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Encyclopedia results for Tetrad (index notation)

Tetrad (index notation)





Encyclopedia results for Tetrad (index notation)

  1. Infix notation

    unreferenced date June 2010 Infobox notation logo File Infix dia.svg 125px Infix notation is the common arithmetic and logical formula notation, in which operator mathematics operator s are written infix style between the operand s they act on e.g. 2 2 . It is not as simple to parsing parse by computers as Polish notation prefix notation e.g. 2 2 or reverse Polish notation postfix notation e.g. 2 2 , but many programming language s use it due to its familiarity. In infix notation, unlike in prefix or postfix notations, Bracket Parentheses parentheses surrounding groups of operands and operators are necessary to indicate the intended order in which operations are to be performed. In the absence of parentheses, certain precedence rules determine the order of operations . Infix notation may also be distinguished from Function mathematics function notation, where the name of a function suggests a particular operation, and its arguments are the operands. An example of such a function notation would be S 1,3 in which the function S denotes addition S 1,3 1 3 4 . Examples of Infix Notation 1 2 sup 3 sup 3 4 5 would be evaluated as 1 2 3 3 4 5 1 8 3 4 5 8 3 4 5 8 3 20 28 3 25 See also Calculator input methods comparison of notations as used by pocket calculators postfix notation, also called Reverse Polish notation prefix notation, also called Polish notation Shunting yard algorithm , used to convert infix notation to postfix notation or to a tree Operator programming External links http www.xnumber.com xnumber rpn or adl.htm RPN or DAL? A brief analysis of Reverse Polish Notation against Direct Algebraic Logic math stub Category Mathematical notation Category Operators programming cs Infixov notace de Infixnotation es Notaci n de infijo hr Infiksna notacija it Notazione infissa ja simple Infix notation sr zh ...   more details



  1. Hungarian notation

    Hungarian notation is an identifier naming convention in computer programming , in which the name of a variable ... or intended use. There are two types of Hungarian notation Systems Hungarian notation and Applications Hungarian notation. Hungarian notation was designed to be language independent, and found its ... word, nothing in the language itself helps a programmer remember variables types. Hungarian notation ... type. In Hungarian notation, a variable name starts with a group of lower case letters which are mnemonic ... of this character denotes scope. History The original Hungarian notation, which would now be called ... whose names started with letters I through N in FORTRAN were integers by default. The notation ... Simonyi K roly in Hungarian . In the same way the type name precedes the given name in Hungarian notation ... . The term Hungarian notation is memorable for many people because the strings of unpronounceable ... sz letter in the Hungarian alphabet . Systems vs. Applications Hungarian Where Systems notation and Apps notation differ is in the purpose of the prefixes. In Systems Hungarian notation, the prefix encodes ... return code. Applications Hungarian notation strives to encode the logical data type rather than ... Charles Simonyi title Hungarian Notation month November year 1999 publisher Microsoft Corp. work MSDN ... a value that should be treated as a letter or more generally a character or a number. While the notation ... Hungarian notation to sometimes contain Systems Hungarian when describing variables that are defined ... notation now called sigil computer programming sigil s is built into the language and enforced by the compiler ... notation that they implicitly define the type of the variable without need for redundant declaration ... are in practice less flexible than Hungarian notation, typically defining only a few different ... code iSize code Integer computer science integer systems or index application code fpPrice code ... point values code aulColors code array of unsigned long systems While Hungarian notation can be applied ...   more details



  1. DeWitt notation

    Physics often deals with classical models where the dynamical variables are a collection of functions sup sup sub sub over a d dimensional space spacetime manifold M where is the flavor particle physics flavor index. This involves functional mathematics functional s over the s, functional derivative s, functional integral s, etc. From a functional point of view this is equivalent to working with an infinite dimensional smooth manifold where its points are an assignment of a function for each , and the procedure is in analogy with differential geometry where the coordinates for a point x of the manifold M are sup sup x . In the DeWitt notation named after theoretical physicist Bryce DeWitt , sup sup x is written as sup i sup where i is now understood as an index covering both and x . So, given a smooth functional A , A sub , i sub stands for the functional derivative math A ,i phi stackrel mathrm def frac delta delta phi alpha x A phi math as a functional of . In other words, a 1 form field over the infinite dimensional functional manifold . In integrals, the Einstein summation convention is used. Alternatively, math A i B i stackrel mathrm def int M d dx sum alpha A alpha x B alpha x math References cite book first Claus last Kiefer authorlink Claus Kiefer year 2007 month April title Quantum gravity format hardcover edition 2nd pages 361 publisher Oxford University Press isbn 0 199 21252 X & ISBN 9780199212521 Category Mathematical notation physics stub ...   more details



  1. Dance notation

    PLEASE NOTE the notation systems should be given their correct capitalization according to their title e.g. Eshkol Wachman Movement Notation is the full name not Eshkol Wachman or Eshkol Wachman movement notation and Action Stroke Dance Notation not Action stroke dance notation . Examine the external ... La Cachucha , by Friedrich Albert Zorn. Dance notation is the symbol ic representation of dance movement. It is analogous to movement notation but can be limited to representing human movement and specific ... system Numerical system s Music notation Graphic notation Letter and word notation s Usage The primary ... notation have been created but the two main systems used in Western culture are Labanotation also known as Kinetography Laban and Benesh Movement Notation . Eshkol Wachman Movement Notation and DanceWriting are also in use, but to a lesser extent. Another purpose of dance notation is the documentation and analysis of dance in dance ethnology . Here the notation is not used to plan a new choreography but to document an existing dance. Dance notation systems developed for the description of European .... Attempts have been made by ethnomusicologists and dance ethnologists to develop specific notation systems for such purposes. History The first computerized notation system, which displayed an animated ... dance notation system, created by Eddie Dombrower on the Apple II personal computer in 1982. See Dance Notation Journal , Fall, 1986, 4 2 pp. 47 48. Several notation systems are used only for specific dance dance form s, for example, Shorthand Dance Notation dances from Israel , Morris Dance Notation Morris dance , and Beauchamp Feuillet notation Baroque dance . Ann Hutchinson Guest s seminal book Choreographics 1989 , compares thirteen historical and present day dance notation systems with visual ... system. The book is good introduction to the development and implementation dance notation systems ... notation. In 1975 Ann Hutchinson Guest reconstructed the choreographer Arthur Saint L on ...   more details



  1. Algebraic notation

    Algebraic notation can mean In mathematics and computers, infix notation , the practice of representing a binary operator and operands with the operator between the two operands as in 2 2 Algebraic notation chess , one of the most popular systems for notating the placement and movement of pieces in a chess game In linguistics, recursive categorical syntax , also known as algebraic syntax , a theory of how natural languages are structured Mathematical notation for algebra disambig ...   more details



  1. Sigma notation

    Sigma notation may refer to, In mathematics, Summation Capital sigma notation summation notation In material science, crystal reciprocal density notation. ref cite journal last Randle first Valerie title The coincidence site lattice and the sigma enigma journal Materials Characterization volume 47 year 2011 pages 411 416 url http ac.els cdn.com S1044580302001936 1 s2.0 S1044580302001936 main.pdf ref References references dab ...   more details



  1. Ekphonetic notation

    Unreferenced date August 2011 Ekphonetic notation consists of symbols added to certain sacred texts, especially lectionary readings of Biblical texts, as a mnemonic device to assist in their cantillation . Ekphonetic notation can take a number of forms, and has been used in several Jewish and Christian plainchant traditions, but is most commonly associated with Byzantine chant . In many cases, the original meaning of ekphonetic neume s is obscure, and must be reconstructed by comparison with later notation. See also Cantillation music stub Category Musical notation ...   more details



  1. Cycle notation

    ldots a n k,k . , math Note that the usual convention in cycle notation is to multiply from left to right ... the cycle notation, and grouped according to their conjugacy class es math , math math 1 2 , 1 3 ... 2808 title cycle notation Category Permutations nl Cykelnotatie uk ...   more details



  1. Spectroscopic notation

    Spectroscopic notation provides various ways to specify atomic ion ionization states , as well as atomic orbital atomic and molecular orbitals . Ionization states Spectroscopists customarily refer to the spectrum arising from a given ionization state of a given chemical element element by the element s symbol followed by a Roman numeral . The numeral I is used for spectral lines associated with the neutral element, II for those from the first ionization state, III for those from the second ionization state, and so on. ref p. 92, Guide to the Sun , Kenneth J. H. Phillips, Cambridge, UK Cambridge University Press, 1992. ISBN 052139788X. ref For example, He I denotes lines of neutral helium , and C IV denotes lines arising from the third ionization state, C sup sup , of carbon . Atomic and molecular orbitals Before atomic orbitals were understood, spectroscopists discovered various distinctive series of spectral lines in atomic spectra, which they identified by letters. These letters were later associated with the azimuthal quantum number , l . The letters, s , p , d , and f , for the first four values of l were chosen to be the first letters of properties of the spectral series observed in alkali metals . Letters for subsequent values of l were assigned in alphabetical order, omitting the letter j ref § 12 7, An Introduction to Quantum Physics , Anthony Philip French and Edwin ... center r 13 align center t 14 align center u 15 align center v 16 align center ... ... This notation ... c3 Spectroscopic notation , web page at http hyperphysics.phy astr.gsu.edu , accessed on line September ... a SP ee D y F Molecular Spectroscopic Notation main Molecular term symbol The spectroscopic notation ..., the index g or u denotes the existence of a Molecular symmetry Elements center of symmetry or inversion ... electron configuration term symbol X ray notation References reflist Category Atomic physics Category Spectroscopy fr Notation spectroscopique pl Notacja spektroskopowa ...   more details



  1. Newton's notation

    Unreferenced date December 2009 merge Notation for differentiation date October 2011 Newton nowiki s nowiki notation for differentiation , or dot notation , uses a dot placed over a function name to denote the time derivative of that function. Newton referred to this as a fluxion . Isaac Newton s notation is mainly used in mechanics . It is defined as math dot x frac dx dt x t math math ddot x frac d 2x dt 2 x t , math and so on. Dot notation is not very useful for higher order derivatives, but in mechanics and other engineering fields, the use of higher than second order derivatives is limited. Newton did not develop a standard mathematical notation for integral integration but used many different notations however, the widely adopted notation is Leibniz s notation for integration . In physics , macroeconomics and other fields, Newton s notation is used mostly for time derivative s, as opposed to slope or position vector position derivative s. See also Leibniz s notation Notation for differentiation External links http cudl.lib.cam.ac.uk collections newton Newton s original papers and notebooks showing the development of his work, Cambridge University Digital Library DEFAULTSORT Newton s Notation Category Mechanics Category Isaac Newton Differentiation, notation Category Differential calculus Category Mathematical notation ar ca Notaci de Newton es Notaci n de Newton id Notasi Newton it Notazione di Newton mr ja nn Fluksjon i matematikk ru uk ...   more details



  1. Ordinal notation

    In mathematical logic and set theory , an ordinal notation is a finite sequence of symbols from a finite alphabet which names an ordinal number according to some scheme which gives meaning to the language. There are many such schemes of ordinal notations, including schemes by Wilhelm Ackermann , Heinz ... uses sup sup · 1 . &xi notation One could continue in this way, but it would give us ... with a smaller . Thus, define notations as follows 0 is a notation for zero. If A and B are replaced by notations for &alpha and &beta in AB , then the result is a notation for , . There are no other ... after Solomon Feferman . Systems of ordinal notation There are many different systems for ordinal notation introduced by various authors. It is often quite hard to convert between the different systems ... notation for ordinals less than epsilon zero . There are many equivalent ways to write these instead ... to give a system of ordinal notation for ordinals less than the Feferman Schutte ordinal . The Veblen ... Ackermann 1951 described a system of ordinal notation rather weaker than the system described earlier ... to each ordinal. Later systems of notation introduced by Feferman and others avoided this complication ... notation called ordinal diagrams , which is hard to understand but was later simplified by Feferman ... 1986 described the following system of ordinal notation as a simplification of Feferman s theta functions ... 1938 described a system of notation for all recursive ordinals those less than the Church Kleene ordinal ... notation for an ordinal, there is a recursively enumerable set of notations which contains one element ... doi 10.1016 0168 0072 86 90052 7 mr 0865989 Constructive Ordinal Notation Systems by Fredrick Gass citation title On Notation for Ordinal Numbers first S. C. last Kleene journal The Journal of Symbolic ... Logic, Vol. 3, No. 4 jstor 2267778 Hyperarithmetical Index Sets In Recursion Theory by Stephen ... Proof theory Category Mathematical notation ...   more details



  1. Summation notation

    Summation notation may refer to Einstein notation , summation over like subscripted indices Capital sigma notation , mathematical symbol for summation mathdab Short pages monitor This long comment was added to the page to prevent it being listed on Special Shortpages. It and the accompanying monitoring template were generated via Template Longcomment. Please do not remove the monitor template without removing the comment as well. ...   more details



  1. Stokoe notation

    Infobox Writing system type alphabet name Stokoe notation languages ASL time 1960 to present children ASL phabet sample Stokoe passage.gif imagesize 250px Stokoe notation IPA en sto ki is the first Kyle ... up a sign without first knowing how to translate it into English. The Stokoe notation was later ... in ASL. The Stokoe notation is mostly restricted to linguists and academics. The notation is arranged ... SignWriting or the Hamburg Notation System , it utilizes the Latin alphabet and is phoneme phonemic ... system. Writing direction Stokoe notation is written horizontally left to right like the Latin ... between signs in their natural context, which restricts the usefulness of the notation to the lexical ... & index touch or cross G pointing hand as ASL g d or 1 H index middle fingers together as ASL h, n or u I pinkie as ASL i K thumb touches middle finger of V as ASL k or p L angle hand, thumb index as ASL l 3 vehicle classifier hand, thumb index middle fingers as ASL 3 O tapered hand, fingers curved over thumb as ASL o or m R crossed fingers as ASL r V spread index middle fingers as ASL v W thumb touches pinkie as ASL w X hook as ASL x Y horns as ASL y , or as index pinkie 8 bent middle finger ... notation File Stokoe SNAKE.gif left The ASL word SNAKE in Stokoe notation clear The first letter ..., transcribed in Stokoe notation clear class IPA wikitable B sub sub B sub sub sup z sup V V sup ... notation The first use of Stokoe notation appeared in the ASL Dictionary compiled by William Stokoe ... of a Sexual Nature citation have included Stokoe notation. The notation has also been used to analyze Australian Aboriginal sign languages. These non ASL projects have had to extend the notation to cover ... system ASL phabet , a simplified derivative of Stokoe notation used in ASL English dictionaries ... ASCII Stokoe.txt ASCII Stokoe Notation Method for writing Stokoe in ASCII by Mark A. Mandel DEFAULTSORT Stokoe Notation Category American Sign Language Category Sign language notation ...   more details



  1. Nuclear notation

    Unreferenced date December 2009 Nuclear notation is a common notation used in chemistry and physics to indicate the atomic number and mass number of an isotope . Nuclear notation is formed by writing an List of elements by symbol elemental symbol preceded by a subscript indicating its atomic number number of proton s and a superscript indicating its mass number number of nucleon s . For example, carbon 12 has an atomic number of 6 and a mass number of 12 and would thus be written as Nuclide Carbon 12 . If the isotope is in a metastable isomer metastable state , an m can be added to the mass number. For example technetium 99m can be written as Nuclide Technetium 99m . It is also common to drop the atomic number, as it is redundant with the symbol SimpleNuclide Carbon 12 , SimpleNuclide Technetium 99m . DEFAULTSORT Nuclear Notation Category Isotopes isotope stub ...   more details



  1. Secondary notation

    Context date June 2010 In design , a secondary notation is defined as Sensory cue visual cues which are not part of formal notation . Properties like coordinate system position , indentation , color , symmetry , when used to convey information, are secondary notation. A typical example of secondary notation is syntax highlighting of programming Code computer programming code the colors are not part of the code semantics, but help the programmer to visualize its meaning. See also Cognitive dimensions References T. R. G. Green and M. Petre. Usability analysis of visual programming environments A cognitive dimensions framework. Journal of Visual Languages and Computing, 7 131 174, 1996. cite book last1 Schrepfer first1 Matthias last2 Wolf first2 Johannes last3 Mendling first3 Jan last4 Reijers first4 Hajo A. title The Impact of Secondary Notation on Process Model Understanding chapter Part 5 volume 39 work THE PRACTICE OF ENTERPRISE MODELING Lecture Notes in Business Information Processing publisher SpringerLink year 2009 pages 161 175 url http www.springerlink.com content u8g7p13087185773 accessdate 2011 07 12 id 10.1007 978 3 642 05352 8 13 DEFAULTSORT Secondary Notation Category Human computer interaction Category Notation Category User interface techniques es Notaci n secundaria comm stub ...   more details



  1. Letter notation

    Refimprove date March 2008 Image C major scale letter notation.png thumb C major scale letter notation. Note that the print letters, above the staff, are not normally included. audio C major scale.mid Play In music , letter notation is a system of representing a set of pitches, for example, the notes of a musical scale scale , by letters. For the complete Western diatonic scale , for example, these would be the letters A G, possibly with a trailing symbol to indicate a half step raise a sharp music , or a half step lowering flat, music b . This is the most common way of specifying a note in speech or in written text in English or German. In some European countries H is used instead of B, and B is used instead of B music b . Western letter pitch notation has the virtue of identifying discrete pitches, but among its disadvantages are its occasional inability to represent pitches or inflections lying outside those theoretically derived, or leaving aside chordal and tablature notations representing ... letter notation in the Western musical tradition appear in the textbook on music De institutione musica ... 0521623715 ref Sargam notation of India is a form of letter notation. Guitar chords main guitar chord seealso Chord notation Letter notation is the most common way of indicating chords for accompaniment ... the C on top and the A on the bottom or vice versa. A few even use the , writing C A or A C, but this notation ... pitch notation . Scientific pitch notation is often used to specify the range of an instrument ... of notation using the initial letters of solfege . See also Antiphonary of St. Benigne The alphabetic notation invented by William of Volpiano Antiphonary of St. Benigne , letter notation by William of Volpiano Abc notation , a letter notation based file format for computer storage of music Helmholtz pitch notation Musical notation Solfege Swara Musical notation References references Category Musical notation uk ...   more details



  1. Daseian notation

    image DasiaNotation.jpg thumb 400px right Tu patris sempiternus est filius , written in Daseian notation. The Daseian signs are at the far left of the staff. Daseian notation or Dasian notation is the type of musical notation used in the ninth century Anonymous work anonymous musical treatises Musica enchiriadis and Scolica enchiriadis . The music of the Musica enchiriadis and Scolica enchiriadis , written in Daseian notation, are the earliest known examples of written polyphonic music in history. ref name grout Burkholder, Grout, and Palisca. A History of Western Music . Norton, 2006, p. 88. ref Usage Musicologist Willi Apel has called the notation a mediaeval imitation of the ancient Greek notation . ref name apel Apel, Willi. The Notation of Polyphonic Music, 900 1600 . Revised 4th edition. Cambridge, MA Mediaeval Academy of America, 1953, pp. 204 206. ref The treatises themselves refer to it as dasia the word derives from the Greek language Greek daseia , which refers to rough breathing at the start of a word in spoken Greek literature prosody . ref name grove Hiley, David. Dasian Daseian Notation . The New Grove Dictionary of Music and Musicians , ed Stanley Sadie. London Macmillan, 2001. ref Daseian notation makes use of a staff music staff of varying numbers of lines, from four to as many as eighteen, as well as a system of four shapes which are rotated in various ways to represent the full scale music gamut of eighteen pitches used in the treatises. These eighteen pitches ... name apel In addition to the Enchiriadis treatises, this notation is also used in the Commemoratio brevis ... of the Enchiriadis treatises, this notation was not widely used in practical sources. Music manuscript ... interpret this notation, in an 1889 publication. ref name apel image DasiaNotation2.jpg thumb 300px Daseian notation and its modern equivalents. References references Category Medieval music Category Musical notation es Notaci n dasiana it Notazione daseiana sv Dasia notatio ...   more details



  1. Schoenflies notation

    The Schoenflies or Sch nflies notation , named after the Germans German mathematician Arthur Moritz Schoenflies , is one of two conventions commonly used to describe point group s. This notation is used in spectroscopy . The other convention is the Hermann Mauguin notation , also known as the International notation. A point group in the Schoenflies convention is completely adequate to describe the symmetry of a molecule this is sufficient for spectroscopy. The Hermann Maunguin notation is able to describe the space group of a crystal lattice, while the Schoenflies notation isn t. Thus the Hermann Mauguin notation is used in crystallography . Symmetry elements Symmetry elements are denoted by i for centers of inversion, C for proper rotation axes, for mirror planes, and S for improper rotation axes rotation reflection axes . C and S are usually followed by a subscript number abstractly denoted n denoting the order of rotation possible. By convention, the axis of proper rotation of greatest order is defined as the principal axis. All other symmetry elements are described in relation to it. A vertical mirror plane containing the principal axis is denoted sub v sub a horizontal mirror plane perpendicular to the principal axis is denoted sub h sub . Point groups In three dimensions, there are infinite number of point groups, but all of them can be classified by several families. C sub n sub for cyclic group cyclic has an n fold rotation axis. C sub nh sub is C sub n sub with the addition ... axis . The index should be even because when n is odd an n fold rotation reflection axis is equivalent ... and Hermann Mauguin notation . For example http it.iucr.org Ab ch4o3v0001 International Tables contains ... List of spherical symmetry groups Hermann Mauguin notation External links http symmetry.otterbein.edu ..., M., Symmetry and Spectroscopy . New York, Dover Publications, 1989. DEFAULTSORT Schonflies Notation Category Symmetry Category Spectroscopy Category Crystallography de Schoenflies Symbolik fr Notation ...   more details



  1. Subtractive notation

    Unreferenced date June 2008 Subtractive notation is an early form of positional notation used with Roman numerals as a shorthand to replace four or five characters in a numeral representing a number with usually just two characters. Using subtractive notation the numeral VIIII becomes simply IX. LXXXXVIII would become IIC, which is invalid in Roman numerals though. Without subtractive notation, XIV represents the same number as XVI 16 in Arabic numerals . With the introduction of subtractive notation, XIV 14 no longer represents the same number as XVI but rather is an alternate way of writing XIIII. By encoding information about the number into the order of the numerals, subtractive notation transformed the Roman numeral system from a variation of a unary numeral system which used alphabetic characters to represent groupings of tally marks a position independent counting system . This form of notation closely follows Latin language usage, in which the number 18 is pronounced as duodeviginti , meaning two deducted from twenty duo de viginti , and 19 is pronounced undeviginti , meaning one deducted from twenty un de viginti . The very positive advantage of subtractive notation is the reduction of counters needed on an Roman abacus abacus , the calculating devices used by the Romans, and those before them for thousands of years. They did not do arithmetic with their written numerals. They used their numerals only for recording the results of calculations on an abacus. Reduction of counters is also why they used intermediate 5 values, i.e. V, L, and D. The number of counters needed to represent IIIIIIIII, VIIII, and IX are 9, 5, and 2. Subtractive notation reflected the counter positions on an abacus with positive and negative counters on opposite sides of a median line. Category Ancient Rome Category Numeral systems ...   more details



  1. Coxeter notation

    In geometry , Coxeter notation is a system of classifying symmetry group s, describing the angles between with fundamental reflections of a Coxeter group . It uses a bracketed notation, with modifiers to indicate certain subgroups. The notation is named after H. S. M. Coxeter , and has been more comprehensively ... notation and Coxeter Dynkin diagram graphs. The numbers in the bracket notation represent the mirror reflection orders in the branches of the Coxeter graph. The Coxeter notation is simplified with exponents ... top class wikitable Finite Coxeter groups Rank Group BR symbol Coxeter notation Bracket notation ... Affine Coxeter groups Group BR symbol Coxeter notation Bracket notation Coxeter Dynkin diagram Coxeter ... Coxeter notation Bracket notation Coxeter Dynkin diagram Coxeter graph align center p,q BR with 2 ... notation includes an explicit 2 to connect the subgraphs. So the Coxeter graph, CDD node ... notation Coxeter Coxeter Dynkin diagram Coxeter diagram Order Description align center C sub 1 sub ..., the point reflection symmetry, Z sub 2 sub , order 2. Coxeter notation allows a 1 place holder ... to imply the group exists in 2 dimensions rather than 1 dimension. Coxeter notation uses double bracking ... line. class wikitable Group Hermann Mauguin notation Intl Orbifold Coxeter notation Coxeter Order Description ... , 3,5 , and 5,3 respectively. The Coxeter groups for these are called in Coxeter s bracket notation ... of 24, 48, and 120. The order of the number in the Coxeter notation don t make a difference ... branch , and are given Coxeter notation as 4,4 , 6,3 , and 3,3,3 . The parentheses of the last group imply the graph ic cyclic, and also has a short hand notation 3 sup 3 sup . nowiki 4,4 nowiki as a doubling ... 2 Finite valign top class wikitable Hermann Mauguin notation Intl sup sup Geo BR ref The Crystallographic .... 48, 023514 2007 22 pages PDF http geocalc.clas.asu.edu pdf CrystalGA.pdf ref Orbifold notation Orbifold Sch nflies notation Sch nflies John Horton Conway Conway Coxeter notation Coxeter Order align center ...   more details



  1. Engineering notation

    Refimprove date March 2011 Engineering notation is a version of scientific notation in which the powers of ten must be multiples of three i.e., they are powers of a thousand, but written as, for example, 10 sup 6 sup instead of 1,000 sup 2 sup . ref Citation inventor last Dickinson inventor first Peter D. issue date Oct. 19, 1976 title Calculator Apparatus for Displaying Data in Engineering Notation country code US patent number 3987290 ref As an alternative to writing powers of 10, SI prefix es can be used, which also usually provide steps of a factor of a thousand. ref Except in the case of square and cubic units in this case the SI prefixes provide only steps of a factor of one million or one billion. ref Compared to normalized scientific notation, one disadvantage of using SI prefixes and engineering notation is that significant figures are not always readily apparent. For example, 500  m and 500 10 sup 6 sup m cannot express the uncertainty distinctions between 5 10 sup 4 sup , 5.0 10 sup 4 sup , and 5.00 10 sup 4 sup m. This can be solved by changing the range of the coefficient in front of the power from the common 1 1,000 to 0.001 1.0. In some cases this may be suitable in others it may be impractical. In the previous example, 0.5, 0.50, or 0.500  mm would have been used to show uncertainty and significant figures. It is also common to state the precision explicitly, such as 47 k&Omega 5 Another example when the speed of light exactly 299,792,458  m s by the definition ... notation, as used in civil and mechanical engineering United States , uses the following notation ... Notation Notes references External links http search.cpan.org search?query Number 3A 3AFormatEng Perl CPAN module for converting number to engineering notation DEFAULTSORT Engineering Notation Category Engineering Notation, Engineering Category Numeral systems Category Notation engineering stub number stub fr Notation ing nieur nl Ingenieursnotatie ...   more details



  1. Polish notation

    Infobox notation logo File Prefix dia.svg 125px Polish notation , also known as Polish prefix notation or simply prefix notation , is a form of notation for logic , arithmetic , and algebra . Its distinguishing ... that can still be parsed without ambiguity. The Poland Polish logician Jan ukasiewicz invented this notation ... notation is sometimes taken as the opposite of infix notation to also include Polish postfix notation, or Reverse Polish notation , in which the operator is placed after the operands. ref cite book ... ref When Polish notation is used as a syntax for mathematical expressions by interpreter computing ... of prefix notation and others use postfix notation . Here is a quotation from a paper by Jan ukasiewicz ... the idea of a parenthesis free notation in 1924. I used that notation for the first time in my article ... S upecki. ref Alonzo Church mentions this notation in his classic book on Mathematical logic ... publisher Princeton University Press year 1944 p. 38 Worthy of remark is the parenthesis free notation ... notation was to write the functors before the arguments to avoid brackets and that he had employed his notation in his logical papers since 1929. ref Cf. ukasiewicz, 1951 Aristotle s Syllogistic from ... Cl. III, pp. 31 32 ref While no longer used much in logic, Polish notation has since found a place in computer science . Arithmetic The expression for adding the numbers 1 and 2 is, in prefix notation ..., the expression that would be written in conventional infix notation as 5 6 7 can be written ... notation, the innermost expressions are evaluated first, but in prefix notation this innermost ness can be conveyed by order rather than bracketing. In the classical notation, the parentheses ... rule . Computer programming Prefix notation has seen wide application in Lisp programming language Lisp ... arity. The https code.google.com p ambi Ambi programming language uses Polish Notation for arithmetic operations and program construction. The postfix reverse Polish notation is used in many Stack oriented ...   more details



  1. SPL notation

    Orphan date February 2009 SPL Sentence Plan Language is an abstract notation representing the semantics of a sentence in natural language . A generator can be used to transform input in SPL notation in to a sentence in a natural language. There is no distinct definition of SPL available on the Internet, although some Scientific paper paper s are available on the subject. See also Natural language generation External links PDFlink http acl.ldc.upenn.edu H H89 H89 1022.pdf A Flexible Interface for Linking Applications to Penman s Sentence Generator 418 KB Category Natural language processing ling stub ...   more details



  1. Caret notation

    unreferenced date January 2008 Caret notation is a notation for unprintable control character s in ASCII ASCII encoding . The notation consists of a caret followed by a capital letter this digraph stands for the ASCII code that has the numerical value equivalent to the letter s numerical value. For example the end of transmission character EOT character with a value of 4 is represented as tt D tt because D is the 4th letter in the alphabet. The null character NUL character with a value of 0 is represented as tt tt At sign is the ASCII character before A . The Delete character DEL character with the value 127 is usually represented as tt ? tt , because the ASCII ? is before and 1 is the same as 127 if masked to 7 bits. For a complete list of caret notation, see C0 and C1 control codes . Many computer systems allow you to enter a control character by holding down Control key Ctrl and pressing the letter used in the caret notation. This is practical, because many control characters e.g. EOT cannot be entered directly from a keyboard. Although there are many ways to represent control characters, this correspondence between notation and typing makes the caret notation suitable for many applications. Caret notation is used in many programs, particularly Unix terminal drivers and text file viewers such as more command more and Less Unix less . Alternate notations Acorn Computers Acorn operating systems for the Acorn Atom Atom , BBC Micro , Acorn Archimedes Archimedes and later RISC OS machines use the vertical bar character tt tt in place of the caret. e.g. tt M tt pronounced control M is the carriage return character, ASCII 13. tt tt is the vertical bar character code 124, tt ? tt is character 127 as above and tt tt adds 128 to the code of the following character, so tt ? tt is character code 128 127 255. Category Control characters Category Character sets CharacterEncoding stub ...   more details



  1. Chess notation

    Chess notation is the term for several systems that have developed to record either the moves made during a game of chess or the position of the pieces on a chess board. The earliest systems of notation used lengthy narratives to describe each move these gradually evolved into terser systems of notation. Currently algebraic chess notation is the accepted standard, and is widely used. Algebraic notation has a few variations. Descriptive chess notation was used in English and Spanish language literature ... correspondence chess . Portable Game Notation PGN is used when working with computer chess programs ... Correspondence chess card showing algebraic notation and ICCF notation In recognized competitions all ... Chess Notation url http www.chesshouse.com howto How to Read and Write Chess Notation.asp publisher ... are also used in books about chess. Algebraic chess notation is more compact than descriptive chess notation , and is the most widely used method for recording the moves of a game of chess. It has ... descriptive system. Algebraic notation is the official notation of FIDE which must be used in all ... the use of algebraic notation but still permits descriptive notation. ref name FIDERulesAppendices ... The United States Chess Federation ref Standard Algebraic Notation SAN is the notation standardized ... Notation FAN is a widely used variation of Standard Algebraic Notation which replaces the letter that stands ... xg4 instead of Rxg4 . Pawns are omitted as in standard algebraic notation. This enables the moves ... in Web browsers ref For more information see Chess symbols in Unicode . Long Algebraic Notation ... reviews PlayStrongerChessExaminingChess960.htm Minimal Algebraic Notation MAN is similar to SAN but omits ... Reversible Algebraic Notation RAN is based on LAN, but adds an additional ... reviews PlayStrongerChessExaminingChess960.htm Concise Reversible Algebraic Notation CRAN is like ... B6. This notation is recommended in Play Stronger Chess by Examining Chess 960 Usable Strategies for Fischer ...   more details




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