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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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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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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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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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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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Samekh
Samekh or samech is the fifteenth Letter (alphabet), letter of the Semitic abjads, including Phoenician alphabet, Phoenician ''sāmek'' 𐤎, Hebrew alphabet, Hebrew ''sāmeḵ'' , Aramaic alphabet, Aramaic ''samek'' 𐡎, and Syriac alphabet, Syriac ''semkaṯ'' ܣ. Arabic script, Arabic sīn س represents samekh, but there is no surviving descendant of samekh in the arabic alphabet. However, it was present in the Nabataean alphabet, the Arabic alphabet's immediate predecessor, as the letter ''simkath'' , which was related to the Ancient North Arabian 𐪏‎‎‎ and Ancient South Arabian script, South Arabian . The gematria, numerical value of samekh is 60. Samekh represents a voiceless alveolar fricative . In the Hebrew language, the samekh has the same pronunciation as the left-dotted Shin (letter)#Hebrew shin/sin, shin . Origin The Phoenician letter may continue a glyph from the Middle Bronze Age alphabets, possibly based on a Egyptian hieroglyphs, hieroglyph for a tent ...
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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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Latin Alphabet
The Latin alphabet, also known as the Roman alphabet, is the collection of letters originally used by the Ancient Rome, ancient Romans to write the Latin language. Largely unaltered except several letters splitting—i.e. from , and from —additions such as , and extensions such as letters with diacritics, it forms the Latin script that is used to write most languages of modern Languages of Europe, Europe, languages of Africa, Africa, languages of the Americas, the Americas, and Languages of Oceania, Oceania. Its basic modern inventory is standardized as the ISO basic Latin alphabet. Etymology The term ''Latin alphabet'' may refer to either the alphabet used to write Latin (as described in this article) or other alphabets based on the Latin script, which is the basic set of letters common to the various alphabets descended from the classical Latin alphabet, such as the English alphabet. These Latin-script alphabets may discard letters, like the Rotokas alphabet, or add new ...
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Russian Alphabet
The Russian alphabet (, or , more traditionally) is the script used to write the Russian language. The modern Russian alphabet consists of 33 letters: twenty consonants (, , , , , , , , , , , , , , , , , , , ), ten vowels (, , , , , , , , , ), a semivowel / consonant (), and two modifier letters or "signs" (, ) that alter pronunciation of a preceding consonant or a following vowel. History Russian alphabet is derived from the Cyrillic script, which was invented in the 9th century to capture accurately the phonology of the first Slavic literary language, Old Church Slavonic. The early Cyrillic alphabet was adapted to Old East Slavic from Old Church Slavonic and was used in Kievan Rus' from the 10th century onward to write what would become the modern Russian language. The last major reform of Russian orthography took place in 1917–1918. Letters : An alternative form of the letter De () closely resembles the Greek letter delta (). : An alternative form of the l ...
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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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