctly the dependence of events to distribute them into such periods and divisions as shall lay the whole claim of past transactions in a just and orderly manner."Qtd. in Sheps, 141-2. The Chart of History lists events in 106 separate locations; it illustrates Priestley's belief that the entire world's history was significant, a relatively new development in the 18th century, which had begun with Voltaire and William Robertson.

Selective laser sintering uses a laser to trace out the shape of an object in a bed of finely powdered material that can be fused together by application of heat from the laser. After one layer has been traced by a laser, the bed and partially finished part is moved out of the way, a thin layer of the powdered material is spread, and the process is repeated. Typical materials used are alumide, steel, glass, thermoplastics (especially nylon), and certain ceramics. Example devices include the Formiga P 110 and the Eos EosINT P730.

His work in the 1930s and 40s bears a strong influence of phenomenalism, a form of radical empiricism (not to be confused with phenomenology, which examines the structure and content of consciousness). In his first book published while at Princeton, The Theory of Knowledge and Existence (1932), Stace proposes an empirical epistemology. He attempts to "trace out the logical steps by which the mind, starting with what is given, arrives at and justifies its belief in an external world".Stace, W. T., The Theory of Knowledge and Existence (Oxford: Clarendon Press, 1932), p. 27.

Associations of stars that illuminate reflection nebulae are called R associations, a name suggested by Sidney van den Bergh after he discovered that the stars in these nebulae had a non-uniform distribution. These young stellar groupings contain main sequence stars that are not sufficiently massive to disperse the interstellar clouds in which they formed. This allows the properties of the surrounding dark cloud to be examined by astronomers. Because R-associations are more plentiful than OB associations, they can be used to trace out the structure of the galactic spiral arms.

Associations of stars that illuminate reflection nebulae are called R associations, a name suggested by Sidney van den Bergh after he discovered that the stars in these nebulae had a non-uniform distribution. These young stellar groupings contain main sequence stars that are not sufficiently massive to disperse the interstellar clouds in which they formed. This allows the properties of the surrounding dark cloud to be examined by astronomers. Because R associations are more plentiful than OB associations, they can be used to trace out the structure of the galactic spiral arms.

Ruggles 1999:18 The concentric circles the stars trace out are lines of celestial latitude, known as declination. The arc connecting the points on the horizon due East and due West (if the horizon is flat) and all points midway between the Celestial Poles is the Celestial Equator which has a declination of 0°. The visible declinations vary depending where you are on the globe. Only an observer on the North Pole of Earth would be unable to see any stars from the Southern Celestial Hemisphere at night (see diagram below).

Snaking puzzle Some word search puzzles are snaking puzzles, in which the word is not a straight vertical, horizontal, or diagonal line, but "bends" at 90 degrees at any given letter. These are much more difficult than conventional puzzles. The difficulty level is further heightened when the next letter can be at 45 degrees, and using the same letter more than once is permitted, too. Snaking puzzles either hide words in a random fashion, or are designed to trace out a path in a definite shape, like a square, rectangle, horseshoe, or donut.

Kiani and Schofield ask whether the globalization hypothesis is overstated, or is it the case that we are really in a new stage in international economic, political and cultural relationships. In doing so, they trace out the present configuration of international economic, political and cultural tendencies. They look at the implications of these developments for policy and for the likely future direction of development. They stress, as the title suggests, the importance of "governance", and the ways in which nation states and international governance might interact with the processes at work.

Abedi's book Kulliyat-e-Anees consists of 579 Rubais of Mir Anis with a 150-page preface discussing the different aspects of poetry of Anis. Part of his research on Anis was the publication of "Tajzia-e-Yadgar Marsia".Book Review – Volume 3 No.6 New Hope Pages 90–91, Issue November–December, 2002 The work of Abedi on Mir Anis was an attempt to trace out the hidden facets of his life, illness, death and behavior with discipline. He also compiled a book "Rubayat-e-Dabeer" and presented selected collection of Salams and Rubais from the treasury of Mirza Dabeer's poetry.

Ackermann geometry Ackermann steering geometry is a geometric arrangement of linkages in the steering of a car or other vehicle designed to solve the problem of wheels on the inside and outside of a turn needing to trace out circles of different radii. It was invented by the German carriage builder Georg Lankensperger in Munich in 1817, then patented by his agent in England, Rudolph Ackermann (1764–1834) in 1818 for horse-drawn carriages. Erasmus Darwin may have a prior claim as the inventor dating from 1758.Erasmus Darwin's Improved Design for Steering Carriages by Desmond King-Hele , 2002, The Royal Society, London.

Vulcan, (pronounced "Volkein") is Ray's Armor and was built by his late wife Shino, who was killed by the Claw. It is armed with a long-range rifle, a strong handgun that is fired by connecting a pressurized hose to the Armor's power source, a gatling gun, and missiles from its back. In contrast to Van's armor, Ray summons Vulcan by repeatedly firing his gun downwards into the ground to trace out a circle around himself, signaling where it will rise from underground encased within a transport. The shell also serves to protect him while shooting his rifle long-range.

During the 19th century, new forms of ice skates were developed to allow for even more control and safer gliding. Specific figure skates were created in response to the rise of figure skating's popularity in the 19th century, coinciding with the beginnings of formalized competitions such as the World Figure Skating Championships. The name "figure" skating arises from the compulsory portion of the competition, dropped in the 1990s, requiring skaters to trace out precise figures on the ice, including perfect figure 8 circles. Figure skates are now manufactured with extreme precision for use in competitive sports.

However, the detailed USGS topographic maps of the United States generally show only the main Divide as determined by the overflow rule. Among other things, this eliminates the need to trace out the boundary for a basin that is very shallow and has a nebulous rim, such as the San Luis Closed Basin in Colorado and the sink of the lost streams of Idaho. Another rare exception occurs when a stream near a divide splits and flows in both directions, or a lake straddling the divide overflows in both directions. Examples of these are, respectively, North Two Ocean Creek and Isa Lake, both located on the Continental Divide in Wyoming.

In a contemporary review of Alien Lanes, Matt Diehl of Rolling Stone described the album's music as "hooky rock that infuses songwriting smarts and a love of melody with a sometimes spiky, sometimes whimsical sense of experimentation". Caroline Sullivan of The Guardian gave the album a positive review, stating that "Pollard's songs are gems that stay just this side of self-conscious eccentricity". Sullivan noted the songs' lengths, stating that they were "just enough time for Pollard to wheeze a few oblique lines and guitarist Tobin Sprout to trace out a raucous melody." Robert Christgau of The Village Voice was less complimentary, giving the album a "dud" rating.

Because of a phenomenon known as the precession of the equinoxes, the poles trace out circles on the celestial sphere, with a period of about 25,700 years. The Earth's axis is also subject to other complex motions which cause the celestial poles to shift slightly over cycles of varying lengths (see nutation, polar motion and axial tilt). Finally, over very long periods the positions of the stars themselves change, because of the stars' proper motions. An analogous concept applies to other planets: a planet's celestial poles are the points in the sky where the projection of the planet's axis of rotation intersects the celestial sphere.

The game is a traditional third-person action game, with cut-to sections where the player uses the Wii Remote to execute certain moves. For instance, the Wii Remote's pointer is used to trace out Zorro's iconic slash marks to defeat enemies whenever certain conditions are fulfilled, or control Zorro's whip, where the player points at a potential snaring target or grappling point and presses the A Button to launch the whip, allowing Zorro to swing over gaps or pull down objects. Controller gestures are used in combat, where the Wii Remote is used for basic sword moves and the Nunchuk is used for dodging enemy attacks.

These probes can be attached to antibodies and mounted to a flexible substrate for screening without refrigeration. He made use of wax ink to trace out the outline of the channels of the device, forming a waterproof barrier that separates that safely captures and stores the blood sample. Badu-Tawiah has worked on devices that can allow the early-detection of malaria and Zika virus. In 2016 he demonstrated that these simple diagnostic tests were able to accurately diagnose whether someone was infected with malaria up to one month after blood was collected, and that patients could send them by mail to research labs.

For the bonus round, the contestant/team must successfully trace out three paths on grids within 90 seconds. The first path is 6 squares (5 squares on a season 1 episode) on a 4x4 grid, the second is 8 squares (10 squares on two season 1 episodes and 9 squares on a season 2 episode) on a 5x5 grid, and the third is 10 squares on a 6x6 grid; squares are always connected (horizontally, vertically, or diagonally). Each square has an actuator in the middle that must be stepped on to activate the square. Contestants see each path twice; the clock starts running when the contestant first activates a square.

When considering the movement of an image created by a laser on the moon, some physical limitations would have to be violated in order to trace out the apparent trajectory at superluminal velocities. To approach the speed of light, and therefore to pass it, an object would have to be accelerated through an infinite potential, an impossibility within the physical universe. The acceleration process would also cause the object to have infinite mass, which is not only logically impossible, but it would also cause severe gravitational effects in the surrounding spacetime. However, these effects that have no empirical evidence leading to the conclusion that there is a simple physical explanation.

Subramaniyam Siva (Ajith Kumar) is in jail, awaiting the death sentence for killing corrupt and evil members of the police force who had killed his father SI Ganapathy (Rajesh) and sister. SP of Police Nethiadi Nandakumar (Prakash Raj) is an honest, fearless and upright police officer who has been given the mission to flush out the terrorist outfit behind the Coimbatore blasts. He decides to employ unconventional methods to fulfill his mission and engages Siva to assist him, renaming him Paramasivan, changing his look (cutting his long hair), and giving him a single-point agenda – trace out and erase the people responsible for the Coimbatore blasts. Unaware to Paramasivan, Nandakumar intends on killing him after the mission is completed.

For each point left of the sweep line, one can define a parabola of points equidistant from that point and from the sweep line; the beach line is the boundary of the union of these parabolas. As the sweep line progresses, the vertices of the beach line, at which two parabolas cross, trace out the edges of the Voronoi diagram. The beach line progresses by keeping each parabola base exactly half way between the points initially swept over with the sweep line, and the new position of the sweep line. Mathematically, this means each parabola is formed by using the sweep line as the directrix and the input point as the focus.

720/1320) had reached the residence of Shamsuddin Muhammad at Azerbaijan after getting information very privily from the above dais at any station, most probably at Tabriz. It was however most difficult for him to trace out the hidden Imam in a big province, had he not known the clues. There is the offshoot of the Muhammad-Shahi or Mumini Nizari Ismailis who follow the elder son of Shamsu-d- Dīn Muḥammad (the 28th Qasim-Shahi Imam) named ‘Alā’ ad-Dīn Mumin Shāh (26th Imam of the Muhammad-Shahi or Mumini Nizari Ismailis). They follow this line of Imams until the disappearance of the 40th Imam Amir Muhammad al-Baqir in 1796.

This novel is set in 1960s-era Tijuana and reflects both the time of the Vietnam War and the space of the Mexico–United States border. The central character of Loreto Maldonado, an old man reduced to washing cars in his final days, also allows Méndez to flashback to the Mexican Revolution. Méndez introduces characters from a variety of backgrounds in order to illustrate the multiple cultures that exit on the border—not just Chicano, but Mexican, Yaqui and US as well. Méndez does not provide a straightforward plot for the novel, but uses the encounters between characters to reveal their histories and thus to trace out the history and culture of the border region.

Consider how the vertical and horizontal displacements of the dot, relative to the center of the circle, vary sinusoidally in time and are out of phase by one quarter of a cycle. The displacements are said to be out of phase by one quarter of a cycle because the horizontal maximum displacement (toward the left) is reached one quarter of a cycle before the vertical maximum displacement is reached. Now referring again to the illustration, imagine the center of the circle just described, traveling along the axis from the front to the back. The circling dot will trace out a helix with the displacement toward our viewing left, leading the vertical displacement.

Animation (not to scale) showing geosynchronous satellite orbiting the Earth. A geosynchronous orbit (sometimes abbreviated GSO) is an Earth-centered orbit with an orbital period that matches Earth's rotation on its axis, 23 hours, 56 minutes, and 4 seconds (one sidereal day). The synchronization of rotation and orbital period means that, for an observer on Earth's surface, an object in geosynchronous orbit returns to exactly the same position in the sky after a period of one sidereal day. Over the course of a day, the object's position in the sky may remain still or trace out a path, typically in a figure-8 form, whose precise characteristics depend on the orbit's inclination and eccentricity.

Astronomers throughout Europe tracked its position for several months. In 1681, the Saxon pastor Georg Samuel Doerfel set forth his proofs that comets are heavenly bodies moving in parabolas of which the Sun is the focus. Then Isaac Newton, in his Principia Mathematica of 1687, proved that an object moving under the influence of his inverse-square law of universal gravitation must trace out an orbit shaped like one of the conic sections, and he demonstrated how to fit a comet's path through the sky to a parabolic orbit, using the comet of 1680 as an example. The theories that astrologers and philosophers before the 1600s came up were still prevalent by the time Isaac Newton began studying mathematics and physics.

"Hall, Robert W. (1983). Zero Inventories, Homewood, Ill., Dow Jones-Irwin Specifically, Japan's JIT (just-in-time) manufacturing approach had an easy-to-understand visual interface: andon (stacked lights), kanban (pick-up tickets for control material quantity), color-coding (to make the match between items), scheduling boards for daily production, easy-to-read labels on shelving, and lines on the floor to trace out locations.Hirano, H.(1988) JIT Factory, Productivity Press Japanese master practitioners also noted that visual devices made it easy to see the difference between normal and abnormal: "…abnormal conditions and problems need to be obvious enough to catch people's attention. Because of the emphasis on visual methods for quick information transfer, the practice is called ’management by sight’ or ‘visual control’.

For instance, in Rule 90, a one-dimensional elementary cellular automaton, the population size starting from a single live cell follows Gould's sequence, which has a self-similar sawtooth pattern. On each step whose number is a power of two, the population crashes from a high of the step number plus one to a low of only two live cells. As the population grows with this pattern, its live cells trace out the rows of a Sierpinski triangle.. The sawtooth shape of this pattern can be used to recognize physical processes that behave similarly to Rule 90.. In Rule 90 and in many cellular automata such as Highlife, the sawtooth pattern is based on the existence of a small replicator, which in Rule 90 consists of a single live cell.

It has a red tip and is designed to trace out to 500 yards, and trajectory match the M193 (56-grain) ball cartridge, which has no tip color. Trajectory match, or ballistic match, is achieved between two bullets of slightly different weight and aerodynamic characteristics by adjusting the cartridge propellant weight, propellant type, and muzzle velocity, to remain within safe pressure limits, yet provide each bullet with a trajectory to the target that is nearly identical over all atmospheric conditions and target engagement ranges, while using the same gunsight aimpoint. Trajectory match is not intended to be perfect, an engineering impossibility under the closest of similarities between the two bullets, that is further complicated in the case of the tracer losing mass and changing its drag properties as it flies.

The aim of the exhibition is to trace out a map of the main results of the artistic research conducted in Italy during the two decades prior to 2008 as well as of the experiences considered representative of that period, devoting particular attention to the artists in the middle of their careers and the younger ones, indicative of the possible future evolution of the Italian artistic panorama. The exhibition registers the different tendencies of contemporary art in which conceptual art, minimalism, and the various tendencies of the pictorial and photographic image are confronted in a further attempt to identify the possible singularities of the Italian situation in the international system of art. 15th Rome Quadriennale, press release URL retrieved 24 May 2009. Accessed 2009-05-24. Archived 2009-05-27.

A dynamic disassembler can be incorporated into the output of an emulator or hypervisor to 'trace out', line-by-line, the real time execution of any executed machine instructions. In this case, as well as lines containing the disassembled machine code, the register(s) and/or data change(s) (or any other changes of "state", such as condition codes) that each individual instruction causes can be shown alongside or beneath the disassembled instruction. This provides extremely powerful debugging information for ultimate problem resolution, although the size of the resultant output can sometimes be quite large, especially if active for an entire program's execution. OLIVER provided these features from the early 1970s as part of its CICS debugging product offering and is now to be found incorporated into the XPEDITER product from Compuware.

Electromagnetic radiation consists of an electric (E) and magnetic (B) field that oscillate perpendicular to one another and to the propagating direction, a transverse wave. While linearly polarized light occurs when the electric field vector oscillates only in one plane, circularly polarized light occurs when the direction of the electric field vector rotates about its propagation direction while the vector retains constant magnitude. At a single point in space, the circularly polarized- vector will trace out a circle over one period of the wave frequency, hence the name. The two diagrams below show the electric field vectors of linearly and circularly polarized light, at one moment of time, for a range of positions; the plot of the circularly polarized electric vector forms a helix along the direction of propagation (k).

Geography by Ptolemy, Latin manuscript of the early 15th century Ptolemy's second main work is his Geography (also called the Geographia), a compilation of geographical coordinates of the part of the world known to the Roman Empire during his time. He relied somewhat on the work of an earlier geographer, Marinos of Tyre, and on gazetteers of the Roman and ancient Persian Empire. He also acknowledged ancient astronomer Hipparchus for having provided the elevation of the north celestial poleThe north celestial pole is the point in the sky lying at the common centre of the circles which the stars appear to people in the northern hemisphere to trace out during the course of a sidereal day. for a few cities.Shcheglov D.A. (2002–2007): "Hipparchus’ Table of Climata and Ptolemy’s Geography", Orbis Terrarum 9 (2003–2007), 177–180.

In a perfectly competitive market the price is given by the marketplace from the point of view of the supplier; a manager of a competitive firm can state what quantity of goods will be supplied for any price by simply referring to the firm's marginal cost curve. To generate his supply function the seller could simply initially hypothetically set the price equal to zero and then incrementally increase the price; at each price he could calculate the hypothetical quantity supplied using the marginal cost curve. Following this process the manager could trace out the complete supply function. A monopolist cannot replicate this process because price is not imposed by the marketplace and hence is not an independent variable from the point of view of the firm; instead, the firm simultaneously chooses both the price and the quantity subject to the stipulation that together they form a point on the customers' demand curve.

Many members of the community then left El Salvador in the late 1970s and early 1980s due to the civil war. The collection began in 1981 when Lea Freund, a member of the community, interviewed some of her family members and friends in the parts of South Florida that they had immigrated to. It was then substantially expanded when Jessica Alpert, whose grandmother had lived in the community, received a Fulbright grant to interview community members who were now geographically scattered; she traveled to San Salvador, Miami, Maryland, Israel, and parts of Europe to conduct the interviews and trace out the interconnections of family and heritage in this small and tight-knit community, as well as being able to record voices from the Jewish community's efforts in San Salvador to convert new members so that it is able to carry on into the future. The interviews are primarily in English or Spanish, but variously also contain phrases and statements in French, German, and Hebrew.

In 1993, Moore found a novel solution to the three-body problem, showing that it is possible in Newtonian mechanics for three equal- mass bodies to follow each other around a shared orbit along a figure-eight shaped curve. Moore's results were found through numerical computations, and they were made mathematically rigorous in 2000 by Alain Chenciner and Richard Montgomery and shown computationally to be stable by Carlès Simo. Later researchers showed that similar solutions to the three-body problem are also possible under general relativity, Einstein's more accurate description of the effects of gravitation on moving bodies. After his original work on the problem, Moore collaborated with Michael Nauenberg to find many complex orbits for systems of more than three bodies, including one system in which twelve bodies trace out the four equatorial cycles of a cuboctahedron..... In 2001, Moore and J. M. Robson showed that the problem of tiling one polyomino with copies of another is NP-complete.. Moore has also been active in the field of network science, with many notable publications in the field.

If one of the short (uncrossed) edges of an antiparallelogram linkage is fixed in place, and the remaining linkage moves freely, then the crossing point of the antiparallelogram traces out an ellipse that has the fixed edge's endpoints as its foci. The other moving short edge of the antiparallelogram has as its endpoints the foci of another moving ellipse, formed from the first one by reflection across a tangent line through the crossing point.. For both the parallelogram and antiparallelogram linkages, if one of the long (crossed) edges of the linkage is fixed as a base, the free joints move on equal circles, but in a parallelogram they move in the same direction with equal velocities while in the antiparallelogram they move in opposite directions with unequal velocities.. As James Watt discovered, if an antiparallelogram has its long side fixed in this way it forms a variant of Watt's linkage, and the midpoint of the unfixed long edge will trace out a lemniscate or figure eight curve. For the antiparallelogram formed by the sides and diagonals of a square, it is the lemniscate of Bernoulli., pp. 58–59.