Document (#23126)

Author

Egghe, L.

Title

Mathematical theories of citation

Source

Scientometrics. 43(1998) no.1, S.57-62

Year

1998

Abstract

Focuses on possible mathematical theories of citation and on the intrinsic problems related to it. Sheds light on aspects of mathematical complexity as encountered in, for example, fractal theory and Mandelbrot's law. Also discusses dynamical aspects of citation theory as reflected in evolutions of journal rankings, centres of gravity or of the set of source journals. Makes some comments in this connection on growth and obsolescence

Footnote

Contribution to a thematic issue devoted to 'Theories of citation?'

Theme

Informetrie

Similar documents (author)

1. Egghe, L.: Little science, big science and beyond (1994) 4.74

   4.741258 = sum of:
     4.741258 = weight(author_txt:egghe in 6883) [ClassicSimilarity], result of:
       4.741258 = fieldWeight in 6883, product of:
         1.0 = tf(freq=1.0), with freq of:
           1.0 = termFreq=1.0
         7.5860133 = idf(docFreq=60, maxDocs=44218)
         0.625 = fieldNorm(doc=6883)
   

2. Egghe, L.: Expansion of the field of informetrics : the second special issue (2006) 4.74

   4.741258 = sum of:
     4.741258 = weight(author_txt:egghe in 7119) [ClassicSimilarity], result of:
       4.741258 = fieldWeight in 7119, product of:
         1.0 = tf(freq=1.0), with freq of:
           1.0 = termFreq=1.0
         7.5860133 = idf(docFreq=60, maxDocs=44218)
         0.625 = fieldNorm(doc=7119)
   

3. Egghe, L.: Expansion of the field of informetrics : origins and consequences (2005) 4.74

   4.741258 = sum of:
     4.741258 = weight(author_txt:egghe in 1910) [ClassicSimilarity], result of:
       4.741258 = fieldWeight in 1910, product of:
         1.0 = tf(freq=1.0), with freq of:
           1.0 = termFreq=1.0
         7.5860133 = idf(docFreq=60, maxDocs=44218)
         0.625 = fieldNorm(doc=1910)
   

4. Egghe, L.: ¬The amount of actions needed for shelving and reshelving (1996) 4.74

   4.741258 = sum of:
     4.741258 = weight(author_txt:egghe in 4394) [ClassicSimilarity], result of:
       4.741258 = fieldWeight in 4394, product of:
         1.0 = tf(freq=1.0), with freq of:
           1.0 = termFreq=1.0
         7.5860133 = idf(docFreq=60, maxDocs=44218)
         0.625 = fieldNorm(doc=4394)
   

5. Egghe, L.: Special features of the author - publication relationship and a new explanation of Lotka's law based on convolution theory (1994) 4.74

   4.741258 = sum of:
     4.741258 = weight(author_txt:egghe in 5068) [ClassicSimilarity], result of:
       4.741258 = fieldWeight in 5068, product of:
         1.0 = tf(freq=1.0), with freq of:
           1.0 = termFreq=1.0
         7.5860133 = idf(docFreq=60, maxDocs=44218)
         0.625 = fieldNorm(doc=5068)
   

Similar documents (content)

1. Borwein, J.; Stanway, T.: Knowledge and community in mathematics (2005) 0.13

   0.13090023 = sum of:
     0.13090023 = product of:
       0.46750084 = sum of:
         0.023558069 = weight(abstract_txt:focuses in 3662) [ClassicSimilarity], result of:
           0.023558069 = score(doc=3662,freq=1.0), product of:
             0.09363826 = queryWeight, product of:
               1.0459006 = boost
               5.3671665 = idf(docFreq=560, maxDocs=44218)
               0.016680839 = queryNorm
             0.25158593 = fieldWeight in 3662, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.3671665 = idf(docFreq=560, maxDocs=44218)
               0.046875 = fieldNorm(doc=3662)
         0.025906706 = weight(abstract_txt:makes in 3662) [ClassicSimilarity], result of:
           0.025906706 = score(doc=3662,freq=1.0), product of:
             0.09976274 = queryWeight, product of:
               1.0795628 = boost
               5.5399084 = idf(docFreq=471, maxDocs=44218)
               0.016680839 = queryNorm
             0.2596832 = fieldWeight in 3662, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.5399084 = idf(docFreq=471, maxDocs=44218)
               0.046875 = fieldNorm(doc=3662)
         0.04029586 = weight(abstract_txt:comments in 3662) [ClassicSimilarity], result of:
           0.04029586 = score(doc=3662,freq=1.0), product of:
             0.1339267 = queryWeight, product of:
               1.2508272 = boost
               6.4187727 = idf(docFreq=195, maxDocs=44218)
               0.016680839 = queryNorm
             0.30087996 = fieldWeight in 3662, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.4187727 = idf(docFreq=195, maxDocs=44218)
               0.046875 = fieldNorm(doc=3662)
         0.02844235 = weight(abstract_txt:theory in 3662) [ClassicSimilarity], result of:
           0.02844235 = score(doc=3662,freq=1.0), product of:
             0.13376644 = queryWeight, product of:
               1.767878 = boost
               4.5360413 = idf(docFreq=1287, maxDocs=44218)
               0.016680839 = queryNorm
             0.21262693 = fieldWeight in 3662, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.5360413 = idf(docFreq=1287, maxDocs=44218)
               0.046875 = fieldNorm(doc=3662)
         0.032658104 = weight(abstract_txt:aspects in 3662) [ClassicSimilarity], result of:
           0.032658104 = score(doc=3662,freq=1.0), product of:
             0.14667773 = queryWeight, product of:
               1.8512318 = boost
               4.7499113 = idf(docFreq=1039, maxDocs=44218)
               0.016680839 = queryNorm
             0.2226521 = fieldWeight in 3662, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.7499113 = idf(docFreq=1039, maxDocs=44218)
               0.046875 = fieldNorm(doc=3662)
         0.054950036 = weight(abstract_txt:theories in 3662) [ClassicSimilarity], result of:
           0.054950036 = score(doc=3662,freq=1.0), product of:
             0.20749877 = queryWeight, product of:
               2.2018437 = boost
               5.649515 = idf(docFreq=422, maxDocs=44218)
               0.016680839 = queryNorm
             0.26482102 = fieldWeight in 3662, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.649515 = idf(docFreq=422, maxDocs=44218)
               0.046875 = fieldNorm(doc=3662)
         0.26168972 = weight(abstract_txt:mathematical in 3662) [ClassicSimilarity], result of:
           0.26168972 = score(doc=3662,freq=5.0), product of:
             0.39318934 = queryWeight, product of:
               3.7121475 = boost
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.016680839 = queryNorm
             0.6655565 = fieldWeight in 3662, product of:
               2.236068 = tf(freq=5.0), with freq of:
                 5.0 = termFreq=5.0
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.046875 = fieldNorm(doc=3662)
       0.28 = coord(7/25)
   

2. Dominich, S.: Mathematical foundations of information retrieval (2001) 0.12

   0.116927564 = sum of:
     0.116927564 = product of:
       0.7307973 = sum of:
         0.05300171 = weight(abstract_txt:light in 1753) [ClassicSimilarity], result of:
           0.05300171 = score(doc=1753,freq=1.0), product of:
             0.11437233 = queryWeight, product of:
               1.1559105 = boost
               5.931696 = idf(docFreq=318, maxDocs=44218)
               0.016680839 = queryNorm
             0.46341375 = fieldWeight in 1753, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.931696 = idf(docFreq=318, maxDocs=44218)
               0.078125 = fieldNorm(doc=1753)
         0.15261379 = weight(abstract_txt:sheds in 1753) [ClassicSimilarity], result of:
           0.15261379 = score(doc=1753,freq=1.0), product of:
             0.23148538 = queryWeight, product of:
               1.6444683 = boost
               8.43879 = idf(docFreq=25, maxDocs=44218)
               0.016680839 = queryNorm
             0.6592805 = fieldWeight in 1753, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               8.43879 = idf(docFreq=25, maxDocs=44218)
               0.078125 = fieldNorm(doc=1753)
         0.047403913 = weight(abstract_txt:theory in 1753) [ClassicSimilarity], result of:
           0.047403913 = score(doc=1753,freq=1.0), product of:
             0.13376644 = queryWeight, product of:
               1.767878 = boost
               4.5360413 = idf(docFreq=1287, maxDocs=44218)
               0.016680839 = queryNorm
             0.35437822 = fieldWeight in 1753, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.5360413 = idf(docFreq=1287, maxDocs=44218)
               0.078125 = fieldNorm(doc=1753)
         0.4777779 = weight(abstract_txt:mathematical in 1753) [ClassicSimilarity], result of:
           0.4777779 = score(doc=1753,freq=6.0), product of:
             0.39318934 = queryWeight, product of:
               3.7121475 = boost
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.016680839 = queryNorm
             1.2151344 = fieldWeight in 1753, product of:
               2.4494898 = tf(freq=6.0), with freq of:
                 6.0 = termFreq=6.0
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.078125 = fieldNorm(doc=1753)
       0.16 = coord(4/25)
   

3. Moed, H.F.; Halevi, G.: On full text download and citation distributions in scientific-scholarly journals (2016) 0.11

   0.10641952 = sum of:
     0.10641952 = product of:
       0.5320976 = sum of:
         0.0475519 = weight(abstract_txt:journals in 2646) [ClassicSimilarity], result of:
           0.0475519 = score(doc=2646,freq=3.0), product of:
             0.085599765 = queryWeight, product of:
               5.1316223 = idf(docFreq=709, maxDocs=44218)
               0.016680839 = queryNorm
             0.5555144 = fieldWeight in 2646, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               5.1316223 = idf(docFreq=709, maxDocs=44218)
               0.0625 = fieldNorm(doc=2646)
         0.048027348 = weight(abstract_txt:journal in 2646) [ClassicSimilarity], result of:
           0.048027348 = score(doc=2646,freq=3.0), product of:
             0.08616939 = queryWeight, product of:
               1.0033218 = boost
               5.1486683 = idf(docFreq=697, maxDocs=44218)
               0.016680839 = queryNorm
             0.5573597 = fieldWeight in 2646, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               5.1486683 = idf(docFreq=697, maxDocs=44218)
               0.0625 = fieldNorm(doc=2646)
         0.12046032 = weight(abstract_txt:obsolescence in 2646) [ClassicSimilarity], result of:
           0.12046032 = score(doc=2646,freq=1.0), product of:
             0.22941953 = queryWeight, product of:
               1.6371139 = boost
               8.401051 = idf(docFreq=26, maxDocs=44218)
               0.016680839 = queryNorm
             0.52506566 = fieldWeight in 2646, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               8.401051 = idf(docFreq=26, maxDocs=44218)
               0.0625 = fieldNorm(doc=2646)
         0.1600164 = weight(abstract_txt:citation in 2646) [ClassicSimilarity], result of:
           0.1600164 = score(doc=2646,freq=5.0), product of:
             0.2338269 = queryWeight, product of:
               2.8626719 = boost
               4.896717 = idf(docFreq=897, maxDocs=44218)
               0.016680839 = queryNorm
             0.684337 = fieldWeight in 2646, product of:
               2.236068 = tf(freq=5.0), with freq of:
                 5.0 = termFreq=5.0
               4.896717 = idf(docFreq=897, maxDocs=44218)
               0.0625 = fieldNorm(doc=2646)
         0.1560416 = weight(abstract_txt:mathematical in 2646) [ClassicSimilarity], result of:
           0.1560416 = score(doc=2646,freq=1.0), product of:
             0.39318934 = queryWeight, product of:
               3.7121475 = boost
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.016680839 = queryNorm
             0.39686123 = fieldWeight in 2646, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.0625 = fieldNorm(doc=2646)
       0.2 = coord(5/25)
   

4. Smolinsky, L.; Lercher, A.; McDaniel, A.: Testing theories of preferential attachment in random networks of citations (2015) 0.10

   0.10136791 = sum of:
     0.10136791 = product of:
       0.42236632 = sum of:
         0.0277286 = weight(abstract_txt:journal in 2216) [ClassicSimilarity], result of:
           0.0277286 = score(doc=2216,freq=1.0), product of:
             0.08616939 = queryWeight, product of:
               1.0033218 = boost
               5.1486683 = idf(docFreq=697, maxDocs=44218)
               0.016680839 = queryNorm
             0.32179177 = fieldWeight in 2216, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.1486683 = idf(docFreq=697, maxDocs=44218)
               0.0625 = fieldNorm(doc=2216)
         0.063450836 = weight(abstract_txt:growth in 2216) [ClassicSimilarity], result of:
           0.063450836 = score(doc=2216,freq=3.0), product of:
             0.10374939 = queryWeight, product of:
               1.1009219 = boost
               5.649515 = idf(docFreq=422, maxDocs=44218)
               0.016680839 = queryNorm
             0.6115779 = fieldWeight in 2216, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               5.649515 = idf(docFreq=422, maxDocs=44218)
               0.0625 = fieldNorm(doc=2216)
         0.04200302 = weight(abstract_txt:complexity in 2216) [ClassicSimilarity], result of:
           0.04200302 = score(doc=2216,freq=1.0), product of:
             0.113654874 = queryWeight, product of:
               1.1522793 = boost
               5.913062 = idf(docFreq=324, maxDocs=44218)
               0.016680839 = queryNorm
             0.36956638 = fieldWeight in 2216, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.913062 = idf(docFreq=324, maxDocs=44218)
               0.0625 = fieldNorm(doc=2216)
         0.061580714 = weight(abstract_txt:aspects in 2216) [ClassicSimilarity], result of:
           0.061580714 = score(doc=2216,freq=2.0), product of:
             0.14667773 = queryWeight, product of:
               1.8512318 = boost
               4.7499113 = idf(docFreq=1039, maxDocs=44218)
               0.016680839 = queryNorm
             0.41983682 = fieldWeight in 2216, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               4.7499113 = idf(docFreq=1039, maxDocs=44218)
               0.0625 = fieldNorm(doc=2216)
         0.071561515 = weight(abstract_txt:citation in 2216) [ClassicSimilarity], result of:
           0.071561515 = score(doc=2216,freq=1.0), product of:
             0.2338269 = queryWeight, product of:
               2.8626719 = boost
               4.896717 = idf(docFreq=897, maxDocs=44218)
               0.016680839 = queryNorm
             0.30604482 = fieldWeight in 2216, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.896717 = idf(docFreq=897, maxDocs=44218)
               0.0625 = fieldNorm(doc=2216)
         0.1560416 = weight(abstract_txt:mathematical in 2216) [ClassicSimilarity], result of:
           0.1560416 = score(doc=2216,freq=1.0), product of:
             0.39318934 = queryWeight, product of:
               3.7121475 = boost
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.016680839 = queryNorm
             0.39686123 = fieldWeight in 2216, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.0625 = fieldNorm(doc=2216)
       0.24 = coord(6/25)
   

5. Tonta, Y.; Ünal, Y.: Scatter of journals and literature obsolescence reflected in document delivery requests (2005) 0.10

   0.0994886 = sum of:
     0.0994886 = product of:
       0.497443 = sum of:
         0.077042885 = weight(abstract_txt:journals in 3271) [ClassicSimilarity], result of:
           0.077042885 = score(doc=3271,freq=14.0), product of:
             0.085599765 = queryWeight, product of:
               5.1316223 = idf(docFreq=709, maxDocs=44218)
               0.016680839 = queryNorm
             0.9000362 = fieldWeight in 3271, product of:
               3.7416575 = tf(freq=14.0), with freq of:
                 14.0 = termFreq=14.0
               5.1316223 = idf(docFreq=709, maxDocs=44218)
               0.046875 = fieldNorm(doc=3271)
         0.06238935 = weight(abstract_txt:journal in 3271) [ClassicSimilarity], result of:
           0.06238935 = score(doc=3271,freq=9.0), product of:
             0.08616939 = queryWeight, product of:
               1.0033218 = boost
               5.1486683 = idf(docFreq=697, maxDocs=44218)
               0.016680839 = queryNorm
             0.72403145 = fieldWeight in 3271, product of:
               3.0 = tf(freq=9.0), with freq of:
                 9.0 = termFreq=9.0
               5.1486683 = idf(docFreq=697, maxDocs=44218)
               0.046875 = fieldNorm(doc=3271)
         0.049723312 = weight(abstract_txt:reflected in 3271) [ClassicSimilarity], result of:
           0.049723312 = score(doc=3271,freq=1.0), product of:
             0.1540755 = queryWeight, product of:
               1.3416231 = boost
               6.8847027 = idf(docFreq=122, maxDocs=44218)
               0.016680839 = queryNorm
             0.32272044 = fieldWeight in 3271, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.8847027 = idf(docFreq=122, maxDocs=44218)
               0.046875 = fieldNorm(doc=3271)
         0.15648253 = weight(abstract_txt:obsolescence in 3271) [ClassicSimilarity], result of:
           0.15648253 = score(doc=3271,freq=3.0), product of:
             0.22941953 = queryWeight, product of:
               1.6371139 = boost
               8.401051 = idf(docFreq=26, maxDocs=44218)
               0.016680839 = queryNorm
             0.68208027 = fieldWeight in 3271, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               8.401051 = idf(docFreq=26, maxDocs=44218)
               0.046875 = fieldNorm(doc=3271)
         0.1518049 = weight(abstract_txt:citation in 3271) [ClassicSimilarity], result of:
           0.1518049 = score(doc=3271,freq=8.0), product of:
             0.2338269 = queryWeight, product of:
               2.8626719 = boost
               4.896717 = idf(docFreq=897, maxDocs=44218)
               0.016680839 = queryNorm
             0.6492191 = fieldWeight in 3271, product of:
               2.828427 = tf(freq=8.0), with freq of:
                 8.0 = termFreq=8.0
               4.896717 = idf(docFreq=897, maxDocs=44218)
               0.046875 = fieldNorm(doc=3271)
       0.2 = coord(5/25)