External links date March 2011 ABCnotation DISPLAYTITLE Abcnotation is a shorthand form of musical ... set. The earlier ABCnotation was built on, standardized and changed to better fit the keyboard ... last Walshaw first Chris publisher abcnotation.com url http abcnotation.com title abc music notation introduction accessdate March 1, 2008 ref ABCNotation being ASCII based, any text editor can be used to edit the music. Even so, there are now many ABCNotation software packages available that offer a wide variety of features, including the ability to read and process abcnotation, including into midi ... March 1, 2008 ref History of ASCII ABCNotation In the 1980s Chris Walshaw began writing out ... url http abcnotation.com software.html title abc music notation software accessdate March ... Chambers http trillian.mit.edu jc music abc doc ABCtut History.html chronology of ABCnotation ... learn.html title abc music notation learning accessdate March 1, 2008 ref At that point Chris stepped ... abcnotation.org.uk url http abcnotation.com contact.html title abc music notation further information ... of the use of abcnotation X 1 T The Legacy Jig M 6 8 L 1 8 R jig K G GFG BAB gfg gab GFG BAB d2A AFD ... into traditional music notation using one of the abc conversion tools. For example, abcm2ps software ... ABCnotation to LilyPond. The extension calls abc2ly then LilyPond. http www.soe.ucsc.edu ... http www.pmwiki.org wiki Cookbook AbcMusic AbcMusic for displaying abcnotation in PmWiki http music.gordfisch.net ... plugin abcabc plugin for displaying abcnotation in DokuWiki . This plugin uses Jef Moine ... p abcjs abcjs plugin for displaying abcnotation on any web page. This allows abc to be stored ... in your pocket. http home.petersson.se android abc Online help See also Guido music notation GNU LilyPond ... s definitive http abcnotation.com abc music notation website http abc.sourceforge.net The ABC music ... notation John Chambers http trillian.mit.edu jc music abcABC FAQ.html Frequently Asked Questions ... more details
Conceptdab Wiktionary The term notation can refer to Written communication Phonographic writing systems .... Biology and Medicine Nucleic acid notation Systems Biology Graphical Notation SBGN &mdash orthogonal ... notation Chemistry Chemical formula s are a way of expressing information about the atoms that constitute ... of the molecular structure, showing how the atoms are arranged Nuclear notation provides .... Dance and movement Benesh Movement Notation permits a graphical representation of human bodily movements ... Eshkol Wachman Movement Notation permits a graphical representation of bodily movements of other ... notation is used to represent various kinds of mathematical ideas. All types of notation in probability ... geometry Notation for differentiation , common representations of the derivative in calculus Big O notation , used for example in analysis to represent less significant elements of an expression, to indicate that they will be neglected Z notation , a formal notation for specifying objects using Zermelo Fraenkel set theory and first order predicate logic Ordinal notation Set builder notation , a formal notation for defining Set mathematics sets in set theory Systems to represent very large numbers Conway chained arrow notation Knuth s up arrow notation Steinhaus Moser notation Numeral system s, notation for writing numbers, including Arabic numeral s Roman numeral s Scientific notation for expressing large and small numbers Sign value notation , using signs or symbols to represent numbers Positional notation also known as place value notation, in which each position is related to the next by a multiplier which is called the base of that numeral system Binary notation , a positional notation in base two Octal notation, a positional notation in base eight, used in some computers Decimal notation , a positional notation in base ten Hexadecimal notation, a positional notation in base sixteen, commonly used in computers Sexagesimal notation, an ancient numeral system in base sixty ... more details
.abc may be a file extension for ActionScript bytecode Clean programming language bytecode abcnotation , a language for notating music using the ASCII character set See also ABC disambiguation disambig ... more details
, a music venue ABCnotation , a musical notation language Organizations and projects Ornithological ...wiktionary ABC ABCs abcABC are the first three letters of the Latin alphabet . They may refer to TOC ... Corporation , national publicly funded broadcaster of Australia ABC Radio, the former name of Cumulus ... ABC Swedish news programme ABC Swedish news programme , a regional news programme Asahi Broadcasting ... company ABC newspaper ABC newspaper , Spanish daily newspaper Cars ABC 1906 automobile , an American car ABC 1920 automobile , an English car ABC 1922 automobile , a planned American car Active Body Control , a type of automobile suspension technology ABC Motors , an English manufacturer of aircraft, aero engines and cars Companies ABC Stores Hawaii , a chain of convenience stores ABC Group , a department store ABC Learning Centres, an Australian child care business Agricultural Bank of China ... ABC Cinemas , a UK cinema chain Anglo Belgian Corporation , diesel engine manufacturer Audit Bureau ... Audit Bureau of Circulations UK Audit Bureau of Circulations North America Computer science ABC block cipher , a block cipher algorithm ABC computer virus , virus ABC programming language , an imperative ... used for optimizing multi variable and multi modal numerical functions ABC stream cipher , a stream cipher algorithm ABC Yet Another BitTorrent Client , a free software, open source BitTorrent client based on BitTornado ABC, a line of computer models designed by Dataindustrier AB of Sweden ABCnotation , a language for notating music using the ASCII character set Abstract base class , a programming ... Economics ABC analysis , an inventory categorization technique Activity based costing , an accounting method Mathematics abc conjecture , a concept in number theory ABC formula Approximate Bayesian ... drug used to treat HIV Aids ABC medicine , a mnemonic for Airway, Breathing, Circulation ABC model ... , a transmembrane protein ABC strategy for Abstinence, be faithful, use a condom , a sex education ... more details
Conway notation may refer to Conway chained arrow notation Conway notation knot theory Conway polyhedron notation Disambig eo Skribmaniero de Conway ... more details
Deleted image removed Image Jam 1.0 screenshot.gif thumb 226px Jam 1.0 screenshot JAM is both the software and file format for representing music as human readable and human writable text. Unlike the Abc notation ABC notation, another text based music format, that is best suitable for one voice tunes, JAM is mainly focused on chords. Here is an example of jam notation LULLABY OF BIRDLAND Dm7 Bm7 5 E7 A7 Dm7 Gm7 C7 F 7 F7 Bb 7 Bbm7 F 7 Em7 5 A7 Dm7 Bm7 5 E7 A7 Dm7 Gm7 C7 F 7 F7 Bb 7 Bbm7 F 7 C7 F 7 Am7 5 D7 Gm7 Gm7 5 C7 F 7 Am7 5 D7 Gm7 Gm7 5 C7 F 7 A7 Dm7 Bm7 5 E7 A7 Dm7 Gm7 C7 F 7 F7 Bb 7 Bbm7 F 7 C7 F 7 References cite web url http www.mustech.net 2007 11 best music freeware jam baib title mustech.net quote This is a great little program that can easily be translated into the classroom. cite web url http ace.acadiau.ca score others.htm title Music Notation Software by Gordon J. Callon External links http pyva.net eng jam Jam free download Category Music notation file formats Category Free music software ... more details
of notation using the initial letters of solfege . See also Abcnotation , 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 ...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 the relationship between pitches e.g., it does not indicate the difference between a whole step and a half step, knowledge of which was so critical to Medieval and Renaissance performers and theorists ... 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 ... more details
Arrow notation may refer to Conway chained arrow notation Knuth s up arrow notation Arrow notation Ramsey theory , or infinitary combinatorics mathdab Long comment to avoid being listed on short pages ... more details
International notation may mean FDI World Dental Federation notation Hermann Mauguin notation Crystallographic notation system Decimal mark Influence of calculators and computers the use of the decimal point as the decimal mark disambig ... more details
Unreferenced date December 2006 Line notation is a typographical notation system using ASCII characters, most often used for IUPAC nomenclature chemical nomenclature . Line notation is a word and symbol description of an electrochemical cell widely used in chemistry. Chemistry International Chemical Identifier InChI ROSDAL Wiswesser Line Notation WLN Simplified molecular input line entry specification SMILES Smiles arbitrary target specification SMARTS SYBYL Line Notation SLN Mathematics Internet shorthand notation TeX Music GUIDO music notation DEFAULTSORT Line Notation Category Notation Category Chemical nomenclature Category Musical notation Writingsystem stub simple Line notation ... more details
Dot notation can refer to Newton s notation for differentiation see also Notation for differentiation . Lewis dot notation also known as Electron dot notation Dot decimal notation Kepatihan notation Dotted note Dot product DOT language Dot notation is also used in Lisp programming language Object oriented programming Earley algorithm disambig ... more details
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 addends. 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 5 20 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
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
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
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 notationNotation for differentiation 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
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 use of dance notation is the preservation of classic dance documentation, analysis and reconstruction ... 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 ... more details
Summation notation may refer to Einstein notation , summation over like subscripted indices Capital sigma notation 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
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
Unreferenced 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 . 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 of the meter and second is expressed as 3.00 10 sup 8 sup m s or 3.00 10 sup 5 sup km s then it is clear that it is between 299,500 and 300,500 km s, but when using 300 10 sup 6 sup m ... 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 Numeration Category Notation engineering stub number stub de Wissenschaftliche Notation fr Notation ing nieur ... more details
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 Numeration ... more details
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
Barker s notation refers to the Entity relationship model ERD notation developed by Richard Barker, Ian Palmer, Harry Ellis et al. whilst working at the British consulting firm CACI around 1981. The notation was adopted by Barker when he joined Oracle Corporation Oracle and is effectively defined in his book Entity Relationship Modelling as part of the CASE Method series of books. This notation was and still is used by the Oracle CASE modelling tools. It is a variation of the crows foot style of data modelling that was favoured by many over the original Chen style of ERD modelling because of its readability and efficient use of drawing space. See also Data modeling Further reading cite book author Richard Barker title CASE Method Entity Relationship Modelling publisher Addison Wesley Professional location Reading, MA year 1990 isbn 0 201 41696 4 oclc doi Category Data modeling diagrams database stub pl Notacja Barkera ... more details
Scientific notation is a way of writing numbers that are too large or too small to be conveniently written in standard Decimal decimal notation . Scientific notation has a number of useful properties and is commonly ... notation all numbers are written in the form of math a times 10 b math a times ten raised to the power ... number however, see Normalized notation normalized notation below , called the significand or mantissa ... notation If the number is negative then a minus sign precedes a as in ordinary decimal notation . class wikitable style float right Standard decimal notation Normalized scientific notation 300 ... 51 val 7.51 e 9 Engineering notation Main Engineering notation Engineering notation differs from normalized scientific notation in that the exponent b is restricted to multiple mathematics multiples ... in concept, engineering notation is rarely called scientific notation. This allows the numbers ... u nm , while its scientific notation counterpart val 1.25 e 8 u m would likely be read out as one ... is converted into normalized scientific notation, it is scaled down to a number between 1 and 10. All ... in scientific notation It is customary in scientific measurements to record all the significant digits ... charge ref which is shorthand for val 1.602176487 0.000000040 e 19 u C . E notation Image ... in E notation Most calculator calculators and many computer program computer programs present very large and very small results in scientific notation. Because subscript and superscript superscripted ... that is less likely with capital E and though it stands for exponent , the notation is usually referred to as scientific E notation or scientific e notation , rather than scientific exponential notation though the latter also occurs . Examples and alternatives In the C , Fortran FORTRAN , MATLAB ... of magnitude Scientific notation also enables simpler order of magnitude comparisons. A proton ... notation also avoids misunderstandings due to regional differences in certain quantifiers, such as Long ... more details
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
image Dowker notation example.png thumb 200px A knot diagram with crossings labelled for a Dowker sequence In the mathematics mathematical field of knot theory , the Dowker notation , also called the Dowker&ndash Thistlethwaite notation or code, for a knot mathematics knot is a sequence of even integer s. The notation is named after Clifford Hugh Dowker and Morwen Thistlethwaite , who refined a notation originally due to Peter Guthrie Tait . To generate the Dowker notation, traverse the knot using an arbitrary starting point and direction. Label each of the n crossings with the numbers 1, ..., 2 n in order of traversal each crossing is visited and labelled twice , with the following modification if the label is an even number and the strand followed crosses over at the crossing, then change the sign on the label to be a negative. When finished, each crossing will be labelled a pair of integers, one even and one odd. The Dowker notation is the sequence of even integer labels associated with the labels 1, 3, ..., 2 n &minus 1 in turn. For example, a knot diagram may have crossings labelled with the pairs 1, 6 3, &minus 12 5, 2 7, 8 9, &minus 4 and 11, &minus 10 . The Dowker notation for this labelling is the sequence 6 &minus 12 2 8 &minus 4 &minus 10. A knot can be recovered from a Dowker sequence, but the recovered knot may differ from the original by being a reflection or more generally by having any connected sum component reflected in the line between its entry exit points &ndash the Dowker notation is unchanged by these reflections. Knots tabulations typically consider only prime knot s and disregard chirality , so this ambiguity does not affect the tabulation. The m nage problem , posed by Tait, concerns counting the number of different number sequences possible in this notation ... Knot theory Category Mathematical notation knottheory stub ja ... more details
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