Symbol in the context of "List of mathematical symbols"

⭐ In the context of mathematical symbols, the increasing complexity of mathematical concepts has led to the adoption of various alphabets and typefaces. Which of the following is a primary reason for utilizing different typefaces, such as boldface or fraktur, in mathematical notation?

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⭐ Core Definition: Symbol

A symbol is a mark, sign, or word that indicates, signifies, or is understood as representing an idea, object, relationship, or mathematical formula. Symbols allow people to go beyond what is known or seen by creating linkages between otherwise different concepts and experiences. All communication is achieved through the use of symbols: for example, a red octagon is a common symbol for "STOP"; on maps, blue lines often represent rivers; and a red rose often symbolizes love and compassion. Numerals are symbols for numbers; letters of an alphabet may be symbols for certain phonemes; and personal names are symbols representing individuals. The academic study of symbols is called semiotics.

In the arts, symbolism is the use of a concrete element to represent a more abstract idea. In cartography, an organized collection of symbols forms a legend for a map.

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Symbol in the context of Cradle of civilization

A cradle of civilization is a location and a culture where civilization was developed independently of other civilizations in other locations. A civilization is any complex society characterized by the development of the state, social stratification, urbanization, and symbolic systems of communication beyond signed or spoken languages (namely, writing systems and graphic arts).

Scholars generally acknowledge six cradles of civilization: Mesopotamia, Ancient Egypt, Ancient India and Ancient China are believed to be the earliest in Afro-Eurasia, while the Caral–Supe civilization of coastal Peru and the Olmec civilization of Mexico are believed to be the earliest in the Americas. All of the cradles of civilization depended upon agriculture for sustenance (except possibly Caral–Supe which may have depended initially on marine resources). All depended upon farmers producing an agricultural surplus to support the centralized government, political leaders, religious leaders, and public works of the urban centers of the early civilizations.

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Symbol in the context of Civilization

A civilization (also spelled civilisation in British English) is any complex society characterized by the development of the state, social stratification, urbanization, and symbolic systems of communication beyond signed or spoken languages (namely, writing systems).

Civilizations are organized around densely populated settlements, divided into more or less rigid hierarchical social classes of division of labour, often with a ruling elite and subordinate urban and rural populations, which engage in intensive agriculture, mining, small-scale manufacture and trade. Civilization concentrates power, extending human control over the rest of nature, including over other human beings. Civilizations are characterized by elaborate agriculture, architecture, infrastructure, technological advancement, currency, taxation, regulation, and specialization of labour.

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Symbol in the context of Dance

Dance is an art form, consisting of sequences of body movements with aesthetic and often symbolic value, either improvised or purposefully selected. Dance can be categorized and described by its choreography, by its repertoire of movements or by its historical period or place of origin. Dance is typically performed with musical accompaniment, and sometimes with the dancer simultaneously using a musical instrument themselves.

Two common types of group dance are theatrical and participatory dance. Both types of dance may have special functions, whether social, ceremonial, competitive, erotic, martial, sacred or liturgical. Dance is not solely restricted to performance, as dance is used as a form of exercise and occasionally training for other sports and activities. Dance performances and dancing competitions are found across the world exhibiting various different styles and standards.

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Symbol in the context of Writing system

A writing system comprises a set of symbols, called a script, as well as the rules by which the script represents a particular language. The earliest writing appeared during the late 4th millennium BC. Throughout history, each independently invented writing system gradually emerged from a system of proto-writing, where a small number of ideographs were used in a manner incapable of fully encoding language, and thus lacking the ability to express a broad range of ideas.

Writing systems are generally classified according to how their symbols, called graphemes, relate to units of language. Phonetic writing systems – which include alphabets and syllabaries – use graphemes that correspond to sounds in the corresponding spoken language. Alphabets use graphemes called letters that generally correspond to spoken phonemes. They are typically divided into three sub-types: Pure alphabets use letters to represent both consonant and vowel sounds, abjads generally only use letters representing consonant sounds, and abugidas use letters representing consonant–vowel pairs. Syllabaries use graphemes called syllabograms that represent entire syllables or moras. By contrast, logographic (or morphographic) writing systems use graphemes that represent the units of meaning in a language, such as its words or morphemes. Alphabets typically use fewer than 100 distinct symbols, while syllabaries and logographies may use hundreds or thousands, respectively.

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Symbol in the context of Sacrament

A sacrament is a Christian rite which is recognized as being particularly important and significant. There are various views on the existence, number and meaning of such rites. Many Christians consider the sacraments to be a visible symbol of the reality of God, as well as a channel for God's grace. Many denominations, including the Catholic, Lutheran, Moravian, Reformed (Continental Reformed, Presbyterian, and Congregationalist traditions), Anglican, Methodist and Baptist, hold to the definition of sacrament formulated by Augustine of Hippo: an outward sign of an inward grace, that has been instituted by Jesus Christ. Sacraments signify God's grace in a way that is outwardly observable to the participant.

The Catholic Church, Hussite Church and the Old Catholic Church recognize seven sacraments: Baptism, Penance (Reconciliation or Confession), Eucharist (or Holy Communion), Confirmation, Marriage (Matrimony), Holy Orders, and Anointing of the Sick (Extreme Unction). The Eastern Churches, such as the Eastern Orthodox Church and Oriental Orthodox Church as well as the Eastern Catholic Churches, recognize these as the seven major sacraments, but also apply the words sacred mysteries corresponding to Greek word, μυστήριον (mysterion), and also to rites that in the Western tradition are called sacramentals and to other realities, such as the Church itself. Many Protestant denominations, such as those within the Reformed tradition, preach just two sacraments instituted by Christ: the Eucharist (or Holy Communion) and Baptism. The Lutheran sacraments include these two, often adding Confession (and Absolution) as a third sacrament. Anglican and Methodist teaching is that "there are two Sacraments ordained of Christ our Lord in the Gospel, that is to say, Baptism and the Supper of the Lord", and that "those five commonly called Sacraments, that is to say, Confirmation, Penance, Orders, Matrimony, and Extreme Unction, are not to be counted for Sacraments of the Gospel."

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Symbol in the context of Proto-writing

Proto-writing consists of visible marks communicating limited information. Such systems emerged from earlier traditions of symbol systems in the early Neolithic, as early as the 7th millennium BC in China and southeastern Europe. They used ideographic or early mnemonic symbols or both to represent a limited number of concepts, in contrast to true writing systems, which record the language of the writer.

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Symbol in the context of Ideographic

An ideogram or ideograph (from Greek idéa 'idea' + gráphō 'to write') is a symbol that is used within a given writing system to represent an idea or concept in a given language. (Ideograms are contrasted with phonograms, which indicate sounds of speech and thus are independent of any particular language.) Some ideograms are more arbitrary than others: some are only meaningful assuming preexisting familiarity with some convention; others more directly resemble their signifieds. Ideograms that represent physical objects by visually illustrating them are called pictograms.

  • Numerals and mathematical symbols are ideograms, for example ⟨1⟩ 'one', ⟨2⟩ 'two', ⟨+⟩ 'plus', and ⟨=⟩ 'equals'.
  • The ampersand ⟨&⟩ is used in many languages to represent the word and, originally a stylized ligature of the Latin word et.
  • Other typographical examples include ⟨§⟩ 'section', ⟨€⟩ 'euro', ⟨£⟩ 'pound sterling', and ⟨©⟩ 'copyright'.
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Symbol in the context of Creation myth

A creation myth or cosmogonic myth is a type of cosmogony, a symbolic narrative of how the world began and how people first came to inhabit it. While in popular usage the term myth often refers to false or fanciful stories, members of cultures often ascribe varying degrees of truth to their creation myths. In the society in which it is told, a creation myth is usually regarded as conveying profound truths – metaphorically, symbolically, historically, or literally. They are commonly, although not always, considered cosmogonical myths – that is, they describe the ordering of the cosmos from a state of chaos or amorphousness.

Creation myths often share several features. They often are considered sacred accounts and can be found in nearly all known religious traditions. They are all stories with a plot and characters who are either deities, human-like figures, or animals, who often speak and transform easily. They are often set in a dim and nonspecific past that historian of religion Mircea Eliade termed in illo tempore ('at that time'). Creation myths address questions deeply meaningful to the society that shares them, revealing their central worldview and the framework for the self-identity of the culture and individual in a universal context.

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Symbol in the context of Mytheme

In structuralism-influenced studies of mythology, a mytheme is a fundamental generic unit of narrative structure (typically involving a relationship between a character, an event, and a theme) from which myths are thought to be constructed—a minimal unit that is always found shared with other, related mythemes and reassembled in various ways ("bundled") or linked in more complicated relationships. For example, the myths of Greek Adonis and Egyptian Osiris share several elements, leading some scholars to conclude that they share a source, i.e. images passed down in cultures or from one to another, being ascribed new interpretations of the action depicted, as well as new names in various readings of icons.

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