Els Límits is a Spanish village, a civil parish of the municipality of La Jonquera, situated in the province of Girona, Catalonia, in Spain. As of 2005 its population was of 115, its Spanish name is Los Límites. The origin of village's division is to research in the 17th century when, with the Treaty of the Pyrenees, the frontier line between France and Spain was established between the mountain range of the Pyrenees. Els Límits, which name means "The Borders", is situated on the borders with Languedoc-Roussillon, close to the historical region of Vallespir, its contiguous French twin town, Le Perthus, is situated in the north and west side of the urban area. Part of the main road, Avinguda d'Espanya, is both in France and Spain. Out of the main road, in, situated the checkpoint, the other principal roads are Carrer del Doctor Subiros, Calle del Correc, Carrer de Fàtima and Carrer d'Hannibal, it lies 5 km from La Jonquera, 27 km from Figueres, 35 km from Perpignan/Perpinyà, 63 km from Girona and 160 km from Barcelona.
As a border town between Spain and France, it is composed by trade buildings and it is entirely devoted to the sale of alcohol and other goods which are cheaper than in France. In earlier times, as Le Perthus, it was a convenient centre of contraband. Els Límits, not served by the railway, is crossed by the national road N-II, which continues as Route nationale 9 entering in French territory; the adjacent motorway, AP-7, continues as A9 in France. The nearest motorway's exits are "La Jonquera" and "Le Boulou". Fort de Bellegarde Media related to Els Límits at Wikimedia Commons
Road speed limits are used in most countries to set the maximum speed at which road vehicles may travel on particular stretches of road. Speed limits may be variable and in some places speed is unlimited. Speed limits are indicated on a traffic sign. Speed limits are set by the legislative bodies of nations or provincial governments and enforced by national or regional police or judicial authorities; the first maximum speed limit was the 10 mph limit introduced in the United Kingdom in 1861. The highest posted speed limit in the world is 160 km/h, which applies to two motorways in the UAE. However, some roads have no speed limit for certain classes of vehicles. Most famous are Germany's less congested Autobahns, where automobile drivers have no mandated maximum speed. Measurements from the German state of Brandenburg in 2006 showed average speeds of 142 km/h on a 6-lane section of autobahn in free-flowing conditions. Rural roads on the Isle of Man and the Indian states of Andhra Pradesh and Telangana lack speed limits.
In Europe, speed limits are considered as part of the speed management policy. There are several reasons for wanting to regulate speed on roads, it is done to improve road traffic safety and reduce the number of casualties from traffic collisions. In the World report on road traffic injury prevention report, the World Health Organization identify speed control as one of various interventions to contribute to a reduction in road casualties. Speed limits may be set to reduce the environmental impact of road traffic and to satisfy local community concerns for the safety of pedestrians; some cities have reduced limits to as little as 30 km/h for both efficiency reasons. Sometimes, however changing a speed limit has little effect on the average speed of cars. In situations where the natural road speed is considered too high by governments, notably in urban areas where speed limits are set below 50 km/h traffic calming is also used. For some classes of vehicle, speed limiters may be mandated to enforce compliance.
Since their introduction, speed limits have been opposed by some motoring advocacy groups. The United Kingdom Stage Carriage Act 1832 first introduced the offense of endangering the safety of a passenger or person by'furious driving'; the first numeric speed limits were created in the UK by a series of Locomotive Acts. The Locomotives on Highways Act 1896, which raised the speed limit to 14 mph is celebrated to this day by the annual London to Brighton Veteran Car Run; the first person to be convicted of speeding is believed to be Walter Arnold of East Peckham, who on 28 January 1896 was fined for speeding at 8 mph. He was fined 1 shilling plus costs. In the UK 20 mph speed was allowed in 1903. In Australia, during the early 20th century, there were people reported for "furious driving" offences. One conviction in 1905 cited furiously driving 20 mph when passing a tram traveling at half that speed. In the 1960s, in continental Europe, some speed limit were established based on the V85 speed. Sweden defined the Vision Zero program.
Most jurisdictions use the metric speed unit of kilometers per hour for speed limits, while some the United States and the United Kingdom, use speed limits given in miles per hour. There is an ongoing discussion as to whether they should follow the lead of other countries and switch to using metric units. Main article: Basic Speed Law or Rule. In countries bounded by Vienna Convention on Road Traffic, article 13 defines a basic rule for Speed and distance between vehicles: Every driver of a vehicle shall in all circumstances have his vehicle under control so as to be able to exercise due and proper care and to be at all times in a position to perform all manœuvres required of him, he shall, when adjusting the speed of his vehicle, pay constant regard to the circumstances, in particular the lie of the land, the state of the road, the condition and load of his vehicle, the weather conditions and the density of traffic, so as to be able to stop his vehicle within his range of forward vision and short of any foreseeable obstruction.
He shall slow down and if necessary stop whenever circumstances so require, when visibility is not good. Drivers are required to drive at a safe speed for conditions. In the United States, this requirement is referred to as the basic rule, but more in Britain and elsewhere in common law as the reasonable man requirement; the German Highway Code section on speed begins with a statement which may be rendered in English: Any person driving a vehicle may only drive so fast that the car is under control. Speeds must be adapted to the road, traffic and weather conditions as well as the personal skills and characteristics of the vehicle and load. In France the law clarifies that if speed is limited by law and by local authority, the driver assumes the responsibility to control his vehicle's speed, to reduce speed in various circumstances, such as overtaking a pedestrian, or bicycles, individually or in a group, when overtaking a stoppe
Limit superior and limit inferior
In mathematics, the limit inferior and limit superior of a sequence can be thought of as limiting bounds on the sequence. They can be thought of in a similar fashion for a function. For a set, they are the supremum of the set's limit points, respectively. In general, when there are multiple objects around which a sequence, function, or set accumulates, the inferior and superior limits extract the smallest and largest of them. Limit inferior is called infimum limit, limit infimum, inferior limit, lower limit, or inner limit; the limit inferior of a sequence x n is denoted by lim inf n → ∞ x n or lim _ n → ∞ x n. The limit superior of a sequence x n is denoted by lim sup n → ∞ x n or lim ¯ n → ∞ x n; the limit inferior of a sequence is defined by lim inf n → ∞ x n:= lim n → ∞ or lim inf n → ∞ x n:= sup n ≥ 0 inf m ≥ n x m = sup. The limit superior of is defined by lim sup n → ∞ x n:= lim n → ∞ or lim sup n → ∞ x n:= inf n ≥ 0 sup m ≥ n x m = inf. Alternatively, the notations lim _ n → ∞ x n:= lim inf n → ∞ x n and lim ¯ n → ∞ x n:= lim sup n → ∞ x n are sometimes used.
The limits superior and inferior can equivalently be defined using the concept of subsequential limits of the sequence. A real number ξ is a subsequential limit of if there exists a increasing sequence of natural numbers such that ξ = lim k → ∞ x n k. If E ⊂ R ¯ is the set of all subsequential limits of lim sup n → ∞ x n = sup E and lim inf n → ∞ x n = inf E. If the terms in the sequence are real numbers, the limit superior and limit inferior always exist, as the real numbers together with ±∞ are complete. More these definitions make sense in any ordered set, provided the suprema and infima exist, such as in a complete lattice. Whenever the ordinary limit exists, the limit
The Limit is a Japanese manga series written and illustrated by Keiko Suenobu. This manga focuses on a typical high school junior at Yanno Prefectual High School. A group of high school girls is on their way to an exchange camp when the bus driver passes out and causes the bus to drop from a cliff; the few survivors try to survive until rescue arrives. A live-action drama version of the manga aired on TV Tokyo between July 12, 2013, September 27, 2013. Cast Nanami Sakuraba as Mizuki Konno Tao Tsuchiya as Chieko Kamiya Rio Yamashita as Arisa Morishige Ayano Kudo as Haru Ichinose Yuka Masuda as Chikage Usui Katsuhiro Suzuki as Haruaki Hinata Riho Takada as Sakura Himesawa Masataka Kubota as Wataru Igarashi Ikkei Watanabe as Hirokazu Konno Carlo Santos of Anime News Network gave volume 1 a B−. Rebecca Silverman of ANN, gave it a B. By July 17, 2011, volume 5 had sold 30,934 copies in Japan. By December 18, 2011, volume 6 had sold 32,754 copies in Japan. In the week of October 14 to 20, 2012, volume 1 ranked in second place in the list of The New York Times Manga Best Sellers.
It has sold 10 million copies in Japan. Limit at Anime News Network's encyclopedia TV drama official site
"Limit" is the nineteenth single by Japanese rock band Luna Sea, released on June 22, 2016. It reached number 14 on the Oricon chart and number 19 on Billboard's Japan Hot 100. "Limit" was written to be the opening theme song of the Endride anime after Luna Sea were approached by its staff. Thus it is the band's first work to be tied to an anime. A 30-second commercial for the single utilizing footage of the song's music video was uploaded to YouTube on May 29; the full video was streamed on the band's website for only four hours from 20:00 to 24:00 during a full moon on June 20, 2016. As part of a promotion with the toy company Brokker, each band member had a Lego-like toy modeled after them; the figures served as the basis for a shortened, 3D animated recreation of the music video for "Limit" published on YouTube on September 21. The single's b-side, "I'll Stay With You", was written by Sugizo and features him playing the violin; the single was released in four editions. A special Endride edition includes just the title track and not the b-side.
All four have different cover art. All songs composed by Luna Sea. "Limit" - 4:14Originally composed by J. "I'll Stay With You" - 4:21Originally composed by Sugizo. Commercial for "Limit"
Limit of a function
In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input. Formal definitions, first devised in the early 19th century, are given below. Informally, a function f assigns an output f to every input x. We say the function has a limit L at an input p: this means f gets closer and closer to L as x moves closer and closer to p. More when f is applied to any input sufficiently close to p, the output value is forced arbitrarily close to L. On the other hand, if some inputs close to p are taken to outputs that stay a fixed distance apart, we say the limit does not exist; the notion of a limit has many applications in modern calculus. In particular, the many definitions of continuity employ the limit: a function is continuous if all of its limits agree with the values of the function, it appears in the definition of the derivative: in the calculus of one variable, this is the limiting value of the slope of secant lines to the graph of a function.
Although implicit in the development of calculus of the 17th and 18th centuries, the modern idea of the limit of a function goes back to Bolzano who, in 1817, introduced the basics of the epsilon-delta technique to define continuous functions. However, his work was not known during his lifetime. Cauchy discussed variable quantities and limits and defined continuity of y = f by saying that an infinitesimal change in x produces an infinitesimal change in y in his 1821 book Cours d'analyse, while claims that he only gave a verbal definition. Weierstrass first introduced the epsilon-delta definition of limit in the form it is written today, he introduced the notations lim and limx→x0. The modern notation of placing the arrow below the limit symbol is due to Hardy in his book A Course of Pure Mathematics in 1908. Imagine a person walking over a landscape represented by the graph of y = f, her horizontal position is measured by the value of x, much like the position given by a map of the land or by a global positioning system.
Her altitude is given by the coordinate y. She is walking towards the horizontal position given by x; as she gets closer and closer to it, she notices that her altitude approaches L. If asked about the altitude of x = p, she would answer L. What does it mean to say that her altitude approaches L? It means that her altitude gets nearer and nearer to L except for a possible small error in accuracy. For example, suppose we set a particular accuracy goal for our traveler: she must get within ten meters of L, she reports back that indeed she can get within ten meters of L, since she notes that when she is within fifty horizontal meters of p, her altitude is always ten meters or less from L. The accuracy goal is changed: can she get within one vertical meter? Yes. If she is anywhere within seven horizontal meters of p her altitude always remains within one meter from the target L. In summary, to say that the traveler's altitude approaches L as her horizontal position approaches p means that for every target accuracy goal, however small it may be, there is some neighborhood of p whose altitude fulfills that accuracy goal.
The initial informal statement can now be explicated: The limit of a function f as x approaches p is a number L with the following property: given any target distance from L, there is a distance from p within which the values of f remain within the target distance. This explicit statement is quite close to the formal definition of the limit of a function with values in a topological space. To say that lim x → p f = L, means that ƒ can be made as close as desired to L by making x close enough, but not equal, to p; the following definitions are the accepted ones for the limit of a function in various contexts. Suppose f: R → R is defined on the real line and p,L ∈ R, it is said the limit of f, as x approaches p, is L and written lim x → p f = L, if the following property holds: For every real ε > 0, there exists a real δ > 0 such that for all real x, 0 < | x − p | < δ implies | f − L | < ε. The value of the limit does not depend on the value of f, nor that p be in the domain of f. A more general definition applies for functions defined on subsets of the real line.
Let be an open interval in R, p a point of. Let f be a real-valued function defined on all of except at p itself, it is said that the limit of f, as x approaches p, is L if, for every real ε > 0, there exists a real δ > 0 such that 0 < | x − p | < δ and x ∈ implies | f − L | < ε. Here again the limit does not depend on f being well-defined; the letters ε and δ can be understood as "error" and "distance", in fact Cauchy used ε as an abbreviation for "error" in some of his work, though in his definition of continuity he used an infinitesimal α rather than either ε or δ. In these terms, the error in the measurement of the value at the limit can be made as small as desired by reducing the distance to the limit point; as discussed below this definition works for functions in a more general context. The idea that δ and ε represent distances helps suggest these generalizations. Alternatively x may approach p from