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Greek Alphabet
The Greek alphabet has been used to write the Greek language since the late 9th or early 8th century BC. It was derived from the earlier Phoenician alphabet, and is the earliest known alphabetic script to systematically write vowels as well as consonants. In Archaic Greece, Archaic and early Classical Greece, Classical times, the Greek alphabet existed in Archaic Greek alphabets, many local variants, but, by the end of the 4th century BC, the Ionia, Ionic-based Euclidean alphabet, with 24 letters, ordered from alpha to omega, had become standard throughout the Greek-speaking world and is the version that is still used for Greek writing today. The letter case, uppercase and lowercase forms of the 24 letters are: : , , , , , , , , , , , , , , , , , , , , , , , The Greek alphabet is the ancestor of several scripts, such as the Latin script, Latin, Gothic alphabet, Gothic, Coptic script, Coptic, and Cyrillic scripts. Throughout antiquity, Greek had only a single uppercas ...
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Greek Numerals
Greek numerals, also known as Ionic, Ionian, Milesian, or Alexandrian numerals, is a numeral system, system of writing numbers using the letters of the Greek alphabet. In modern Greece, they are still used for ordinal number (linguistics), ordinal numbers and in contexts similar to those in which Roman numerals are still used in the Western world. For ordinary cardinal number (linguistics), cardinal numbers, however, modern Greece uses Arabic numerals. History The Minoans, Minoan and Mycenaean civilizations' Linear A and Linear B alphabets used a different system, called Aegean numerals, which included number-only symbols for powers of ten:  = 1,  = 10,  = 100,  = 1000, and  = 10000. Attic numerals composed another system that came into use perhaps in the 7th century BC. They were acrophonic, derived (after the initial one) from the first letters of the names of the numbers represented. They ran  = 1,  = ...
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Modern Greek
Modern Greek (, or , ), generally referred to by speakers simply as Greek (, ), refers collectively to the dialects of the Greek language spoken in the modern era, including the official standardized form of the language sometimes referred to as Varieties of Modern Greek#Standard Modern Greek, Standard Modern Greek. The end of the Medieval Greek period and the beginning of Modern Greek is often symbolically assigned to the fall of the Byzantine Empire in 1453, even though that date marks no clear linguistic boundary and many characteristic features of the modern language arose centuries earlier, having begun around the fourth century AD. During most of the Modern Greek period, the language existed in a situation of diglossia, with regional spoken dialects existing side by side with learned, more archaic written forms, as with the vernacular and learned varieties (''Dimotiki'' and ''Katharevousa'') that co-existed in Greece throughout much of the 19th and 20th centuries. Variet ...
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Ancient Greek
Ancient Greek (, ; ) includes the forms of the Greek language used in ancient Greece and the classical antiquity, ancient world from around 1500 BC to 300 BC. It is often roughly divided into the following periods: Mycenaean Greek (), Greek Dark Ages, Dark Ages (), the Archaic Greece, Archaic or Homeric Greek, Homeric period (), and the Classical Greece, Classical period (). Ancient Greek was the language of Homer and of fifth-century Athens, fifth-century Athenian historians, playwrights, and Ancient Greek philosophy, philosophers. It has contributed many words to English vocabulary and has been a standard subject of study in educational institutions of the Western world since the Renaissance. This article primarily contains information about the Homeric Greek, Epic and Classical periods of the language, which are the best-attested periods and considered most typical of Ancient Greek. From the Hellenistic period (), Ancient Greek was followed by Koine Greek, which is regar ...
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Ksi (Cyrillic)
Ksi (Ѯ, ѯ italics: ) is a letter of the Cyrillic script. It is a letter of the early Cyrillic alphabet, derived from the Greek letter Xi (Ξ, ξ). It was mainly used in Greek loanwords, especially words relating to the Church. Unlike other eliminated letters such as Omega and Yus, Ksi was a later borrowing from Greek and does not appear in any form in the Glagolitic script, which was used until the Middle Ages. Ksi was eliminated from the Russian alphabet along with psi, omega, and yus in the Civil Script of 1708 (Peter the Great's ''Grazhdanka''), and has also been dropped from other secular languages. It was briefly restored in 1710 and ultimately deleted in 1735. While it was no longer used in typographic fonts, it continued to be used by the church, and since clergy actively participated in civil censuses, Ksi can be found in multiple handwritten civil texts all the way until the early 1800s. Therefore, in Russian but also in others Slavic languages, is transcribed К� ...
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Euboea
Euboea ( ; , ), also known by its modern spelling Evia ( ; , ), is the second-largest Greek island in area and population, after Crete, and the sixth largest island in the Mediterranean Sea. It is separated from Boeotia in mainland Greece by the narrow Euripus Strait (only at its narrowest point). In general outline it is a long and narrow island; it is about long, and varies in breadth from to . Its geographic orientation is from northwest to southeast, and it is traversed throughout its length by a mountain range, which forms part of the chain that bounds Thessaly on the east, and is continued south of Euboia in the lofty islands of Andros, Tinos and Mykonos. It forms most of the regional unit of Euboea, which also includes Skyros and a small area of the Greek mainland. Name Like most of the Greek islands, Euboea was known by other names in antiquity, such as ''Macris'' (Μάκρις) and ''Doliche'' (Δολίχη) from its elongated shape, or ''Ellopia'' (after El ...
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Early Cyrillic Alphabet
The Early Cyrillic alphabet, also called classical Cyrillic or paleo-Cyrillic, is an alphabetic writing system that was developed in Medieval Bulgaria in the Preslav Literary School during the late 9th century. It is used to write the Church Slavonic language, and was historically used for its ancestor, Old Church Slavonic. It was also used for other languages, but between the 18th and 20th centuries was mostly replaced by the modern Cyrillic script, which is used for some Slavic languages (such as Russian language, Russian), and for East European and Asian languages that have experienced a great amount of Russian cultural influence. History The earliest form of manuscript Cyrillic, known as ''Ustav (script), ustav'', was based on Uncial script, Greek uncial script, augmented by typographic ligature, ligatures and by letters from the Glagolitic alphabet for phonemes not found in Greek. The Glagolitic script was created by the Byzantine monk Saints Cyril and Methodius, Sa ...
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Phoenician Alphabet
The Phoenician alphabet is an abjad (consonantal alphabet) used across the Mediterranean civilization of Phoenicia for most of the 1st millennium BC. It was one of the first alphabets, attested in Canaanite and Aramaic inscriptions found across the Mediterranean basin. In the history of writing systems, the Phoenician script also marked the first to have a fixed writing direction—while previous systems were multi-directional, Phoenician was written horizontally, from right to left. It developed directly from the Proto-Sinaitic script used during the Late Bronze Age, which was derived in turn from Egyptian hieroglyphs. The Phoenician alphabet was used to write Canaanite languages spoken during the Early Iron Age, sub-categorized by historians as Phoenician, Hebrew, Moabite, Ammonite and Edomite, as well as Old Aramaic. It was widely disseminated outside of the Canaanite sphere by Phoenician merchants across the Mediterranean, where it was adopted and adap ...
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Archaic Greek Alphabets
Many local variants of the Greek alphabet were employed in ancient Greece during the Archaic Greece, archaic and Classical Greece, early classical periods, until around 400 BC, when they were replaced by the classical 24-letter alphabet that is the standard today. All forms of the Greek alphabet were originally based on the shared inventory of the 22 symbols of the Phoenician alphabet, with the exception of the letter Samekh, whose Greek counterpart Xi (letter), Xi () was used only in a subgroup of Greek alphabets, and with the common addition of Upsilon () for the vowel . The local, so-called ''epichoric'', alphabets differed in many ways: in the use of the consonant symbols , and ; in the use of the innovative long vowel letters ( and ), in the absence or presence of Η in its original consonant function (); in the use or non-use of certain archaic letters ( = , = , = ); and in many details of the individual shapes of each letter. The system now familiar as the standa ...
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Harmonic Analysis
Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency. The frequency representation is found by using the Fourier transform for functions on unbounded domains such as the full real line or by Fourier series for functions on bounded domains, especially periodic functions on finite intervals. Generalizing these transforms to other domains is generally called Fourier analysis, although the term is sometimes used interchangeably with harmonic analysis. Harmonic analysis has become a vast subject with applications in areas as diverse as number theory, representation theory, signal processing, quantum mechanics, tidal analysis, spectral analysis, and neuroscience. The term "harmonics" originated from the Ancient Greek word ''harmonikos'', meaning "skilled in music". In physical eigenvalue problems, it began to mean waves whose frequencies are integer multiples of one another, as are the freq ...
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