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Code Page 899
IBM code page 899 (CCSID 899) is a computing code page used under DOS to type mathematical symbols. It is also used by some printers. It contains the same characters as code page 259, but in a different arrangement. Codepage layout Characters are shown with their equivalent Unicode codes. } , , , , , , , , , , , - , , , , , , , , , , , , , , , , , , - , , , , , , , , , , , , , , , , , , - , , , , , , , , , , , , , , , , , , - , , , , , , , , , , , , , , , , , , - , , , , , , , , , , , , , , , , , , - , , , , , , , , , , , , , , , , , Code page 1092 Code page 1092 (CCSID A CCSID (coded character set identifier) is a 16-bit number that represents a particular encoding of a specific code page. For example, Unicode is a code page that has several encoding (so called "transformation") forms, like UTF-8, UTF-16 and U ... 1092) is very similar to code page 899. The on ...
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CCSID
A CCSID (coded character set identifier) is a 16-bit number that represents a particular encoding of a specific code page. For example, Unicode is a code page that has several encoding (so called "transformation") forms, like UTF-8, UTF-16 and UTF-32, but which may or may not actually be accompanied by a CCSID number to indicate that this encoding is being used. Difference between a code page and a CCSID The terms code page and CCSID are often used interchangeably, even though they are not synonymous. A code page may be only part of what makes up a CCSID. The following definitions from IBM help to illustrate this point: * A glyph is the actual physical pattern of pixels or ink that shows up on a display or printout. * A character is a concept that covers all glyphs associated with a certain symbol. For instance, "F", "F", "''F''", "", "", and "" are all different glyphs, but use the same character. The various modifiers (bold, italic, underline, color, and font) do not change the ...
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Backslash
The backslash is a typographical mark used mainly in computing and mathematics. It is the mirror image of the common slash . It is a relatively recent mark, first documented in the 1930s. History , efforts to identify either the origin of this character or its purpose before the 1960s have not been successful. The earliest known reference found to date is a 1937 maintenance manual from the Teletype Corporation with a photograph showing the keyboard of its Kleinschmidt keyboard perforator WPE-3 using the Wheatstone system. The symbol was called the "diagonal key", and given a (non-standard) Morse code of . (This is the code for the slash symbol, entered backwards.) In June 1960, IBM published an "Extended character set standard" that includes the symbol at 0x19. Referencing Computer Standards Collection, Archives Center, National Museum of American History, Smithsonian Institution, box 1. In September 1961, Bob Bemer (IBM) proposed to the X3.2 standards committee that ...
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Approximation
An approximation is anything that is intentionally similar but not exactly equality (mathematics), equal to something else. Etymology and usage The word ''approximation'' is derived from Latin ''approximatus'', from ''proximus'' meaning ''very near'' and the prefix ''ad-'' (''ad-'' before ''p'' becomes ap- by assimilation (phonology), assimilation) meaning ''to''. Words like ''approximate'', ''approximately'' and ''approximation'' are used especially in technical or scientific contexts. In everyday English, words such as ''roughly'' or ''around'' are used with a similar meaning. It is often found abbreviated as ''approx.'' The term can be applied to various properties (e.g., value, quantity, image, description) that are nearly, but not exactly correct; similar, but not exactly the same (e.g., the approximate time was 10 o'clock). Although approximation is most often applied to numbers, it is also frequently applied to such things as Function (mathematics), mathematical functio ...
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Direct Sum
The direct sum is an operation between structures in abstract algebra, a branch of mathematics. It is defined differently, but analogously, for different kinds of structures. To see how the direct sum is used in abstract algebra, consider a more elementary kind of structure, the abelian group. The direct sum of two abelian groups A and B is another abelian group A\oplus B consisting of the ordered pairs (a,b) where a \in A and b \in B. To add ordered pairs, we define the sum (a, b) + (c, d) to be (a + c, b + d); in other words addition is defined coordinate-wise. For example, the direct sum \Reals \oplus \Reals , where \Reals is real coordinate space, is the Cartesian plane, \R ^2 . A similar process can be used to form the direct sum of two vector spaces or two modules. We can also form direct sums with any finite number of summands, for example A \oplus B \oplus C, provided A, B, and C are the same kinds of algebraic structures (e.g., all abelian groups, or all vector spa ...
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Vertical Line
The vertical bar, , is a glyph with various uses in mathematics, computing, and typography. It has many names, often related to particular meanings: Sheffer stroke (in logic), pipe, bar, or (literally the word "or"), vbar, and others. Usage Mathematics The vertical bar is used as a mathematical symbol in numerous ways: * absolute value: , x, , read "the ''absolute value'' of ''x''" * cardinality: , S, , read "the ''cardinality'' of the set ''S''" * conditional probability: P(X, Y), reads "the probability of ''X'' ''given'' ''Y''" * determinant: , A, , read "the ''determinant'' of the matrix ''A''". When the matrix entries are written out, the determinant is denoted by surrounding the matrix entries by vertical bars instead of the usual brackets or parentheses of the matrix, as in \begin a & b \\ c & d\end. * distance: P, ab, denoting the shortest ''distance'' between point P to line ab, so line P, ab is perpendicular to line ab * divisibility: a \mid b, read "''a'' ''divides'' ...
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Fraction (mathematics)
A fraction (from la, fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A ''common'', ''vulgar'', or ''simple'' fraction (examples: \tfrac and \tfrac) consists of a numerator, displayed above a line (or before a slash like ), and a non-zero denominator, displayed below (or after) that line. Numerators and denominators are also used in fractions that are not ''common'', including compound fractions, complex fractions, and mixed numerals. In positive common fractions, the numerator and denominator are natural numbers. The numerator represents a number of equal parts, and the denominator indicates how many of those parts make up a unit or a whole. The denominator cannot be zero, because zero parts can never make up a whole. For example, in the fraction , the numerator 3 indicates that the ...
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Tilde
The tilde () or , is a grapheme with several uses. The name of the character came into English from Spanish, which in turn came from the Latin '' titulus'', meaning "title" or "superscription". Its primary use is as a diacritic (accent) in combination with a base letter; but for historical reasons, it is also used in standalone form within a variety of contexts. History Use by medieval scribes The tilde was originally written over an omitted letter or several letters as a scribal abbreviation, or "mark of suspension" and "mark of contraction", shown as a straight line when used with capitals. Thus, the commonly used words ''Anno Domini'' were frequently abbreviated to ''Ao Dñi'', with an elevated terminal with a suspension mark placed over the "n". Such a mark could denote the omission of one letter or several letters. This saved on the expense of the scribe's labor and the cost of vellum and ink. Medieval European charters written in Latin are largely made up of such ab ...
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Underscore
An underscore, ; also called an underline, low line, or low dash; is a line drawn under a segment of text. In proofreading, underscoring is a convention that says "set this text in italic type", traditionally used on Manuscript (publishing), manuscript or Manuscript#Modern variations, typescript as an List of proofreader's marks, instruction to the printer. Its use to add emphasis in modern documents is a deprecated practice. The underscore character, , originally appeared on the typewriter and was primarily used to emphasise words as in #Manuscripts, the proofreader's convention. To produce an underscored word, the word was typed, the typewriter carriage was moved back to the beginning of the word, and the word was overstrike, overtyped with the underscore character. In modern usage, underscoring is achieved by Markup language, markup or with combining characters. The original free-standing underscore character continues in use to create visual spacing within a sequence of char ...
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Bracket
A bracket is either of two tall fore- or back-facing punctuation marks commonly used to isolate a segment of text or data from its surroundings. Typically deployed in symmetric pairs, an individual bracket may be identified as a 'left' or 'right' bracket or, alternatively, an "opening bracket" or "closing bracket", respectively, depending on the directionality of the context. Specific forms of the mark include parentheses (also called "rounded brackets"), square brackets, curly brackets (also called 'braces'), and angle brackets (also called 'chevrons'), as well as various less common pairs of symbols. As well as signifying the overall class of punctuation, the word "bracket" is commonly used to refer to a specific form of bracket, which varies from region to region. In most English-speaking countries, an unqualified word "bracket" refers to the parenthesis (round bracket); in the United States, the square bracket. Various forms of brackets are used in mathematics, with s ...
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Code Page
In computing, a code page is a character encoding and as such it is a specific association of a set of printable characters and control characters with unique numbers. Typically each number represents the binary value in a single byte. (In some contexts these terms are used more precisely; see .) The term "code page" originated from IBM's EBCDIC-based mainframe systems, but Microsoft, SAP, and Oracle Corporation are among the vendors that use this term. The majority of vendors identify their own character sets by a name. In the case when there is a plethora of character sets (like in IBM), identifying character sets through a number is a convenient way to distinguish them. Originally, the code page numbers referred to the ''page'' numbers in the IBM standard character set manual, a condition which has not held for a long time. Vendors that use a code page system allocate their own code page number to a character encoding, even if it is better known by another name; for example, U ...
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Triple Bar
The triple bar, or tribar ≡, is a symbol with multiple, context-dependent meanings. It has the appearance of an equals sign  sign with a third line. The triple bar character in Unicode is code point .. The closely related code point is the same symbol with a slash through it, indicating the negation of its mathematical meaning. In LaTeX mathematical formulas, the code \equiv produces the triple bar symbol and \not\equiv produces the negated triple bar symbol as output. Uses Mathematics and philosophy In logic, it is used with two different but related meanings. It can refer to the if and only if connective, also called material equivalence. This is a binary operation whose value is true when its two arguments have the same value as each other. Alternatively, in some texts ⇔ is used with this meaning, while ≡ is used for the higher-level metalogical notion of logical equivalence, according to which two formulas are logically equivalent when all models give the ...
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