query: why is n 't there a bridge between england and france

pos: Transatlantic tunnel estimates of between $88 billion to $175 billion as well as the limits of current materials science. Existing major tunnels, such as the Channel Tunnel, Seikan Tunnel and the Gotthard Base Tunnel, despite using less expensive technology than any yet proposed for the transatlantic tunnel, struggle financially. Many variations of the concept exist, including a tube above the seabed, a tunnel beneath the ocean floor, or some combination of the two. A 1960s proposal has a -long near-vacuum tube with vactrains, a theoretical type of maglev train, which could travel at speeds up to . At this speed, the travel-time

neg: Runcorn Railway Bridge her in 915. This connection is alleged to be the reason why LNWR had opted to have elements of the bridge castellated. There are three shields above the footway showing, from the southern end, the Coat of Arms of the City of London, Britannia (from the crest of the railway company) and the Liver Bird of Liverpool. Because of the presence of the crest, the bridge is also known as the Britannia Railway Bridge. Runcorn Railway Bridge The Runcorn Railway Bridge, Ethelfleda Bridge or Britannia Bridge crosses the River Mersey at Runcorn Gap between Runcorn and Widnes in Cheshire, England.

neg: T Third Street King Street in front of AT&T Park until it reaches the Caltrain station terminal. This portion of the Muni Metro rail line between the Embarcadero portal and the Caltrain terminal was built in 1998 and is utilized by an extension of the N Judah, which shares track with the T to the Caltrain terminal at 4th and King. From there the T turns south on Fourth Street, crossing the bridge over Mission Creek before joining Third Street for the majority of the route's length. It passes through Mission Bay where the UCSF Mission Bay branch is located, then continues on

neg: P-complete we have to reword the problem so that the sequential version is in P. That is why this problem required "T" to be written in unary. If a number "T" is written as a binary number (a string of "n" ones and zeros, where "n" = log "T"), then the obvious sequential algorithm can take time 2. On the other hand, if "T" is written as a unary number (a string of "n" ones, where "n" = "T"), then it only takes time "n". By writing "T" in unary rather than binary, we have reduced the obvious sequential algorithm from

neg: N of tha World album, the only track by the group is "N of tha World". The rest of the album consists solely of collaborations between Esham and T-N-T recorded for Psychopathic Records during his time with the label. With the exception of five songs. The five new songs recorded for the release were "World's Apart", "On My Own", "Trouble & Pain", "Niggaz Always Talkin' Alot of Shit", and the final track "Why You Gotta Lie" which was a diss-track to Esham's former employer as well as the internet. "N of tha World" features live instrumentation and loops which derive from blues, funk and

neg: Gandikota Rahasyam Gandikota Rahasyam Gandikota Rahasyam (English: Secret of Gandikota) is a 1969 Telugu folklore film, produced by D. V. S. Raju under the DVS Productions banner and directed by B. Vittalacharya. It stars N. T. Rama Rao, Jayalalitha in the lead roles and music composed by T. V. Raju. The film was dubbed in Hindi as "Baghavat". Once upon on time, there was a kingdom by name, Gandikota, its prince was Jayanth (N. T. Rama Rao), who is the heir apparent. Jayanth's cousin Pratapa Simha (Rajanala) wants to grab the kingdom, that's why he spoils Jayanth by habituating him to vices.

neg: Analog television 2012, when UK transitioned to digital (DVB-T)), France uses SECAM-L (discontinued in 2011, when France transitioned to digital (DVB-T)), much of Western Europe and Australia use PAL-B/G (Many of these transitioned or transitioning to DVB-T as digital television standards), most of Eastern Europe uses SECAM-D/K or PAL-D/K and so on. However, not all of these possible combinations actually exist. NTSC is currently only used with system M, even though there were experiments with NTSC-A (405 line) in the UK and NTSC-N (625 line) in part of South America. PAL is used with a variety of 625-line standards (B,G,D,K,I,N) but also

neg: Morell Bridge Bridge in 1936 after Sir Stephen Morell who was a prominent Victorian businessman and Lord Mayor of Melbourne between 1926 and 1928. On June 7, 1998 the bridge was closed to motor vehicles as part of the CityLink project. It is currently used by cyclist and pedestrian traffic, connecting the Royal Botanic Gardens to the Olympic Park precinct. Morell Bridge The Morell Bridge is an arch bridge over the Yarra River in South Yarra, Melbourne, Victoria, Australia. Completed in 1899 by John Monash and J. T. N. Anderson, it is notable as the first bridge in Victoria that was built

neg: History of the Second Avenue Subway tail tracks. During construction, the station's upper level would have had to been underpinned. To replace the R on Queens Boulevard, a Broadway Local T route (distinct from the currently proposed Second Avenue Local T route) would have been created, running between Continental Avenue and Bay Parkway via Broadway local and the Manhattan Bridge. The "Canal Street Flip" would have provided a direct connection between the local tracks and the Manhattan Bridge. The N, which ran local on Broadway, would have been rerouted from the Montague Street Tunnel to the Manhattan Bridge. Initially, a spur to Grand Central Terminal was

neg: Robert Spencer Robinson of the Navy, Vice-Admiral Sir [Robert] Spencer Robinson." "In 1870 [Robert] Spencer Robinson counted the British ironclad force at thirty-nice ships, and that of France at forty-one, claiming that France had a superiority of numbers in heavy guns, and concluded that '[a]t this moment an alliance between France and so small a naval power as Holland would turn most seriously the naval preponderance against England...' With all this [the First Naval Lord] [Admiral S.C.] Dacres cordially concurred, pointing out especially that '[t]there is no doubt that we are outnumbered by some ten vessels of the special service class [i.e. coast

neg: Welland Canal, Bridge 15 was clear to proceed when the bridge was open. In the case of bridge 15, however, the operator was responsible for more than just the bridge itself. The bridge control cabin also functioned as an interlocking tower for the junction with the Toronto, Hamilton and Buffalo Railway (located a short distance west of the bridge), as well as a crossover immediately west of the bridge, the at-grade crossing of the Niagara, St. Catharines & Toronto Electric Railway (N, S & T), and sidings on both sides of the canal. The N, S & T line was abandoned in the 1960s,

neg: Cheap talk messages are constant: for "t(N) < t < t(N), µ(t) = m". Actions. Since actions are functions of messages, actions are also constant over these intervals: for "t(N) < t < t(N)", "α(t) = α(m) = a". The action function is now indirectly characterized by the fact that each value "a" optimizes return for the "R", knowing that "t" is between "t" and "t". Mathematically (assuming that "t" is uniformly distributed over [0, 1]), formula_3 → "Quadratic utilities:" Given that "R" knows that "t"is between "t" and "t", and in the special case quadratic utility where "R" wants action "a"

neg: William Shakespeare (essay) public literary domain." Literature is the secretion of civilisation, poetry of the ideal. That is why literature is one of the wants of societies. That is why poetry is a hunger of the soul. That is why poets are the first instructors of the people. That is why Shakespeare must be translated in France. That is why Molière must be translated in England. That is why comments must be made on them. That is why there must be a vast public literary domain. That is why all poets, all philosophers, all thinkers, all the producers of the greatness of the

neg: Post's theorem and only if there is a number k such that B is the halting state. The exact relation depends on the specific implementation of the notion of Turing machine (e.g. their alphabet, allowed mode of motion along the tape, etc.) In case T halts at time n, the relation between (A,B,C) and (A,B,C) must be satisfied only for k bounded from above by n. Thus there is a formula formula_46 in first-order arithmetic with no unbounded quantifiers, such that T halts on input n at time n at most if and only if formula_46 is satisfied. For example, for a

neg: Swanley, Cheshire is in blue-and-red brick with stone copings. Swanley, Cheshire Swanley is a small settlement at in the unitary authority of Cheshire East and the ceremonial county of Cheshire, England. It is divided between two civil parishes, Baddiley and Burland. Nearby settlements include Acton, Burland, Ravensmoor and Stoneley Green. Swanley is located immediately south of a T-junction between Swanley Lane and Springe Lane, and to the east of the Llangollen branch of the Shropshire Union Canal. The grade-II-listed Swanley Bridge, which dates from around 1793, crosses the canal near the T-junction. Just north of the bridge lies Swanley Lock No. 2;

neg: Swanley, Cheshire Swanley, Cheshire Swanley is a small settlement at in the unitary authority of Cheshire East and the ceremonial county of Cheshire, England. It is divided between two civil parishes, Baddiley and Burland. Nearby settlements include Acton, Burland, Ravensmoor and Stoneley Green. Swanley is located immediately south of a T-junction between Swanley Lane and Springe Lane, and to the east of the Llangollen branch of the Shropshire Union Canal. The grade-II-listed Swanley Bridge, which dates from around 1793, crosses the canal near the T-junction. Just north of the bridge lies Swanley Lock No. 2; the grade-II-listed lock dates from 1805 and

neg: Ω-consistent theory of the natural numbers under this translation. A "T" that interprets arithmetic is ω-inconsistent if, for some property "P" of natural numbers (defined by a formula in the language of "T"), "T" proves "P"(0), "P"(1), "P"(2), and so on (that is, for every standard natural number "n", "T" proves that "P"("n") holds), but "T" also proves that there is some natural number "n" (necessarily nonstandard) such that "P"("n") "fails". This may not generate a contradiction within "T" because "T" may not be able to prove for any "specific" value of "n" that "P"("n") fails, only that there "is" such an

neg: Combinatorial proof proof, given by Aigner and Ziegler and credited by them to André Joyal, involves a bijection between, on the one hand, "n"-node trees with two designated nodes (that may be the same as each other), and on the other hand, "n"-node directed pseudoforests. If there are "T" "n"-node trees, then there are "n""T" trees with two designated nodes. And a pseudoforest may be determined by specifying, for each of its nodes, the endpoint of the edge extending outwards from that node; there are "n" possible choices for the endpoint of a single edge (allowing self-loops) and therefore "n" possible pseudoforests.

neg: Spherical design Hong (1982). Shortly thereafter, Seymour and Zaslavsky (1984) proved that such designs exist of all sufficiently large sizes; that is, given positive integers "n" and "t", there is a number "N"("d","t") such that for every "N" ≥ "N"("d","t") there exists a spherical "t"-design of "N" points in dimension "d". However, their proof gave no idea of how big "N"("d","t") is. Good estimates for that were found later on. Besides these "large" sizes, there are many sporadic small spherical designs; many of them are related to finite group actions on the sphere and are of great interest in themselves. Recently, Bondarenko,

neg: Singular trace product "ST" where "S" is bounded and "T" is selfadjoint and belongs to a two-sided ideal "J" then for any trace φ on "J". The orthonormal basis { "e" } must be ordered so that "Te" μ("n","T")"e", "n"0,1,2... . When φ is singular and φ("T")1 then "v" is a linear functional on "l" that extends the limit at infinity on the convergent sequences "c". The expectation ⟨"S"⟩ φ("ST") in this case has the property that ⟨"P"⟩ 0 for each "n", or that there is no probability of being in a bound quantum state. That has led to a link between

neg: Crouch End Hill Hill Park and to the site occupied by Ashmount Primary School from January 2013. (There is also step free access to the Walk by a ramp from Crescent Road.) Immediately beyond the bridge there is a T junction with Hornsey Lane joining from the right with Crouch End Hill continuing straight on down the other side of the ridge, now in the London Borough of Islington and now Hornsey Rise. Crouch End Hill Crouch End Hill is a street in north London, England, running between Crouch End and Hornsey Rise in the boroughs of Haringey and Islington. It is not

neg: Brownian bridge of a Wiener process path by computer simulation. It is now desired to fill in additional points in the interval [0,T], that is to interpolate between the already generated points "W"(0) and "W"(T). The solution is to use a Brownian bridge that is required to go through the values "W"(0) and "W"(T). For the general case when "B"("t") = "a" and "B"("t") = "b", the distribution of "B" at time "t" ∈ ("t", "t") is normal, with mean and the covariance between "B"("s") and "B"("t"), with "s" < "t" is Brownian bridge A Brownian bridge is a continuous-time stochastic process

neg: Thetford Bridge railway station Thetford Bridge railway station Thetford Bridge railway station served the eastern part of Thetford, Norfolk, England between 1875 and 1953. The railway line between and was proposed by the Bury St Edmunds and Thetford Railway (B&TR) and authorised on 5 July 1865; but the company had problems in raising the necessary money. After assistance was given by the Thetford and Watton Railway (T&WR), the plan was modified, and instead of running to the main station at , a curve was built so that T&WR trains from Swaffham could run directly to the Bury St Edmunds line without reversing at Thetford.

neg: Acton Bridge Acton Bridge Acton Bridge (formerly Acton) is a village and civil parish in Cheshire, England. Located within the unitary authority of Cheshire West and Chester on the River Weaver, it is near the Trent and Mersey Canal at approximately 53˚ 16′ N, 2˚ 36′ W. It has a population of 602, increasing to 631 at the 2011 Census. Acton Bridge is served by its own railway station, operated by London Northwestern, though the service from it is currently limited. Acton Bridge Parish Council meets in the Parish Rooms, generally at 19:30 on the first Monday of the month. There is

neg: Finite topological space topologies on a set with "n" elements. It also lists the number of inequivalent (i.e. nonhomeomorphic) topologies. Let "T"("n") denote the number of distinct topologies on a set with "n" points. There is no known simple formula to compute "T"("n") for arbitrary "n". The Online Encyclopedia of Integer Sequences presently lists "T"("n") for "n" ≤ 18. The number of distinct T topologies on a set with "n" points, denoted "T"("n"), is related to "T"("n") by the formula where "S"("n","k") denotes the Stirling number of the second kind. Finite topological space In mathematics, a finite topological space is a topological space

neg: Jerry Lewis such as Pauline Kael, were dismissive of auteur theory, and others, seeing only absurdist comedy, criticized Lewis for his ambition and "castigated him for his self-indulgence" and egotism. "The total film-maker, so admired in France, made Hollywood uncomfortable, since the system has always operated otherwise." Appreciation of Lewis became a misunderstood stereotype about "the French", and it was often the object of jokes in American pop culture. "That Americans can't see Jerry Lewis' genius is bewildering," says N. T. Binh, a French film magazine critic. Such bewilderment was the basis of the book "Why the French Love Jerry Lewis". In

neg: Saint-Georges, French Guiana isolation of Saint-Georges. It is now possible to drive on a fully paved road from Saint-Laurent-du-Maroni on the Surinamese border to Saint-Georges on the Brazilian border. Following an international treaty between France and Brazil signed in July 2005, the Oyapock River Bridge was built and was opened in March 2017. This bridge is the first land crossing ever opened between France and Brazil, and indeed between French Guiana and the rest of the world (there exists no other bridge crossing the Oyapock River, and no bridge crossing the Maroni River marking the border with Suriname). When the bridge was opened,

neg: Late Middle Japanese to various mergers, /e/, /we/ and /ye/ are all realized as and thus indistinguishable. Traditionally syllables were of (C)V structure. As such, there was no need to distinguish between syllables and morae. However, Chinese loanwords introduced a new type of sound that could end in -m, -n, or -t. This structure is (C)V(C) and is a syllable. The mora is based on the traditional (C)V structure. During this period, syllable final -m and -n were initially distinguished; however, by the end of the Early period, both had merged into /N/. Syllable final -m, -n, -t followed by a vowel or

neg: Tarski's undefinability theorem "N" be the standard structure for "L". Thus ("L", "N") is the "interpreted first-order language of arithmetic." Each sentence "x" in "L" has a Gödel number "g"("x"). Let "T" denote the set of "L"-sentences true in "N", and "T"* the set of Gödel numbers of the sentences in "T". The following theorem answers the question: Can "T"* be defined by a formula of first-order arithmetic? "Tarski's undefinability theorem": There is no "L"-formula "True"("n") that defines "T"*. That is, there is no "L"-formula "True"("n") such that for every "L"-formula "A", "True"("g"("A")) ↔ "A" holds. Informally, the theorem says that given some

neg: 2011 end-of-year women's rugby union tests was a full international test. France also contested a game with Italy. Scotland travelled to Amsterdam to take on the Netherlands after finishing last at this year's Six Nations. That was the largest round of autumn women's rugby internationals ever seen in the game at this time of year, especially in Europe. Assistant referees: n/a n/a Assessor: n/a Assistant referees: Hugo Joly (France) Frédéric Saunier (France) Assessor: n/a Assistant referees: n/a n/a Assessor: n/a Assistant referees: Gert Visser (Netherlands) Darron Wadey (Netherlands) Assessor: Thomas Muldoon (Netherlands) Assistant referees: Clare Daniels (England) Darryl Chapman (England) Assessor: Bob Ockenden (England) Assistant referees:

neg: Madras Mail (film) Madras Mail (film) Madras Mail is a 1936 Indian, Tamil language film directed by C. N. Trivedi. The film featured Battling Mani and T. N. Meenakshi in the lead roles. Sekar (Battling Mani) is a kind hearted young man. He helps people. Meenakshi (T. N. Meenakshi) is the daughter of a Zamindar. There was a clash between them but that blossomed into love. Sekar is trying to get a government job. Murugesan is a minister in the princely state. He wants to marry Meenakshi. He sends Sekar to jail on a false charge. But Sekar escapes from the jail with

neg: Don N. Holt Bridge a Kapstone (formerly MeadWestvaco) paper mill. The bridge was named for Don N. Holt who served in the South Carolina House of Representatives and was in the insurance business. Don N. Holt Bridge The Don N. Holt Bridge (Known locally as "The Dirty Don") is a parallel chord, three-span continuous, modified Warren-type truss bridge that carries Interstate 526 (I-526) over the Cooper River between Charleston and North Charleston. It was built in 1992 by the South Carolina Department of Transportation and was designed by HNTB Corporation. The bridge provides a connection between the communities east of the Cooper River, including

neg: Origin hypotheses of the Croats of the ethnonym from adjectives "*xar-va(n)t" (feminine, rich in women), which derives from the etymology of Sarmatians, the Indo-Aryan "*sar-ma(n)t" (feminine), in both Indo-Iran adjective suffix "-ma(n)t/wa(n)t", and Indo-Aryan and Indo-Iranian word "*sar-" (woman), which in Iranian gives "*har". Another interpretation was given by the scholar Jevgenij Paščenko; he considered that the Croats were a heterogeneous group of people belonging to the Chernyakhov culture, a poly-ethnic cultural mélange of mostly Slavs and Sarmatians, but also Goths, Getae and Dacians. There was happening an interrelation between Slavic and Iranian language and culture, seen for example in the toponymy. As such, under

neg: Don N. Holt Bridge Don N. Holt Bridge The Don N. Holt Bridge (Known locally as "The Dirty Don") is a parallel chord, three-span continuous, modified Warren-type truss bridge that carries Interstate 526 (I-526) over the Cooper River between Charleston and North Charleston. It was built in 1992 by the South Carolina Department of Transportation and was designed by HNTB Corporation. The bridge provides a connection between the communities east of the Cooper River, including Mount Pleasant and Daniel Island, to North Charleston and I-26. It is part of a major hurricane evacuation route for the area. The Don Holt Bridge is adjacent to

neg: Swarkestone Bridge King's highway between Derby and Coventry. This had been the main route between the two cities since before the Norman Conquest, and there had been a river crossing on the site. Swarkestone Bridge is, in total, just under a mile long and has 17 arches (six of which have been unaltered since medieval times); it is built primarily of local sandstone. It is the longest stone bridge in England, and the longest inland bridge in England. The original bridge is thought to have been made of wood, and was then rebuilt in stone at the end of the 13th century.

neg: Sarada Ramudu Sarada Ramudu Sarada Ramudu (English: Crazy Rama) is a 1980 Telugu Action drama film, produced by S. Riyaz Basha under the Saif Enterprises banner and directed by K. Vasu. It stars N. T. Rama Rao, Jayasudha in the lead roles and music composed by Chakravarthy. The film is a remake of the Hindi movie "Junglee" (1961). Madhav (N. T. Rama Rao) is a millionaire who has grown up abroad since childhood. Due to some reasons, his mother Suvarchala Devi (S. Varalakshmi) raised him away in very disciplined and stubborn atmosphere, that's why he doesn't know even how to laugh. Madhav

neg: Time complexity "b" if necessary so that "a"≤"b"" is called constant time even though the time may depend on whether or not it is already true that "a" ≤ "b". However, there is some constant "t" such that the time required is always "at most" "t". Here are some examples of code fragments that run in constant time : If "T"("n") is O("any constant value"), this is equivalent to and stated in standard notation as "T"("n") being O(1). An algorithm is said to take logarithmic time when "T"("n") = O(log "n"). Since log "n" and log "n" are related by a constant

neg: Generation time in the next generation (the mother cell and the daughter cell). If the population dynamic is exponential with a growth rate "r" (i.e. "n"("t") ~ α.e, where "n"("t") is the size of the population at time "t"), then this measure of the generation time is given by: Indeed, formula_2 is such that "n"("t" + "T") = "R" "n"("t"), i.e. e = "R". This definition is a measure of the distance between generations rather than a renewal time of the population. Since many demographic models are female-based (that is, they only take females into account), this definition is often expressed as

neg: Sperner's lemma of such triangles. In the general case the lemma refers to a "n"-dimensional simplex We consider a triangulation "T" which is a disjoint division of formula_2 into smaller "n"-dimensional simplices. Denote the coloring function as "f" : "S" → {1,2,3...,"n","n"+1}, where "S" is again the set of vertices of "T". The rules of coloring are: Then there exists an odd number of simplices from "T", whose vertices are colored with all "n+1" colors. In particular, there must be at least one. We shall first address the two-dimensional case. Consider a graph "G" built from the triangulation "T" as follows: Note

neg: Loyn Bridge bridge repairs, significant damage to the hedges and fences along the road between the bridge and Gressingham is apparent. Loyn Bridge Loyn Bridge (or Loyne Bridge) crosses the River Lune, carrying a minor road between the villages of Hornby and Gressingham in Lancashire, England. The present bridge replaces an older bridge, which is thought to have been constructed with timber decking between stone piers. There is evidence that the river was forded here before a bridge was built. The date of the building of the present bridge is unknown; it is considered to have been after 1591, when the previous

neg: 2014 Women's Six Nations Championship Assistant referees: Cédric Jouvenoz (France) Thomas Chereque (France) Assessor: Wayne Erickson (Australia) Assistant referees: Chris Williams (Wales) Stuart Kibble (Wales) Assessor: n/a Assistant referees: Helen O'Reilly (Ireland) Aoife McCarthy (Ireland) Assessor: n/a Assistant referees: Maxime Rouquie (France) Joachim Régis (France) Assessor: Carlos Molinari (Argentina) Assistant referees: Alex Pratt (Scotland) Don MacPherson (Scotland) Assessor: Wayne Erickson (Australia) Assistant referees: Claire Hodnett (England) Tracey Pettingale (England) Assessor: Michel Lamoulie (France) Assistant referees: Maria Beatrice Benvenuti (Italy) Maria Giovanna Pacifico (Italy) Assessor: Kate Todd (United States) Assistant referees: Greg Morgan (Wales) Francesca Martin (Wales) Assessor: n/a Assistant referees: Sara Cox (England) Tracy Pettingale

neg: Equidissection particular, what is the smallest possible difference between the areas of the smallest and largest triangles? Let the smallest difference be "M"("n") for a square and "M"("a", "n") for the trapezoid "T"("a"). Then "M"("n") is 0 for even "n" and greater than 0 for odd "n". gave the asymptotic upper bound "M"("n") = O(1/"n") (see Big O notation). improves the bound to "M"("n") = O(1/"n") with a better dissection, and he proves that there exist values of "a" for which "M"("a", "n") decreases arbitrarily quickly. obtain a superpolynomial upper bound, derived from an explicit construction that uses the Thue–Morse sequence.

neg: Turán number contains a block. The Turán number T("n","k","r") is the minimum size of such a system. The complements of the lines of the Fano plane form a Turán (7,5,4)-system. T(7,5,4) = 7. It can be shown that Equality holds if and only if there exists a Steiner system S("n" - "k", "n" - "r", "n"). An ("n","r","k","r")-lotto design is an ("n", "k", "r")-Turán system. Thus, T("n","k", "r") = L("n","r","k","r"). Turán number In mathematics, the Turán number T("n","k","r") for "r"-uniform hypergraphs of order "n" is the smallest number of "r"-edges such that every induced subgraph on "k" vertices contains an edge. This

neg: Leiningers Run into the Geographic Names Information System on August 2, 1979. Its identifier in the Geographic Names Information System is 1179173. A steel stringer/multi-beam or girder bridge carrying T-524 over Leiningers Run was constructed in 1930 and repaired in 2005. This bridge is long. A two-span bridge of the same type, but carrying T-415 across the stream, was built in 1939 and is long. The drainage basin of Leiningers Run is designated as a Coldwater Fishery and a Migratory Fishery. The stream's designated use is aquatic life. There is a block of forested land with an area between near the headwaters

neg: Regular tree grammar is known as the language of "G". More formally, the relation ⇒ on the set "T"("N") is defined as follows: A tree "t"∈ "T"("N") can be derived in a single step into a tree "t" ∈ "T"("N") (in short: "t" ⇒ "t"), if there is a context "S" and a production ("A"→"t") ∈ "P" such that: Here, a "context" means a tree with exactly one hole in it; if "S" is such a context, "S"["t"] denotes the result of filling the tree "t" into the hole of "S". The tree language generated by "G" is the language "L"("G") = {

neg: Oblivious data structure height h(T) of T is the maximum depth of a node in T, and the size |T| of T is the number of nodes in T. A complete tree T is a tree with 2 nodes. There are four memory layouts for static trees: DFS, inorder, BFS and van Emde Boas tree layouts. Using the structure to sort n elements, it uses (1 +ε )n times the element size of memory, and performs searches in worst case O(logn) memory transfers, updates in amortized O((log n)= (εB)) memory transfers, and range queries in worst case O(log n+ k=B) memory transfers, where

neg: Merge sort "T"("n"), then the recurrence "T"("n") = 2"T"("n"/2) + "n" follows from the definition of the algorithm (apply the algorithm to two lists of half the size of the original list, and add the "n" steps taken to merge the resulting two lists). The closed form follows from the master theorem for divide-and-conquer recurrences. In the worst case, the number of comparisons merge sort makes is given by the sorting numbers. These numbers are equal to or slightly smaller than ("n" ⌈lg "n"⌉ - 2 + 1), which is between ("n" lg "n" - "n" + 1) and ("n" lg "n"

neg: Interval edge coloring "G" has an "i"-property if there is a proper edge "t"-coloring of "G" which is interval over "R". If a triangle-free graph G=(V,E) has an interval t-coloring, then t ≤ |V|−1.In Asratian and Kamalian proved if G is interval color-able then χ'(G)=∆(G). Petrosyan investigated interval colorings of complete graphs and n-dimensional cubes and showed if n ≤ t ≤ n(n+1)/2,then the n-dimensional cube Qn has an interval t-coloring. Axenovich proved that all outerplanar triangulations with more than three vertices and without separating triangles are interval colorable. If "G" is regular graph w(G)=∆(G) and G has an interval t-coloring for every

neg: Foliation is compact, nonempty, and a union of flow lines. If formula_84 there is a value "t"* ∈ R such that Φ("z") ∈ "N" and it follows that Since "N" is compact and formula_50 is transverse to "N", it follows that the set {"t" > 0 | Φ("y") ∈ N} is a monotonically increasing sequence formula_87 that diverges to infinity. As "y" ∈ "N" varies, let τ("y") = τ("y"), defining in this way a positive function τ ∈ "C"("N") (the first return time) such that, for arbitrary "y" ∈ "N", Φ("y") ∉ "N", 0 < "t" < τ("y"), and Φ("y") ∈

neg: Morell Bridge Morell Bridge The Morell Bridge is an arch bridge over the Yarra River in South Yarra, Melbourne, Victoria, Australia. Completed in 1899 by John Monash and J. T. N. Anderson, it is notable as the first bridge in Victoria that was built using reinforced concrete. It features decorations on the three arch spans, including large dragon motifs and ornamental Victorian lights. The gutters on the bridge are cobbled bluestone, with a single lane bitumen strip running down the middle. The Bridge is listed on the Victorian Heritage Register. Originally known as the Anderson Street bridge, it was named the Morell

neg: Toxoplasmosis occurring from ages 25–30 observed in females only. Although a mechanism supporting the association between schizophrenia and "T. gondii" infection is unclear, studies have attempted to discern a molecular mechanism to explain the correlation. Antipsychotic drugs used in schizophrenia appear to inhibit the replication of "T. gondii" tachyzoites in cell culture. Provided there is in fact a causal link between "T. gondii" and schizophrenia, studies have yet to determine why some individuals with latent toxoplasmosis develop schizophrenia while others do not, however, some plausible explanations include differing genetic susceptibility, parasite strain differences, and differences in the route of the acquired

neg: T. N. Pearce's XI Essex between 1933 and 1950 and was an England Test selector for many years after his retirement from playing. Before Pearce took on the organisation of the side, a similar match had been organised at the Scarborough Festival by H. D. G. Leveson-Gower, and before Leveson-Gower by Charles Thornton. Further matches were played in the 1976 and 1978 seasons, but the festival then lapsed for a few years and when it was revived in the 1980s, the scratch side was first organised (and sometimes led) by Brian Close and then by the TV personality Michael Parkinson. T. N. Pearce's XI

neg: Riemann hypothesis formula for θ. They are usually numbered as "g" for "n" = 0, 1, ..., where "g" is the unique solution of θ("t") = "n"π. Gram observed that there was often exactly one zero of the zeta function between any two Gram points; Hutchinson called this observation Gram's law. There are several other closely related statements that are also sometimes called Gram's law: for example, (−1)"Z"("g") is usually positive, or "Z"("t") usually has opposite sign at consecutive Gram points. The imaginary parts γ of the first few zeros (in blue) and the first few Gram points "g" are given in

neg: Catholic Church in Jersey Catholic Church in Jersey The Catholic Church in Jersey is part of the worldwide Catholic Church, under the spiritual leadership of the Pope in Rome. Sometime between 535 and 545 Helier, who was to become Jersey's patron saint, went to the island and brought the gospel, which is why he is revered there. The island of Jersey remained part of the Duchy of Normandy until 1204 when King Philip II Augustus of France conquered the duchy from King John of England. The islands remained in the personal possession of the king and were described as being a Peculiar of the

neg: Magic hexagon can be called a T-hexagon and it has many more properties than the hexagon of hexagons. As with the above, the rows of triangles run in three directions and there are 24 triangles in a T-hexagon of order 2. In general, a T-hexagon of order "n" has formula_10 triangles. The sum of all these numbers is given by: If we try to construct a magic T-hexagon of side "n", we have to choose "n" to be even, because there are rows so the sum in each row must be For this to be an integer, "n" has to be even.

neg: Combinatory logic (NEGATION ABSURDUM), for Because N is supposed to be complete either: Hence (N ABSURDUM) is neither T nor F, which contradicts the presupposition that N would be a complete non trivial predicate. Q.E.D. From this undecidability theorem it immediately follows that there is no complete predicate that can discriminate between terms that have a normal form and terms that do not have a normal form. It also follows that there is no complete predicate, say EQUAL, such that: If EQUAL would exist, then for all "A", "λx."(EQUAL "x A") would have to be a complete non trivial predicate. David Turner

neg: Battle of Taillebourg Battle of Taillebourg The Battle of Taillebourg was a 1242 battle between the Capetian troops of Louis IX and his brother Alphonse of Poitiers, against the rebel followers of Hugh X of Lusignan and king Henry III of England. The battle was fought on the bridge built over the Charente River, a point of strategic importance on the route between northern and southern France, and later fought near the city of Saintes. The battle resulted in a decisive victory for the French, and the end to the Poitevin revolt, but in territorial status quo between England and France. By the

neg: Loyn Bridge Loyn Bridge Loyn Bridge (or Loyne Bridge) crosses the River Lune, carrying a minor road between the villages of Hornby and Gressingham in Lancashire, England. The present bridge replaces an older bridge, which is thought to have been constructed with timber decking between stone piers. There is evidence that the river was forded here before a bridge was built. The date of the building of the present bridge is unknown; it is considered to have been after 1591, when the previous bridge was described as being "in a dangerous condition". A date of 1684 has been suggested, but petitions regarding

neg: Virtual work "δW" associated with this nearby path, known as the "virtual work", can be computed to be If there are no constraints on the motion of "P", then 6 parameters are needed to completely describe "Ps position at any time "t". If there are "k" ("k" ≤ 6) constraint forces, then "n" = (6 - "k") parameters are needed. Hence, we can define "n" generalized coordinates "q" ("t") ("i" = 1, 2, ..., "n"), and express r("t") and "δr="εh"'("t") in terms of the generalized coordinates. That is, Then, the derivative of the variation "δr="εh("t") is given by then we have The

neg: Savitch's theorem algorithm for STCON, the problem of determining whether there is a path between two vertices in a directed graph, which runs in formula_3 space for "n" vertices. The basic idea of the algorithm is to solve recursively a somewhat more general problem, testing the existence of a path from a vertex "s" to another vertex "t" that uses at most "k" edges, where "k" is a parameter that is given as input to the recursive algorithm; STCON may be solved from this problem by setting "k" to "n". To test for a "k"-edge path from "s" to "t", one may

neg: 3x + 1 semigroup of the 3"x" + 1 semigroup have been constructed and their properties have been investigated. The 3"x" + 1 semigroup is the multiplicative semigroup of positive rational numbers generated by the set The function "T" : "Z" → "Z", where "Z" is the set of all integers, as defined below is used in the "shortcut" definition of the Collatz conjecture: The Collatz conjecture asserts that for each positive integer "n", there is some iterate of "T" with itself which maps "n" to 1, that is, there is some integer "k" such that "T"("n") = 1. For example if "n" =

neg: Little Sutton, Lincolnshire Princes Foods. In December 2001, when known as Premier International Foods, food scientists at the plant created the world's first 'chips in a can' meal, costing 99p each. The team was headed by Dr Malcolm Crouchman. The items were marketed as "Omelette, Chips 'N' Beans" and "Beef Grill 'N' Chips". The civil parish is contained within the religious parish of St Mary, Long Sutton. Little Sutton, Lincolnshire Little Sutton is a small civil parish, containing a few farms, situated between the much larger parishes of Long Sutton and Sutton Bridge, in Lincolnshire, England. For Parliamentary, County, and District elections it

neg: John T. Loughran Bridge John T. Loughran Bridge The John T. Loughran Bridge carries U.S. Route 9W (US 9W) over Rondout Creek between Kingston and Port Ewen, New York, United States. It also crosses over Ferry Street on the Kingston side. It is located just downriver from the historic Kingston-Port Ewen Suspension Bridge, which carried 9W until the Loughran Bridge was constructed. It is just upriver from where the Rondout empties into the Hudson River. It is a continuous girder bridge with four spans, totalling in length. In 1979, upon its opening, it was dedicated and named for John T. Loughran, a Kingston native

neg: Château d'Ételan or "sheer". Many farmers from the Danelaw had settled in Normandy with the Danes in the 10th century, which explains why there are typical Old English place name elements in the Norman toponymy, for example: "croft" > "crot" > croc(q): Vannecrocq ("Wanescrotum" 11th century) = Walshcroft, Lincolnshire or "stān" > "esta(i)n, éta(i)n": Fatouville-Grestain ("Grestano" 11th century) = Garston, Hertfordshire ("Grestan" 11th century) 'great stone', etc. Simon the Norman is well known in England from the story of his dismissal and disgrace by Henry III early in 1240, but less as Master Simon of "Steland" (or "Steyland", de "Esteilant", de "Esteyland")

neg: Fender Jaguar such as Scott Hill, John Squire, Kurt Cobain, Kevin Shields, Black Francis, J Mascis, Brian Molko, Thurston Moore, and John Frusciante. Despite this, Jaguars still fetch considerably less than Telecasters and Stratocasters of similar vintage. One of the reasons why the Jaguar was used by indie rock artists is the sonic possibilities offered by the bridge construction. The bridge and vibrato unit of the Jaguar and the Jazzmaster help produce sympathetic resonance since there is a considerable length of string between the bridge and the tailpiece. On top of that, when the strings are strummed behind the bridge, a characteristic

neg: 2015 Women's Six Nations Championship referees: Jamie Morgan (Wales) Alun Emmanuel (Wales) Assessor: n/a Assistant referees: Helen O'Reilly (Ireland) Dermot Blake (Ireland) Assessor: n/a Assistant referees: Alex Pratt (Scotland) Alexandra Gordon-Smith (Scotland) Assessor: n/a Assistant referees: Sara Cox (England) Nikki O'Donnell (England) Assessor: n/a Assistant referees: Joy Neville (Ireland) John Carvill (Ireland) Assessor: n/a Assistant referees: Christine Hanizet (France) Marie Lematte (France) Assessor: n/a Assistant referees: Mhairi Hay (Scotland) Kelly Mitchell (Scotland) Assessor: n/a Assistant referees: Sarah Toll Matthew Daubney Assessor: Trevor Fisher Assistant referees: Barbara Guastini (Italy) Francesca Giuliani (Italy) Assessor: n/a Assistant referees: Stuart Kibble (Wales) Steff Edwards (Wales) Assessor: n/a Assistant referees:

neg: Grothendieck inequality Grothendieck inequality In mathematics, the Grothendieck inequality states that there is a universal constant "k" with the following property. If "a" is an "n" by "n" (real or complex) matrix with for all (real or complex) numbers "s", "t" of absolute value at most 1, then for all vectors "S", "T" in the unit ball "B"("H") of a (real or complex) Hilbert space "H", the constant "k" being independent of "n". For a fixed "n", the smallest constant which satisfies this property for all "n" by "n" matrices is called a Grothendieck constant and denoted "k"("n"). In fact there are

neg: Tag SNP a single highly correlated tag SNP t is found, the alleles are assigned so their frequencies agree with the allele frequencies of t. When multiple tagging SNPs have the same (high) correlation coefficient with n, the common allele of n has advantage. It is easy to see that in this case the prediction method agrees well with the selection method, which uses PCA on the matrix of correlation coefficients between SNPs. There are other ways to assess the accuracy of a tag SNP selection method. The accuracy can be evaluated by the quality measure R2, which is the measure of

neg: John T. Loughran Bridge to the city. John T. Loughran Bridge The John T. Loughran Bridge carries U.S. Route 9W (US 9W) over Rondout Creek between Kingston and Port Ewen, New York, United States. It also crosses over Ferry Street on the Kingston side. It is located just downriver from the historic Kingston-Port Ewen Suspension Bridge, which carried 9W until the Loughran Bridge was constructed. It is just upriver from where the Rondout empties into the Hudson River. It is a continuous girder bridge with four spans, totalling in length. In 1979, upon its opening, it was dedicated and named for John T. Loughran,

neg: A34 Road Bridge links the bridge to a bridge carrying the A34 over the local road between Wytham and Wolvercote. To the north the bridge is linked by the embankment to the Wolvercote Viaduct that carries the A34 across the Cherwell Valley Line railway, the Oxford Canal and the A40 road. Between 2008 and 2010 there was a major project to replace the viaduct with a new bridge. The bridge over the Thames was not replaced. A34 Road Bridge The A34 Road Bridge is a modern road bridge carrying the Oxford ring road (A34 road) at Oxford, England, across the River Thames. It

neg: Cheap talk to be as close to "t" as possible, we can show that quite intuitively the optimal action is the middle of the interval: formula_4 Indifference condition. What happens at "t = t"? The sender has to be indifferent between sending either message "m" or "m". formula_5 "1 ≤ i≤ N-1" This gives information about "N" and the "t". "→ Practically:" We consider a partition of size "N". One can show that formula_6 "N" must be small enough so that the numerator is positive. This determines the maximum allowed value formula_7 where formula_8 is the ceiling of formula_9, i.e. the smallest

neg: Loss network sufficient capacity remaining on all the required links the call is accepted and occupies the network for an exponentially distributed length of time with parameter 1. If there is insufficient capacity on any individual link to accept the call it is rejected (lost) from the network. Write "n"("t") for the number of calls on route "r" in progress at time "t", "n"("t") for the vector ("n"("t") : "r" in "R") and "C" = ("C", "C", ... , "C"). Then the continuous-time Markov process "n"("t") has unique stationary distribution where and From this result loss probabilities for calls arriving on different

neg: Cabibbo–Kobayashi–Maskawa matrix "t". Since the CKM matrix is unitary, its inverse is the same as its conjugate transpose. To proceed further, it is necessary to count the number of parameters in this matrix, "V" which appear in experiments, and therefore are physically important. If there are "N" generations of quarks (2"N" [[flavour (particle physics)|flavour]]s) then For the case "N" = 2, there is only one parameter which is a mixing angle between two generations of quarks. Historically, this was the first version of CKM matrix when only two generations were known. It is called the Cabibbo angle after its inventor [[Nicola Cabibbo]].

neg: Moorabool River 1900 by John Monash and J. T. N. Anderson, the three arch bridge being the largest Monier reinforced concrete bridge in world at the time. In 1970 a new bridge was built on the site of the old wooden bridge to cater for heavier traffic on the Hamilton Highway, the 1900 bridge retained for pedestrians. Work on the Geelong Ring Road bridge commenced in late 2006. Costing $15.5 million, it carries four lanes of traffic and is the largest bridge on the road featuring 70 beams and 12 piers. The final span was installed on March 6, 2008. It has

neg: Fractional Brownian motion to a smoother motion. It was introduced by . The value of "H" determines what kind of process the "fBm" is: The increment process, "X"("t") = "B"("t"+1) − "B"("t"), is known as fractional Gaussian noise. There is also a generalization of fractional Brownian motion: "n"-th order fractional Brownian motion, abbreviated as n-fBm. n-fBm is a Gaussian, self-similar, non-stationary process whose increments of order "n" are stationary. For "n" = 1, n-fBm is classical fBm. Like the Brownian motion that it generalizes, fractional Brownian motion is named after 19th century biologist Robert Brown; fractional Gaussian noise is named after mathematician Carl

neg: Gregorian Institute of Paris thanks to the support of the new Archbishop of Paris since 1920, Louis-Ernest Dubois, and above all to the support of the monks of the Solesmes Abbey, who returned to France after their long exile to Quarr Abbey in England. That is why, taking advantage of this success, the Gregorian Institute in Paris was founded under the protection of the Cardinal. Dom Joseph Gajard of Solesmes was in charge of teaching Gregorian chant there for two years, between Wednesday and Friday. Two years later, a former student of the Schola Cantorum de Paris, Auguste Le Guennant, succeeded him, not only

neg: O'Nan–Scott theorem = Δ where Δ = "T" and "G"≤ "H"wr"S" where "H" is a primitive group of type HS on Δ. TW (twisted wreath): Here "G" has a unique minimal normal subgroup "N" and "N" ≅ "T" for some finite nonabelian simple group "T" and "N" acts regularly on Ω. Such groups can be constructed as twisted wreath products and hence the label TW. The conditions required to get primitivity imply that "k"≥ 6 so the smallest degree of such a primitive group is 60 . AS (almost simple): Here "G" is a group lying between "T" and Aut("T" ), that

neg: Tarski's undefinability theorem "T"*. That is, there is no "L"-formula "True"("n") such that for every "L"-formula "A", "True"("g"("A")) ↔ "A" is itself true in "N". The proof of Tarski's undefinability theorem in this form is again by reductio ad absurdum. Suppose that an "L"- formula "True"("n") defines "T"*. In particular, if "A" is a sentence of arithmetic then "True"("g"("A")) holds in "N" if and only if "A" is true in "N". Hence for all "A", the Tarski "T"-sentence "True"("g"("A")) ↔ "A" is true in "N". But the diagonal lemma yields a counterexample to this equivalence, by giving a "Liar" sentence "S" such that

neg: Newcastle & Carlisle Railway line through before rejoining the former N&CR Redheugh branch at Derwenthaugh crossing the King Edward VII Bridge. The Scotswood bridge and the line to it was closed to all traffic from 4 October that year. Part of the northern side of the line towards Central remained in use to serve a cement terminal at Elswick until 1986. Today the Tyne Valley Line follows much of the former N&CR route between the two cities. The line is double track with fourteen intermediate stations; it is not electrified. The train service is provided by Northern and Abellio ScotRail. There are (2015) typically

neg: Supermatrix ("r"|"s")×("p"|"q") can then be thought of as a right "R"-linear map where the action of "T" on "R" is just supermatrix multiplication (this action is not generally left "R"-linear which is why we think of "R" as a "right" supermodule). Let "M" be free right "R"-supermodule of rank "p"|"q" and let "N" be a free right "R"-supermodule of rank "r"|"s". Let ("e") be a free basis for "M" and let ("f") be a free basis for "N". Such a choice of bases is equivalent to a choice of isomorphisms from "M" to "R" and from "N" to "R". Any (ungraded)

neg: Skerton Bridge in 1783. The bridge is constructed in sandstone ashlar. It consists of five semi-elliptical arches with piers that are articulated by aedicules formed by attached Tuscan columns supporting pediments; it has a balustraded parapet. The semi-elliptical arches allow it to have a flat road deck. Each of the five original arches spans , and the deck between the parapets is wide. There are stormwater channels in the spandrels between the arches and at the abutments. Skerton Bridge was the first large public bridge in England to have a flat rather than a bowed roadway. There had been earlier bridges elsewhere

neg: Bessel process origin the initial condition is "X" = 0. A notation for the Bessel process of dimension started at zero is . For "n" ≥ 2, the "n"-dimensional Wiener process is transient from its starting point: with probability one, i.e., "X" > 0 for all "t" > 0. It is, however, neighbourhood-recurrent for "n" = 2, meaning that with probability 1, for any "r" > 0, there are arbitrarily large "t" with "X" < "r"; on the other hand, it is truly transient for "n" > 2, meaning that "X" ≥ "r" for all "t" sufficiently large. For "n" ≤ 0,

neg: Neural coding Peri-Stimulus-Time Histogram (PSTH). The time t is measured with respect to the start of the stimulation sequence. The Δt must be large enough (typically in the range of one or a few milliseconds) so there are sufficient number of spikes within the interval to obtain a reliable estimate of the average. The number of occurrences of spikes n(t;t+Δt) summed over all repetitions of the experiment divided by the number K of repetitions is a measure of the typical activity of the neuron between time t and t+Δt. A further division by the interval length Δt yields time-dependent firing rate r(t)

neg: Finite volume method for three-dimensional diffusion problem represent north), ‘S’ (which represent south), ‘T’ (which represent Top), ‘B’ (which represent bottom). In the considered control volume east side face is referred by ‘e’, west side face is referred by ‘w’, north side face is referred by ‘n’, south side face is referred by ‘s’, top side face is referred by ‘t’, bottom side face is referred by ‘b’. 5. Now the distance between nodes W and P, between nodes P and E, between nodes P and N, between nodes S and P, between nodes P and T, between nodes B and P are denoted as formula_15respectively. Discretisation:

neg: Angers Bridge penetrate and corrode the wires. The disaster led France to abandon suspension bridges until 1870. There had been similar failures elsewhere, such as that at Great Yarmouth in England in May 1845, when 79 people were killed by the fall of the main deck. The fall of the Angers bridge raised serious questions about the integrity of suspension bridges, and some engineers (such as John A. Roebling) used reinforced decks in future structures such as the Brooklyn bridge. Louis Vicat reported in 1853 on the problems with the anchorages, and all other similar bridges in France had to be carefully

neg: Dual abelian variety "T" the set of families of degree 0 line bundles on "T" and to each "k"-morphism "f": "T" → "T"' the mapping induced by the pullback with "f", is representable. The universal element representing this functor is the pair ("A", "P"). This association is a duality in the sense that there is a natural isomorphism between the double dual "A" and "A" (defined via the Poincaré bundle) and that it is contravariant functorial, i.e. it associates to all morphisms "f": "A" → "B" dual morphisms "f": "B" → "A" in a compatible way. The "n"-torsion of an abelian variety and

neg: Relational Model/Tasmania entity type called "designative". Although Codd writes nothing about this new type, Date offers a rationale in Date (1983, page 262). Date revised this 1983 article in Date (1995), which additionally compares the RM/T model with the E/R model. Following a disappointing uptake of RM/T by the database industry, Codd decided to introduce the RM/T model more gradually. He planned to release a sequence of RM versions: RM/V2, RM/V3 etc. each time progressively including some of the ideas of the original RM/T into the new version. Perhaps this explains why there is no obvious mapping of concepts between RM/T and

neg: High Bridge, Lincoln the bridge has contributed to floods in Lincoln and after any heavy rain the bridge is virtually unnavigable, which may be why it got its name. A design by William Jessop in the 19th century to reroute the waters of the Witham through the south of the town was never implemented. High Bridge, Lincoln The High Bridge in Lincoln, England, is the oldest bridge in the United Kingdom which still has buildings on it. The bridge was built about 1160 AD and a bridge chapel was built dedicated to Thomas Becket in 1235 on the east side of the bridge.

neg: Principle of transformation groups is the probability of Tails?". Call this "problem 2" and denote this probability by "P(T|I)". Now from the information which was actually in the question, there is no distinction between heads and tails. The whole paragraph above could be re-written with "Heads" and "Tails" interchanged, and "H" and "T" interchanged, and the problem statement would not be any different. Using the desideratum then demands that formula_1 The probabilities must add to 1, this means that formula_2. Thus we have a unique solution. This argument easily extents to "N" categories, to give the "flat" prior probability "1/N". This provides a "consistency"

neg: London Bridge station the early 1970s the station could no longer cope with the volume of traffic. Between 1972 and 1978, BR significantly redeveloped the station and its approaches. This included a £21 million re-signalling scheme, and a new station concourse designed by N. D. T. Wikeley, regional architect for the Southern Region. This was opened 14 December 1978. New awnings were added over the former SER platforms, but the arched Brighton roof was left. It has been described by "The Oxford companion to British Railway History" as "one of the best modern station reconstructions in Britain". Patronage to London Bridge tailed off

neg: Jean de Montereul gave the opinion that the Elector Palatine would have to pass into France incognito, to go to command the Duke of Weimar's troops, and seize de Brissac ; this was why he was pursued there, and why the Elector was stopped on his journey.". In November 1637 when Bellièvre was appointed ambassador to the Court of St James, Montereul joined him at Charles I of England|Charles I's]] court accepting the post of secretary to the ambassador. He stayed in London as chargé d'affaires as when Bellièvre left in late January 1640, returning to France himself in early summer 1641 when

neg: Hunter–Saxton equation field of unit vectors n("x","y","z","t"). For nematic liquid crystals, there is no difference between orienting a molecule in the n direction or in the −n direction, and the vector field n is then called a "director field". The potential energy density of a director field is usually assumed to be given by the Oseen–Frank energy functional where the positive coefficients formula_3, formula_4, formula_5 are known as the elastic coefficients of splay, twist, and bend, respectively. The kinetic energy is often neglected because of the high viscosity of liquid crystals. Hunter and Saxton investigated the case when viscous damping is ignored

neg: T & N on October 31 by Rat Pak Records. In support of "Slave to the Empire", T & N went on tour in late 2012, playing shows in the United States, eastern Asia and Europe between October and December. According to Lynch, the band has recorded music for another album, though the release date is undetermined. T & N T & N is an American heavy metal band formed in 2011 by then-current and former members of heavy metal band Dokken. The band, originally named Tooth and Nail, was forced to change their name in March 2012 due to legal concerns, as

neg: Frenet–Serret formulas its arc length, it is now possible to define the Frenet–Serret frame (or TNB frame): From equation (2) it follows, since T always has unit magnitude, that N (the change of T) is always perpendicular to T, since there is no change in direction of T. From equation (3) it follows that B is always perpendicular to both T and N. Thus, the three unit vectors T, N, and B are all perpendicular to each other. The Frenet–Serret formulas are: where formula_7 is the curvature and formula_8 is the torsion. The Frenet–Serret formulas are also known as "Frenet–Serret theorem", and

neg: Pearl Harbor advance-knowledge conspiracy theory a conversation between Roosevelt and Churchill in late November 1941 was analyzed and determined to be fake. There are claims about these conversations; much of this is based on fictional documents, often cited as "Roll T-175" at the National Archives. There is no Roll T-175; NARA does not use that terminology. Pearl Harbor advance-knowledge conspiracy theory The Pearl Harbor advance-knowledge conspiracy theory is the argument that U.S. Government officials had advance knowledge of Japan's December 7, 1941, attack on Pearl Harbor. Ever since the Japanese attack; there has been debate as to how and why the United States had been

neg: Diagonal lemma in the proof is not literally the same as F(°#(ψ)), but is provably equivalent to it in the theory "T". Let "f": N→N be the function defined by: for each "T"-formula θ in one free variable, and "f"("n") = 0 otherwise. The function "f" is computable, so there is a formula Γ"" representing "f" in "T". Thus for each formula θ, "T" proves which is to say Now define the formula β("z") as: Then "T" proves which is to say Now take θ = β and ψ = β(°#(β)), and the previous sentence rewrites to ψ ↔ F(°#(ψ)), which is

neg: Reflexive space vertex, the two children are "t"-separated in the given space norm: Theorem. The Banach space "X" is super-reflexive if and only if for every , there is a number "n"("t") such that every "t"-separated tree contained in the unit ball of "X" has height less than "n"("t"). Uniformly convex spaces are super-reflexive. Let "X" be uniformly convex, with modulus of convexity δ and let "t" be a real number in . By the properties of the modulus of convexity, a "t"-separated tree of height "n", contained in the unit ball, must have all points of level contained in the ball

neg: Time-slot interchange correctly connected. The switching data entered into the ICs is double-buffered. That is, a new switch set-up is shifted-in, and then a single pulse applies the new configuration instantly to all the connected ICs. In a time-slot interchange (TSI) switch, two memory accesses are required for each connection (one to read and one to store). Let T be the time to access the memory. Therefore, for a connection, 2T time will be taken to access the memory. If there are n connections and t is the operation time for n lines, then t=2nT which givesn=t/2T t and n normally come

neg: BMT Broadway Line Plaza during middays, evenings, and weekends. Between April 26, 1986 and May 24, 1987, the N ran express via the Bridge to 57th Street during evenings, nights, and weekends. Afterwards, N service began running local via the Broadway Line during evenings, nights, and weekends, but they still operated over the Manhattan Bridge. On May 24, 1987, when the N and R swapped routes in Queens, there were additional changes in Broadway service. B service during evenings and weekends, stopped switching to the local track north of 34th Street to serve the Astoria Line. Instead, it skipped 49th Street and terminated

neg: Pont de Rei Pont de Rei The Pont de Rei (, , ) is a bridge and border crossing over the Garonne River that connects the Aran Valley of Spain with the Haute-Garonne department of France. The road on the French side is N125, ending in the commune of Fos; on the Spanish side the road is N-230, ending in the municipality of Bausen. In 1515, the "Plan d'Arem" agreement was signed at the crossing between Spanish and French nobles and representatives to guarantee free passage and exchange of goods between the valleys on both sides of the border. A festival was held

neg: River Ouse, Sussex higher level and slightly further to the north, replaced the swing bridge in 1974. It is opened regularly for commercial shipping, near to high tide, but as the bridge carries the A259 road, each opening causes significant traffic congestion. Below the bridge, the river becomes the Port of Newhaven, where there is a ferry terminal for sailings to Dieppe in France, a service which has been running since 1847. Finally, the river flows into the English Channel, surrounded on either side by two long breakwater piers. 'Ouse' is a common name for rivers in England, with examples including the Ouse