The situation is further complicated by the traditional uses of the terms parallel and distributed algorithm that do not quite match the above definitions of parallel and distributed systems ; see the section Theoretical foundations below for more detailed discussion.

Although the problem is not known to be in NC, parallel algorithms with time superior to the Euclidean algorithm exist ; the best known deterministic algorithm is by Chor and Goldreich, which ( in the CRCW-PRAM model ) can solve the problem in O ( n / log n ) time with n < sup > 1 + ε </ sup > processors.

* Merge sort parallelizes well and can achieve close to linear speedup with a trivial implementation ; heapsort is not an obvious candidate for a parallel algorithm.

The potential speed-up of an algorithm on a parallel computing platform is given by Amdahl's law, originally formulated by Gene Amdahl in the 1960s.

In computer science, a parallel algorithm or concurrent algorithm, as opposed to a traditional sequential ( or serial ) algorithm, is an algorithm which can be executed a piece at a time on many different processing devices, and then put back together again at the end to get the correct result.

Designs of parallel processors use special buses like crossbar so that the communication overhead will be small but it is the parallel algorithm that decides the volume of the traffic.

Because Sollin was the only computer scientist in this list living in an English speaking country, this algorithm is frequently called Sollin's algorithm, especially in the parallel computing literature.

This has the advantage of requiring the same number of arithmetic operations as the naive summation ( unlike Kahan's algorithm, which requires four times the arithmetic and has a latency of four times a simple summation ) and can be calculated in parallel.

Second, the two 32 × 32 systems need not be solved on the same computer, so this algorithm can be run in parallel to use the power of multiple computers.

Halperin and Zwick designed an optimal randomized parallel algorithm that runs in O ( log n ) time with high probability on EREW PRAM.

The Shiloach-Vishkin algorithm, due to Yossi Shiloach and Uzi Vishkin, is the basis for many parallel implementations.

Instead, the microcode implements part of the marking portion of Edsger Dijkstra's on-the-fly parallel garbage collection algorithm ( a mark-sweep style collector ).

Although seen more often as an educational device, pancake sorting also appears in applications in parallel processor networks, in which it can provide an effective routing algorithm between processors.

To avoid this problem, they modify the algorithm so that, after reaching each choice point, it tests in parallel both alternative assignments for the variable set at the choice point, interleaving both parallel tests to produce a sequential algorithm.

The eastern boundary below the 31st parallel was unclear ; the U. S. claimed the land as far as the Perdido River, and Spain claimed the border of its Florida Colony remained the Mississippi river.

Over time, a few Marvel Comics writers lobbied Marvel editors to incorporate the idea of a Multiverse resembling DC's parallel worlds ; this plot device allows one to create several fictional universes which normally do not overlap ( see below or Multiverse for more information ).

Even when the beam is emitted parallel to the ground, it will rise above it as the Earth curvature sinks below the horizon.

Terbium has a simple ferromagnetic ordering at temperatures below 219 K. Above 219 K, it turns into a helical antiferromagnetic state in which all of the atomic moments in a particular basal plane layer are parallel, and oriented at a fixed angle to the moments of adjacent layers.

Crystals below 30 MHz are generally operated between series and parallel resonance, which means that the crystal appears as an inductive reactance in operation.

Then, wrap the free end of the rope around both poles parallel, and below, the clove hitch about seven or eight times.

In the human pathogenic genus Cryptococcus, 4 nuclei following meiosis remain in the basidium but continually divide mitotically, each nucleus migrating into synchronously forming nonballistic basidiospores that are then pushed upwards by another set forming below them, resulting in 4 parallel chains of dry " basidiospores ".

* Just as in the Roman alphabet, there are short letters, e. g. a, c, e, m, and n, written between the base writing line and the " upper parallel " ( as Read calls it ), tall letters, e. g. b, d, f, k, and t, which ascend above the top of the short letters, and deep letters, e. g. g, j, and y, which descend below the base writing line.

* Colony of British Columbia, aka the Mainland Colony or the Gold Colony, founded in 1858 from the New Caledonia fur district and the remnant of the Columbia fur district north of the 49th parallel ( see below ).

After the Russo-Japanese War, Russia and Japan signed the Treaty of Portsmouth of 1905, which saw the southern part of the island below 50th parallel north reverting to Japan ; Russia retained the other three-fifths of the area.

The lifter bends their knees and drops into a squatting position with the hips slightly below parallel position.

In the southern and western parts of the county, the volcanic cliffs of the Candelaria Rimrock ( also called the Sierra Vieja ) rise perpendicular and run parallel to the river, separating the highland prairies from the desert floor hundreds of feet below them.

Composed of numerous parallel rows of eyebars connected by bolts, the chains are anchored in tunnels in the rocks below ground level at the sides of the gorge.

A line slightly longer than the note head is drawn parallel to the staff, above or below, spaced at the same distance as the lines within the staff ( see Figure 1 ).

Many people in the ticket hall believed that the fire was small and thus not an immediate hazard: indeed, an evacuation route from the tunnels below was arranged through a parallel escalator tunnel to the ticket hall above the burning escalator.

Traditionally IBM PC systems have allocated their first three parallel ports according to the configuration in the table below ( if all three printer ports exist ).

The B section is generally in a contrasting, but closely related key, usually the dominant key of the first section's tonic ( a perfect fifth above ) or the relative or parallel minor or major, less often the subdominant key ( a perfect fifth below ).

The trigger mechanism of an early arquebus most often resembled that of a crossbow: a gently curved lever pointing backward and parallel to the stock ( see illustration of Spanish arquebusier below ).

Because meteor shower particles are all traveling in parallel paths, and at the same velocity, they will all appear to an observer below to radiate away from a single point in the sky.

In rural areas of Western Australia below the 27th parallel, local governments nominate shop closing hours to the State government, which, if accepted, are implemented by ministerial order.

After below Isis Lock the Oxford Canal ends abruptly at Hythe Bridge Street near to the current Hythe Bridge over the Castle Mill Stream, a backwater of the River Thames that runs parallel to the Oxford Canal for its southernmost part.

In the same vein, the Pali suttas ( and parallel āgamas, both referred to collectively below as the nikāyas ), categorize the phenomena experienced by a being into five groups (" khandhas ") that serve as the objects of clinging and as the basis for a sense of self.

The figure on the right illustrates the difference between distributed and parallel systems.

By strict letter of the law, the ball must be fed into the middle of the tunnel with its major axis parallel to the ground and touchline ; however this is becoming less strictly enforced as the photo in this article illustrates.

Note that the continuation with the parallel construction who stood apart illustrates how the use of subject whom can lead to inconsistencies.

Eugene Vance illustrates one parallel effectively fostered by Chaucer ’ s sexual innuendoes.

A well-known example of this is Julius Caesar's " Veni, vidi, vici " (" I came ; I saw ; I conquered ), which also illustrates that a common form of isocolon is tricolon, or the use of three parallel members.

For example, The Friar's Tale is significantly expanded upon: where the Friar leads in with a general account of the archdeacon's severity and the summoner's corruption, Pasolini illustrates this with a specific incident which has no parallel in Chaucer.