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Mathematical Notation
Mathematical notation consists of using glossary of mathematical symbols, symbols for representing operation (mathematics), operations, unspecified numbers, relation (mathematics), relations, and any other mathematical objects and assembling them into expression (mathematics), expressions and formulas. Mathematical notation is widely used in mathematics, science, and engineering for representing complex concepts and property (philosophy), properties in a concise, unambiguous, and accurate way. For example, the physicist Albert Einstein's formula E=mc^2 is the quantitative representation in mathematical notation of mass–energy equivalence. Mathematical notation was first introduced by François Viète at the end of the 16th century and largely expanded during the 17th and 18th centuries by René Descartes, Isaac Newton, Gottfried Wilhelm Leibniz, and overall Leonhard Euler. Symbols and typeface The use of many symbols is the basis of mathematical notation. They play a s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Highlighted LaTeX Example
Highlight or Highlights may refer to: Generic use * Specular highlight, a spot of light that appears on shiny objects when illuminated by a direct light source * Hair highlighting, lightening and/or coloring part of someone's hair Music * Highlight (band), a South Korean boy group * Highlights (band), a Swedish dansband Albums * ''Highlight'' (album), the third Korean studio album by Beast * ''Highlights'' (Tom Hingley and the Lovers album), 2008 * ''Highlights'' (Tanlines album), 2015 *'' The Highlights'', a 2021 greatest hits album by the Weeknd Songs *"Highlight" the theme song for '' Super Drags'', by Pabllo Vittar *title track "Highlight", South Korean boy group Beast Highlight (album) *Highlight, a song by South Korean-Japanese girl group Iz One from their 2019 EP '' Heart*Iz'' * "Highlights", a 1998 song by Backyard Babies from '' Total 13'' * "Highlights" (song), a 2016 song by Kanye West In technology * Highlighter, a marker pen that adds translucent color to pape ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Isaac Newton
Sir Isaac Newton () was an English polymath active as a mathematician, physicist, astronomer, alchemist, theologian, and author. Newton was a key figure in the Scientific Revolution and the Age of Enlightenment, Enlightenment that followed. His book (''Mathematical Principles of Natural Philosophy''), first published in 1687, achieved the Unification of theories in physics#Unification of gravity and astronomy, first great unification in physics and established classical mechanics. Newton also made seminal contributions to optics, and Leibniz–Newton calculus controversy, shares credit with German mathematician Gottfried Wilhelm Leibniz for formulating calculus, infinitesimal calculus, though he developed calculus years before Leibniz. Newton contributed to and refined the scientific method, and his work is considered the most influential in bringing forth modern science. In the , Newton formulated the Newton's laws of motion, laws of motion and Newton's law of universal g ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Superscript
A subscript or superscript is a character (such as a number or letter) that is set slightly below or above the normal line of type, respectively. It is usually smaller than the rest of the text. Subscripts appear at or below the baseline, while superscripts are above. Subscripts and superscripts are perhaps most often used in formulas, mathematical expressions, and specifications of chemical compounds and isotopes, but have many other uses as well. In professional typography, subscript and superscript characters are not simply ordinary characters reduced in size; to keep them visually consistent with the rest of the font, typeface designers make them slightly heavier (i.e. medium or bold typography) than a reduced-size character would be. The vertical distance that sub- or superscripted text is moved from the original baseline varies by typeface and by use. In typesetting, such types are traditionally called " superior" and "inferior" letters, figures, etc., or just "superi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Diacritic
A diacritic (also diacritical mark, diacritical point, diacritical sign, or accent) is a glyph added to a letter or to a basic glyph. The term derives from the Ancient Greek (, "distinguishing"), from (, "to distinguish"). The word ''diacritic'' is a noun, though it is sometimes used in an attributive sense, whereas ''diacritical'' is only an adjective. Some diacritics, such as the acute , grave , and circumflex (all shown above an 'o'), are often called ''accents''. Diacritics may appear above or below a letter or in some other position such as within the letter or between two letters. The main use of diacritics in Latin script is to change the sound-values of the letters to which they are added. Historically, English has used the diaeresis diacritic to indicate the correct pronunciation of ambiguous words, such as "coöperate", without which the letter sequence could be misinterpreted to be pronounced . Other examples are the acute and grave accents, which can indica ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Sine Function
In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse. For an angle \theta, the sine and cosine functions are denoted as \sin(\theta) and \cos(\theta). The definitions of sine and cosine have been extended to any real value in terms of the lengths of certain line segments in a unit circle. More modern definitions express the sine and cosine as infinite series, or as the solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers. The sine and cosine functions are commonly used to model periodic phenomena such as sound and light waves, the position ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Hiragana
is a Japanese language, Japanese syllabary, part of the Japanese writing system, along with ''katakana'' as well as ''kanji''. It is a phonetic lettering system. The word ''hiragana'' means "common" or "plain" kana (originally also "easy", as contrasted with kanji). Hiragana and katakana are both kana systems. With few exceptions, each mora (linguistics), mora in the Japanese language is represented by one character (or one digraph) in each system. This may be a vowel such as /a/ (hiragana wikt:あ, あ); a consonant followed by a vowel such as /ka/ (wikt:か, か); or /N/ (wikt:ん, ん), a nasal stop, nasal sonorant which, depending on the context and dialect, sounds either like English ''m'', ''n'' or ''ng'' () when syllable-final or like the nasal vowels of French language, French, Portuguese language, Portuguese or Polish language, Polish. Because the characters of the kana do not represent single consonants (except in the case of the aforementioned ん), the kana are r ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Cyrillic Script
The Cyrillic script ( ) is a writing system used for various languages across Eurasia. It is the designated national script in various Slavic languages, Slavic, Turkic languages, Turkic, Mongolic languages, Mongolic, Uralic languages, Uralic, Caucasian languages, Caucasian and Iranian languages, Iranic-speaking countries in Southeastern Europe, Eastern Europe, the Caucasus, Central Asia, North Asia, and East Asia, and used by many other minority languages. , around 250 million people in Eurasia use Cyrillic as the official script for their national languages, with Russia accounting for about half of them. With the accession of Bulgaria to the European Union on 1 January 2007, Cyrillic became the third official script of the Languages of the European Union#Writing systems, European Union, following the Latin script, Latin and Greek alphabet, Greek alphabets. The Early Cyrillic alphabet was developed during the 9th century AD at the Preslav Literary School in the First Bulga ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Hebrew Alphabet
The Hebrew alphabet (, ), known variously by scholars as the Ktav Ashuri, Jewish script, square script and block script, is a unicase, unicameral abjad script used in the writing of the Hebrew language and other Jewish languages, most notably Yiddish, Judaeo-Spanish, Ladino, Judeo-Arabic languages, Judeo-Arabic, and Judeo-Persian. In modern Hebrew, vowels are increasingly introduced. It is also used informally in Israel to write Levantine Arabic, especially among Druze in Israel, Druze. It is an offshoot of the Aramaic alphabet, Imperial Aramaic alphabet, which flourished during the Achaemenid Empire and which itself derives from the Phoenician alphabet. Historically, a different abjad script was used to write Hebrew: the original, old Hebrew script, now known as the Paleo-Hebrew alphabet, has been largely preserved in a variant form as the Samaritan script, Samaritan alphabet, and is still used by the Samaritans. The present ''Jewish script'' or ''square script'', on the cont ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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List Of Mathematical Jargon
The language of mathematics has a wide vocabulary of specialist and technical terms. It also has a certain amount of jargon: commonly used phrases which are part of the culture of mathematics, rather than of the subject. Jargon often appears in lectures, and sometimes in print, as informal shorthand for rigorous arguments or precise ideas. Much of this uses common English words, but with a specific non-obvious meaning when used in a mathematical sense. Some phrases, like "in general", appear below in more than one section. Philosophy of mathematics ; abstract nonsense:A tongue-in-cheek reference to category theory, using which one can employ arguments that establish a (possibly concrete) result without reference to any specifics of the present problem. For that reason, it is also known as ''general abstract nonsense'' or ''generalized abstract nonsense''. ; canonical:A reference to a standard or choice-free presentation of some mathematical object (e.g., canonical map, ca ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |