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11th
11 (eleven) is the natural number following 10 and preceding 12. It is the first repdigit. In English, it is the smallest positive integer whose name has three syllables. Name "Eleven" derives from the Old English ', which is first attested in Bede's late 9th-century ''Ecclesiastical History of the English People''. It has cognates in every Germanic language (for example, German ), whose Proto-Germanic ancestor has been reconstructed as , from the prefix (adjectival "one") and suffix , of uncertain meaning. It is sometimes compared with the Lithuanian ', though ' is used as the suffix for all numbers from 11 to 19 (analogously to "-teen"). The Old English form has closer cognates in Old Frisian, Saxon, and Norse, whose ancestor has been reconstructed as . This was formerly thought to be derived from Proto-Germanic ("ten"); it is now sometimes connected with or ("left; remaining"), with the implicit meaning that "one is left" after counting to ten.''Oxford English Diction ...
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Old Norse
Old Norse, Old Nordic, or Old Scandinavian, is a stage of development of North Germanic languages, North Germanic dialects before their final divergence into separate Nordic languages. Old Norse was spoken by inhabitants of Scandinavia and their Viking expansion, overseas settlements and chronologically coincides with the Viking Age, the Christianization of Scandinavia and the consolidation of Scandinavian kingdoms from about the 7th to the 15th centuries. The Proto-Norse language developed into Old Norse by the 8th century, and Old Norse began to develop into the modern North Germanic languages in the mid-to-late 14th century, ending the language phase known as Old Norse. These dates, however, are not absolute, since written Old Norse is found well into the 15th century. Old Norse was divided into three dialects: Old West Norse, ''Old West Norse'' or ''Old West Nordic'' (often referred to as ''Old Norse''), Old East Norse, ''Old East Norse'' or ''Old East Nordic'', and ''Ol ...
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Ecclesiastical History Of The English People
The ''Ecclesiastical History of the English People'' ( la, Historia ecclesiastica gentis Anglorum), written by Bede in about AD 731, is a history of the Christian Churches in England, and of England generally; its main focus is on the conflict between the pre-Schism Roman Rite and Celtic Christianity. It was composed in Latin, and is believed to have been completed in 731 when Bede was approximately 59 years old. It is considered one of the most important original references on Anglo-Saxon history, and has played a key role in the development of an English national identity. Overview The ''Historia ecclesiastica gentis Anglorum'', or ''An Ecclesiastical History of the English People'' is Bede's best-known work, completed in about 731. The first of the five books begins with some geographical background and then sketches the history of England, beginning with Julius Caesar's invasion in 55 BC. A brief account of Christianity in Roman Britain, including the martyrdom of St Alban ...
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Bede
Bede ( ; ang, Bǣda , ; 672/326 May 735), also known as Saint Bede, The Venerable Bede, and Bede the Venerable ( la, Beda Venerabilis), was an English monk at the monastery of St Peter and its companion monastery of St Paul in the Kingdom of Northumbria of the Angles (contemporarily Monkwearmouth–Jarrow Abbey in Tyne and Wear, England). Born on lands belonging to the twin monastery of Monkwearmouth–Jarrow in present-day Tyne and Wear, Bede was sent to Monkwearmouth at the age of seven and later joined Abbot Ceolfrith at Jarrow. Both of them survived a plague that struck in 686 and killed a majority of the population there. While Bede spent most of his life in the monastery, he travelled to several abbeys and monasteries across the British Isles, even visiting the archbishop of York and King Ceolwulf of Northumbria. He was an author, teacher (Alcuin was a student of one of his pupils), and scholar, and his most famous work, ''Ecclesiastical History of the English People ...
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Old English
Old English (, ), or Anglo-Saxon, is the earliest recorded form of the English language, spoken in England and southern and eastern Scotland in the early Middle Ages. It was brought to Great Britain by Anglo-Saxon settlement of Britain, Anglo-Saxon settlers in the mid-5th century, and the first Old English literature, Old English literary works date from the mid-7th century. After the Norman conquest of 1066, English was replaced, for a time, by Anglo-Norman language, Anglo-Norman (a langues d'oïl, relative of French) as the language of the upper classes. This is regarded as marking the end of the Old English era, since during this period the English language was heavily influenced by Anglo-Norman, developing into a phase known now as Middle English in England and Early Scots in Scotland. Old English developed from a set of Anglo-Frisian languages, Anglo-Frisian or Ingvaeonic dialects originally spoken by Germanic peoples, Germanic tribes traditionally known as the Angles, Sa ...
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Bengali Alphabet
The Bengali script or Bangla alphabet ( bn, বাংলা বর্ণমালা, ''Bangla bôrṇômala'') is the alphabet used to write the Bengali language based on the Bengali-Assamese script, and has historically been used to write Sanskrit within Bengal. It is one of the most widely adopted writing systems in the world (used by over 265 million people). From a classificatory point of view, the Bengali writing system is an abugida, i.e. its vowel graphemes are mainly realised not as independent letters, but as diacritics modifying the vowel inherent in the base letter they are added to. The Bengali writing system is written from left to right and uses a single letter case, which makes it a unicameral script, as opposed to a bicameral one like the Latin script. It is recognisable, as are some other Brahmic scripts, by a distinctive horizontal line known as a '' mātrā'' () running along the tops of the letters that links them together. The Bengali writing sys ...
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Old Saxon
Old Saxon, also known as Old Low German, was a Germanic language and the earliest recorded form of Low German (spoken nowadays in Northern Germany, the northeastern Netherlands, southern Denmark, the Americas and parts of Eastern Europe). It is a West Germanic language, closely related to the Anglo-Frisian languages. It is documented from the 8th century until the 12th century, when it gradually evolved into Middle Low German. It was spoken throughout modern northwestern Germany, primarily in the coastal regions and in the eastern Netherlands by Saxons, a Germanic tribe that inhabited the region of Saxony. It partially shares Anglo-Frisian's (Old Frisian, Old English) Ingvaeonic nasal spirant law which sets it apart from Low Franconian and Irminonic languages, such as Dutch, Luxembourgish and German. The grammar of Old Saxon was fully inflected with five grammatical cases ( nominative, accusative, genitive, dative, and instrumental), three grammatical numbers (wikt:singular, ...
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Prime Number
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, or , involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple but slow method of checking the primality of a given number n, called trial division, tests whether n is a multiple of any integer between 2 and \sqrt. Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which always pr ...
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Old Frisian
Old Frisian was a West Germanic language spoken between the 8th and 16th centuries along the North Sea coast, roughly between the mouths of the Rhine and Weser rivers. The Frisian settlers on the coast of South Jutland (today's Northern Friesland) also spoke Old Frisian, but there are no known medieval texts from this area. The language of the earlier inhabitants of the region between the Zuiderzee and Ems River (the Frisians mentioned by Tacitus) is attested in only a few personal names and place-names. Old Frisian evolved into Middle Frisian, spoken from the 16th to the 19th century. In the early Middle Ages, Frisia stretched from the area around Bruges, in what is now Belgium, to the Weser River in northern Germany . At the time, the Frisian language was spoken along the entire southern North Sea coast. This region is referred to as Greater Frisia or Magna Frisia, and many of the areas within it still treasure their Frisian heritage. However, by 1300, their territory had ...
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13 (number)
13 (thirteen) is the natural number following 12 and preceding 14. Strikingly folkloric aspects of the number 13 have been noted in various cultures around the world: one theory is that this is due to the cultures employing lunar-solar calendars (there are approximately 12.41 lunations per solar year, and hence 12 "true months" plus a smaller, and often portentous, thirteenth month). This can be witnessed, for example, in the "Twelve Days of Christmas" of Western European tradition. In mathematics The number 13 is the sixth prime number. It is a twin prime with 11, as well as a cousin prime with 17. It is the second Wilson prime, of three known (the others being 5 and 563), and the smallest emirp in decimal. 13 is: *The second star number: *The third centered square number: * A happy number and a lucky number. *A Fibonacci number, preceded by 5 and 8. *The smallest number whose fourth power can be written as a sum of two consecutive square numbers (1192 + 1202). *The s ...
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Palindromic Number
A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16461) that remains the same when its digits are reversed. In other words, it has reflectional symmetry across a vertical axis. The term ''palindromic'' is derived from palindrome, which refers to a word (such as ''rotor'' or ''racecar'') whose spelling is unchanged when its letters are reversed. The first 30 palindromic numbers (in decimal) are: : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, … . Palindromic numbers receive most attention in the realm of recreational mathematics. A typical problem asks for numbers that possess a certain property ''and'' are palindromic. For instance: * The palindromic primes are 2, 3, 5, 7, 11, 101, 131, 151, ... . * The palindromic square numbers are 0, 1, 4, 9, 121, 484, 676, 10201, 12321, ... . It is obvious that in any base there are infinitely many palindr ...
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1 (number)
1 (one, unit, unity) is a number representing a single or the only entity. 1 is also a numerical digit and represents a single unit of counting or measurement. For example, a line segment of ''unit length'' is a line segment of length 1. In conventions of sign where zero is considered neither positive nor negative, 1 is the first and smallest positive integer. It is also sometimes considered the first of the infinite sequence of natural numbers, followed by  2, although by other definitions 1 is the second natural number, following  0. The fundamental mathematical property of 1 is to be a multiplicative identity, meaning that any number multiplied by 1 equals the same number. Most if not all properties of 1 can be deduced from this. In advanced mathematics, a multiplicative identity is often denoted 1, even if it is not a number. 1 is by convention not considered a prime number; this was not universally accepted until the mid-20th century. Additionally, 1 is ...
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Twin Prime
A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term ''twin prime'' is used for a pair of twin primes; an alternative name for this is prime twin or prime pair. Twin primes become increasingly rare as one examines larger ranges, in keeping with the general tendency of gaps between adjacent primes to become larger as the numbers themselves get larger. However, it is unknown whether there are infinitely many twin primes (the so-called twin prime conjecture) or if there is a largest pair. The breakthrough work of Yitang Zhang in 2013, as well as work by James Maynard, Terence Tao and others, has made substantial progress towards proving that there are infinitely many twin primes, but at present this remains unsolved. Properties Usually the pair (2, 3) is not considered to be a pair of twin primes. ...
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