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Palindrome
A palindrome is a word, number, phrase, or other sequence of symbols that reads the same backwards as forwards, such as the words ''madam'' or ''racecar'', the date and time ''11/11/11 11:11,'' and the sentence: "A man, a plan, a canal – Panama". The 19-letter Finnish word ''saippuakivikauppias'' (a soapstone vendor), is the longest single-word palindrome in everyday use, while the 12-letter term ''tattarrattat'' (from James Joyce in ''Ulysses'') is the longest in English. The word ''palindrome'' was introduced by English poet and writer Henry Peacham in 1638.Henry Peacham, ''The Truth of our Times Revealed out of One Mans Experience'', 1638p. 123/ref> The concept of a palindrome can be dated to the 3rd-century BCE, although no examples survive; the first physical examples can be dated to the 1st-century CE with the Latin acrostic word square, the Sator Square (contains both word and sentence palindromes), and the 4th-century Greek Byzantine sentence palindrome ''nipson ano ...
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Ambigram Palindrome ΝΙΨΟΝΑΝΟΜΗΜΑΤΑΜΗΜΟΝΑΝΟΨΙΝ (Wash Your Sins, Not Only Your Face, In Greek)
An ambigram is a calligraphic design that has several interpretations as written. The term was coined by Douglas Hofstadter in 1983. Most often, ambigrams appear as visually symmetrical words. When flipped, they remain unchanged, or they mutate to reveal another meaning. "Half-turn" ambigrams undergo a point reflection (180° rotational symmetry) and can be read upside down, mirror ambigrams have an axial symmetry and can be read through a reflective surface (like a mirror or a mirroring lake), and many other types of ambigrams exist. Ambigrams are found in different languages, various alphabets and the notion often extends to numbers and other symbols. It is a recent interdisciplinary concept, combining art, literature, mathematics, cognition, and optical illusions. Drawing symmetrical words constitutes also a recreational activity for amateurs. Numerous ambigram logos are famous, and ambigram tattoos have become increasingly popular. There are methods to design an ambigram, ...
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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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Sator Square
The Sator Square (or the Rotas-Sator Square, or the Templar Magic Square) is a two-dimensional acrostic class of word square containing a five-word Latin palindrome. The earliest Sator squares were found at several Roman-era sites, all in ROTAS-form, with the earliest discovery at Pompeii (and also likely pre-A.D. 62). The earliest square that included explicit additional Christian-associated imagery dates from the sixth century, and by medieval times Sator squares had been found across Europe, Asia Minor, and North Africa. ''Encyclopedia Britannica'' called it "the most familiar lettered square in the Western world". A significant volume of academic research has been published on the square, but after more than a century, there is no consensus on its origin and meaning. The discovery of the "Paternoster theory" in 1926 led to a brief consensus amongst academics that the square was created by early Christians, but the subsequent discoveries at Pompeii led many academics to ...
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Nipson Anomemata Me Monan Opsin
''Nipson anomēmata mē monan opsin'' ( grc, Νίψον ἀνομήματα, μὴ μόναν ὄψιν), meaning "Wash the sins, not only the face", or "Wash my transgressions, not only my face", is a Greek palindromeThe romanization is not a palindrome because the Greek letter ''ψ'' (psi) is transcribed by the digraph ''ps''. The modern diacritics, which are not symmetrical, are usually omitted from inscriptions of the sentence. that was inscribed upon a holy water font outside the Hagia Sophia in Constantinople: Origin The phrase is attributed to the fourth-century Saint Gregory of Nazianzus. When the sentence is rendered in capital letters, as would be usual for an inscription (ΝΙΨΟΝΑΝΟΜΗΜΑΤΑΜΗΜΟΝΑΝΟΨΙΝ), all the letters are vertically symmetrical except for the Ν. As a result, if the N is stylized Ͷ in the right half, the sentence is not only a palindrome but also a mirror ambigram. Examples The inscription can also be found in the following p ...
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Nipson Anomemata Me Monan Opsin
''Nipson anomēmata mē monan opsin'' ( grc, Νίψον ἀνομήματα, μὴ μόναν ὄψιν), meaning "Wash the sins, not only the face", or "Wash my transgressions, not only my face", is a Greek palindromeThe romanization is not a palindrome because the Greek letter ''ψ'' (psi) is transcribed by the digraph ''ps''. The modern diacritics, which are not symmetrical, are usually omitted from inscriptions of the sentence. that was inscribed upon a holy water font outside the Hagia Sophia in Constantinople: Origin The phrase is attributed to the fourth-century Saint Gregory of Nazianzus. When the sentence is rendered in capital letters, as would be usual for an inscription (ΝΙΨΟΝΑΝΟΜΗΜΑΤΑΜΗΜΟΝΑΝΟΨΙΝ), all the letters are vertically symmetrical except for the Ν. As a result, if the N is stylized Ͷ in the right half, the sentence is not only a palindrome but also a mirror ambigram. Examples The inscription can also be found in the following p ...
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Baptismal Font
A baptismal font is an article of church furniture used for baptism. Aspersion and affusion fonts The fonts of many Christian denominations are for baptisms using a non-immersive method, such as aspersion (sprinkling) or affusion (pouring). The simplest of these fonts has a pedestal (about tall) with a holder for a basin of water. The materials vary greatly consisting of carved and sculpted marble, wood, or metal. The shape can vary. Many are eight-sided as a reminder of the new creation and as a connection to the practice of circumcision, which traditionally occurs on the eighth day. Some are three-sided as a reminder of the Holy Trinity: Father, Son, and Holy Spirit. Fonts are often placed at or near the entrance to a church's nave to remind believers of their baptism as they enter the church to pray, since the rite of baptism served as their initiation into the Church. In many churches of the Middle Ages and Renaissance there was a special chapel or even a separate build ...
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Byzantine Empire
The Byzantine Empire, also referred to as the Eastern Roman Empire or Byzantium, was the continuation of the Roman Empire primarily in its eastern provinces during Late Antiquity and the Middle Ages, when its capital city was Constantinople. It survived the fragmentation and fall of the Western Roman Empire in the 5th century AD and continued to exist for an additional thousand years until the fall of Constantinople to the Ottoman Empire in 1453. During most of its existence, the empire remained the most powerful economic, cultural, and military force in Europe. The terms "Byzantine Empire" and "Eastern Roman Empire" were coined after the end of the realm; its citizens continued to refer to their empire as the Roman Empire, and to themselves as Romans—a term which Greeks continued to use for themselves into Ottoman times. Although the Roman state continued and its traditions were maintained, modern historians prefer to differentiate the Byzantine Empire from Ancient Rome ...
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Greek Palindrome On The Font
Greek may refer to: Greece Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group. *Greek language, a branch of the Indo-European language family. **Proto-Greek language, the assumed last common ancestor of all known varieties of Greek. **Mycenaean Greek, most ancient attested form of the language (16th to 11th centuries BC). **Ancient Greek, forms of the language used c. 1000–330 BC. **Koine Greek, common form of Greek spoken and written during Classical antiquity. **Medieval Greek or Byzantine Language, language used between the Middle Ages and the Ottoman conquest of Constantinople. **Modern Greek, varieties spoken in the modern era (from 1453 AD). *Greek alphabet, script used to write the Greek language. *Greek Orthodox Church, several Churches of the Eastern Orthodox Church. *Ancient Greece, the ancient civilization before the end of Antiquity. *Old Greek, the language as spoken from Late Antiquity to around 1500 AD. Other uses * '' ...
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University Of Manitoba
The University of Manitoba (U of M, UManitoba, or UM) is a Canadian public research university in the province of Manitoba.''University of Manitoba Act'', C.C.S.M. c. U60.
Retrieved on July 15, 2008
Founded in 1877, it is the first of . Both by total student enrolment and campus area, the U of M is the largest university in the province of Manitoba and the 17th-largest in all of Canada. Its main campus is located in the



Cryptologia
''Cryptologia'' is a journal in cryptography published six times per year since January 1977. Its remit is all aspects of cryptography, with a special emphasis on historical aspects of the subject. The founding editors were Brian J. Winkel, David Kahn, Louis Kruh, Cipher A. Deavours and Greg Mellen. The current Editor-in-Chief is Craig Bauer. The journal was initially published at the Rose-Hulman Institute of Technology. In July 1995, it moved to the United States Military Academy, and was then published by Taylor & Francis since the January 2006 issue (Volume 30, Number 1).Brian J. Winkel, Letter From the Editor, ''Cryptologia'' 29(4), October 2005 See also * Journal of Cryptology * Cryptogram * Cryptology ePrint Archive The Cryptology ePrint Archive is an electronic archive (eprint) of new results in the field of cryptography, maintained by the International Association for Cryptologic Research. It contains articles covering many of the most recent advances in cr ... Ref ...
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Regular Language
In theoretical computer science and formal language theory, a regular language (also called a rational language) is a formal language that can be defined by a regular expression, in the strict sense in theoretical computer science (as opposed to many modern regular expressions engines, which are augmented with features that allow recognition of non-regular languages). Alternatively, a regular language can be defined as a language recognized by a finite automaton. The equivalence of regular expressions and finite automata is known as Kleene's theorem (after American mathematician Stephen Cole Kleene). In the Chomsky hierarchy, regular languages are the languages generated by Type-3 grammars. Formal definition The collection of regular languages over an alphabet Σ is defined recursively as follows: * The empty language Ø is a regular language. * For each ''a'' ∈ Σ (''a'' belongs to Σ), the singleton language is a regular language. * If ''A'' is a regular language, ''A''* ( ...
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Pompeii
Pompeii (, ) was an ancient city located in what is now the ''comune'' of Pompei near Naples in the Campania region of Italy. Pompeii, along with Herculaneum and many villas in the surrounding area (e.g. at Boscoreale, Stabiae), was buried under of volcanic ash and pumice in the Eruption of Mount Vesuvius in 79 AD. Largely preserved under the ash, the excavated city offered a unique snapshot of Roman life, frozen at the moment it was buried, although much of the detailed evidence of the everyday life of its inhabitants was lost in the excavations. It was a wealthy town, with a population of ca. 11,000 in AD 79, enjoying many fine public buildings and luxurious private houses with lavish decorations, furnishings and works of art which were the main attractions for the early excavators. Organic remains, including wooden objects and human bodies, were interred in the ash. Over time, they decayed, leaving voids that archaeologists found could be used as moulds to make plaste ...
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