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shortest and them
REM sleep episodes and the dreams that accompany them lengthen progressively across the night, with the first episode being shortest, of approximately 10 – 12 minutes duration, and the second and third episodes increasing to 15 – 20 minutes.
The minor arc of a great circle between two points is the shortest surface-path between them.
Laws such as that forbidding Jews to own property and allowing them only the shortest possible time in which to sell what they owned, and that requiring all Roman residents to listen to Catholic catechism commentary, led many of Rome's Jews to emigrate, to Trieste, Lombardy and Tuscany.
However, such neighbors do not provide the shortest path to a destination, therefore, not using them does not present any significant impairment of the network functionality.
It is clear that the great majority of positions in the puzzle will never be reached when using the shortest possible solution ; indeed, if the priests of the legend are using the longest possible solution ( without re-visiting any position ) it will take them 3 < sup > 64 </ sup > − 1 moves, or more than 10 < sup > 23 </ sup > years.
If A and B are antipodal points ( like the North pole and the South pole ), then there are infinitely many shortest paths between them.
A popular but incorrect tale among the local tourist guides is that the bigger island is in Canada, while the smaller one is in the USA, and the foot bridge between them is the shortest international bridge in the world.
Most receivers have the ability to compute a great circle route towards a waypoint, enabling them to find the shortest route even over long distances, although waypoints are often so closely spaced that this isn't a factor.
Proofreading this kind of material presents a special challenge, first because the proofreader / editor is usually the author ; second because such authors are usually unaware of the inevitability of errors and the effort required to find them ; and third, as finding any final errors often occurs just when stress levels are highest and time shortest, readers ' minds resist identifying them as errors.
The Ehrlichs did describe these coercive methods in their 1977 textbook, Ecoscience: Population, Resouces, Environment but they did not endorse them, saying, " A far better choice, in our view, is to expand the use of milder methods of influencing family size preferences, while redoubling efforts to ensure that the means of birth control, including abortion and sterilization, are accessible to every human being on Earth within the shortest possible time.
The shortest of them lasted just three days.
The Steiner tree problem is superficially similar to the minimum spanning tree problem: given a set V of points ( vertices ), interconnect them by a network ( graph ) of shortest length, where the length is the sum of the lengths of all edges.
In the mathematical field of graph theory, the distance between two vertices in a graph is the number of edges in a shortest path connecting them.
REM sleep episodes and the dreams that accompany them lengthen progressively across the night, with the first episode the shortest, of approximately 10 – 12 minutes duration, and the second and third episodes increasing to 15 – 20 minutes.
Competition pistol sometimes have barrels as long as, still making them shorter than the shortest rifle barrels.
These companies tend to focus on different industry sectors but their underlying approach tends to be similar in that they will attempt to provide the shortest route to automation by exploiting the user interface layer rather than going deeply into the application code or databases sitting behind them.
The shortest song is under three minutes, the longest over 16 and the more you listen to all of them the more you'll wonder why this masterpiece wasn't massive " Record Collector were also highly favourable.
For each pair of vertices ( s, t ), compute the shortest paths between them.
His 1981-82 team produced four future NBA players-three of them first-round draft picks-including Boston Celtics captain Reggie Lewis, who was the high school's team's sixth man, and 5 '- 3 " Tyrone " Muggsy " Bogues, who had a 14-year NBA career despite being the shortest player in league history.
Legend has it that in ancient Mesopotamia, people feared the prowess of the unpredictably fatal sand monsters which turned them into the minuscule dust of arid deserts when the shadows were the shortest in the day.
Many of the optical impairments are nonlinear, so a standard shortest path algorithm can't be used to solve them optimally even if we know the exact state of the network.
A comparison of the original field notes, transcript notes, plats and report of the examiner, shows that at the season of the year ( from December 1, 1884 to January 3, 1885 ) when the deputy pretends to have made the surveys, the deep snows made the survey at that time impossible ; that in the original notes ( which are now in this office ) much is omitted that is found in the transcripts and data supplied from memory, or rather made up ; that disregarding clerical errors the transcripts are not in any sense copies of the original notes ; that triangulations omitted in originals are audaciously given in detail in the transcripts, just as if they had really been made in the field, that the high speed, more than 6 miles per day, at which it is pretended the work was executed, surpasses belief when we take into consideration the nature of the ground, and bear in mind that the surveying was done during the shortest days of the year ; that the deputy gives descriptions of erroneous bearing trees where no such trees, either as regards size or species, are to be found ; that in the face of all the embarrassing conditions, big canyons, high and steep mountains, deep snow, impenetrable chaparral, precipices impossible to ascend or descend, the deputy with his two parties of four men each, frequently with the impassable San Joaquin river between them, pretends to have subdivided T8SR24E at the rate of more than 6 miles per day, and then accomplishes the feat of recording all this work in one field book.
The unit was founded by William McMurdo as the Engineer and Railway Staff Corps in 1865 to ensure " the combined action among all the railways when the country is in danger " and tasked particularly with " the preparation, during peace, of schemes for drawing troops from given distant parts and for concentrating them within given areas in the shortest possible time ".

shortest and 43
It is the shortest among 43, 589, 145, 600 possible tours visiting each city exactly once.

shortest and pages
It is one of his shortest stories, filling only two pages in its initial publication in 1842.
The episode's first act was one of the shortest the staff had ever written at that time, roughly ten pages in length, but with no ideas to expand, they left it as it was.

shortest and 2009
Because of a top 10 % ranking in per capita and one of the shortest commutes in Southern California, the city was chosen in 2009 by Forbes as one of the top 25 towns to live well in America.
In June 2009, JR Central also announced research results comparing the three routes, estimating revenue and travel time, which showed the most favorable being the shortest Plan C, with long tunnels under the Japanese Alps ( Akaishi Mountains ).
Monday, May 25, 2009, although nicknamed by many as the 24 Hours of Charlotte, saw the shortest run of the race in its history.
Given his love of such statistics, it is highly fitting that his funeral took place on 13 February 2009, the day of the shortest Test ; the second Test between England and the West Indies was abandoned after just 10 balls.
It stayed in the UK Top 100 for seven weeks, and was the second shortest presence on a singles chart, after her 2009 duet with Lady Gaga on the extended remix version of " Video Phone ".

shortest and ),
The program tries every string, starting with the shortest, until it finds a string with complexity at least n ( if there is one ), then returns that string ( or goes into an infinite loop if there is no such string ).
The shortest ( and possibly oldest ) road avoids alpine areas and led from the Baltic coastline ( nowadays Estonia ), passed the Moravian Gate, followed the river Morava, crossed the Danube near Carnuntum in the Noricum Province, headed southwest past Poetovio, Celeia, Emona, Nauportus, and reached Aquileia at the Adriatic coast.
Pope Urban VII ( 4 August 1521 – 27 September 1590 ), born Giovanni Battista Castagna, was Pope for thirteen days in September 1590, the shortest papal reign in history.
The Earth is not a perfect sphere, it is an oblate spheroid or ellipsoid ( i. e. – slightly compressed at the poles ), which means that the shortest distance between two points ( a geodesic ) is not quite a great circle.
Considering only ( ℓmn ) planes intersecting one or more lattice points ( the lattice planes ), the perpendicular distance d between adjacent lattice planes is related to the ( shortest ) reciprocal lattice vector orthogonal to the planes by the formula:
Turner held the office of Prime Minister for 79 days ( the second shortest tenure in Canadian history after Charles Tupper ), as he dissolved Parliament immediately after being sworn in as Prime Minister, and went on to lose the 1984 election in a landslide.
At 53 feet ( 16. 2 m ), it is the shortest covered bridge in the county.
Jāņi ( pronounced ) is a Latvian festival held in the night from 23 June to 24 June to celebrate the summer solstice ( Midsummer ), the shortest night and longest day of the year.
The shortest path between two points in a curved space can be found by writing the equation for the length of a curve ( a function f from an open interval of R to the manifold ), and then minimizing this length using the calculus of variations.
At just, I-45 is the shortest of the primary interstates ( ending in 0 or 5 ), and the only primary interstate to be entirely inside of one state.
For example, given a graph G =( V, E ), the shortest path p from a vertex u to a vertex v exhibits optimal substructure: take any intermediate vertex w on this shortest path p. If p is truly the shortest path, then the path p < sub > 1 </ sub > from u to w and p < sub > 2 </ sub > from w to v are indeed the shortest paths between the corresponding vertices ( by the simple cut-and-paste argument described in CLRS ).
The locks on the Aire and Calder and the lower Calder and Hebble ( below Broad Cut Locks at Calder Grove ) have since been lengthened, and can accommodate boats which are 120 ft by 17. 5 ft ( 36. 6m x 5. 3m ), but the shortest locks on the upper Calder and Hebble force boats longer than about to lie diagonally in the locks.
Platform access is only by lift or stairs ; until improvements to the exit gates in 2007, due to high passenger numbers ( 16 million annually ), London Underground had to advise travellers to get off at Leicester Square and walk the short distance ( the tube journey at less than 300 yards is London's shortest ) to avoid the congestion.
A Brachistochrone curve ( Gr. βράχιστος, brachistos-the shortest, χρόνος, chronos-time ), or curve of fastest descent, is the curve between two points that is covered in the least time by a point-like body that starts at the first point with zero speed and is constrained to move along the curve to the second point, under the action of constant gravity and assuming no friction.
In graph theory, a branch of mathematics, the Chinese postman problem ( CPP ), postman tour or route inspection problem is to find a shortest closed path or circuit that visits every edge of a ( connected ) undirected graph.
The trunk road Rv3, the shortest route between Oslo and Trondheim, runs through Tynset, and the Rondevegen connects Tynset to Lillehammer ( south ), Røros ( north-east ) and continues further into Sweden.
* Lettre sur la sculpture ( 1769 ), in which occurs the well-known definition of the Beautiful as " that which gives us the greatest number of ideas in the shortest space of time "
Most significant among the customs of the summer is lighting the fire of Midsummer Night ( szentiváni tűzgyújtás ) on the day of St. John ( June 24 ), when the sun follows the highest course, when the nights are the shortest and the days the longest.
The third leg was the shortest, in 20 hours ( 84. 15mph ), and crossed the Australian coastline near Ballina before turning north to fly to Brisbane, where they landed at 10. 50 am on 9 June.

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