Document (#33752)

Author
Dominich, S.
Title
Mathematical foundations of information retrieval
Imprint
Dordrecht : Kluwer Academic
Year
2001
Pages
XX, 284 S
Isbn
0-7923-6861-4
Series
Mathematical modelling: theory and applications; 12
Abstract
This book offers a comprehensive and consistent mathematical approach to information retrieval (IR) without which no implementation is possible, and sheds an entirely new light upon the structure of IR models. It contains the descriptions of all IR models in a unified formal style and language, along with examples for each, thus offering a comprehensive overview of them. The book also creates mathematical foundations and a consistent mathematical theory (including all mathematical results achieved so far) of IR as a stand-alone mathematical discipline, which thus can be read and taught independently. Also, the book contains all necessary mathematical knowledge on which IR relies, to help the reader avoid searching different sources. The book will be of interest to computer or information scientists, librarians, mathematicians, undergraduate students and researchers whose work involves information retrieval.
Theme
Retrievalalgorithmen
LCSH
Computer science / Mathematics
Information storage and retrieval
RSWK
Online-Recherche / Mathematische Methode
BK
06.35 Informationsmanagement
54.10 Theoretische Informatik
DDC
004/.01/51 / dc21
GHBS
TVA (W)
TLQ (W)
LCC
QA76.9.M35D66 2001
RVK
ST 270
ST 271

Similar documents (author)

  1. Dominich, S.: Interaction information retrieval (1994) 5.86
    5.8620114 = sum of:
      5.8620114 = weight(author_txt:dominich in 154) [ClassicSimilarity], result of:
        5.8620114 = fieldWeight in 154, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          9.379218 = idf(docFreq=9, maxDocs=43556)
          0.625 = fieldNorm(doc=154)
    
  2. Dominich, S.: ¬The interaction-based information retrieval paradigm (1997) 5.86
    5.8620114 = sum of:
      5.8620114 = weight(author_txt:dominich in 849) [ClassicSimilarity], result of:
        5.8620114 = fieldWeight in 849, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          9.379218 = idf(docFreq=9, maxDocs=43556)
          0.625 = fieldNorm(doc=849)
    
  3. Dominich, S.: ¬A unified mathematical definition of classical information retrieval (2000) 5.86
    5.8620114 = sum of:
      5.8620114 = weight(author_txt:dominich in 5766) [ClassicSimilarity], result of:
        5.8620114 = fieldWeight in 5766, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          9.379218 = idf(docFreq=9, maxDocs=43556)
          0.625 = fieldNorm(doc=5766)
    
  4. Dominich, S.; Skrop, A.: PageRank and interaction information retrieval (2005) 4.69
    4.689609 = sum of:
      4.689609 = weight(author_txt:dominich in 4266) [ClassicSimilarity], result of:
        4.689609 = fieldWeight in 4266, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          9.379218 = idf(docFreq=9, maxDocs=43556)
          0.5 = fieldNorm(doc=4266)
    
  5. Dominich, S.; Kiezer, T.: ¬A measure theoretic approach to information retrieval (2007) 4.69
    4.689609 = sum of:
      4.689609 = weight(author_txt:dominich in 2443) [ClassicSimilarity], result of:
        4.689609 = fieldWeight in 2443, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          9.379218 = idf(docFreq=9, maxDocs=43556)
          0.5 = fieldNorm(doc=2443)
    

Similar documents (content)

  1. Dominich, S.; Kiezer, T.: ¬A measure theoretic approach to information retrieval (2007) 0.28
    0.28414917 = sum of:
      0.28414917 = product of:
        0.8879662 = sum of:
          0.015445621 = weight(abstract_txt:also in 2443) [ClassicSimilarity], result of:
            0.015445621 = score(doc=2443,freq=2.0), product of:
              0.05850483 = queryWeight, product of:
                1.0192547 = boost
                3.4135838 = idf(docFreq=3897, maxDocs=43556)
                0.01681506 = queryNorm
              0.2640059 = fieldWeight in 2443, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                3.4135838 = idf(docFreq=3897, maxDocs=43556)
                0.0546875 = fieldNorm(doc=2443)
          0.01459207 = weight(abstract_txt:which in 2443) [ClassicSimilarity], result of:
            0.01459207 = score(doc=2443,freq=2.0), product of:
              0.064480714 = queryWeight, product of:
                1.3105313 = boost
                2.9260652 = idf(docFreq=6346, maxDocs=43556)
                0.01681506 = queryNorm
              0.22630131 = fieldWeight in 2443, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                2.9260652 = idf(docFreq=6346, maxDocs=43556)
                0.0546875 = fieldNorm(doc=2443)
          0.039585862 = weight(abstract_txt:models in 2443) [ClassicSimilarity], result of:
            0.039585862 = score(doc=2443,freq=2.0), product of:
              0.10956745 = queryWeight, product of:
                1.3948504 = boost
                4.6714907 = idf(docFreq=1107, maxDocs=43556)
                0.01681506 = queryNorm
              0.36129218 = fieldWeight in 2443, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                4.6714907 = idf(docFreq=1107, maxDocs=43556)
                0.0546875 = fieldNorm(doc=2443)
          0.06328365 = weight(abstract_txt:thus in 2443) [ClassicSimilarity], result of:
            0.06328365 = score(doc=2443,freq=3.0), product of:
              0.13086358 = queryWeight, product of:
                1.5243906 = boost
                5.1053333 = idf(docFreq=717, maxDocs=43556)
                0.01681506 = queryNorm
              0.48358494 = fieldWeight in 2443, product of:
                1.7320508 = tf(freq=3.0), with freq of:
                  3.0 = termFreq=3.0
                5.1053333 = idf(docFreq=717, maxDocs=43556)
                0.0546875 = fieldNorm(doc=2443)
          0.019583782 = weight(abstract_txt:information in 2443) [ClassicSimilarity], result of:
            0.019583782 = score(doc=2443,freq=4.0), product of:
              0.07382824 = queryWeight, product of:
                1.8103733 = boost
                2.425247 = idf(docFreq=10472, maxDocs=43556)
                0.01681506 = queryNorm
              0.26526138 = fieldWeight in 2443, product of:
                2.0 = tf(freq=4.0), with freq of:
                  4.0 = termFreq=4.0
                2.425247 = idf(docFreq=10472, maxDocs=43556)
                0.0546875 = fieldNorm(doc=2443)
          0.06394208 = weight(abstract_txt:consistent in 2443) [ClassicSimilarity], result of:
            0.06394208 = score(doc=2443,freq=1.0), product of:
              0.1900448 = queryWeight, product of:
                1.8370241 = boost
                6.152374 = idf(docFreq=251, maxDocs=43556)
                0.01681506 = queryNorm
              0.33645794 = fieldWeight in 2443, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.152374 = idf(docFreq=251, maxDocs=43556)
                0.0546875 = fieldNorm(doc=2443)
          0.06906296 = weight(abstract_txt:retrieval in 2443) [ClassicSimilarity], result of:
            0.06906296 = score(doc=2443,freq=9.0), product of:
              0.1211781 = queryWeight, product of:
                2.0745022 = boost
                3.4738557 = idf(docFreq=3669, maxDocs=43556)
                0.01681506 = queryNorm
              0.5699294 = fieldWeight in 2443, product of:
                3.0 = tf(freq=9.0), with freq of:
                  9.0 = termFreq=9.0
                3.4738557 = idf(docFreq=3669, maxDocs=43556)
                0.0546875 = fieldNorm(doc=2443)
          0.60247016 = weight(abstract_txt:mathematical in 2443) [ClassicSimilarity], result of:
            0.60247016 = score(doc=2443,freq=6.0), product of:
              0.708371 = queryWeight, product of:
                6.635158 = boost
                6.349084 = idf(docFreq=206, maxDocs=43556)
                0.01681506 = queryNorm
              0.8505009 = fieldWeight in 2443, product of:
                2.4494898 = tf(freq=6.0), with freq of:
                  6.0 = termFreq=6.0
                6.349084 = idf(docFreq=206, maxDocs=43556)
                0.0546875 = fieldNorm(doc=2443)
        0.32 = coord(8/25)
    
  2. Manning, C.D.; Schütze, H.: Foundations of statistical natural language processing (2000) 0.27
    0.26557449 = sum of:
      0.26557449 = product of:
        0.94848025 = sum of:
          0.07892412 = weight(abstract_txt:comprehensive in 3601) [ClassicSimilarity], result of:
            0.07892412 = score(doc=3601,freq=1.0), product of:
              0.1526684 = queryWeight, product of:
                1.6464989 = boost
                5.514286 = idf(docFreq=476, maxDocs=43556)
                0.01681506 = queryNorm
              0.5169643 = fieldWeight in 3601, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.514286 = idf(docFreq=476, maxDocs=43556)
                0.09375 = fieldNorm(doc=3601)
          0.09891177 = weight(abstract_txt:contains in 3601) [ClassicSimilarity], result of:
            0.09891177 = score(doc=3601,freq=1.0), product of:
              0.17746307 = queryWeight, product of:
                1.7751737 = boost
                5.9452305 = idf(docFreq=309, maxDocs=43556)
                0.01681506 = queryNorm
              0.55736536 = fieldWeight in 3601, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.9452305 = idf(docFreq=309, maxDocs=43556)
                0.09375 = fieldNorm(doc=3601)
          0.016786098 = weight(abstract_txt:information in 3601) [ClassicSimilarity], result of:
            0.016786098 = score(doc=3601,freq=1.0), product of:
              0.07382824 = queryWeight, product of:
                1.8103733 = boost
                2.425247 = idf(docFreq=10472, maxDocs=43556)
                0.01681506 = queryNorm
              0.2273669 = fieldWeight in 3601, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                2.425247 = idf(docFreq=10472, maxDocs=43556)
                0.09375 = fieldNorm(doc=3601)
          0.14016937 = weight(abstract_txt:foundations in 3601) [ClassicSimilarity], result of:
            0.14016937 = score(doc=3601,freq=1.0), product of:
              0.22389519 = queryWeight, product of:
                1.9939269 = boost
                6.6778564 = idf(docFreq=148, maxDocs=43556)
                0.01681506 = queryNorm
              0.62604904 = fieldWeight in 3601, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.6778564 = idf(docFreq=148, maxDocs=43556)
                0.09375 = fieldNorm(doc=3601)
          0.039464552 = weight(abstract_txt:retrieval in 3601) [ClassicSimilarity], result of:
            0.039464552 = score(doc=3601,freq=1.0), product of:
              0.1211781 = queryWeight, product of:
                2.0745022 = boost
                3.4738557 = idf(docFreq=3669, maxDocs=43556)
                0.01681506 = queryNorm
              0.32567397 = fieldWeight in 3601, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                3.4738557 = idf(docFreq=3669, maxDocs=43556)
                0.09375 = fieldNorm(doc=3601)
          0.15258303 = weight(abstract_txt:book in 3601) [ClassicSimilarity], result of:
            0.15258303 = score(doc=3601,freq=2.0), product of:
              0.23692644 = queryWeight, product of:
                2.9007387 = boost
                4.857429 = idf(docFreq=919, maxDocs=43556)
                0.01681506 = queryNorm
              0.6440102 = fieldWeight in 3601, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                4.857429 = idf(docFreq=919, maxDocs=43556)
                0.09375 = fieldNorm(doc=3601)
          0.4216413 = weight(abstract_txt:mathematical in 3601) [ClassicSimilarity], result of:
            0.4216413 = score(doc=3601,freq=1.0), product of:
              0.708371 = queryWeight, product of:
                6.635158 = boost
                6.349084 = idf(docFreq=206, maxDocs=43556)
                0.01681506 = queryNorm
              0.59522665 = fieldWeight in 3601, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.349084 = idf(docFreq=206, maxDocs=43556)
                0.09375 = fieldNorm(doc=3601)
        0.28 = coord(7/25)
    
  3. Turunen, E.: Mathematics behind fuzzy logic (1999) 0.22
    0.22166653 = sum of:
      0.22166653 = product of:
        1.1083326 = sum of:
          0.083512776 = weight(abstract_txt:thus in 4922) [ClassicSimilarity], result of:
            0.083512776 = score(doc=4922,freq=1.0), product of:
              0.13086358 = queryWeight, product of:
                1.5243906 = boost
                5.1053333 = idf(docFreq=717, maxDocs=43556)
                0.01681506 = queryNorm
              0.63816667 = fieldWeight in 4922, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.1053333 = idf(docFreq=717, maxDocs=43556)
                0.125 = fieldNorm(doc=4922)
          0.13188235 = weight(abstract_txt:contains in 4922) [ClassicSimilarity], result of:
            0.13188235 = score(doc=4922,freq=1.0), product of:
              0.17746307 = queryWeight, product of:
                1.7751737 = boost
                5.9452305 = idf(docFreq=309, maxDocs=43556)
                0.01681506 = queryNorm
              0.7431538 = fieldWeight in 4922, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.9452305 = idf(docFreq=309, maxDocs=43556)
                0.125 = fieldNorm(doc=4922)
          0.1868925 = weight(abstract_txt:foundations in 4922) [ClassicSimilarity], result of:
            0.1868925 = score(doc=4922,freq=1.0), product of:
              0.22389519 = queryWeight, product of:
                1.9939269 = boost
                6.6778564 = idf(docFreq=148, maxDocs=43556)
                0.01681506 = queryNorm
              0.83473206 = fieldWeight in 4922, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.6778564 = idf(docFreq=148, maxDocs=43556)
                0.125 = fieldNorm(doc=4922)
          0.14385667 = weight(abstract_txt:book in 4922) [ClassicSimilarity], result of:
            0.14385667 = score(doc=4922,freq=1.0), product of:
              0.23692644 = queryWeight, product of:
                2.9007387 = boost
                4.857429 = idf(docFreq=919, maxDocs=43556)
                0.01681506 = queryNorm
              0.6071786 = fieldWeight in 4922, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.857429 = idf(docFreq=919, maxDocs=43556)
                0.125 = fieldNorm(doc=4922)
          0.5621883 = weight(abstract_txt:mathematical in 4922) [ClassicSimilarity], result of:
            0.5621883 = score(doc=4922,freq=1.0), product of:
              0.708371 = queryWeight, product of:
                6.635158 = boost
                6.349084 = idf(docFreq=206, maxDocs=43556)
                0.01681506 = queryNorm
              0.7936355 = fieldWeight in 4922, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.349084 = idf(docFreq=206, maxDocs=43556)
                0.125 = fieldNorm(doc=4922)
        0.2 = coord(5/25)
    
  4. Dominich, S.: ¬A unified mathematical definition of classical information retrieval (2000) 0.22
    0.21784008 = sum of:
      0.21784008 = product of:
        1.0892004 = sum of:
          0.03744584 = weight(abstract_txt:also in 5766) [ClassicSimilarity], result of:
            0.03744584 = score(doc=5766,freq=1.0), product of:
              0.05850483 = queryWeight, product of:
                1.0192547 = boost
                3.4135838 = idf(docFreq=3897, maxDocs=43556)
                0.01681506 = queryNorm
              0.64004695 = fieldWeight in 5766, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                3.4135838 = idf(docFreq=3897, maxDocs=43556)
                0.1875 = fieldNorm(doc=5766)
          0.09597062 = weight(abstract_txt:models in 5766) [ClassicSimilarity], result of:
            0.09597062 = score(doc=5766,freq=1.0), product of:
              0.10956745 = queryWeight, product of:
                1.3948504 = boost
                4.6714907 = idf(docFreq=1107, maxDocs=43556)
                0.01681506 = queryNorm
              0.8759045 = fieldWeight in 5766, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.6714907 = idf(docFreq=1107, maxDocs=43556)
                0.1875 = fieldNorm(doc=5766)
          0.033572197 = weight(abstract_txt:information in 5766) [ClassicSimilarity], result of:
            0.033572197 = score(doc=5766,freq=1.0), product of:
              0.07382824 = queryWeight, product of:
                1.8103733 = boost
                2.425247 = idf(docFreq=10472, maxDocs=43556)
                0.01681506 = queryNorm
              0.4547338 = fieldWeight in 5766, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                2.425247 = idf(docFreq=10472, maxDocs=43556)
                0.1875 = fieldNorm(doc=5766)
          0.078929104 = weight(abstract_txt:retrieval in 5766) [ClassicSimilarity], result of:
            0.078929104 = score(doc=5766,freq=1.0), product of:
              0.1211781 = queryWeight, product of:
                2.0745022 = boost
                3.4738557 = idf(docFreq=3669, maxDocs=43556)
                0.01681506 = queryNorm
              0.65134794 = fieldWeight in 5766, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                3.4738557 = idf(docFreq=3669, maxDocs=43556)
                0.1875 = fieldNorm(doc=5766)
          0.8432826 = weight(abstract_txt:mathematical in 5766) [ClassicSimilarity], result of:
            0.8432826 = score(doc=5766,freq=1.0), product of:
              0.708371 = queryWeight, product of:
                6.635158 = boost
                6.349084 = idf(docFreq=206, maxDocs=43556)
                0.01681506 = queryNorm
              1.1904533 = fieldWeight in 5766, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.349084 = idf(docFreq=206, maxDocs=43556)
                0.1875 = fieldNorm(doc=5766)
        0.2 = coord(5/25)
    
  5. Chaitin, G.J.: Conversations with a mathematician : Math, art, science and the limits of reason (2002) 0.21
    0.21119444 = sum of:
      0.21119444 = product of:
        0.87997687 = sum of:
          0.11549676 = weight(abstract_txt:mathematics in 3210) [ClassicSimilarity], result of:
            0.11549676 = score(doc=3210,freq=6.0), product of:
              0.11263057 = queryWeight, product of:
                6.698196 = idf(docFreq=145, maxDocs=43556)
                0.01681506 = queryNorm
              1.0254477 = fieldWeight in 3210, product of:
                2.4494898 = tf(freq=6.0), with freq of:
                  6.0 = termFreq=6.0
                6.698196 = idf(docFreq=145, maxDocs=43556)
                0.0625 = fieldNorm(doc=3210)
          0.0870187 = weight(abstract_txt:mathematicians in 3210) [ClassicSimilarity], result of:
            0.0870187 = score(doc=3210,freq=1.0), product of:
              0.16946054 = queryWeight, product of:
                1.226609 = boost
                8.216067 = idf(docFreq=31, maxDocs=43556)
                0.01681506 = queryNorm
              0.5135042 = fieldWeight in 3210, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.216067 = idf(docFreq=31, maxDocs=43556)
                0.0625 = fieldNorm(doc=3210)
          0.02521744 = weight(abstract_txt:computer in 3210) [ClassicSimilarity], result of:
            0.02521744 = score(doc=3210,freq=1.0), product of:
              0.0934984 = queryWeight, product of:
                1.2885134 = boost
                4.3153577 = idf(docFreq=1581, maxDocs=43556)
                0.01681506 = queryNorm
              0.26970986 = fieldWeight in 3210, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.3153577 = idf(docFreq=1581, maxDocs=43556)
                0.0625 = fieldNorm(doc=3210)
          0.09344625 = weight(abstract_txt:foundations in 3210) [ClassicSimilarity], result of:
            0.09344625 = score(doc=3210,freq=1.0), product of:
              0.22389519 = queryWeight, product of:
                1.9939269 = boost
                6.6778564 = idf(docFreq=148, maxDocs=43556)
                0.01681506 = queryNorm
              0.41736603 = fieldWeight in 3210, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.6778564 = idf(docFreq=148, maxDocs=43556)
                0.0625 = fieldNorm(doc=3210)
          0.07192834 = weight(abstract_txt:book in 3210) [ClassicSimilarity], result of:
            0.07192834 = score(doc=3210,freq=1.0), product of:
              0.23692644 = queryWeight, product of:
                2.9007387 = boost
                4.857429 = idf(docFreq=919, maxDocs=43556)
                0.01681506 = queryNorm
              0.3035893 = fieldWeight in 3210, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.857429 = idf(docFreq=919, maxDocs=43556)
                0.0625 = fieldNorm(doc=3210)
          0.4868694 = weight(abstract_txt:mathematical in 3210) [ClassicSimilarity], result of:
            0.4868694 = score(doc=3210,freq=3.0), product of:
              0.708371 = queryWeight, product of:
                6.635158 = boost
                6.349084 = idf(docFreq=206, maxDocs=43556)
                0.01681506 = queryNorm
              0.6873085 = fieldWeight in 3210, product of:
                1.7320508 = tf(freq=3.0), with freq of:
                  3.0 = termFreq=3.0
                6.349084 = idf(docFreq=206, maxDocs=43556)
                0.0625 = fieldNorm(doc=3210)
        0.24 = coord(6/25)