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68-937: Coordinates : 43°51′45″N 5°18′28″E / 43.86250°N 5.30778°E / 43.86250; 5.30778 Bridge in Vaucluse, France Pont Julien [REDACTED] Pont Julien Coordinates 43°51′45″N 5°18′28″E / 43.86250°N 5.30778°E / 43.86250; 5.30778 Carries Via Domitia Crosses Calavon Locale Near Bonnieux , Vaucluse , France Characteristics Design Arch bridge Material Limestone Total length 85 m Width 5.50 m Longest span 16.3 m No. of spans 3 Clearance below 9 m History Construction end 3 BC Location [REDACTED] The Pont Julien ( French pronunciation: [pɔ̃ ʒyljɛ̃] , Julian Bridge )
136-505: A tan ϕ {\displaystyle \textstyle {\tan \beta ={\frac {b}{a}}\tan \phi }\,\!} ; for the GRS 80 and WGS 84 spheroids, b a = 0.99664719 {\textstyle {\tfrac {b}{a}}=0.99664719} . ( β {\displaystyle \textstyle {\beta }\,\!} is known as the reduced (or parametric) latitude ). Aside from rounding, this
204-460: A datum transformation such as a Helmert transformation , although in certain situations a simple translation may be sufficient. Datums may be global, meaning that they represent the whole Earth, or they may be local, meaning that they represent an ellipsoid best-fit to only a portion of the Earth. Examples of global datums include World Geodetic System (WGS 84, also known as EPSG:4326 ),
272-467: A 12-digit Standard Book Number of 345-24223-8-595 (valid SBN: 345-24223-8, ISBN: 0-345-24223-8), and it cost US$ 5.95 . Since 1 January 2007, ISBNs have contained thirteen digits, a format that is compatible with " Bookland " European Article Numbers , which have 13 digits. Since 2016, ISBNs have also been used to identify mobile games by China's Administration of Press and Publication . The United States , with 3.9 million registered ISBNs in 2020,
340-467: A different ISBN, but an unchanged reprint of the hardcover edition keeps the same ISBN. The ISBN is ten digits long if assigned before 2007, and thirteen digits long if assigned on or after 1 January 2007. The method of assigning an ISBN is nation-specific and varies between countries, often depending on how large the publishing industry is within a country. The first version of the ISBN identification format
408-400: A given ISBN is complicated, because most of the parts do not use a fixed number of digits. ISBN issuance is country-specific, in that ISBNs are issued by the ISBN registration agency that is responsible for that country or territory regardless of the publication language. The ranges of ISBNs assigned to any particular country are based on the publishing profile of the country concerned, and so
476-608: A point on Earth's surface is the angle east or west of a reference meridian to another meridian that passes through that point. All meridians are halves of great ellipses (often called great circles ), which converge at the North and South Poles. The meridian of the British Royal Observatory in Greenwich , in southeast London, England, is the international prime meridian , although some organizations—such as
544-473: A region of the surface of the Earth. Some newer datums are bound to the center of mass of the Earth. This combination of mathematical model and physical binding mean that anyone using the same datum will obtain the same location measurement for the same physical location. However, two different datums will usually yield different location measurements for the same physical location, which may appear to differ by as much as several hundred meters; this not because
612-494: A similar kind, the International Standard Serial Number (ISSN), identifies periodical publications such as magazines and newspapers . The International Standard Music Number (ISMN) covers musical scores . The Standard Book Number (SBN) is a commercial system using nine-digit code numbers to identify books. In 1965, British bookseller and stationers WHSmith announced plans to implement
680-468: A standard numbering system for its books. They hired consultants to work on their behalf, and the system was devised by Gordon Foster , emeritus professor of statistics at Trinity College Dublin . The International Organization for Standardization (ISO) Technical Committee on Documentation sought to adapt the British SBN for international use. The ISBN identification format was conceived in 1967 in
748-401: A systematic pattern, which allows their length to be determined, as follows: A check digit is a form of redundancy check used for error detection , the decimal equivalent of a binary check bit . It consists of a single digit computed from the other digits in the number. The method for the 10-digit ISBN is an extension of that for SBNs, so the two systems are compatible; an SBN prefixed with
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#1732765796318816-461: A zero (the 10-digit ISBN) will give the same check digit as the SBN without the zero. The check digit is base eleven, and can be an integer between 0 and 9, or an 'X'. The system for 13-digit ISBNs is not compatible with SBNs and will, in general, give a different check digit from the corresponding 10-digit ISBN, so does not provide the same protection against transposition. This is because the 13-digit code
884-564: A zero to a 9-digit SBN creates a valid 10-digit ISBN. The national ISBN agency assigns the registrant element ( cf. Category:ISBN agencies ) and an accompanying series of ISBNs within that registrant element to the publisher; the publisher then allocates one of the ISBNs to each of its books. In most countries, a book publisher is not legally required to assign an ISBN, although most large bookstores only handle publications that have ISBNs assigned to them. The International ISBN Agency maintains
952-411: Is 6,367,449 m . Since the Earth is an oblate spheroid , not spherical, that result can be off by several tenths of a percent; a better approximation of a longitudinal degree at latitude ϕ {\displaystyle \phi } is where Earth's equatorial radius a {\displaystyle a} equals 6,378,137 m and tan β = b
1020-480: Is 110.6 km. The circles of longitude, meridians, meet at the geographical poles, with the west–east width of a second naturally decreasing as latitude increases. On the Equator at sea level, one longitudinal second measures 30.92 m, a longitudinal minute is 1855 m and a longitudinal degree is 111.3 km. At 30° a longitudinal second is 26.76 m, at Greenwich (51°28′38″N) 19.22 m, and at 60° it
1088-522: Is 15.42 m. On the WGS 84 spheroid, the length in meters of a degree of latitude at latitude ϕ (that is, the number of meters you would have to travel along a north–south line to move 1 degree in latitude, when at latitude ϕ ), is about The returned measure of meters per degree latitude varies continuously with latitude. Similarly, the length in meters of a degree of longitude can be calculated as (Those coefficients can be improved, but as they stand
1156-477: Is 7, and the complete sequence is ISBN 978-0-306-40615-7. In general, the ISBN check digit is calculated as follows. Let Then This check system—similar to the UPC check digit formula—does not catch all errors of adjacent digit transposition. Specifically, if the difference between two adjacent digits is 5, the check digit will not catch their transposition. For instance, the above example allows this situation with
1224-530: Is a Roman stone arch bridge over the Calavon river, in the south-east of France , dating from 3 BC. The supporting columns are notable for openings to allow floodwater to pass through. It is located in the territory of the commune of Bonnieux , north of the village of the same name, and 8 km west of Apt . Originally, it was built on the Via Domitia , an important Roman road which connected Italy to
1292-400: Is a multiple of 11. That is, if x i is the i th digit, then x 10 must be chosen such that: For example, for an ISBN-10 of 0-306-40615-2: Formally, using modular arithmetic , this is rendered It is also true for ISBN-10s that the sum of all ten digits, each multiplied by its weight in ascending order from 1 to 10, is a multiple of 11. For this example: Formally, this
1360-485: Is a numeric commercial book identifier that is intended to be unique. Publishers purchase or receive ISBNs from an affiliate of the International ISBN Agency. A different ISBN is assigned to each separate edition and variation of a publication, but not to a simple reprinting of an existing item. For example, an e-book , a paperback and a hardcover edition of the same book must each have
1428-424: Is available on the International ISBN Agency website. A list for a few countries is given below: The ISBN registration group element is a 1-to-5-digit number that is valid within a single prefix element (i.e. one of 978 or 979), and can be separated between hyphens, such as "978-1-..." . Registration groups have primarily been allocated within the 978 prefix element. The single-digit registration groups within
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#17327657963181496-456: Is known as a graticule . The origin/zero point of this system is located in the Gulf of Guinea about 625 km (390 mi) south of Tema , Ghana , a location often facetiously called Null Island . In order to use the theoretical definitions of latitude, longitude, and height to precisely measure actual locations on the physical earth, a geodetic datum must be used. A horizonal datum
1564-402: Is not needed, but it may be considered to simplify the calculation.) For example, the check digit for the ISBN of 0-306-40615- ? is calculated as follows: Thus the check digit is 2. It is possible to avoid the multiplications in a software implementation by using two accumulators. Repeatedly adding t into s computes the necessary multiples: The modular reduction can be done once at
1632-475: Is on Wikidata Pages using the Kartographer extension Geographic coordinate system A geographic coordinate system ( GCS ) is a spherical or geodetic coordinate system for measuring and communicating positions directly on Earth as latitude and longitude . It is the simplest, oldest and most widely used of the various spatial reference systems that are in use, and forms
1700-414: Is rendered The two most common errors in handling an ISBN (e.g. when typing it or writing it down) are a single altered digit or the transposition of adjacent digits. It can be proven mathematically that all pairs of valid ISBN-10s differ in at least two digits. It can also be proven that there are no pairs of valid ISBN-10s with eight identical digits and two transposed digits (these proofs are true because
1768-669: Is the exact distance along a parallel of latitude; getting the distance along the shortest route will be more work, but those two distances are always within 0.6 m of each other if the two points are one degree of longitude apart. Like any series of multiple-digit numbers, latitude-longitude pairs can be challenging to communicate and remember. Therefore, alternative schemes have been developed for encoding GCS coordinates into alphanumeric strings or words: These are not distinct coordinate systems, only alternative methods for expressing latitude and longitude measurements. ISBN (identifier) The International Standard Book Number ( ISBN )
1836-465: Is used to precisely measure latitude and longitude, while a vertical datum is used to measure elevation or altitude. Both types of datum bind a mathematical model of the shape of the earth (usually a reference ellipsoid for a horizontal datum, and a more precise geoid for a vertical datum) to the earth. Traditionally, this binding was created by a network of control points , surveyed locations at which monuments are installed, and were only accurate for
1904-481: The International Date Line , which diverges from it in several places for political and convenience reasons, including between far eastern Russia and the far western Aleutian Islands . The combination of these two components specifies the position of any location on the surface of Earth, without consideration of altitude or depth. The visual grid on a map formed by lines of latitude and longitude
1972-415: The publisher , "01381" is the serial number assigned by the publisher, and "8" is the check digit . By prefixing a zero, this can be converted to ISBN 0-340-01381-8 ; the check digit does not need to be re-calculated. Some publishers, such as Ballantine Books , would sometimes use 12-digit SBNs where the last three digits indicated the price of the book; for example, Woodstock Handmade Houses had
2040-448: The 13-digit ISBN, as follows: A 13-digit ISBN can be separated into its parts ( prefix element , registration group , registrant , publication and check digit ), and when this is done it is customary to separate the parts with hyphens or spaces. Separating the parts ( registration group , registrant , publication and check digit ) of a 10-digit ISBN is also done with either hyphens or spaces. Figuring out how to correctly separate
2108-680: The 1st century BC Buildings and structures in Vaucluse Transport in Provence-Alpes-Côte d'Azur Tourist attractions in Vaucluse Hidden categories: Pages using gadget WikiMiniAtlas Articles with short description Short description is different from Wikidata Coordinates on Wikidata Infobox mapframe without OSM relation ID on Wikidata Pages with French IPA CS1 maint: location missing publisher Commons category link
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2176-526: The 1st or 2nd century, Marinus of Tyre compiled an extensive gazetteer and mathematically plotted world map using coordinates measured east from a prime meridian at the westernmost known land, designated the Fortunate Isles , off the coast of western Africa around the Canary or Cape Verde Islands , and measured north or south of the island of Rhodes off Asia Minor . Ptolemy credited him with
2244-432: The 6 followed by a 1. The correct order contributes 3 × 6 + 1 × 1 = 19 to the sum; while, if the digits are transposed (1 followed by a 6), the contribution of those two digits will be 3 × 1 + 1 × 6 = 9 . However, 19 and 9 are congruent modulo 10, and so produce the same, final result: both ISBNs will have a check digit of 7. The ISBN-10 formula uses the prime modulus 11 which avoids this blind spot, but requires more than
2312-473: The 978-prefix element are: 0 or 1 for English-speaking countries; 2 for French-speaking countries; 3 for German-speaking countries; 4 for Japan; 5 for Russian-speaking countries; and 7 for People's Republic of China. Example 5-digit registration groups are 99936 and 99980, for Bhutan. The allocated registration groups are: 0–5, 600–631, 65, 7, 80–94, 950–989, 9910–9989, and 99901–99993. Books published in rare languages typically have longer group elements. Within
2380-583: The 979 prefix element, the registration group 0 is reserved for compatibility with International Standard Music Numbers (ISMNs), but such material is not actually assigned an ISBN. The registration groups within prefix element 979 that have been assigned are 8 for the United States of America, 10 for France, 11 for the Republic of Korea, and 12 for Italy. The original 9-digit standard book number (SBN) had no registration group identifier, but prefixing
2448-4247: The Cavalon upriver of the bridge [REDACTED] View of the bridge on an old postcard [REDACTED] The dry riverbed of the Calavon and the main arch of the bridge [REDACTED] Pont Julien in March See also [ edit ] List of bridges in France List of Roman bridges Roman architecture Roman engineering References [ edit ] Murati, Philippe (1994). Ponts de Provence . Nice. pp. 19–20. {{ cite book }} : CS1 maint: location missing publisher ( link ) O’Connor, Colin (1993), Roman Bridges , Cambridge University Press, pp. 96f. (G5), ISBN 0-521-39326-4 External links [ edit ] [REDACTED] Media related to Pont Julien at Wikimedia Commons Pont Julien at Structurae Traianus – Technical investigation of Roman public works v t e Roman bridges England Chesters Bridge Piercebridge Roman Bridge Pons Aelius [REDACTED] France Pont Ambroix Pont de Bornègre Pont des Marchands Pont du Gard Pont Flavien Pont Julien Pont Serme Pont sur la Laye Roman Bridge (Saint-Thibéry) Roman Bridge (Vaison-la-Romaine) Germany Caesar's Rhine bridges Roman Bridge (Trier) Iran Band-e Kaisar Italy Pons Aemilius Pons Agrippae Ponte Altinate Pons Cestius Pons Fabricius Pons Neronianus Pons Probi Pons Sublicius Pont d'Aël Pont de Pierre (Aosta) Pont-Saint-Martin Ponte d'Augusto (Narni) Ponte di Tiberio Ponte Corvo Ponte del Gran Caso Ponte Milvio Ponte Molino (Padua) Ponte Nomentano Ponte Pietra (Verona) Ponte di Pioraco Ponte di Quintodecimo Ponte Salario Ponte San Lorenzo Ponte di San Vito Ponte Sant'Angelo Susegana Bridge Lebanon Leontes Bridge Portugal Ponte de Rubiães Ponte Nova da Cava da Velha Roman Bridge (Chaves) Roman Bridge of Catribana Romania Constantine's Bridge (Danube) Trajan's Bridge Spain Acueducto de los Milagros Albarregas Roman bridge Alconétar Bridge Aqueduct of Segovia Alcántara Bridge Les Ferreres Aqueduct Puente de Alcántara Puente Romano, Mérida Roman bridge of Ávila Roman bridge of Córdoba Roman bridge of Lugo Roman bridge of Salamanca Roman bridge of Talamanca de Jarama Syria Ain Diwar Bridge Bridge at Nimreh Gemarrin Bridge Kharaba Bridge Turkey Aesepus Bridge Arapsu Bridge Bridge at Oinoanda Constantine's Bridge (Mysia) Eurymedon Bridge (Aspendos) Eurymedon Bridge (Selge) Karamagara Bridge Kemer Bridge Limyra Bridge Misis Bridge Macestus Bridge Nysa Bridge Penkalas Bridge Pergamon Bridge Sangarius Bridge Severan Bridge Stone Bridge (Adana) Valens Aqueduct Bridge White Bridge (Mysia) Full list of Roman bridges Authority control databases : Geographic [REDACTED] Mérimée Structurae Pleiades Retrieved from " https://en.wikipedia.org/w/index.php?title=Pont_Julien&oldid=1254453242 " Categories : Roman bridges in France Deck arch bridges Stone bridges in France Bridges completed in
2516-506: The Earth's surface move relative to each other due to continental plate motion, subsidence, and diurnal Earth tidal movement caused by the Moon and the Sun. This daily movement can be as much as a meter. Continental movement can be up to 10 cm a year, or 10 m in a century. A weather system high-pressure area can cause a sinking of 5 mm . Scandinavia is rising by 1 cm a year as a result of
2584-729: The European ED50 , and the British OSGB36 . Given a location, the datum provides the latitude ϕ {\displaystyle \phi } and longitude λ {\displaystyle \lambda } . In the United Kingdom there are three common latitude, longitude, and height systems in use. WGS 84 differs at Greenwich from the one used on published maps OSGB36 by approximately 112 m. The military system ED50 , used by NATO , differs from about 120 m to 180 m. Points on
2652-536: The French Institut national de l'information géographique et forestière —continue to use other meridians for internal purposes. The prime meridian determines the proper Eastern and Western Hemispheres , although maps often divide these hemispheres further west in order to keep the Old World on a single side. The antipodal meridian of Greenwich is both 180°W and 180°E. This is not to be conflated with
2720-416: The ISBN is less than eleven digits long and because 11 is a prime number ). The ISBN check digit method therefore ensures that it will always be possible to detect these two most common types of error, i.e., if either of these types of error has occurred, the result will never be a valid ISBN—the sum of the digits multiplied by their weights will never be a multiple of 11. However, if the error were to occur in
2788-513: The International ISBN Agency as the registration authority for ISBN worldwide and the ISBN Standard is developed under the control of ISO Technical Committee 46/Subcommittee 9 TC 46/SC 9 . The ISO on-line facility only refers back to 1978. An SBN may be converted to an ISBN by prefixing the digit "0". For example, the second edition of Mr. J. G. Reeder Returns , published by Hodder in 1965, has "SBN 340 01381 8" , where "340" indicates
Pont Julien - Misplaced Pages Continue
2856-603: The Roman territories in France. It was used for car traffic until 2005, when a replacement bridge was built to preserve it from wear and tear. It is still used as bike- and footpath. This amounts to approximately 2000 years of uninterrupted use. Gallery [ edit ] [REDACTED] View of the Pont Julien [REDACTED] View of the underside of one of the arches [REDACTED] The modern bridge crossing
2924-456: The United Kingdom by David Whitaker (regarded as the "Father of the ISBN") and in 1968 in the United States by Emery Koltay (who later became director of the U.S. ISBN agency R. R. Bowker ). The 10-digit ISBN format was developed by the ISO and was published in 1970 as international standard ISO 2108. The United Kingdom continued to use the nine-digit SBN code until 1974. ISO has appointed
2992-657: The allocations of ISBNs that they make to publishers. For example, a large publisher may be given a block of ISBNs where fewer digits are allocated for the registrant element and many digits are allocated for the publication element; likewise, countries publishing many titles have few allocated digits for the registration group identifier and many for the registrant and publication elements. Here are some sample ISBN-10 codes, illustrating block length variations. English-language registration group elements are 0 and 1 (2 of more than 220 registration group elements). These two registration group elements are divided into registrant elements in
3060-532: The basis for most others. Although latitude and longitude form a coordinate tuple like a cartesian coordinate system , the geographic coordinate system is not cartesian because the measurements are angles and are not on a planar surface. A full GCS specification, such as those listed in the EPSG and ISO 19111 standards, also includes a choice of geodetic datum (including an Earth ellipsoid ), as different datums will yield different latitude and longitude values for
3128-577: The center of the Earth. Lines joining points of the same latitude trace circles on the surface of Earth called parallels , as they are parallel to the Equator and to each other. The North Pole is 90° N; the South Pole is 90° S. The 0° parallel of latitude is designated the Equator , the fundamental plane of all geographic coordinate systems. The Equator divides the globe into Northern and Southern Hemispheres . The longitude λ of
3196-466: The check digit itself). Each digit, from left to right, is alternately multiplied by 1 or 3, then those products are summed modulo 10 to give a value ranging from 0 to 9. Subtracted from 10, that leaves a result from 1 to 10. A zero replaces a ten, so, in all cases, a single check digit results. For example, the ISBN-13 check digit of 978-0-306-40615- ? is calculated as follows: Thus, the check digit
3264-419: The check digit must equal either 0 or 11. Therefore, the check digit is (11 minus the remainder of the sum of the products modulo 11) modulo 11. Taking the remainder modulo 11 a second time accounts for the possibility that the first remainder is 0. Without the second modulo operation, the calculation could result in a check digit value of 11 − 0 = 11 , which is invalid. (Strictly speaking, the first "modulo 11"
3332-411: The complete sequence is ISBN 0-306-40615-2. If the value of x 10 {\displaystyle x_{10}} required to satisfy this condition is 10, then an 'X' should be used. Alternatively, modular arithmetic is convenient for calculating the check digit using modulus 11. The remainder of this sum when it is divided by 11 (i.e. its value modulo 11), is computed. This remainder plus
3400-649: The default datum used for the Global Positioning System , and the International Terrestrial Reference System and Frame (ITRF), used for estimating continental drift and crustal deformation . The distance to Earth's center can be used both for very deep positions and for positions in space. Local datums chosen by a national cartographical organization include the North American Datum ,
3468-478: The details of over one million ISBN prefixes and publishers in the Global Register of Publishers . This database is freely searchable over the internet. Publishers receive blocks of ISBNs, with larger blocks allotted to publishers expecting to need them; a small publisher may receive ISBNs of one or more digits for the registration group identifier, several digits for the registrant, and a single digit for
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#17327657963183536-490: The distance they give is correct within a centimeter.) The formulae both return units of meters per degree. An alternative method to estimate the length of a longitudinal degree at latitude ϕ {\displaystyle \phi } is to assume a spherical Earth (to get the width per minute and second, divide by 60 and 3600, respectively): where Earth's average meridional radius M r {\displaystyle \textstyle {M_{r}}\,\!}
3604-437: The end, as shown above (in which case s could hold a value as large as 496, for the invalid ISBN 99999-999-9-X), or s and t could be reduced by a conditional subtract after each addition. Appendix 1 of the International ISBN Agency's official user manual describes how the 13-digit ISBN check digit is calculated. The ISBN-13 check digit, which is the last digit of the ISBN, must range from 0 to 9 and must be such that
3672-474: The full adoption of longitude and latitude, rather than measuring latitude in terms of the length of the midsummer day. Ptolemy's 2nd-century Geography used the same prime meridian but measured latitude from the Equator instead. After their work was translated into Arabic in the 9th century, Al-Khwārizmī 's Book of the Description of the Earth corrected Marinus' and Ptolemy's errors regarding
3740-781: The length of the Mediterranean Sea , causing medieval Arabic cartography to use a prime meridian around 10° east of Ptolemy's line. Mathematical cartography resumed in Europe following Maximus Planudes ' recovery of Ptolemy's text a little before 1300; the text was translated into Latin at Florence by Jacopo d'Angelo around 1407. In 1884, the United States hosted the International Meridian Conference , attended by representatives from twenty-five nations. Twenty-two of them agreed to adopt
3808-461: The location has moved, but because the reference system used to measure it has shifted. Because any spatial reference system or map projection is ultimately calculated from latitude and longitude, it is crucial that they clearly state the datum on which they are based. For example, a UTM coordinate based on WGS84 will be different than a UTM coordinate based on NAD27 for the same location. Converting coordinates from one datum to another requires
3876-595: The longitude of the Royal Observatory in Greenwich , England as the zero-reference line. The Dominican Republic voted against the motion, while France and Brazil abstained. France adopted Greenwich Mean Time in place of local determinations by the Paris Observatory in 1911. The latitude ϕ of a point on Earth's surface is the angle between the equatorial plane and the straight line that passes through that point and through (or close to)
3944-463: The melting of the ice sheets of the last ice age , but neighboring Scotland is rising by only 0.2 cm . These changes are insignificant if a local datum is used, but are statistically significant if a global datum is used. On the GRS 80 or WGS 84 spheroid at sea level at the Equator, one latitudinal second measures 30.715 m , one latitudinal minute is 1843 m and one latitudinal degree
4012-502: The publication element. Once that block of ISBNs is used, the publisher may receive another block of ISBNs, with a different registrant element. Consequently, a publisher may have different allotted registrant elements. There also may be more than one registration group identifier used in a country. This might occur once all the registrant elements from a particular registration group have been allocated to publishers. By using variable block lengths, registration agencies are able to customise
4080-428: The publishing house and remain undetected, the book would be issued with an invalid ISBN. In contrast, it is possible for other types of error, such as two altered non-transposed digits, or three altered digits, to result in a valid ISBN (although it is still unlikely). Each of the first nine digits of the 10-digit ISBN—excluding the check digit itself—is multiplied by its (integer) weight, descending from 10 to 2, and
4148-475: The ranges will vary depending on the number of books and the number, type, and size of publishers that are active. Some ISBN registration agencies are based in national libraries or within ministries of culture and thus may receive direct funding from the government to support their services. In other cases, the ISBN registration service is provided by organisations such as bibliographic data providers that are not government funded. A full directory of ISBN agencies
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#17327657963184216-405: The same book must each have a different ISBN assigned to it. The ISBN is thirteen digits long if assigned on or after 1 January 2007, and ten digits long if assigned before 2007. An International Standard Book Number consists of four parts (if it is a 10-digit ISBN) or five parts (for a 13-digit ISBN). Section 5 of the International ISBN Agency's official user manual describes the structure of
4284-512: The same location. The invention of a geographic coordinate system is generally credited to Eratosthenes of Cyrene , who composed his now-lost Geography at the Library of Alexandria in the 3rd century BC. A century later, Hipparchus of Nicaea improved on this system by determining latitude from stellar measurements rather than solar altitude and determining longitude by timings of lunar eclipses , rather than dead reckoning . In
4352-415: The sum of all the thirteen digits, each multiplied by its (integer) weight, alternating between 1 and 3, is a multiple of 10 . As ISBN-13 is a subset of EAN-13 , the algorithm for calculating the check digit is exactly the same for both. Formally, using modular arithmetic , this is rendered: The calculation of an ISBN-13 check digit begins with the first twelve digits of the 13-digit ISBN (thus excluding
4420-430: The sum of these nine products found. The value of the check digit is simply the one number between 0 and 10 which, when added to this sum, means the total is a multiple of 11. For example, the check digit for an ISBN-10 of 0-306-40615- ? is calculated as follows: Adding 2 to 130 gives a multiple of 11 (because 132 = 12×11)—this is the only number between 0 and 10 which does so. Therefore, the check digit has to be 2, and
4488-545: Was by far the biggest user of the ISBN identifier in 2020, followed by the Republic of Korea (329,582), Germany (284,000), China (263,066), the UK (188,553) and Indonesia (144,793). Lifetime ISBNs registered in the United States are over 39 million as of 2020. A separate ISBN is assigned to each edition and variation (except reprintings) of a publication. For example, an ebook, audiobook , paperback, and hardcover edition of
4556-604: Was devised in 1967, based upon the 9-digit Standard Book Numbering ( SBN ) created in 1966. The 10-digit ISBN format was developed by the International Organization for Standardization (ISO) and was published in 1970 as international standard ISO 2108 (any 9-digit SBN can be converted to a 10-digit ISBN by prefixing it with a zero). Privately published books sometimes appear without an ISBN. The International ISBN Agency sometimes assigns ISBNs to such books on its own initiative. A separate identifier code of
4624-532: Was required to be compatible with the EAN format, and hence could not contain the letter 'X'. According to the 2001 edition of the International ISBN Agency's official user manual, the ISBN-10 check digit (which is the last digit of the 10-digit ISBN) must range from 0 to 10 (the symbol 'X' is used for 10), and must be such that the sum of the ten digits, each multiplied by its (integer) weight, descending from 10 to 1,
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