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Dissimilarity coefficient

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18 TABLE 2 ...A CANNOT INTO OUR THUSABOUT CO IS OURS TOABOVE COULD IT OURSELVES TOGETHERACROSS DOWN ITS OUT TOOAFTER DURING ITSELF OVER TOWARDAFTERWARDS EACH LAST OWN TOWARDSAGAIN EG LATTER PER UNDERAGAINST EITHER LATTERLY PERHAPS UNTILALL ELSE LEAST RATHER UPALMOST ELSEWHERE LESS SAME UPONALONE ENOUGH LTD SEEM USALONG ETC MANY SEEMED VERYALREADY EVEN MAY SEEMING VIAALSO EVER ME SEEMS WASALTHOUGH EVERY MEANWHILE SEVERAL WEALWAYS EVERYONE MIGHT SHE WELLAMONG EVERYTHING MORE SHOULD WEREAMONGST EVERYWHERE MOREOVER SINCE WHATAN EXCEPT MOST SO WHATEVERAND FEW MOSTLY SOME WHENANOTHER FIRST MUCH SOMEHOW WHENCEANY FOR MUST SOMEONE WHENEVERANYHOW FORMER MY SOMETHING WHEREANYONE FORMERLY MYSELF SOMETIME WHEREAFTERANYTHING FROM NAMELY SOMETIMES WHEREAS
17 Generating document representatives conflation Ultimately one would like to develop a text processing system which by menas of computable methods with the minimum of human intervention will generate from the input text full text,abstract,or title a document representative adequate for use in an automatic retrieval system ...Such a system will usually consist of three parts:1 removal of high frequency words,2 suffix stripping,3 detecting equivalent stems ...The removal of high frequency words,stop words or fluff words is one way of implementing Luhn s upper cut off ...Table 2 ...The second stage,suffix stripping,is more complicated ...Table 2 ...1 the length of remaining stem exceeds a given number;the default is usually 2;2 the stem ending satisfies a certain condition,e ...Many words,which are equivalent in the above sense,map to one morphological form by removing their suffixes ...
40 pertain to documents,such as index tags,being careful of course to deal with the same number of index tags for each document ...I now return to the promised mathematical definition of dissimilarity ...If P is the set of objects to be clustered,a pairwise dissimilarity coefficient D is a function from P x P to the non negative real numbers ...D 1 D X,Y >0 for all X,Y [[propersubset]]P D 2 D X,X 0 for all X [[propersubset]]P D 3 D X,Y D Y,X for all X,Y [[propersubset]]P Informally,a dissimilarity coefficient is a kind of distance function ...D 4 D X,Y <D X,Z D Y,Z which may be recognised as the theorem from Euclidean geometry which states that the sum of the lengths of two sides of a triangle is always greater than the length of the third side ...An example of a dissimilarity coefficient satisfying D 1 D 4 is where X [[Delta]]Y X [[union]]Y X [[intersection]]Y is the symmetric different of sets X and Y ...and is monotone with respect to Jaccard s coefficient subtracted from 1 ...
199 LUHN,H ...LUM,V ...LUM,V ...McCARN,D ...McDONELL,K ...MACNAUGHTON SMITH,P ...MacQUEEN,J ...MANOLA,F ...MARON,M ...MARON,M ...MARON,M ...MARON,M ...MARON,M ...MARSCHAK,J ...MEALEY,G ...Medline Reference Manual,Medlars Management Section,Bibliographic Services Division,National Library of Medicine ...MILLER,W ...MINKER,J ...MINSKY,M ...MONTGOMERY,C ...MORRIS,R ...MURRAY,D ...MURRAY,D ...