Calendrical Calculation
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Calendrical Calculation
A calendrical calculation is a calculation concerning calendar dates. Calendrical calculations can be considered an area of applied mathematics. Some examples of calendrical calculations: * Converting a Julian or Gregorian calendar date to its Julian day number and vice versa (see the section on calculation in that article for details). * The number of days between two dates, which is simply the difference in their Julian day numbers. * The dates of moveable holidays, like Christian Easter (the calculation is known as Computus) followed up by Ascension Thursday and Pentecost or Advent Sundays, or the Jewish Passover, for a given year. * Converting a date between different calendars. For instance, dates in the Gregorian calendar can be converted to dates in the Islamic calendar with the Kuwaiti algorithm. * Calculating the day of the week. Calendrical calculation is one of the five major Savant syndrome characteristics. Examples Numerical methods were described in the ''Jo ...
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Calculation
A calculation is a deliberate mathematical process that transforms one or more inputs into one or more outputs or ''results''. The term is used in a variety of senses, from the very definite arithmetical calculation of using an algorithm, to the vague heuristics of calculating a strategy in a competition, or calculating the chance of a successful relationship between two people. For example, multiplying 7 by 6 is a simple algorithmic calculation. Extracting the square root or the cube root of a number using mathematical models is a more complex algorithmic calculation. Statistical estimations of the likely election results from opinion polls also involve algorithmic calculations, but produces ranges of possibilities rather than exact answers. To ''calculate'' means to determine mathematically in the case of a number or amount, or in the case of an abstract problem to deduce the answer u ...
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Islamic Calendar
The Hijri calendar ( ar, ٱلتَّقْوِيم ٱلْهِجْرِيّ, translit=al-taqwīm al-hijrī), also known in English as the Muslim calendar and Islamic calendar, is a lunar calendar consisting of 12 lunar months in a year of 354 or 355 days. It is used to determine the proper days of Islamic holidays and rituals, such as the annual fasting and the annual season for the great pilgrimage. In almost all countries where the predominant religion is Islam, the civil calendar is the Gregorian calendar, with Syriac month-names used in the Levant and Mesopotamia (Iraq, Syria, Jordan, Lebanon and Palestine) but the religious calendar is the Hijri one. This calendar enumerates the Hijri era, whose epoch was established as the Islamic New Year in 622 CE. During that year, Muhammad and his followers migrated from Mecca to Medina and established the first Muslim community ('' ummah''), an event commemorated as the Hijrah. In the West, dates in this era are usually de ...
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The Ultimate Edition
''The Ultimate Edition'' is a limited edition 50-disc CD box set released by Klaus Schulze in 2000 collecting his previous limited edition multi-disc box sets ''Silver Edition'' (1993, 10 discs), ''Historic Edition'' (1995, 10 discs), and ''Jubilee Edition'' (1997, 25 discs), which contain unreleased archival recordings in addition to new studio material. A further five discs were added for this release. Several discs were altered and restructured from their original versions: discs 7 and 8 were extended by five minutes; discs 11, 13, 14, and 22 were slightly remastered; and discs 41 and 42 were restructured. Two tracks from ''Jubilee Edition'' were omitted ("The Unspoken Thing" from Disc 19 and "Ludwigs Traum" from Disc 21). The discs are divided into five boxes of ten discs, housed in individual cardboard sleeves. Between 2009 and 2015, tracks from this set were reissued as '' La Vie Electronique'', a series of multi-disc CD sets releasing all the material of ''The Ultimate Editio ...
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Nachum Dershowitz
Nachum Dershowitz is an Israeli computer scientist, known e.g. for the Dershowitz–Manna ordering and the multiset path ordering used to prove termination of term rewrite systems. He obtained his B.Sc. summa cum laude in 1974 in Computer Science–Applied Mathematics from Bar-Ilan University, and his Ph.D. in 1979 in Applied Mathematics from the Weizmann Institute of Science. From 1978, he worked at the Department of Computer Science of the University of Illinois at Urbana-Champaign, until he became a full professor of the Tel Aviv University (School of Computer Science) in 1998. He was a guest researcher at Weizmann Institute, INRIA, ENS Cachan, Microsoft Research, and the universities of Stanford, Paris, Jerusalem, Chicago, and Beijing. He received the Herbrand Award for Distinguished Contributions to Automatic Reasoning in 2011. He has co-authored the standard text on calendar algorithms, ''Calendrical Calculations'', with Edward Reingold.Review of ''Calendrical Calculatio ...
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Edward M
Edward is an English given name. It is derived from the Anglo-Saxon name ''Ēadweard'', composed of the elements '' ēad'' "wealth, fortune; prosperous" and '' weard'' "guardian, protector”. History The name Edward was very popular in Anglo-Saxon England, but the rule of the Norman and Plantagenet dynasties had effectively ended its use amongst the upper classes. The popularity of the name was revived when Henry III named his firstborn son, the future Edward I, as part of his efforts to promote a cult around Edward the Confessor, for whom Henry had a deep admiration. Variant forms The name has been adopted in the Iberian peninsula since the 15th century, due to Edward, King of Portugal, whose mother was English. The Spanish/Portuguese forms of the name are Eduardo and Duarte. Other variant forms include French Édouard, Italian Edoardo and Odoardo, German, Dutch, Czech and Romanian Eduard and Scandinavian Edvard. Short forms include Ed, Eddy, Eddie, Ted, Teddy and ...
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Calendrical Calculations
''Calendrical Calculations'' is a book on calendar systems and algorithms for computers to convert between them. It was written by computer scientists Nachum Dershowitz and Edward Reingold and published in 1997 by the Cambridge University Press. A second "millennium" edition with a CD-ROM of software was published in 2001, a third edition in 2008, and a fourth "ultimate" edition in 2018. Topics There have been many different calendars in different societies, and there is much difficulty in converting between them, largely because of the impossibility of reconciling the irrational ratios of the daily, monthly, and yearly astronomical cycle lengths using integers. The 14 calendars discussed in the first edition of the book included the Gregorian calendar, ISO week date, Julian calendar, Coptic calendar, Ethiopian calendar, Islamic calendar, modern Iranian calendar, Baháʼí calendar, French Republican calendar, old and modern Hindu calendars, Maya calendar, and modern Chinese ...
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Date Of Easter
As a moveable feast, the date of Easter is determined in each year through a calculation known as (). Easter is celebrated on the first Sunday after the Paschal full moon, which is the first full moon on or after 21 March (a fixed approximation of the March equinox). Determining this date in advance requires a correlation between the lunar months and the solar year, while also accounting for the month, date, and weekday of the Julian or Gregorian calendar. The complexity of the algorithm arises because of the desire to associate the date of Easter with the date of the Jewish feast of Passover which, Christians believe, is when Jesus was crucified. It was originally feasible for the entire Christian Church to receive the date of Easter each year through an annual announcement by the Pope. By the early third century, however, communications in the Roman Empire had deteriorated to the point that the church put great value in a system that would allow the clergy to determi ...
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Savant Syndrome
Savant syndrome () is a rare condition in which someone with significant mental disabilities demonstrates certain abilities far in excess of average. The skills that savants excel at are generally related to memory. This may include rapid calculation, artistic ability, map making, or musical ability. Usually, only one exceptional skill is present. Those with the condition generally have a neurodevelopmental disorder such as autism spectrum disorder or have a brain injury. About half of cases are associated with autism, and these individuals may be known as "autistic savants". While the condition usually becomes apparent in childhood, some cases develop later in life. It is not recognized as a mental disorder within the DSM-5. Savant syndrome is estimated to affect around one in a million people. The condition affects more males than females, at a ratio of 6:1. The first medical account of the condition was in 1783. Among those with autism, 1 in 10 to 1 in 200 have savant syn ...
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Calculating The Day Of The Week
The determination of the day of the week for any date may be performed with a variety of algorithms. In addition, perpetual calendars require no calculation by the user, and are essentially lookup tables. A typical application is to calculate the day of the week on which someone was born or a specific event occurred. Concepts In numerical calculation, the days of the week are represented as weekday numbers. If Monday is the first day of the week, the days may be coded 1 to 7, for Monday through Sunday, as is practiced in ISO 8601. The day designated with 7 may also be counted as ''0'', by applying the arithmetic modulo 7, which calculates the remainder of a number after division by 7. Thus, the number 7 is treated as 0, 8 as 1, 9 as 2, 18 as 4 and so on. If Sunday is counted as day 1, then 7 days later (i.e. day 8) is also a Sunday, and day 18 is the same as day 4, which is a Wednesday since this falls three days after Sunday. The basic approach of nearly all of the methods to ...
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Kuwaiti Algorithm
The Tabular Islamic calendar ( ar, التقويم الهجري المجدول, altaqwim alhijriu almujadwal) is a rule-based variation of the Islamic calendar. It has the same numbering of years and months, but the months are determined by arithmetical rules rather than by observation or astronomical calculations. It was developed by early Muslim astronomers of the second hijra century (the 8th century of the Common Era) to provide a predictable time base for calculating the positions of the moon, sun, and planets. It is now used by historians to convert an Islamic date into a Western calendar when no other information (like the day of the week) is available. Its calendar era is the Hijri year. An example is the Fatimid or Misri calendar. It is used by some Muslims in everyday life, particularly in Ismaili and Shi'a communities, believing that this calendar was developed by Ali. It is believed that when Ali drew up this calendar, the previous events of the earlier prophets also ...
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Passover
Passover, also called Pesach (; ), is a major Jewish holiday that celebrates the Biblical story of the Israelites escape from slavery in Egypt, which occurs on the 15th day of the Hebrew month of Nisan, the first month of Aviv, or spring. The word ''Pesach'' or ''Passover'' can also refer to the Korban Pesach, the paschal lamb that was offered when the Temple in Jerusalem stood; to the Passover Seder, the ritual meal on Passover night; or to the Feast of Unleavened Bread. One of the biblically ordained Three Pilgrimage Festivals, Passover is traditionally celebrated in the Land of Israel for seven days and for eight days among many Jews in the Diaspora, based on the concept of . In the Bible, the seven-day holiday is known as Chag HaMatzot, the feast of unleavened bread ( matzo). According to the Book of Exodus, God commanded Moses to tell the Israelites to mark a lamb's blood above their doors in order that the Angel of Death would pass over them (i.e., that they ...
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Calendar Date
A calendar date is a reference to a particular day represented within a calendar system. The calendar date allows the specific day to be identified. The number of days between two dates may be calculated. For example, "25 " is ten days after "15 ". The date of a particular event depends on the observed time zone. For example, the air attack on Pearl Harbor that began at 7:48 a.m. Hawaiian time on 7 December 1941 took place at 3:18 a.m. Japan Standard Time, 8 December in Japan. A particular day may be assigned a different nominal date according to the calendar used, so an identifying suffix may be needed where ambiguity may arise. The Gregorian calendar is the world's most widely used civil calendar, and is designated (in English) as AD or CE. Many cultures use religious or regnal calendars such as the Gregorian ( Western Christendom, AD), Hebrew calendar (Judaism, AM), the Hijri calendars (Islam, AH), Julian calendar (Eastern Christendom, AD) or any other of ...
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