A number is an abstract idea used in the counting and measurement. A symbol that represents a number is called a numeral, but in the common use of the word number is used both for the idea and the symbol. In addition to their use in counting and measurement, numbers are often used to label (phone numbers), in order (serial numbers), and by codes (ISBNs). In mathematics, defining the number has been extended over the years to include such numbers as zero, negative numbers, rational numbers, irrational numbers and complex numbers. On the basis ten number system, in use today almost universal, the symbols for natural numbers are written using ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. On this basis ten system, the right digit of a natural number has a value of a place, and all other figures have a place ten times the value of the place value of the digit to the right. The symbol for the set of all natural numbers is N, also in writing. Negative numbers are numbers that are less than zero. They are the opposite of positive numbers. For example, if a positive number indicates a bank deposit, then a negative number indicates a withdrawal of the same amount. Negative numbers are usually written by writing a negative sign in front of the number they are the opposite of. Thus, the opposite of 7 is written -7. When the number of negative integers are combined with the positive whole numbers and zero, one gets the whole Z (German Zahl, Zahlen plural), also in writing. If the absolute value of m is greater than n, then the absolute value of the fraction is greater than 1. Fractions can be higher, lower or equal to 1 and also can be positive, negative or zero. The set of all fractions includes the whole, since every integer can be written as a fraction with denominator 1. For example -7 can be written -7 / 1. The symbol for rational numbers is Q (per ratio), also in writing. The real numbers include all issues of measurement. Real numbers are usually written using decimal numbers in a decimal point is placed on the right of the digit with a value spot. After the decimal point, each digit is a place value one tenth of the value of the site for the left digit. Thus, represents 1 hundred, 2 dozens, 3 ones, 4 tenths, 5 hundredths, thousandths and 6. In saying the number, the decimal is read "point", thus: "one point two three four five six". In, for example, the E.U. And the United Kingdom, the decimal is represented by a period in continental Europe by a comma. Zero is often written as 0.0 and negative real numbers are written with the first sign: Move to a higher level of abstraction, the real numbers can be extended to complex numbers. This set of figures emerged, historically, from the question of whether a negative number can be a square root. This led to the invention of a new issue: the square root of a negative, denoted by i, a symbol assigned by Leonhard Euler, and called for the imaginary unit. The figures complex consisting of all issues in the way Where a and b are real numbers. In the words + bi, the actual number is called the real part and b is called the imaginary part. If the real part of a complex number is zero, then the number is called an imaginary or is mentioned as purely imaginary; is the imaginary part is zero, then the number is a real number. Thus, the real numbers are a subset of complex numbers. If the real and imaginary parts of a complex number are both whole, then the number is called Gaussian integer. The symbol for the complex numbers is C or. In abstract algebra, complex numbers are an example of a field algebraically closed, which means that every polynomial coefficients with complex can be integrated into linear factors. Like the real number system, the number system is a complex area and is complete, but unlike the real numbers, is not ordained. That is, there is no sense in what I say is more than 1, nor is there any meaning in saying that i is less than 1. In technical terms, the numbers lack the complex trichotomy property. The idea behind p-add numbers is this: While actual numbers may have infinitely long expansions to the right of the decimal point, these numbers allow the infinitely long expansions to the left. The number system, which depends on results that base is used for the digits: any basis is possible, but a system with the best mathematical properties is obtained when the base is a prime number. To deal with infinite collections, the natural numbers were generalized ordinal numbers and the numbers for the Cardinals. The former gave the ordering of the collection, while the second gave his size. For all finite, the cardinal and ordinal numbers are equivalent, but differ in the case infinity. Sets of numbers that are not subsets of the complex numbers include quaternions H, invented by Sir William Rowan Hamilton, which is noncommutative multiplication, and octonions, in which multiplication is not associative. Elements of the function characteristic of finite fields behave, in some respects, such as numbers and are often regarded as serial numbers theoretical. Numbers must be distinguished from numbers, the symbols used to represent numbers. The number five can be represented by both the base in December numeral'5 'and the Roman numeral' V '. Ratings used to represent numbers are discussed in Article numeral systems. An important development in the history of numbering has been the development of a positional system, as the modern decimal, which can represent a large number. The Roman numerals require extra symbols for larger numbers. It is speculated that the first use of numbers known dates back to around 30000 BC, bones or other artifacts were discovered with cut marks where they are often considered registration marks. The use of these marks record were suggested to be something of counting time, such as numbers of days, or keep records of the amounts. Tallying systems have no concept of the place of value (as currently used in decimal notation), which limit its representation of a large number and, as such, is often considered that this is the first kind of abstract system that would be used, and could be Considered a system numbers. The use of zero as the number should be distinguished from its use as a placeholder numeral instead of value systems. Many ancient Indian texts using a Sanskrit word Shunya to refer to the concept of invalidity; in mathematics texts that word would often be used to refer to the number zero. [2]. Similarly, Pāṇini (5 th century BC) used the zero (zero) operator (ie a production lambda) in the Ashtadhyayi, algebraic their grammar for the language Sanskrit. (See also Pingala) records show that the ancient Greeks seemed unsure about the status of zero as a number: they asked themselves "how can" nothing "is a thing?" Taking interesting and philosophical, the medieval period, religious arguments about the nature and the existence of zero in the vacuum. The paradoxes of Zeno of Elea depend in large part on the interpretation of zero uncertain. (The ancient Greeks until 1 has been questioned whether a paragraph.) The late Olmec people of south-central Mexico began using a true zero (a shell glyph) in the New World possibly through the 4 th century BC, but certainly in 40 BC, which became an integral part of Maya numerals and the Maya calendar, but not influenced Old World numeral systems. By 130, Ptolemy, influenced by Hipparchus and the Babylonians, was using a symbol for zero (a small circle with a long overbar) within a system sexagesimal numeral one using alphabetical Greek numerals. Because it was used alone, not as just a space, this Hellenistic zero was the first documented use of a real zero in the Old World. In later Byzantine manuscripts of his Syntaxis Mathematica (Almagest), the Hellenistic zero had morphed the Greek letter omicron (another meaning 70). Another true zero was used in tables alongside Roman numerals by 525 (first use known as Dionysius Exiguus), but as a word, nulla meaning nothing, not as a symbol. When division produced zero as a remainder, nihil, also meaning nothing, was used. These medieval zeros were used by all future medieval computists (calculators of Easter). An isolated use of their initial, N, was used in a table of Roman numerals by Bede or a colleague about 725, a true zero symbol. One of the first documented use of zero by Brahmagupta (Brahmasphutasiddhanta) dates to 628. He treated zero as a number and discussed operations involving including division. At this time (7th century), the concept had clearly reached Cambodia, and documentation shows the idea later spreading to China and the Islamic world. During the 600s, negative numbers were in use in India to represent debts. Diophantus' reference has been discussed more explicitly by Indian mathematician Brahmagupta, in the Brahma-Sphuta-Siddhanta 628, which used to produce the negative numbers in general quadratic formula that remains in use today. However, the century 12 in India, Bhaskara gives negative roots of quadratic equations, but says that the negative value "is, in this case, not to be taken as it is inadequate; people do not approve of negative roots." It is likely that the concept of fractional numbers dates from pre-historic times. Even the ancient Egyptians wrote math texts describing how to convert fractions in particular its overall rating. Classic Greek and Indian studies made of the mathematical theory of rational numbers, as part of the global study of number theory. The best known is Euclid's Elements, which dates from about 300 BC. Do Indian texts, the most relevant is the Sthananga Sutra, which also covers number theory as part of a general study of mathematics. The concept of decimal fractions is closely related to the decimal value notation, the two seem to have developed in tandem. For example, it is common for mathematics Jain sutras to include calculations of approximations a decimal fraction-pi or the square root of two. Similarly, Babylonian mathematics texts had always used sexagesimal fractions with great frequency. In the sixteenth century, the acceptance by Europeans of negative final, integral and fractional numbers. XVII Century saw decimal fractions with the modern notation quite often used by mathematicians. But it was not until the nineteenth century that the irrationals have been split into algebraic and transcendental parts, and a scientific study of the theory of irrationals was taken once more. He had remained almost dormant since Euclid. The year 1872 saw the publication of the theories of Karl Weierstrass theorems (for his pupil Kossak), Heine (Crelle, 74), Georg Cantor (Annalen, 5), and Richard Dedekind. Méray had taken in 1869 the same point of departure as Heine, but the theory is generally refers to the year 1872. Weierstrass theorems of the method has been completely defined by Salvatore Pincherle (1880), and Dedekind's received more prominence through the work of the author, later (1888) and the recent approval by Paul Tannery (1894). Weierstrass theorems, Cantor, and Heine base their theories about infinite series, while his Dedekind found in the idea of a cut (Schnitt) in the system of real numbers, separating all rational numbers into two groups with some characteristic properties. The subject has received contributions later at the hands of Weierstrass theorems, Kronecker (Crelle, 101) and Méray. Fractions continuous, closely related to irrational numbers (and due to Cataldi, 1613), received attention at the hands of Euler, and the opening of the nineteenth century were brought to prominence through the writings of Joseph Louis Lagrange. Other notable contributions were made by Druckenmüller (1837), Kunze (1857), Lemke (1870), and Günther (1872). Ramus (1855) first connected with the theme determinants resulting, with the subsequent contributions of Heine, Möbius, and Günther, in the theory of Kettenbruchdeterminanten. Dirichlet also added to the general theory, as well as the many contributors to the applications of the subject. The first results relating transcendental numbers were Lambert's 1761 proves that π may not be rational, and that is irrational in if n is rational (unless n = 0). (A constant and was first mentioned in 1618 Napier's work on logarithms.) Legendre extended to this evidence showed that π is the square root of a rational number. The search for roots of quintic and greater degree equations has been an important development, the Abel-Ruffini theorem (Ruffini 1799, Abel 1824) showed that they could not be solved by radical (formula involving only the arithmetic operations and roots). Therefore, it was necessary to consider the wider set of algebraic numbers (all solutions of polynomial equations). Galois (1832) linked to the group polynomial equations theory that gave rise to the field of Galois theory. Even the set of algebraic numbers was not sufficient and complete the set of real numbers figure includes transcendental. The existence of which was first established by Liouville (1844, 1851). Hermite proved in 1873 and is transcendental and Lindemann proved in 1882 that π is transcendental. Finally Cantor shows that the set of all real numbers are uncountably infinite, but the set of all numbers is algebraic countably infinite, so there is an infinite number of uncountably transcendental numbers. The oldest known design of mathematical infinity appears in the Yajur Veda, which at one point states "if you remove a piece of infinity or add a part to infinity, what remains is infinite." Infinity has been a popular topic of study philosophical between the Jain mathematicians circa 400 BC. They distinguish between five types of infinity: infinite in one and two ways, in the infinite space, infinite everywhere, and infinite perpetually. In the West, the traditional concept of mathematical infinity was defined by Aristotle, which distinguish between real and infinite potential infinity, the general consensus that only the latter had real value. Galileo's Two New Sciences discussed the idea of one-to-one correspondence between sets infinite. But the next great breakthrough in the theory was done by Georg Cantor, in 1895 he published a book on his new set theory, introducing, among other things, the continuum hypothesis. A modern version of infinite geometrical is amended by projective geometry, which introduces "ideal points at infinity," one for each direction space. Each family of parallel lines in a certain direction is postulated to converge to the point corresponding ideal. This is closely related to the idea of escape points drawing in perspective. The first fleeting reference to the square roots of negative numbers occurred in the work of mathematician and inventor Heron of Alexandria in the 1 st century AD, when it considered the volume of an impossible frustum of a pyramid. They became more prominent when No 16 century closed formulas for the roots of the third and fourth degree polynomials were discovered by mathematical Italians (see Fontana Niccolo Tartaglia, Gerolamo Cardano). It was soon realized that these formulas, even when only one was interested in real solutions, sometimes required the manipulation of the square roots of negative numbers. This was doubly disturbing, since not even considered to be negative numbers on firm ground at the moment. The term "imaginary" for these quantities was coined by René Descartes by 1637 and was designed to be derogatory (see imaginary number for a discussion on the "reality" of complex numbers). Another source of confusion was that the equation the existence of complex numbers was not fully accepted until the geometrical interpretation had been described by Caspar Wessel in 1799, was rediscovered many years later and popularized by Carl Friedrich Gauss, and as a result the theory of Complex Numbers received a remarkable expansion. The idea of the graphical representation of complex numbers had appeared, however, once in 1685, in Wallis's De Algebra tractatus. Also in 1799, Gauss from the first generally accepted proof of the fundamental theorem of algebra, showing that every polynomial on the complex numbers has a complete set of solutions in this area. The general acceptance of the theory of complex numbers is not a little due to the work of Augustin Louis Cauchy and Niels Henrik Abel, and especially the latter, which was the first to use bravely complex numbers with a success that is well known. Gauss studied complex numbers of the form a + bi, where a and b are full, or rational (ei is one of the two roots of x2 + 1 = 0). His student, Ferdinand Eisenstein, studied the type ω a + b, where ω is a complex from scratch x3 - 1 = 0. Other these classes (called cyclotomic fields), complex numbers are derived from the root of the unit xk - 1 = 0 for higher values of k. This generalization is largely due to Ernst Kummer, who also invented ideal figures, which were expressed as geometric entities by Felix Klein, in 1893. The general theory of the fields was created by Évariste Galois, who studied the fields generated by the roots of any polynomial equation F (x) = 0. Prime numbers have been studied throughout recorded history. Euclides Elements of a book devoted to the theory of cousins, in which he revealed the infinitude of prime and fundamental theorem of arithmetic, and presented the Euclidean algorithm for finding the greatest common divisor of two numbers. In 1796, Adrien-Marie Legendre conjectured the prime number theorem, describing the asymptotic distribution of cousins. Other results concerning the distribution of cousins include Euler's proof that the sum of the reciprocals of cousins diverges, and the Goldbach conjecture, which says that any number large enough that is the sum of two primes. Yet another conjecture related to the distribution of prime numbers is the Riemann hypothesis, formulated by Bernhard Riemann in 1859. The prime number theorem was finally proven by Jacques Hadamard and Charles de la-Vallée Poussin in 1896.
Thursday, February 14, 2008
Airline number phone southwest
An airline provides air transport services for passengers or cargo, usually with a recognised certificate, or operating license. Airlines lease or her own aircraft, with which these services can be delivered in partnerships or alliances with other airlines for mutual benefit. Airlines are people with a single e-mail with the aircraft or cargo through full-service international airlines many hundreds of aircraft. Airline services can be seen as intercontinental, intracontinental, or home and can be operated as scheduled or charter. Tony Jannus, the United States' first commercial flight scheduled on 1 January 1914 for the St. Petersburg-haul, through mergers and the time involved in the Delta Air Lines, Braniff Airways, American Airlines, United Airlines (originally a division of Boeing), Trans World Airlines, Northwest Airlines and Eastern Air Lines , to name just a few. At the same time, Juan Trippe began a crusade to create an air network that would America in the world, and he achieved this goal through its airline, Pan American World Airways, with a fleet of flying boats that, in conjunction with Los Angeles and Shanghai Boston to London. Pan Am was the only US airline to the international business before the 1940s. KLM, the oldest carrier, under its original name, was founded in 1919. The first flight (on behalf of KLM by the Aircraft Transport and Travel) transported passengers on two English Schiphol, Amsterdam from London in 1920. Like the other major European airlines of the time (see France and the United Kingdom below), KLM early growth depends to a large extent on the needs for service links with far-flung colonial possessions (Dutch East India). It is only after the loss of Empire, that the Dutch KLM found itself based on a small country with only a few potential passengers, depending heavily on the transfer, and was one of the first to the hub system to facilitate easy connections. France began an air-mail service in Morocco in 1919, was purchased in 1927, renamed Aéropostale, and with capital injected into one of the leading international carriers. In 1933, Aéropostale went bankrupt, was nationalized and merged with several other airlines in what was Air France. In Finland, the charter establishing Aero O / Y (now Finnair, one of the oldest still in operation airlines in the world) was in the city of Helsinki on 12 September 1923. Junkers 13 D F-335 was the first aircraft of the company, on the supply of Aero he took on 14 March 1924. The first flight was between Helsinki and Tallinn, the capital of Estonia, and it took place on 20 March 1924, a week later. Lufthansa in Germany began in 1926. Lufthansa, in contrast to most other airlines at the time, was a major investor in airlines outside Europe, the capital of Varig and Avianca. German aircraft built by Junkers, Fokker and Dornier were the most advanced in the world at that time. The highlight of the German air traffic came in the mid-1930s, as Nazi propaganda minister, the start of commercial zeppelin service: the great airships were a symbol of industrial might, but the fact that they are flammable hydrogen gas increases Security concerns, which culminated with the Hindenburg disaster of 1937. The reason why they are with hydrogen instead of the non-flammable helium gas United States was a military embargo on helium. The British company Aircraft Transport and Travel began in London for Paris on 25 th August 1919, it was the world's first regular international flight. The United Kingdom's flag carrier during this period was Imperial Airways, the BOAC (British Overseas Airlines Co.) in 1939. Imperial Airways uses huge Handley-Page biplanes for the routes between London, the Middle East and India: Images of Imperial plane in the middle of the Rub'al Dalip Singh, is maintained by Bedouins, are among the best-known images from the heyday of the British Empire. The first country in Asia to embrace the aviation sector in the Philippines. Philippine Airlines was on 26 In February 1941, making it Asia's oldest still in operation carrier under its current name. The airline was founded by a group of businessmen headed by Andres Soriano, celebrated as one of the Philippines' leading industrialists at the time. The airline first flight took place on 15 March 1941 with a single Beech Model 18 NPC-54 aircraft, its daily service between Manila (from Nielson Field), and Baguio, later expanding with larger aircraft such as the DC - 3 and Vickers Viscount. In particular, Philippine Airlines leased its first Japan Airlines plane, a DC-3 named "Kinsei". On 31 July 1946, a chartered Philippine Airlines DC-4 transports 40 American soldiers Oakland, California Nielson from the airport in Makati City with stops in Guam, Wake Iceland, Johnston Atoll in Honolulu, Hawaii, PAL, the first Asian airline to cross the Pacific Ocean. A regular service between San Francisco and Manila began in December. It was in that year that the airline was, as a carrier of the Philippines flag. Another airline to begin operations early was Air India, which had its beginnings as Tata Airlines in 1932, a division of Tata Sons Ltd (now Tata Group) of India's leading industrialist JRD Tata. On 15 October 1932, JRD Tata himself flew a single-engined De Havilland Puss Moth, air-mail (mail from Imperial Airways) from Karachi to Bombay via Ahmedabad. The aircraft continued Madras Bellary on the pilots of the Royal Air Force pilots Nevill Vincent. After the end of World War II, regular commercial service was restored in India and Tata Airlines, a joint stock company on 29 July 1946 under the name Air India. After the independence of India, 49% of the airline was purchased by the Government of India. In return, the airline status has been granted to international services from India, as the designated flag carrier under the name Air India International. Neighbouring countries are also quickly embraced aviation, in particular Cathay Pacific, founded in 1946, Singapore Airlines and Malaysian Airlines in 1947 (as Malayan Airways), Garuda Indonesia was founded in 1949 and Japan Airlines in the year 1951. With the outbreak of the Second World War, the airline presence in Asia came to a relative standstill, with many new flag carrier donate their aircraft for military assistance and other uses. World War II, like World War I, brought new life for the airline industry. Many airlines in the Allied countries were flush from leasing contracts for the military, and saw a future explosive demand for civil air transport for passengers and freight. They were eager to invest in the new flagships of air travel as the stratosphere Cruiser Boeing, Lockheed Constellation, and Douglas DC-6. Most of these new aircraft were based on the American bombers like the B-29, had the forefront of research into new technologies such as pressurization. Most of increased efficiency offered by both added speed and greater payload. The next big push for the airlines were in the 1970s, when the Boeing 747, McDonnell Douglas DC-10, and Lockheed L-1011 inaugurated widebody aircraft ( "Jumbo Jet"), which is still the standard in international travel . The Tupolev Tu-144 and its Western counterpart, Concorde, the supersonic travel a reality. In 1972, Airbus began production in Europe, the most commercially successful line of aircraft to date. The added value for the efficiency of these aircraft were often not in speed, but in the passenger capacity, payload and range. As the economy back to normalcy, major airlines dominate their routes through aggressive pricing and additional capacity offers, which are often overloaded new startups. Only America West Airlines (since the merger with US Airways) remains an important survivor from the era of new entrants, as dozens, even hundreds, have at. In many ways, the biggest winner in the deregulated environment was the passenger. Indeed, the US witnessed an explosive-growing demand for air travel, how many millions who have never or rarely been flown before regular fliers, including the accession of the frequent flyer programs and loyalty, free flights and other benefits from their flying . New services and higher frequencies means that business fliers could fly to another city to do business, and return the same day, for the almost anywhere in the country. Air travel benefits brought intercity bus lines under pressure, and most of them collapsed. So in the last 50 years, the airline industry from varied quite profitable, devastating depressed. As the first major market to deregulate the industry in 1978, US airlines have more turbulence than almost any other country or region. Today, almost every single legacy carrier with the exception of American Airlines, under the provisions of Chapter 11 bankruptcy, or gone out of business. Many countries have national airlines that the government owns and operates. Full private airlines in a lot of government regulation for the economic, political and security concerns. For example, the government often uses to stop airline labor actions to protect the free movement of people, communications and goods traffic between the various regions, without compromising security. The United States, Australia and to a lesser extent, Brazil, Mexico, Great Britain and Japan have "deregulated" their airlines. In the past, these governments dictated airfares, route networks and other operational requirements for the various airlines. Since deregulation, airlines have largely been free to negotiate their own operating costs agreements with various airports, entering and leaving tracks easily, and to collect and airfares flights according to market demand. The entry barriers for new airlines are lower in a deregulated market, and so has seen the US-hundreds of airlines start (sometimes only for a short period of time operating system). This is far more than before the deregulation of competition in most markets, and the average prices tend to fall 20% or more. The added competition, along with the pricing freedom, it means that new entrants often share of the market with reduced rates, to a certain degree, full-service airlines have to match. This is a major obstacle to profitability for the established aviation companies, which usually have a higher cost. Groups such as the International Civil Aviation Organization establish worldwide standards for safety and other important issues. Most international air transport is governed by bilateral agreements between countries, certain media on the operation of certain routes. The model of such an agreement was the Bermuda agreement between the United States and Britain after the Second World War, the specific airports, in transatlantic flights, and every government has the authority to nominate air carriers to operate routes. Bilateral agreements are based on the "freedoms of the air", a set of generalized traffic rights of the freedom to fly over a country of freedom to provide domestic flights within a country (very rarely granted right known as cabotage). Most agreements allow airlines to fly from their home country to certain airports in other countries: in some cases, the freedom to provide continuous service in a third country, or to another destination in the other country, while the passengers from overseas. In the 1990s, "open-skies" agreement was frequent. These agreements take many of these regulatory powers of state governments and international routes open to competition. Open Skies agreements have met some criticism, particularly within the European Union, whose airlines would be at a comparative disadvantage with the United States "because of cabotage restrictions. One argument is that positive externalities, such as higher growth through global mobility , which outweighed the microeconomic losses and continued to justify government intervention. a historically high level of state intervention in the airline industry can be seen as part of a broader political consensus on the strategic forms of transport, such as highways and railways, both from the public funding in most parts of the world. profitability improvement is likely in the future as privatization continues to be competitive, and more low-cost carriers proliferate. due to the complications in scheduling flights and the maintenance of profitability, the airlines have many loopholes that can be used by the experienced traveler. airfare Many of these secrets more and more known to the general public, the airlines forced to constantly adjustments. most airlines use differentiated pricing, a form of price discrimination to services sell air simultaneously different prices for different segments. influence factors on the price, the remaining days until the departure, the booked load factor, the forecast of total demand for price, competitive prices in force, and variations from day of the week and the departure of the time of day. Carriers often achieve this by dividing each cabin of the aircraft (First, Business and Economy) in a series of travel classes for pricing. complicated One factor is that the origin-destination (O & D control ") . Someone buying a ticket from Melbourne to Sydney (as an example) for 200 Dollars (AUD) competes with someone who wants to fly to Los Angeles Melbourne through Sydney on the same flight, and who is willing to pay 1400 dollars (AUD). If the airline prefer the $ 1400 200-1300? Airlines have to hundreds of thousands of daily decisions similar pricing policy. The introduction of modern computerized reservations systems in the late 1970s, especially Sabre, airlines allowed to easily carry out cost-benefit analyses of different pricing structures, which almost perfect price discrimination in certain cases (that is, filling every seat in an aircraft at the highest price may be required, without the consumers elsewhere). Price discrimination is an anti-business practice and is defined as price discrimination definition: different prices for identical products. Technically, is the sum of the specific activities of the other airline, without violating laws. The archaic airlines with hub systems and unprofitable pricing structures, have legally defines this term as an attack on the company, even if this law is not outside the law. The low-cost carriers (LCC) are new to the scene and does not have the resources to contact or outlaw this definition of a purely legal business practice (in which they are to participate) as monopolistic practices which have the above-mentioned archaic tariff structure . The national airlines still to be defined as the discrimination is a harmful and detrimental intenionally wanted to act on their business with a competitor. Laws for the protection of the business can be applied, or those who have the greatest impact in May insinuate, without proof that they are unfairly treated, and thus their legal status as the defendant to limit manuevaribility LCC's in the market. One example is that it taxes demand from the US government for certain airports, for the nation or exemption receive grant for either a) seniority / grandfathering treatment, or b) the legal position as a financially on the edge (ie bankruptcy) . The intensive nature of the airline ticket pricing has led to the term "rate war" to describe efforts by airlines to undercut other airlines at competitive routes. Through computers, new airfares can be published quickly and efficiently to the airlines distribution channels. To this end, the use of airlines Airline Tariff Publishing Company (ATPCO), the latest tariffs distribute more than 500 airlines in the computer reservation system in the world. Full-service airlines have a high level of fixed and operating costs, to the creation and maintenance of the air: labor, fuel, aircraft, engines, spare parts and components, IT services and networks, airports, airport handling services, sales, catering - -, training, aviation insurance and other costs. Therefore, all but a small percentage of revenue from ticket sales is paid out to a variety of internal or external providers cost centers. The industry is structured so that the airlines often than Zöllner. Airline untaxed fuel is however due to a series of existing treaties between the countries. Ticket prices include a number of fees, taxes and surcharges they have little or no control over, and these are passed through to different providers. Airlines are also responsible for the enforcement of state regulation. If the airlines carry passengers without proper documentation on an international flight, they are responsible for the repatriation of them back to their country of origin. In contrast, Southwest Airlines was the most profitable companies in the airline since 1970. Indeed, some sources have calculated Southwest, the best performing stock over the period, outperforming Microsoft and many other high-performance companies. The chief reasons are that their product consistency and cost control. The widespread entrance of a new generation of low-cost airlines from the turn of the century, the requirement that full-service carrier costs. Many of these low-cost companies emulate Southwest Airlines in a variety of ways, and how Southwest, they are able to eke out a consistent profit in all phases of the economic cycle. Consequently, a shakeout of airlines, in the United States and elsewhere. United Airlines, US Airways (twice), Delta Air Lines and Northwest Airlines have declared bankruptcy, Chapter 11, and the American has hardly avoided. Alitalia, Scandinavian Airlines System, Sabena, Swissair, Japan Air System, Viasa, Air Canada, Ansett Australia, and others have flirted with or bankruptcy since 1995, as a low-cost provider in their home markets as well. Some argue that it would be far better for the industry as a whole, when a wave of closures were actually to reduce the number of "undead" competing airlines with healthy airlines simultaneously artificially protected from creditors on insolvency law. On the other side, some have pointed out that the reduction in capacity would be short-lived, since there would be large amounts of relatively new aircraft, would like to get rid of bankruptcies and would return to the market, either as increased for the fleets of survivors or the basis for the new airplanes cheap startups. Airline funding is fairly complicated, because the airlines are highly leveraged operations. Not only must they buy (or lease) and new airliner engines regularly that they have great long-term fleet decisions with the aim of meeting the needs of their markets while a fleet of production, which is relatively inexpensive to operate and maintain. Southwest Airlines compare and their dependence on a single type of aircraft (the Boeing 737 and derivatives), with the now lapsed Eastern Air Lines operated, the 17 different types of aircraft, each with different pilot, engine, maintenance and support needs . A second problem is that financial security of oil and fuel consumption purchases, which usually only seconds to complete its work in the relative costs for the companies. But with the current high gasoline prices, the biggest cost for an airline. While hedging instruments can be expensive, they can pay for itself many times over in times of rising fuel costs, as in the period 2000-2005. Given the apparent congestion at many international airports, the ownership of slots at certain airports (the right to land an airplane or off at a certain time of the day or night-time) has become a major tradable asset for many airlines. Obviously starting slots at popular times of the day can be critical in the production of more profitable business travelers to a specific airline flights and the creation of competitive advantage compared to a competing airline. If a certain city has two or more airports, market forces usually in the less profitable routes, or those on which the competition is weakest, to the less congested airport, where slots are likely to be more available and therefore cheaper. Other factors, such as land and maritime transport and onward transport links, will also affect the relative attractiveness of different airports and some long-distance must operate with the longest runway. Code-sharing is the most common type of airline partnership, and it includes an airline sells tickets for the flights of another airline, according to its own airline code. An early example was Japan Airlines' code-sharing partnership with Aeroflot in the 1960s on flights from Tokyo to Moscow: Aeroflot flights operated by Aeroflot aircraft, but JAL sold tickets for the flights as if they were JAL flights. This practice allows airlines to expand their operations, at least on paper, in parts of the world where they can not afford to bases or aircraft purchase. Another example was the Austro-Sabena partnership at the Vienna-Brussels-New York JFK route in the late 60's, with a Boeing 707 with Austrian Sabena colors. since airline reservation inquiries are often used by city-pair (such as "Show me flights from Dusseldorf to Chicago"), an airline, the code is in a position with another airline shares for a variety of routes should be in a position to actually offer as a Dusseldorf-Chicago flight. passenger is advisable, however, that the airline operates 1 say that the flight from Chicago to Amsterdam, 2 and the continuing airline operates flights (on another plane, sometimes from another terminal), to Düsseldorf. ensure that the primary motivation for the code-share is the expansion of its own service offerings in the city-pair conditions, increase sales. often combine the Enterprise IT operating, fuel purchase, purchase or aircraft as a block to higher bargaining power. However, the alliances were in the most successful shopping invisible supplies and services, such as fuel. Airlines usually prefer to buy visible to their passengers to distinguish itself from local competitors. If an airline, the main domestic rival Boeing airplanes flying, then the airline prefer Airbus aircraft to be used, regardless of what the rest of the alliance chooses. Everybody operator of a scheduled or charter flight airline uses a call sign when communicating with airports and air traffic control centers . Most of these call signs are from the airline trade names, but for reasons of history, marketing, or the need to reduce ambiguity in English is spoken (so that the pilots do not mistake the navigation decisions on the basis of instructions, to another plane) Some airlines and air forces to use call signs less obvious in connection with their trade names. For example, British Airways Speedbird uses a call-sign, named after the logo of its predecessor BOAC, while America West uses Cactus Corporate reflect that, in an apartment in the State of Arizona and are different from many other airlines with America and the West in their call signs. industry is cyclical. four or five years of poor performance before five or six years, the performance improved. But profitability in the good years is usually low in the order of 2-3% net profit after interest and taxes. times the profit, airlines lease new generations of aircraft and upgrade services in response to increased demand. since 1980 has The industry has not earned back the cost of capital in the best of times. Conversely, in bad times losses can dramatically deteriorated.
Sunday, February 10, 2008
Airline number phone southwest
A number is an abstract idea used in counting and measuring. A symbol which represents a number is called a numeral, but in common usage the word number is used for both the idea and the symbol. In addition to their use in counting and measuring, numerals are often used for labels (telephone numbers), for ordering (serial numbers), and for codes (ISBNs). In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational numbers, irrational numbers, and complex numbers. In the base ten number system, in almost universal use today, the symbols for natural numbers are written using ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. In this base ten system, the rightmost digit of a natural number has a place value of one, and every other digit has a place value ten times that of the place value of the digit to its right. The symbol for the set of all natural numbers is N, also written . Negative numbers are numbers that are less than zero. They are the opposite of positive numbers. For example, if a positive number indicates a bank deposit, then a negative number indicates a withdrawal of the same amount. Negative numbers are usually written by writing a negative sign in front of the number they are the opposite of. Thus the opposite of 7 is written −7. When the set of negative integers are combined with the positive whole numbers and zero, one obtains the integers Z (German Zahl, plural Zahlen), also written . If the absolute value of m is greater than n, then the absolute value of the fraction is greater than 1. Fractions can be greater than, less than, or equal to 1 and can also be positive, negative, or zero. The set of all fractions includes the integers, since every integer can be written as a fraction with denominator 1. For example −7 can be written −7/1. The symbol for the rational numbers is Q (for quotient), also written . The real numbers include all of the measuring numbers. Real numbers are usually written using decimal numerals, in which a decimal point is placed to the right of the digit with place value one. Following the decimal point, each digit has a place value one-tenth the place value of the digit to its left. Thus represents 1 hundred, 2 tens, 3 ones, 4 tenths, 5 hundredths, and 6 thousandths. In saying the number, the decimal is read "point", thus: "one two three point four five six". In, for example, the US and UK, the decimal is represented by a period, in continental Europe by a comma. Zero is often written as 0.0 and negative real numbers are written with a preceding minus sign: Moving to a greater level of abstraction, the real numbers can be extended to the complex numbers. This set of numbers arose, historically, from the question of whether a negative number can have a square root. This led to the invention of a new number: the square root of negative one, denoted by i, a symbol assigned by Leonhard Euler, and called the imaginary unit. The complex numbers consist of all numbers of the form where a and b are real numbers. In the expression a + bi, the real number a is called the real part and b is called the imaginary part. If the real part of a complex number is zero, then the number is called an imaginary number or is referred to as purely imaginary; if the imaginary part is zero, then the number is a real number. Thus the real numbers are a subset of the complex numbers. If the real and imaginary parts of a complex number are both integers, then the number is called a Gaussian integer. The symbol for the complex numbers is C or . In abstract algebra, the complex numbers are an example of an algebraically closed field, meaning that every polynomial with complex coefficients can be factored into linear factors. Like the real number system, the complex number system is a field and is complete, but unlike the real numbers it is not ordered. That is, there is no meaning in saying that i is greater than 1, nor is there any meaning in saying that that i is less than 1. In technical terms, the complex numbers lack the trichotomy property. The idea behind p-adic numbers is this: While real numbers may have infinitely long expansions to the right of the decimal point, these numbers allow for infinitely long expansions to the left. The number system which results depends on what base is used for the digits: any base is possible, but a system with the best mathematical properties is obtained when the base is a prime number. For dealing with infinite collections, the natural numbers have been generalized to the ordinal numbers and to the cardinal numbers. The former gives the ordering of the collection, while the latter gives its size. For the finite set, the ordinal and cardinal numbers are equivalent, but they differ in the infinite case. Sets of numbers that are not subsets of the complex numbers include the quaternions H, invented by Sir William Rowan Hamilton, in which multiplication is not commutative, and the octonions, in which multiplication is not associative. Elements of function fields of finite characteristic behave in some ways like numbers and are often regarded as numbers by number theorists. Numbers should be distinguished from numerals, the symbols used to represent numbers. The number five can be represented by both the base ten numeral '5' and by the Roman numeral 'V'. Notations used to represent numbers are discussed in the article numeral systems. An important development in the history of numerals was the development of a positional system, like modern decimals, which can represent very large numbers. The Roman numerals require extra symbols for larger numbers. It is speculated that the first known use of numbers dates back to around 30000 BC, bones or other artifacts have been discovered with marks cut into them which are often considered tally marks. The use of these tally marks have been suggested to be anything from counting elapsed time, such as numbers of days, or keeping records of amounts. Tallying systems have no concept of place-value (such as in the currently used decimal notation), which limit its representation of large numbers and as such is often considered that this is the first kind of abstract system that would be used, and could be considered a Numeral System. The use of zero as a number should be distinguished from its use as a placeholder numeral in place-value systems. Many ancient Indian texts use a Sanskrit word Shunya to refer to the concept of void; in mathematics texts this word would often be used to refer to the number zero. [2]. In a similar vein, Pāṇini (5th century BC) used the null (zero) operator (ie a lambda production) in the Ashtadhyayi, his algebraic grammar for the Sanskrit language. (also see Pingala) Records show that the Ancient Greeks seemed unsure about the status of zero as a number: they asked themselves "how can 'nothing' be something?" leading to interesting philosophical and, by the Medieval period, religious arguments about the nature and existence of zero and the vacuum. The paradoxes of Zeno of Elea depend in large part on the uncertain interpretation of zero. (The ancient Greeks even questioned if 1 was a number.) The late Olmec people of south-central Mexico began to use a true zero (a shell glyph) in the New World possibly by the 4th century BC but certainly by 40 BC, which became an integral part of Maya numerals and the Maya calendar, but did not influence Old World numeral systems. By 130, Ptolemy, influenced by Hipparchus and the Babylonians, was using a symbol for zero (a small circle with a long overbar) within a sexagesimal numeral system otherwise using alphabetic Greek numerals. Because it was used alone, not as just a placeholder, this Hellenistic zero was the first documented use of a true zero in the Old World. In later Byzantine manuscripts of his Syntaxis Mathematica (Almagest), the Hellenistic zero had morphed into the Greek letter omicron (otherwise meaning 70). Another true zero was used in tables alongside Roman numerals by 525 (first known use by Dionysius Exiguus), but as a word, nulla meaning nothing, not as a symbol. When division produced zero as a remainder, nihil, also meaning nothing, was used. These medieval zeros were used by all future medieval computists (calculators of Easter). An isolated use of their initial, N, was used in a table of Roman numerals by Bede or a colleague about 725, a true zero symbol. An early documented use of the zero by Brahmagupta (in the Brahmasphutasiddhanta) dates to 628. He treated zero as a number and discussed operations involving it, including division. By this time (7th century) the concept had clearly reached Cambodia, and documentation shows the idea later spreading to China and the Islamic world. During the 600s, negative numbers were in use in India to represent debts. Diophantus’ previous reference was discussed more explicitly by Indian mathematician Brahmagupta, in Brahma-Sphuta-Siddhanta 628, who used negative numbers to produce the general form quadratic formula that remains in use today. However, in the 12th century in India, Bhaskara gives negative roots for quadratic equations but says the negative value "is in this case not to be taken, for it is inadequate; people do not approve of negative roots." It is likely that the concept of fractional numbers dates to prehistoric times. Even the Ancient Egyptians wrote math texts describing how to convert general fractions into their special notation. Classical Greek and Indian mathematicians made studies of the theory of rational numbers, as part of the general study of number theory. The best known of these is Euclid's Elements, dating to roughly 300 BC. Of the Indian texts, the most relevant is the Sthananga Sutra, which also covers number theory as part of a general study of mathematics. The concept of decimal fractions is closely linked with decimal place value notation; the two seem to have developed in tandem. For example, it is common for the Jain math sutras to include calculations of decimal-fraction approximations to pi or the square root of two. Similarly, Babylonian math texts had always used sexagesimal fractions with great frequency. The sixteenth century saw the final acceptance by Europeans of negative, integral and fractional numbers. The seventeenth century saw decimal fractions with the modern notation quite generally used by mathematicians. But it was not until the nineteenth century that the irrationals were separated into algebraic and transcendental parts, and a scientific study of theory of irrationals was taken once more. It had remained almost dormant since Euclid. The year 1872 saw the publication of the theories of Karl Weierstrass (by his pupil Kossak), Heine (Crelle, 74), Georg Cantor (Annalen, 5), and Richard Dedekind. Méray had taken in 1869 the same point of departure as Heine, but the theory is generally referred to the year 1872. Weierstrass's method has been completely set forth by Salvatore Pincherle (1880), and Dedekind's has received additional prominence through the author's later work (1888) and the recent endorsement by Paul Tannery (1894). Weierstrass, Cantor, and Heine base their theories on infinite series, while Dedekind founds his on the idea of a cut (Schnitt) in the system of real numbers, separating all rational numbers into two groups having certain characteristic properties. The subject has received later contributions at the hands of Weierstrass, Kronecker (Crelle, 101), and Méray. Continued fractions, closely related to irrational numbers (and due to Cataldi, 1613), received attention at the hands of Euler, and at the opening of the nineteenth century were brought into prominence through the writings of Joseph Louis Lagrange. Other noteworthy contributions have been made by Druckenmüller (1837), Kunze (1857), Lemke (1870), and Günther (1872). Ramus (1855) first connected the subject with determinants, resulting, with the subsequent contributions of Heine, Möbius, and Günther, in the theory of Kettenbruchdeterminanten. Dirichlet also added to the general theory, as have numerous contributors to the applications of the subject. The first results concerning transcendental numbers were Lambert's 1761 proof that π cannot be rational, and also that en is irrational if n is rational (unless n = 0). (The constant e was first referred to in Napier's 1618 work on logarithms.) Legendre extended this proof to showed that π is not the square root of a rational number. The search for roots of quintic and higher degree equations was an important development, the Abel–Ruffini theorem (Ruffini 1799, Abel 1824) showed that they could not be solved by radicals (formula involving only arithmetical operations and roots). Hence it was necessary to consider the wider set of algebraic numbers (all solutions to polynomial equations). Galois (1832) linked polynomial equations to group theory giving rise to the field of Galois theory. Even the set of algebraic numbers was not sufficient and the full set of real number includes transcendental numbers. The existence of which was first established by Liouville (1844, 1851). Hermite proved in 1873 that e is transcendental and Lindemann proved in 1882 that π is transcendental. Finally Cantor shows that the set of all real numbers is uncountably infinite but the set of all algebraic numbers is countably infinite, so there is an uncountably infinite number of transcendental numbers. The earliest known conception of mathematical infinity appears in the Yajur Veda, which at one point states "if you remove a part from infinity or add a part to infinity, still what remains is infinity". Infinity was a popular topic of philosophical study among the Jain mathematicians circa 400 BC. They distinguished between five types of infinity: infinite in one and two directions, infinite in area, infinite everywhere, and infinite perpetually. In the West, the traditional notion of mathematical infinity was defined by Aristotle, who distinguished between actual infinity and potential infinity; the general consensus being that only the latter had true value. Galileo's Two New Sciences discussed the idea of one-to-one correspondences between infinite sets. But the next major advance in the theory was made by Georg Cantor; in 1895 he published a book about his new set theory, introducing, among other things, the continuum hypothesis. A modern geometrical version of infinity is given by projective geometry, which introduces "ideal points at infinity," one for each spatial direction. Each family of parallel lines in a given direction is postulated to converge to the corresponding ideal point. This is closely related to the idea of vanishing points in perspective drawing. The earliest fleeting reference to square roots of negative numbers occurred in the work of the mathematician and inventor Heron of Alexandria in the 1st century AD, when he considered the volume of an impossible frustum of a pyramid. They became more prominent when in the 16th century closed formulas for the roots of third and fourth degree polynomials were discovered by Italian mathematicians (see Niccolo Fontana Tartaglia, Gerolamo Cardano). It was soon realized that these formulas, even if one was only interested in real solutions, sometimes required the manipulation of square roots of negative numbers. This was doubly unsettling since they did not even consider negative numbers to be on firm ground at the time. The term "imaginary" for these quantities was coined by René Descartes in 1637 and was meant to be derogatory (see imaginary number for a discussion of the "reality" of complex numbers). A further source of confusion was that the equation The existence of complex numbers was not completely accepted until the geometrical interpretation had been described by Caspar Wessel in 1799; it was rediscovered several years later and popularized by Carl Friedrich Gauss, and as a result the theory of complex numbers received a notable expansion. The idea of the graphic representation of complex numbers had appeared, however, as early as 1685, in Wallis's De Algebra tractatus. Also in 1799, Gauss provided the first generally accepted proof of the fundamental theorem of algebra, showing that every polynomial over the complex numbers has a full set of solutions in that realm. The general acceptance of the theory of complex numbers is not a little due to the labors of Augustin Louis Cauchy and Niels Henrik Abel, and especially the latter, who was the first to boldly use complex numbers with a success that is well known. Gauss studied complex numbers of the form a + bi, where a and b are integral, or rational (and i is one of the two roots of x2 + 1 = 0). His student, Ferdinand Eisenstein, studied the type a + bω, where ω is a complex root of x3 − 1 = 0. Other such classes (called cyclotomic fields) of complex numbers are derived from the roots of unity xk − 1 = 0 for higher values of k. This generalization is largely due to Ernst Kummer, who also invented ideal numbers, which were expressed as geometrical entities by Felix Klein in 1893. The general theory of fields was created by Évariste Galois, who studied the fields generated by the roots of any polynomial equation F(x) = 0. Prime numbers have been studied throughout recorded history. Euclid devoted one book of the Elements to the theory of primes; in it he proved the infinitude of the primes and the fundamental theorem of arithmetic, and presented the Euclidean algorithm for finding the greatest common divisor of two numbers. In 1796, Adrien-Marie Legendre conjectured the prime number theorem, describing the asymptotic distribution of primes. Other results concerning the distribution of the primes include Euler's proof that the sum of the reciprocals of the primes diverges, and the Goldbach conjecture which claims that any sufficiently large even number is the sum of two primes. Yet another conjecture related to the distribution of prime numbers is the Riemann hypothesis, formulated by Bernhard Riemann in 1859. The prime number theorem was finally proved by Jacques Hadamard and Charles de la Vallée-Poussin in 1896.
Airline number phone southwest
An airline provides air transport services for passengers or freight, generally with a recognized operating certificate or license. Airlines lease or own their aircraft with which to supply these services and may form partnerships or alliances with other airlines for mutual benefit. Airlines vary from those with a single airplane carrying mail or cargo, through full-service international airlines operating many hundreds of airplanes. Airline services can be categorized as being intercontinental, intracontinental, or domestic and may be operated as scheduled services or charters. Tony Jannus conducted the United States' first scheduled commercial airline flight on 1 January 1914 for the St. Petersburg-routes, which would, through time and mergers, evolve into Delta Air Lines, Braniff Airways, American Airlines, United Airlines (originally a division of Boeing), Trans World Airlines, Northwest Airlines, and Eastern Air Lines, to name a few. At the same time, Juan Trippe began a crusade to create an air network that would link America to the world, and he achieved this goal through his airline, Pan American World Airways, with a fleet of flying boats that linked Los Angeles to Shanghai and Boston to London. Pan Am was the only U.S. airline to go international before the 1940s. KLM, the oldest carrier still operating under its original name, was founded in 1919. The first flight (operated on behalf of KLM by Aircraft Transport and Travel) transported two English passengers to Schiphol, Amsterdam from London in 1920. Like other major European airlines of the time (see France and the UK below), KLM's early growth depended heavily on the needs to service links with far-flung colonial possessions (Dutch Indies). It is only after the loss of the Dutch Empire that KLM found itself based at a small country with few potential passengers, depending heavily on transfer traffic, and was one of the first to introduce the hub-system to facilitate easy connections. France began an air mail service to Morocco in 1919 that was bought out in 1927, renamed Aéropostale, and injected with capital to become a major international carrier. In 1933, Aéropostale went bankrupt, was nationalized and merged with several other airlines into what became Air France. In Finland, the charter establishing Aero O/Y (now Finnair, one of the oldest still-operating airlines in the world) was signed in the city of Helsinki on 12 September 1923. Junkers F 13 D-335 became the first aircraft of the company, when Aero took delivery of it on 14 March 1924. The first flight was between Helsinki and Tallinn, capital of Estonia, and it took place on 20 March 1924, one week later. Germany's Lufthansa began in 1926. Lufthansa, unlike most other airlines at the time, became a major investor in airlines outside of Europe, providing capital to Varig and Avianca. German airliners built by Junkers, Dornier, and Fokker were the most advanced in the world at the time. The peak of German air travel came in the mid-1930s, when Nazi propaganda ministers approved the start of commercial zeppelin service: the big airships were a symbol of industrial might, but the fact that they used flammable hydrogen gas raised safety concerns that culminated with the Hindenburg disaster of 1937. The reason they used hydrogen instead of the not-flammable helium gas was a United States military embargo on helium. The British company Aircraft Transport and Travel commenced a London to Paris service on th 25 August 1919, this was the world's first regular international flight. The United Kingdom's flag carrier during this period was Imperial Airways, which became BOAC (British Overseas Airlines Co.) in 1939. Imperial Airways used huge Handley-Page biplanes for routes between London, the Middle East, and India: images of Imperial aircraft in the middle of the Rub'al Khali, being maintained by Bedouins, are among the most famous pictures from the heyday of the British Empire. The first country in Asia to embrace air transport was the Philippines. Philippine Airlines was founded on February 26, 1941, making it Asia's oldest carrier still operating under its current name. The airline was started by a group of businessmen led by Andres Soriano, hailed as one of the Philippines' leading industrialists at the time. The airline’s first flight was made on March 15, 1941 with a single Beech Model 18 NPC-54 aircraft, which started its daily services between Manila (from Nielson Field) and Baguio, later to expand with larger aircraft such as the DC-3 and Vickers Viscount. Notably Philippine Airlines leased Japan Airlines their first aircraft, a DC-3 named "Kinsei". On July 31, 1946, a chartered Philippine Airlines DC-4 ferried 40 American servicemen to Oakland,California from Nielson Airport in Makati City with stops in Guam, Wake Island, Johnston Atoll and Honolulu, Hawaii, making PAL the first Asian airline to cross the Pacific Ocean. A regular service between Manila and San Francisco was started in December. It was during this year that the airline was designated as the Philippines flag carrier. Another airline company to begin early operations was Air India, which had its beginning as Tata Airlines in 1932, a division of Tata Sons Ltd. (now Tata Group) by India's leading industrialist JRD Tata. On October 15, 1932, J. R. D. Tata himself flew a single engined De Havilland Puss Moth carrying air mail (postal mail of Imperial Airways) from Karachi to Bombay via Ahmedabad. The aircraft continued to Madras via Bellary piloted by Royal Air Force pilot Nevill Vincent. Following the end of World War II, regular commercial service was restored in India and Tata Airlines became a public limited company on 29 July 1946 under the name Air India. After the Independence of India, 49% of the airline was acquired by the Government of India. In return, the airline was granted status to operate international services from India as the designated flag carrier under the name Air India International. Neighbouring countries also soon embraced air transport, notably with Cathay Pacific founded in 1946, Singapore Airlines and Malaysian Airlines in 1947 (as Malayan Airways), Garuda Indonesia in 1949 and Japan Airlines founded in 1951. With the outbreak of World War Two, the airline presence in Asia came to a relative halt, with many new flag carriers donating their aircraft for military aid and other uses. World War II, like World War I, brought new life to the airline industry. Many airlines in the Allied countries were flush from lease contracts to the military, and foresaw a future explosive demand for civil air transport, for both passengers and cargo. They were eager to invest in the newly emerging flagships of air travel such as the Boeing Stratocruiser, Lockheed Constellation, and Douglas DC-6. Most of these new aircraft were based on American bombers such as the B-29, which had spearheaded research into new technologies such as pressurization. Most offered increased efficiency from both added speed and greater payload. The next big boost for the airlines would come in the 1970s, when the Boeing 747, McDonnell Douglas DC-10, and Lockheed L-1011 inaugurated widebody ("jumbo jet") service, which is still the standard in international travel. The Tupolev Tu-144 and its Western counterpart, Concorde, made supersonic travel a reality. In 1972, Airbus began producing Europe's most commercially successful line of airliners to date. The added efficiencies for these aircraft were often not in speed, but in passenger capacity, payload, and range. As the business cycle returned to normalcy, major airlines dominated their routes through aggressive pricing and additional capacity offerings, often swamping new startups. Only America West Airlines (which has since merged with US Airways) remained a significant survivor from this new entrant era, as dozens, even hundreds, have gone under. In many ways, the biggest winner in the deregulated environment was the air passenger. Indeed, the U.S. witnessed an explosive growth in demand for air travel, as many millions who had never or rarely flown before became regular fliers, even joining frequent flyer loyalty programs and receiving free flights and other benefits from their flying. New services and higher frequencies meant that business fliers could fly to another city, do business, and return the same day, for almost any point in the country. Air travel's advantages put intercity bus lines under pressure, and most have withered away. Thus the last 50 years of the airline industry have varied from reasonably profitable, to devastatingly depressed. As the first major market to deregulate the industry in 1978, U.S. airlines have experienced more turbulence than almost any other country or region. Today, almost every single legacy carrier except for American Airlines have operated under Chapter 11 bankruptcy provisions or have gone out of business. Many countries have national airlines that the government owns and operates. Fully private airlines are subject to a great deal of government regulation for economic, political, and safety concerns. For instance, the government often intervenes to halt airline labor actions in order to protect the free flow of people, communications, and goods between different regions without compromising safety. The United States, Australia, and to a lesser extent Brazil, Mexico, the United Kingdom and Japan have "deregulated" their airlines. In the past, these governments dictated airfares, route networks, and other operational requirements for each airline. Since deregulation, airlines have been largely free to negotiate their own operating arrangements with different airports, enter and exit routes easily, and to levy airfares and supply flights according to market demand. The entry barriers for new airlines are lower in a deregulated market, and so the U.S. has seen hundreds of airlines start up (sometimes for only a brief operating period). This has produced far greater competition than before deregulation in most markets, and average fares tend to drop 20% or more. The added competition, together with pricing freedom, means that new entrants often take market share with highly reduced rates that, to a limited degree, full service airlines must match. This is a major constraint on profitability for established carriers, which tend to have a higher cost base. Groups such as the International Civil Aviation Organization establish worldwide standards for safety and other vital concerns. Most international air traffic is regulated by bilateral agreements between countries, which designate specific carriers to operate on specific routes. The model of such an agreement was the Bermuda Agreement between the US and UK following World War II, which designated airports to be used for transatlantic flights and gave each government the authority to nominate carriers to operate routes. Bilateral agreements are based on the "freedoms of the air," a group of generalized traffic rights ranging from the freedom to overfly a country to the freedom to provide domestic flights within a country (a very rarely granted right known as cabotage). Most agreements permit airlines to fly from their home country to designated airports in the other country: some also extend the freedom to provide continuing service to a third country, or to another destination in the other country while carrying passengers from overseas. In the 1990s, "open skies" agreements became more common. These agreements take many of these regulatory powers from state governments and open up international routes to further competition. Open skies agreements have met some criticism, particularly within the European Union, whose airlines would be at a comparative disadvantage with the United States' because of cabotage restrictions. One argument is that positive externalities, such as higher growth due to global mobility, outweigh the microeconomic losses and justify continuing government intervention. A historically high level of government intervention in the airline industry can be seen as part of a wider political consensus on strategic forms of transport, such as highways and railways, both of which receive public funding in most parts of the world. Profitability is likely to improve in the future as privatization continues and more competitive low-cost carriers proliferate. Because of the complications in scheduling flights and maintaining profitability, airlines have many loopholes that can be used by the knowledgeable traveler. Many of these airfare secrets are becoming more and more known to the general public, so airlines are forced to make constant adjustments. Most airlines use differentiated pricing, a form of price discrimination, in order to sell air services at varying prices simultaneously to different segments. Factors influencing the price include the days remaining until departure, the booked load factor, the forecast of total demand by price point, competitive pricing in force, and variations by day of week of departure and by time of day. Carriers often accomplish this by dividing each cabin of the aircraft (first, business and economy) into a number of travel classes for pricing purposes. A complicating factor is that of origin-destination control ("O&D control"). Someone purchasing a ticket from Melbourne to Sydney (as an example) for $200 (AUD) is competing with someone else who wants to fly Melbourne to Los Angeles through Sydney on the same flight, and who is willing to pay $1400 (AUD). Should the airline prefer the $1400 passenger, or the $200 passenger plus a possible Sydney-Los Angeles passenger willing to pay $1300? Airlines have to make hundreds of thousands of similar pricing decisions daily. The advent of advanced computerized reservations systems in the late 1970s, most notably Sabre, allowed airlines to easily perform cost-benefit analyses on different pricing structures, leading to almost perfect price discrimination in some cases (that is, filling each seat on an aircraft at the highest price that can be charged without driving the consumer elsewhere). Price discrimination is considered an anti-business practice, and is defined as price discriminations definition: different prices for identical products. Technically this is the total of the specific action of the other airline, without violating laws. The archaic airlines, with hub-systems and unprofitable pricing structures, have legally defined this term as an attack on business, although this act is not outside of law. The low cost carriers (LCC's) are new on the scene and did not have the contacts or resources to outlaw this definition of a purely legal business practice (in which they chose to participate) as a monopolistic practice to those with the aforementioned archaic pricing structure. The national carriers have yet to define how discrimination is an intenionally harmful and volitionally detrimental act upon their business by a competitor. Laws protecting business can be applied, or those who have the greatest impact may insinuate without proof that they are treated unfairly, and can thus use their legal status as the defendant to limit LCC's manuevaribility within the market. An example is that they demand taxes from the US government for specific airports, for which the National's receive exemption or subsidy for either a)seniority/grandfathering treatment, or b)legal status as financially on the brink (i.e. pre-bankruptcy). The intense nature of airfare pricing has led to the term "fare war" to describe efforts by airlines to undercut other airlines on competitive routes. Through computers, new airfares can be published quickly and efficiently to the airlines' sales channels. For this purpose the airlines use the Airline Tariff Publishing Company (ATPCO), who distribute latest fares for more than 500 airlines to Computer Reservation Systems across the world. Full-service airlines have a high level of fixed and operating costs in order to establish and maintain air services: labor, fuel, airplanes, engines, spares and parts, IT services and networks, airport equipment, airport handling services, sales distribution, catering, training, aviation insurance and other costs. Thus all but a small percentage of the income from ticket sales is paid out to a wide variety of external providers or internal cost centers. Moreover, the industry is structured so that airlines often act as tax collectors. Airline fuel is untaxed, however, due to a series of treaties existing between countries. Ticket prices include a number of fees, taxes, and surcharges they have little or no control over, and these are passed through to various providers. Airlines are also responsible for enforcing government regulations. If airlines carry passengers without proper documentation on an international flight, they are responsible for returning them back to the originating country. In contrast, Southwest Airlines has been the most profitable of airline companies since 1970. Indeed, some sources have calculated Southwest to be the best performing stock over the period, outperforming Microsoft and many other high performing companies. The chief reasons for this are their product consistency and cost control. The widespread entrance of a new breed of low cost airlines beginning at the turn of the century has accelerated the demand that full service carriers control costs. Many of these low cost companies emulate Southwest Airlines in various respects, and like Southwest, they are able to eke out a consistent profit throughout all phases of the business cycle. As a result, a shakeout of airlines is occurring in the U.S. and elsewhere. United Airlines, US Airways (twice), Delta Air Lines, and Northwest Airlines have all declared Chapter 11 bankruptcy, and American has barely avoided doing so. Alitalia, Scandinavian Airlines System, SABENA, Swissair, Japan Air System, Viasa, Air Canada, Ansett Australia, and others have flirted with or declared bankruptcy since 1995, as low cost entrants enter their home markets as well. Some argue that it would be far better for the industry as a whole if a wave of actual closures were to reduce the number of "undead" airlines competing with healthy airlines while being artificially protected from creditors via bankruptcy law. On the other hand, some have pointed out that the reduction in capacity would be short lived given that there would be large quantities of relatively new aircraft that bankruptcies would want to get rid of and would re-enter the market either as increased fleets for the survivors or the basis of cheap planes for new startups. Airline financing is quite complex, since airlines are highly leveraged operations. Not only must they purchase (or lease) new airliner bodies and engines regularly, they must make major long-term fleet decisions with the goal of meeting the demands of their markets while producing a fleet that is relatively economical to operate and maintain. Compare Southwest Airlines and their reliance on a single airplane type (the Boeing 737 and derivatives), with the now defunct Eastern Air Lines which operated 17 different aircraft types, each with varying pilot, engine, maintenance, and support needs. A second financial issue is that of hedging oil and fuel purchases, which are usually second only to labor in its relative cost to the company. However, with the current high fuel prices it has become the largest cost to an airline. While hedging instruments can be expensive, they can easily pay for themselves many times over in periods of increasing fuel costs, such as in the 2000-2005 period. In view of the congestion apparent at many international airports, the ownership of slots at certain airports (the right to take-off or land an aircraft at a particular time of day or night) has become a significant tradable asset for many airlines. Clearly take-off slots at popular times of the day can be critical in attracting the more profitable business traveler to a given airline's flight and in establishing a competitive advantage against a competing airline. If a particular city has two or more airports, market forces will tend to attract the less profitable routes, or those on which competition is weakest, to the less congested airport, where slots are likely to be more available and therefore cheaper. Other factors, such as surface transport facilities and onward connections, will also affect the relative appeal of different airports and some long distance flights may need to operate from the one with the longest runway. Code sharing is the most common type of airline partnership; it involves one airline selling tickets for another airline's flights under its own airline code. An early example of this was Japan Airlines' code sharing partnership with Aeroflot in the 1960s on flights from Tokyo to Moscow: Aeroflot operated the flights using Aeroflot aircraft, but JAL sold tickets for the flights as if they were JAL flights. This practice allows airlines to expand their operations, at least on paper, into parts of the world where they cannot afford to establish bases or purchase aircraft. Another example was the Austrian- Sabena partnership on the Vienna-Brussels-New York JFK route during the late 60's, using a Sabena Boeing 707 with Austrian colors. Since airline reservation requests are often made by city-pair (such as "show me flights from Chicago to Düsseldorf"), an airline who is able to code share with another airline for a variety of routes might be able to be listed as indeed offering a Chicago-Düsseldorf flight. The passenger is advised however, that Airline 1 operates the flight from say Chicago to Amsterdam, and Airline 2 operates the continuing flight (on a different airplane, sometimes from another terminal) to Düsseldorf. Thus the primary rationale for code sharing is to expand one's service offerings in city-pair terms so as to increase sales. Often the companies combine IT operations, buy fuel, or purchase airplanes as a bloc in order to achieve higher bargaining power. However, the alliances have been most successful at purchasing invisible supplies and services, such as fuel. Airlines usually prefer to purchase items visible to their passengers to differentiate themselves from local competitors. If an airline's main domestic competitor flies Boeing airliners, then the airline may prefer to use Airbus aircraft regardless of what the rest of the alliance chooses. Each operator of a scheduled or charter flight uses a airline call sign when communicating with airports or air traffic control centers. Most of these call-signs are derived from the airline's trade name, but for reasons of history, marketing, or the need to reduce ambiguity in spoken English (so that pilots do not mistakenly make navigational decisions based on instructions issued to a different aircraft), some airlines and air forces use call-signs less obviously connected with their trading name. For example, British Airways uses a Speedbird call-sign, named after the logo of its predecessor, BOAC while America West used Cactus reflecting that company's home in the state of Arizona and to differentiate itself from numerous other airlines using America and West in their call signs. The industry is cyclical. Four or five years of poor performance precede five or six years of improved performance. But profitability in the good years is generally low, in the range of 2-3% net profit after interest and tax. In times of profit, airlines lease new generations of airplanes and upgrade services in response to higher demand. Since 1980, the industry has not earned back the cost of capital during the best of times. Conversely, in bad times losses can be dramatically worse.
Saturday, February 9, 2008
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