Illinois is a state in the Midwestern and Great Lakes region of the United States. It has the fifth largest gross domestic product, the sixth largest population, the 25th largest land area of all U. S. states. Illinois is noted as a microcosm of the entire United States. With Chicago in northeastern Illinois, small industrial cities and immense agricultural productivity in the north and center of the state, natural resources such as coal and petroleum in the south, Illinois has a diverse economic base, is a major transportation hub. Chicagoland, Chicago's metropolitan area, encompasses over 65% of the state's population; the Port of Chicago connects the state to international ports via two main routes: from the Great Lakes, via the Saint Lawrence Seaway, to the Atlantic Ocean and from the Great Lakes to the Mississippi River, via the Illinois Waterway to the Illinois River. The Mississippi River, the Ohio River, the Wabash River form parts of the boundaries of Illinois. For decades, Chicago's O'Hare International Airport has been ranked as one of the world's busiest airports.
Illinois has long had a reputation as a bellwether both in social and cultural terms and, through the 1980s, in politics. The capital of Illinois is Springfield, located in the central part of the state. Although today's Illinois' largest population center is in its northeast, the state's European population grew first in the west as the French settled the vast Mississippi of the Illinois Country of New France. Following the American Revolutionary War, American settlers began arriving from Kentucky in the 1780s via the Ohio River, the population grew from south to north. In 1818, Illinois achieved statehood. Following increased commercial activity in the Great Lakes after the construction of the Erie Canal, Chicago was founded in the 1830s on the banks of the Chicago River at one of the few natural harbors on the southern section of Lake Michigan. John Deere's invention of the self-scouring steel plow turned Illinois's rich prairie into some of the world's most productive and valuable farmland, attracting immigrant farmers from Germany and Sweden.
The Illinois and Michigan Canal made transportation between the Great Lakes and the Mississippi River valley faster and cheaper, new railroads carried immigrants to new homes in the country's west and shipped commodity crops to the nation's east. The state became a transportation hub for the nation. By 1900, the growth of industrial jobs in the northern cities and coal mining in the central and southern areas attracted immigrants from Eastern and Southern Europe. Illinois was an important manufacturing center during both world wars; the Great Migration from the South established a large community of African Americans in the state, including Chicago, who founded the city's famous jazz and blues cultures. Chicago, the center of the Chicago Metropolitan Area, is now recognized as a global alpha-level city. Three U. S. presidents have been elected while living in Illinois: Abraham Lincoln, Ulysses S. Grant, Barack Obama. Additionally, Ronald Reagan, whose political career was based in California, was born and raised in the state.
Today, Illinois honors Lincoln with its official state slogan Land of Lincoln, displayed on its license plates since 1954. The state is the site of the Abraham Lincoln Presidential Library and Museum in Springfield and the future home of the Barack Obama Presidential Center in Chicago. "Illinois" is the modern spelling for the early French Catholic missionaries and explorers' name for the Illinois Native Americans, a name, spelled in many different ways in the early records. American scholars thought the name "Illinois" meant "man" or "men" in the Miami-Illinois language, with the original iliniwek transformed via French into Illinois; this etymology is not supported by the Illinois language, as the word for "man" is ireniwa, plural of "man" is ireniwaki. The name Illiniwek has been said to mean "tribe of superior men", a false etymology; the name "Illinois" derives from the Miami-Illinois verb irenwe·wa - "he speaks the regular way". This was taken into the Ojibwe language in the Ottawa dialect, modified into ilinwe·.
The French borrowed these forms, changing the /we/ ending to spell it as -ois, a transliteration for its pronunciation in French of that time. The current spelling form, began to appear in the early 1670s, when French colonists had settled in the western area; the Illinois's name for themselves, as attested in all three of the French missionary-period dictionaries of Illinois, was Inoka, of unknown meaning and unrelated to the other terms. American Indians of successive cultures lived along the waterways of the Illinois area for thousands of years before the arrival of Europeans; the Koster Site demonstrates 7,000 years of continuous habitation. Cahokia, the largest regional chiefdom and urban center of the Pre-Columbian Mississippian culture, was located near present-day Collinsville, Illinois, they built an urban complex of more than 100 platform and burial mounds, a 50-acre plaza larger than 35 football fields, a woodhenge of sacred cedar, all in a planned design expressing the culture's cosmology.
Monks Mound, the center of the site, is the largest Pre-Columbian structure north of the Valley of Mexico. It is 100 feet high, 951 feet long, 836 feet wide, covers 13.8 acres. It contains about 814,000 cubic yards of earth, it was topped by a structure thought to have measured about 105 feet in length and 48 feet in width, covered an area 5,000 square feet, been as much as 50 feet high, making its peak 150 feet above the level of the pl
The New York Times
The New York Times is an American newspaper based in New York City with worldwide influence and readership. Founded in 1851, the paper has won more than any other newspaper; the Times is ranked 17th in the world by circulation and 2nd in the U. S; the paper is owned by The New York Times Company, publicly traded and is controlled by the Sulzberger family through a dual-class share structure. It has been owned by the family since 1896. G. Sulzberger, the paper's publisher, his father, Arthur Ochs Sulzberger Jr. the company's chairman, are the fourth and fifth generation of the family to helm the paper. Nicknamed "The Gray Lady", the Times has long been regarded within the industry as a national "newspaper of record"; the paper's motto, "All the News That's Fit to Print", appears in the upper left-hand corner of the front page. Since the mid-1970s, The New York Times has expanded its layout and organization, adding special weekly sections on various topics supplementing the regular news, editorials and features.
Since 2008, the Times has been organized into the following sections: News, Editorials/Opinions-Columns/Op-Ed, New York, Sports of The Times, Science, Home and other features. On Sunday, the Times is supplemented by the Sunday Review, The New York Times Book Review, The New York Times Magazine and T: The New York Times Style Magazine; the Times stayed with the broadsheet full-page set-up and an eight-column format for several years after most papers switched to six, was one of the last newspapers to adopt color photography on the front page. The New York Times was founded as the New-York Daily Times on September 18, 1851. Founded by journalist and politician Henry Jarvis Raymond and former banker George Jones, the Times was published by Raymond, Jones & Company. Early investors in the company included Edwin B. Morgan, Christopher Morgan, Edward B. Wesley. Sold for a penny, the inaugural edition attempted to address various speculations on its purpose and positions that preceded its release: We shall be Conservative, in all cases where we think Conservatism essential to the public good.
We do not believe that everything in Society is either right or wrong. In 1852, the newspaper started a western division, The Times of California, which arrived whenever a mail boat from New York docked in California. However, the effort failed. On September 14, 1857, the newspaper shortened its name to The New-York Times. On April 21, 1861, The New York Times began publishing a Sunday edition to offer daily coverage of the Civil War. One of the earliest public controversies it was involved with was the Mortara Affair, the subject of twenty editorials in the Times alone; the main office of The New York Times was attacked during the New York City Draft Riots. The riots, sparked by the beginning of drafting for the Union Army, began on July 13, 1863. On "Newspaper Row", across from City Hall, Henry Raymond stopped the rioters with Gatling guns, early machine guns, one of which he manned himself; the mob diverted, instead attacking the headquarters of abolitionist publisher Horace Greeley's New York Tribune until being forced to flee by the Brooklyn City Police, who had crossed the East River to help the Manhattan authorities.
In 1869, Henry Raymond died, George Jones took over as publisher. The newspaper's influence grew in 1870 and 1871, when it published a series of exposés on William Tweed, leader of the city's Democratic Party—popularly known as "Tammany Hall" —that led to the end of the Tweed Ring's domination of New York's City Hall. Tweed had offered The New York Times five million dollars to not publish the story. In the 1880s, The New York Times transitioned from supporting Republican Party candidates in its editorials to becoming more politically independent and analytical. In 1884, the paper supported Democrat Grover Cleveland in his first presidential campaign. While this move cost The New York Times a portion of its readership among its more progressive and Republican readers, the paper regained most of its lost ground within a few years. After George Jones died in 1891, Charles Ransom Miller and other New York Times editors raised $1 million dollars to buy the Times, printing it under the New York Times Publishing Company.
However, the newspaper was financially crippled by the Panic of 1893, by 1896, the newspaper had a circulation of less than 9,000, was losing $1,000 a day. That year, Adolph Ochs, the publisher of the Chattanooga Times, gained a controlling interest in the company for $75,000. Shortly after assuming control of the paper, Ochs coined the paper's slogan, "All The News That's Fit To Print"; the slogan has appeared in the paper since September 1896, has been printed in a box in the upper left hand corner of the front page since early 1897. The slogan was a jab at competing papers, such as Joseph Pulitzer's New York World and William Randolph Hearst's New York Journal, which were known for a lurid and inaccurate reporting of facts and opinions, described by the end of the century as "yellow journalism". Under Ochs' guidance, aided by Carr
In mathematics, a proof is an inferential argument for a mathematical statement. In the argument, other established statements, such as theorems, can be used. In principle, a proof can be traced back to self-evident or assumed statements, known as axioms, along with accepted rules of inference. Axioms may be treated as conditions. Proofs are examples of exhaustive deductive reasoning or inductive reasoning and are distinguished from empirical arguments or non-exhaustive inductive reasoning. A proof must demonstrate that a statement is always true, rather than enumerate many confirmatory cases. An unproved proposition, believed to be true is known as a conjecture. Proofs employ logic but include some amount of natural language which admits some ambiguity. In fact, the vast majority of proofs in written mathematics can be considered as applications of rigorous informal logic. Purely formal proofs, written in symbolic language instead of natural language, are considered in proof theory; the distinction between formal and informal proofs has led to much examination of current and historical mathematical practice, quasi-empiricism in mathematics, so-called folk mathematics.
The philosophy of mathematics is concerned with the role of language and logic in proofs, mathematics as a language. The word "proof" comes from the Latin probare meaning "to test". Related modern words are the English "probe", "probation", "probability", the Spanish probar, Italian provare, the German probieren; the early use of "probity" was in the presentation of legal evidence. A person of authority, such as a nobleman, was said to have probity, whereby the evidence was by his relative authority, which outweighed empirical testimony. Plausibility arguments using heuristic devices such as pictures and analogies preceded strict mathematical proof, it is that the idea of demonstrating a conclusion first arose in connection with geometry, which meant the same as "land measurement". The development of mathematical proof is the product of ancient Greek mathematics, one of the greatest achievements thereof. Thales and Hippocrates of Chios proved some theorems in geometry. Eudoxus and Theaetetus formulated did not prove them.
Aristotle said definitions should describe the concept being defined in terms of other concepts known. Mathematical proofs were revolutionized by Euclid, who introduced the axiomatic method still in use today, starting with undefined terms and axioms, used these to prove theorems using deductive logic, his book, the Elements, was read by anyone, considered educated in the West until the middle of the 20th century. In addition to theorems of geometry, such as the Pythagorean theorem, the Elements covers number theory, including a proof that the square root of two is irrational and that there are infinitely many prime numbers. Further advances took place in medieval Islamic mathematics. While earlier Greek proofs were geometric demonstrations, the development of arithmetic and algebra by Islamic mathematicians allowed more general proofs that no longer depended on geometry. In the 10th century CE, the Iraqi mathematician Al-Hashimi provided general proofs for numbers as he considered multiplication, etc. for "lines."
He used this method to provide a proof of the existence of irrational numbers. An inductive proof for arithmetic sequences was introduced in the Al-Fakhri by Al-Karaji, who used it to prove the binomial theorem and properties of Pascal's triangle. Alhazen developed the method of proof by contradiction, as the first attempt at proving the Euclidean parallel postulate. Modern proof theory treats proofs as inductively defined data structures. There is no longer an assumption; as practiced, a proof is expressed in natural language and is a rigorous argument intended to convince the audience of the truth of a statement. The standard of rigor has varied throughout history. A proof can be presented differently depending on the intended audience. In order to gain acceptance, a proof has to meet communal statements of rigor; the concept of a proof is formalized in the field of mathematical logic. A formal proof is written in a formal language instead of a natural language. A formal proof is defined as sequence of formulas in a formal language, in which each formula is a logical consequence of preceding formulas.
Having a definition of formal proof makes the concept of proof amenable to study. Indeed, the field of proof theory studies formal proofs and their properties, for example, the property that a statement has a formal proof. An application of proof theory is to show; the definition of a formal proof is intended to capture the concept of proofs as written in the practice of mathematics. The soundness of this definition amounts to the belief that a published proof can, in principle, be converted into a formal proof. However, outside the field of automated proof assistants, this is done in practice. A classic question in philosophy a
A website or Web site is a collection of related network web resources, such as web pages, multimedia content, which are identified with a common domain name, published on at least one web server. Notable examples are wikipedia.org, google.com, amazon.com. Websites can be accessed via a public Internet Protocol network, such as the Internet, or a private local area network, by a uniform resource locator that identifies the site. Websites can be used in various fashions. Websites are dedicated to a particular topic or purpose, ranging from entertainment and social networking to providing news and education. All publicly accessible websites collectively constitute the World Wide Web, while private websites, such as a company's website for its employees, are part of an intranet. Web pages, which are the building blocks of websites, are documents composed in plain text interspersed with formatting instructions of Hypertext Markup Language, they may incorporate elements from other websites with suitable markup anchors.
Web pages are accessed and transported with the Hypertext Transfer Protocol, which may optionally employ encryption to provide security and privacy for the user. The user's application a web browser, renders the page content according to its HTML markup instructions onto a display terminal. Hyperlinking between web pages conveys to the reader the site structure and guides the navigation of the site, which starts with a home page containing a directory of the site web content; some websites require user subscription to access content. Examples of subscription websites include many business sites, news websites, academic journal websites, gaming websites, file-sharing websites, message boards, web-based email, social networking websites, websites providing real-time stock market data, as well as sites providing various other services. End users can access websites on a range of devices, including desktop and laptop computers, tablet computers and smart TVs; the World Wide Web was created in 1990 by the British CERN physicist Tim Berners-Lee.
On 30 April 1993, CERN announced. Before the introduction of HTML and HTTP, other protocols such as File Transfer Protocol and the gopher protocol were used to retrieve individual files from a server; these protocols offer a simple directory structure which the user navigates and where they choose files to download. Documents were most presented as plain text files without formatting, or were encoded in word processor formats. Websites can be used in various fashions. Websites can be the work of an individual, a business or other organization, are dedicated to a particular topic or purpose. Any website can contain a hyperlink to any other website, so the distinction between individual sites, as perceived by the user, can be blurred. Websites are written in, or converted to, HTML and are accessed using a software interface classified as a user agent. Web pages can be viewed or otherwise accessed from a range of computer-based and Internet-enabled devices of various sizes, including desktop computers, tablet computers and smartphones.
A website is hosted on a computer system known as a web server called an HTTP server. These terms can refer to the software that runs on these systems which retrieves and delivers the web pages in response to requests from the website's users. Apache is the most used web server software and Microsoft's IIS is commonly used; some alternatives, such as Nginx, Hiawatha or Cherokee, are functional and lightweight. A static website is one that has web pages stored on the server in the format, sent to a client web browser, it is coded in Hypertext Markup Language. Images are used to effect the desired appearance and as part of the main content. Audio or video might be considered "static" content if it plays automatically or is non-interactive; this type of website displays the same information to all visitors. Similar to handing out a printed brochure to customers or clients, a static website will provide consistent, standard information for an extended period of time. Although the website owner may make updates periodically, it is a manual process to edit the text and other content and may require basic website design skills and software.
Simple forms or marketing examples of websites, such as classic website, a five-page website or a brochure website are static websites, because they present pre-defined, static information to the user. This may include information about a company and its products and services through text, animations, audio/video, navigation menus. Static websites can be edited using four broad categories of software: Text editors, such as Notepad or TextEdit, where content and HTML markup are manipulated directly within the editor program WYSIWYG offline editors, such as Microsoft FrontPage and Adobe Dreamweaver, with which the site is edited using a GUI and the final HTML markup is generated automatically by the editor software WYSIWYG online editors which create media rich online presentation like web pages, intro, blogs, an
Quantum computing is the use of quantum-mechanical phenomena such as superposition and entanglement to perform computation. A quantum computer is used to perform such computation, which can be implemented theoretically or physically; the field of quantum computing is a sub-field of quantum information science, which includes quantum cryptography and quantum communication. Quantum Computing was started in the early 1980s when Richard Feynman and Yuri Manin expressed the idea that a quantum computer had the potential to simulate things that a classical computer could not. In 1994, Peter Shor shocked the world with an algorithm that had the potential to decrypt all secured communications. There are two main approaches to physically implementing a quantum computer analog and digital. Analog approaches are further divided into quantum simulation, quantum annealing, adiabatic quantum computation. Digital quantum computers use quantum logic gates to do computation. Both approaches use quantum qubits.
Qubits are fundamental to quantum computing and are somewhat analogous to bits in a classical computer. Qubits can be in a 0 quantum state, but they can be in a superposition of the 1 and 0 states. However, when qubits are measured they always give a 0 or a 1 based on the quantum state they were in. Today's physical quantum computers are noisy and quantum error correction is a burgeoning field of research. Quantum supremacy is the next milestone that quantum computing will achieve soon. While there is much hope and research in the field of quantum computing, as of March 2019 there have been no commercially useful algorithms published for today's noisy quantum computers. A classical computer has a memory made up of bits, where each bit is represented by either a one or a zero. A quantum computer, on the other hand, maintains a sequence of qubits, which can represent a one, a zero, or any quantum superposition of those two qubit states. In general, a quantum computer with n qubits can be in any superposition of up to 2 n different states..
A quantum computer operates on its qubits using measurement. An algorithm is composed of a fixed sequence of quantum logic gates and a problem is encoded by setting the initial values of the qubits, similar to how a classical computer works; the calculation ends with a measurement, collapsing the system of qubits into one of the 2 n eigenstates, where each qubit is zero or one, decomposing into a classical state. The outcome can, therefore, be at most n classical bits of information. If the algorithm did not end with a measurement, the result is an unobserved quantum state. Quantum algorithms are probabilistic, in that they provide the correct solution only with a certain known probability. Note that the term non-deterministic computing must not be used in that case to mean probabilistic because the term non-deterministic has a different meaning in computer science. An example of an implementation of qubits of a quantum computer could start with the use of particles with two spin states: "down" and "up".
This is true. A quantum computer with a given number of qubits is fundamentally different from a classical computer composed of the same number of classical bits. For example, representing the state of an n-qubit system on a classical computer requires the storage of 2n complex coefficients, while to characterize the state of a classical n-bit system it is sufficient to provide the values of the n bits, that is, only n numbers. Although this fact may seem to indicate that qubits can hold exponentially more information than their classical counterparts, care must be taken not to overlook the fact that the qubits are only in a probabilistic superposition of all of their states; this means that when the final state of the qubits is measured, they will only be found in one of the possible configurations they were in before the measurement. It is incorrect to think of a system of qubits as being in one particular state before the measurement; the qubits are in a superposition of states before any measurement is made, which directly affects the possible outcomes of the computation.
To better understand this point, consider a classical computer that operates on a three-bit register. If the exact state of the register at a given time is not known, it can be described as a probability distribution over the 2 3 = 8 different three-bit strings 000, 001, 010, 011, 100, 101, 110, 111. If there is no uncertainty over its state it is in one of these states with probability 1. However, if it is a probabilistic computer there is a possibility of it being in any one of a number of different states; the state of a three-qubit quantum computer is described by an eight-dimensional vector (
Columbia University is a private Ivy League research university in Upper Manhattan, New York City. Established in 1754, Columbia is the oldest institution of higher education in New York and the fifth-oldest institution of higher learning in the United States, it is one of nine colonial colleges founded prior to the Declaration of Independence, seven of which belong to the Ivy League. It has been ranked by numerous major education publications as among the top ten universities in the world. Columbia was established as King's College by royal charter of George II of Great Britain in reaction to the founding of Princeton University in New Jersey, it was renamed Columbia College in 1784 following the Revolutionary War and in 1787 was placed under a private board of trustees headed by former students Alexander Hamilton and John Jay. In 1896, the campus was moved from Madison Avenue to its current location in Morningside Heights and renamed Columbia University. Columbia scientists and scholars have played an important role in the development of notable scientific fields and breakthroughs including: brain-computer interface.
The Columbia University Physics Department has been affiliated with 33 Nobel Prize winners as alumni, faculty or research staff, the third most of any American institution behind MIT and Harvard. In addition, 22 Nobel Prize winners in Physiology and Medicine have been affiliated with Columbia, the third most of any American institution; the university's research efforts include the Lamont-Doherty Earth Observatory, Goddard Institute for Space Studies and accelerator laboratories with major technology firms such as IBM. Columbia is one of the fourteen founding members of the Association of American Universities and was the first school in the United States to grant the M. D. degree. The university administers the Pulitzer Prize annually. Columbia is organized into twenty schools, including three undergraduate schools and numerous graduate schools, it maintains research centers outside of the United States known as Columbia Global Centers. In 2018, Columbia's undergraduate acceptance rate was 5.1%, making it one of the most selective colleges in the United States, the second most selective in the Ivy League after Harvard.
Columbia is ranked as the 3rd best university in the United States by U. S. News & World Report behind Princeton and Harvard. In athletics, the Lions field varsity teams in 29 sports as a member of the NCAA Division I Ivy League conference; the university's endowment stood at $10.9 billion in 2018, among the largest of any academic institution. As of 2018, Columbia's alumni and affiliates include: five Founding Fathers of the United States — among them an author of the United States Constitution and co-author of the Declaration of Independence. S. presidents. Discussions regarding the founding of a college in the Province of New York began as early as 1704, at which time Colonel Lewis Morris wrote to the Society for the Propagation of the Gospel in Foreign Parts, the missionary arm of the Church of England, persuading the society that New York City was an ideal community in which to establish a college. However, it was not until the founding of the College of New Jersey across the Hudson River in New Jersey that the City of New York considered founding a college.
In 1746, an act was passed by the general assembly of New York to raise funds for the foundation of a new college. In 1751, the assembly appointed a commission of ten New York residents, seven of whom were members of the Church of England, to direct the funds accrued by the state lottery towards the foundation of a college. Classes were held in July 1754 and were presided over by the college's first president, Dr. Samuel Johnson. Dr. Johnson was the only instructor of the college's first class, which consisted of a mere eight students. Instruction was held in a new schoolhouse adjoining Trinity Church, located on what is now lower Broadway in Manhattan; the college was founded on October 31, 1754, as King's College by royal charter of King George II, making it the oldest institution of higher learning in the state of New York and the fifth oldest in the United States. In 1763, Dr. Johnson was succeeded in the presidency by Myles Cooper, a graduate of The Queen's College, an ardent Tory. In the charged political climate of the American Revolution, his chief opponent in discussions at the college was an undergraduate of the class of 1777, Alexander Hamilton.
The American Revolutionary War broke out in 1776, was catastrophic for the operation of King's College, which suspended instruction for eight years beginning in 1776 with the arrival of the Continental Army. The suspension continued through the military occupation of New York City by British troops until their departure in 1783; the college's library was looted and its sole building requisitioned for use as a military hospital first by American and British forces. Loyalists were forced to abandon their King's College in New York, seized by the rebels and renamed Columbia College; the Loyalists, led by Bishop Charles Inglis fled to Windsor, Nova Scotia, where the
The iPhone 5 is a smartphone, designed and marketed by Apple Inc. It is the sixth generation of the iPhone succeeding the iPhone 4S and preceding the iPhone 5S and iPhone 5C. Formally unveiled as part of a press event on September 12, 2012, it was released on September 21, 2012; the iPhone 5 is the first iPhone to be announced in September and, setting a trend for subsequent iPhone releases, the first iPhone to be developed under the guidance of Tim Cook and the last iPhone to be overseen by Steve Jobs. The iPhone 5 featured major design changes in comparison to its predecessor; these included an aluminum-based body, thinner and lighter than previous models, a taller screen with a nearly 16:9 aspect ratio, the Apple A6 system-on-chip, LTE support, Lightning, a new compact dock connector which replaced the 30-pin design used by previous iPhone models. This was the second Apple phone to include its new Sony-made 8 MP camera, first introduced on the iPhone 4S. Apple began taking pre-orders on September 14, 2012, over two million were received within 24 hours.
Initial demand for the iPhone 5 exceeded the supply available at launch on September 21, 2012, was described by Apple as "extraordinary", with pre-orders having sold twenty times faster than its predecessors. While reception to the iPhone 5 was positive and reviewers noted hardware issues, such as an unintended purple hue in photos taken, the phone's coating being prone to chipping. Reception was mixed over Apple's decision to switch to a different dock connector design, as the change affected iPhone 5's compatibility with accessories that were otherwise compatible with previous iterations of the line; the iPhone 5 was discontinued by Apple on September 10, 2013 with the announcement of its successors, the iPhone 5S and the iPhone 5C. The iPhone 5 has the second-shortest lifespan of any iPhone produced with only twelve months in production, breaking with Apple's standard practice of selling an existing iPhone model at a reduced price upon the release of a new model; this was broken by the iPhone X which only had ten-months in production from November 2017 to September 2018.
It was replaced as a midrange and an entry-level device by the iPhone 5C. The iPhone 5 supports iOS 6, 7, 8, 9 and 10; the iPhone 5 is the second iPhone to support five major versions of iOS after the iPhone 4S. Rumors about the iPhone 5 began shortly after the announcement of the iPhone 4S, though detailed leaks did not emerge until June 2012. On July 30, 2012, reports pinpointed the dates on which the iPhone 5 would be unveiled and released, along with some accurate predictions of its features. On September 4, 2012, Apple announced they would be hosting an event at the Yerba Buena Center for the Arts in San Francisco on September 12, 2012. A shadow of the numeral 5 was featured in the invitations sent to the media, suggesting that the next iPhone would be unveiled at the event. At the unveiling, Apple announced the iPhone 5 and introduced new iPod Nano and iPod Touch models, they stated that pre-orders would be accepted starting September 14, 2012. Over two million pre-orders were received within 24 hours.
Initial demand for the new phone exceeded the record set by its predecessor, the iPhone 4S, by selling over 5 million units in the first three days. On November 30, 2012, Apple added an unlocked version of the iPhone 5 to their online US store, with the 16 GB model starting at US$649; the iPhone 5 was discontinued by Apple on September 10, 2013 with the announcement of its successors, the iPhone 5s and the iPhone 5C. While the 5C shared the same internal hardware as the iPhone 5, the 5C used a lower-cost poly-carbonate plastic case in place of the original 5's aluminum form; the introduction of the 5C deviated from Apple's previous market strategy, where the previous iPhone model would remain in production, but sold at a lower price point below the new model. On April 28, 2014, Apple initiated an out of warranty recall program to replace any failing power buttons of iPhone 5 models which were manufactured prior to March 2013 at no cost. On August 23, 2014, Apple announced a program to replace batteries of iPhone 5 models that "may experience shorter battery life or need to be charged more frequently" which were sold between September 2012 and January 2013.
Following the release of the iPhone 5, Samsung announced that it was filing a lawsuit against Apple for infringing eight of its patents. The case was scheduled to begin in 2014. In a statement, Samsung said it had "little choice but to take the steps necessary to protect our innovations and intellectual property rights". Litigation between the two involving patent infringement has been ongoing and is being fought in several court cases around the world; the components and labor required to construct the most basic iPhone 5 are estimated to cost US$207, US$19 more than the cost of components for the corresponding iPhone 4S model. The LTE module in the iPhone 5 alone costs $34, $10 more than the cellular module in the iPhone 4S. Screens used in the iPhone 5 cost $44, $7 more than the screen of its predecessor. Mashable noted that the profit margin of selling each device is "huge" as the iPhone 5 retails for US$649. After the announcement of the device, a lack of supply was evident; this was due to a shortage of components such as the screen.
Reports emerged, stating that Sharp was unable to ship the screen before the debut of the iPhone 5, other manufacturers reported that it was difficult to keep up with demand. As a result, the number of pre-orders rose due to the uncertainty of stock at retail stores, the delivery dat