Unicode Mathematical Operators
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Unicode Mathematical Operators
The Unicode Standard encodes almost all standard characters used in mathematics. Unicode Technical Report #25 provides comprehensive information about the character repertoire, their properties, and guidelines for implementation. Mathematical operators and symbols are in multiple Unicode blocks. Some of these blocks are dedicated to, or primarily contain, mathematical characters while others are a mix of mathematical and non-mathematical characters. This article covers all Unicode characters with a derived property of "Math". Dedicated blocks Mathematical Operators block The Mathematical Operators block (U+2200–U+22FF) contains characters for mathematical, logical, and set notation. Supplemental Mathematical Operators block The Supplemental Mathematical Operators block (U+2A00–U+2AFF) contains various mathematical symbols, including N-ary operators, summations and integrals, intersections and unions, logical and relational operators, and subset/superset relatio ...
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Alphabetic Presentation Forms
Alphabetic Presentation Forms is a Unicode block containing standard ligatures for the Latin, Armenian, and Hebrew scripts. Block History The following Unicode-related documents record the purpose and process of defining specific characters in the Alphabetic Presentation Forms block: See also *Armenian (Unicode block) * Latin alphabet in Unicode * Hebrew alphabet in Unicode *Precomposed character *Arabic Presentation Forms-A *Arabic Presentation Forms-B Arabic Presentation Forms-B is a Unicode block encoding spacing forms of Arabic diacritics, and contextual letter forms. The special codepoint ZWNBSP is also here, which is only meant for a byte order mark The byte order mark (BOM) is a parti ... References {{reflist Unicode blocks Latin script ...
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Order Of Magnitude
An order of magnitude is an approximation of the logarithm of a value relative to some contextually understood reference value, usually 10, interpreted as the base of the logarithm and the representative of values of magnitude one. Logarithmic distributions are common in nature and considering the order of magnitude of values sampled from such a distribution can be more intuitive. When the reference value is 10, the order of magnitude can be understood as the number of digits in the base-10 representation of the value. Similarly, if the reference value is one of some powers of 2, since computers store data in a binary format, the magnitude can be understood in terms of the amount of computer memory needed to store that value. Differences in order of magnitude can be measured on a base-10 logarithmic scale in “decades” (i.e., factors of ten). Examples of numbers of different magnitudes can be found at Orders of magnitude (numbers). Definition Generally, the order of magnitude ...
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International System Of Units
The International System of Units, known by the international abbreviation SI in all languages and sometimes pleonastically as the SI system, is the modern form of the metric system and the world's most widely used system of measurement. Established and maintained by the General Conference on Weights and Measures (CGPM), it is the only system of measurement with an official status in nearly every country in the world, employed in science, technology, industry, and everyday commerce. The SI comprises a coherent system of units of measurement starting with seven base units, which are the second (symbol s, the unit of time), metre (m, length), kilogram (kg, mass), ampere (A, electric current), kelvin (K, thermodynamic temperature), mole (mol, amount of substance), and candela (cd, luminous intensity). The system can accommodate coherent units for an unlimited number of additional quantities. These are called coherent derived units, which can always be represented as p ...
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CJK Compatibility
CJK Compatibility is a Unicode block containing square symbols (both CJK and Latin alphanumeric) encoded for compatibility with East Asian character sets. In Unicode 1.0, it was divided into two blocks, named CJK Squared Words (U+3300–U+337F) and CJK Squared Abbreviations (U+3380–U+33FF). Characters U+337B through U+337E are the Japanese era symbols Heisei (㍻), Shōwa (㍼), Taishō (㍽) and Meiji (㍾) (also available in certain legacy sets, such as the " NEC special characters" extension for JIS X 0208, as included in Microsoft's version and later JIS X 0213). The Reiwa era symbol (㋿) is in Enclosed CJK Letters and Months (the CJK Compatibility block having been fully allocated by the time of its commencement). Block History The following Unicode-related documents record the purpose and process of defining specific characters in the CJK Compatibility block: See also *CJK Unified Ideographs *Katakana (Unicode block) *Letterlike Symbols Letterlike Symbol ...
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Unicode Symbols
In computing, a Unicode symbol is a Unicode character which is not part of a script used to write a natural language, but is nonetheless available for use as part of a text. Many of the symbols are drawn from existing character sets or ISO/IEC or other national and international standards. The Unicode Standard states that "The universe of symbols is rich and open-ended," but that in order to be considered, a symbol must have a "demonstrated need or strong desire to exchange in plain text." This makes the issue of what symbols to encode and how symbols should be encoded more complicated than the issues surrounding writing systems. Unicode focuses on symbols that make sense in a one-dimensional plain-text context. For example, the typical two-dimensional arrangement of electronic diagram symbols justifies their exclusion. (Box-drawing characters are a partial exception, for legacy purposes, and a number of electronic diagram symbols are indeed encoded in Unicode's Miscellaneous Techn ...
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Unicode Subscripts And Superscripts
Unicode has subscripted and superscripted versions of a number of characters including a full set of Arabic numerals. These characters allow any polynomial, chemical and certain other equations to be represented in plain text without using any form of markup like HTML or TeX. The World Wide Web Consortium and the Unicode Consortium have made recommendations on the choice between using markup and using superscript and subscript characters: When used in mathematical context (MathML) it is recommended to consistently use style markup for superscripts and subscripts.... However, when super and sub-scripts are to reflect semantic distinctions, it is easier to work with these meanings encoded in text rather than markup, for example, in phonetic or phonemic transcription. Uses The ''intended'' use when these characters were added to Unicode was to allow chemical and algebra formulas and phonetics to be written without markup, but produce true superscripts and subscripts. Thus "H₂ ...
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Latin Letters Used In Mathematics
Many letters of the Latin alphabet, both capital and small, are used in mathematics, science, and engineering to denote by convention specific or abstracted constants, variables of a certain type, units, multipliers, or physical entities. Certain letters, when combined with special formatting, take on special meaning. Below is an alphabetical list of the letters of the alphabet with some of their uses. The field in which the convention applies is mathematics unless otherwise noted. Aa *A represents: **the first point of a triangle **the digit "10" in hexadecimal and other positional numeral systems with a radix of 11 or greater **the unit ampere for electric current in physics **the area of a figure **the mass number or nucleon number of an element in chemistry **the Helmholtz free energy of a closed thermodynamic system of constant pressure and temperature **a vector potential, in electromagnetics it can refer to the magnetic vector potential **an Abelian group in abstract alge ...
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List Of Letters Used In Mathematics And Science
:''This list is about the meanings of the letters used in mathematics, science and engineering. SI units are indicated in parentheses. For the Unicode blocksee Mathematical Alphanumeric Symbols.'' Latin and Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities. :Some common conventions: * Intensive quantities in physics are usually denoted with minusculeswhile extensive are denoted with capital letters. * Most symbols are written in italics. * Vectors can be denoted in boldface. * Sets of numbers are typically bold or blackboard bold. Latin Greek More See also * Blackboard bold letters used in mathematics * Greek letters used in mathematics, science, and engineering * Latin letters used in mathematics Many letters of the Latin alphabet, both capital and small, are used in mathematics, scie ...
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Greek Letters Used In Mathematics, Science, And Engineering
Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities. In these contexts, the capital letters and the small letters represent distinct and unrelated entities. Those Greek letters which have the same form as Latin letters are rarely used: capital A, B, E, Z, H, I, K, M, N, O, P, T, Y, X. Small ι, ο and υ are also rarely used, since they closely resemble the Latin letters i, o and u. Sometimes font variants of Greek letters are used as distinct symbols in mathematics, in particular for ε/ϵ and π/ϖ. The archaic letter digamma (Ϝ/ϝ/ϛ) is sometimes used. The Bayer designation naming scheme for stars typically uses the first Greek letter, α, for the brightest star in each constellation, and runs through the alphabet before switching to Latin letters. In mathematical finance, the Greeks are the va ...
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List Of Logic Symbols
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics. Additionally, the subsequent columns contains an informal explanation, a short example, the Unicode location, the name for use in HTML documents, and the LaTeX symbol. Basic logic symbols Advanced and rarely used logical symbols These symbols are sorted by their Unicode value: Usage in various countries Poland and Germany in Poland, the universal quantifier is sometimes written ∧, and the existential quantifier as ∨. The same applies for Germany. Japan The ⇒ symbol is often used in text to mean "result" or "conclusion", as in "We examined whether to sell the product ⇒ We will not sell it". Also, the → symbol is often used to denote "changed to", as in the sentence "The interest rate changed. March 20% → April 21%". See also * Józef ...
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Halfwidth And Fullwidth Forms
In CJK (Chinese, Japanese and Korean) computing, graphic characters are traditionally classed into fullwidth (in Taiwan and Hong Kong: 全形; in CJK: 全角) and halfwidth (in Taiwan and Hong Kong: 半形; in CJK: 半角) characters. Unlike monospaced fonts, a halfwidth character occupies half the width of a fullwidth character, hence the name. ''Halfwidth and Fullwidth Forms'' is also the name of a Unicode block U+FF00–FFEF, provided so that older encodings containing both halfwidth and fullwidth characters can have lossless translation to/from Unicode. Rationale In the days of text mode computing, Western characters were normally laid out in a grid on the screen, often 80 columns by 24 or 25 lines. Each character was displayed as a small dot matrix, often about 8 pixels wide, and a SBCS (single-byte character set) was generally used to encode characters of Western languages. For aesthetic reasons and readability, it is preferable for Han characters to be approxim ...
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