Document (#43934)

Author
Bischoff, M.
Title
Eine (fast) unlösbare Aufgabe mit tragischem Ende : die fabelhafte Welt der Mathematik
Source
https://www.spektrum.de/kolumne/galois-bewies-die-unloesbarkeit-von-polynomen-fuenften-grades/2119806?utm_source=pocket-newtab-global-de-DE
Year
2023
Series
Spektrum.de / Mathematik
Abstract
Galois stirbt mit 20 Jahren in einem Duell, Abel erliegt 26-jährig der Tuberkulose: Dass es keine Lösungsformel für Polynome fünften Grades gibt, haben zwei Mathematiker mit tragischem Schicksal bewiesen.
Content
Gelungene Darstellung des Zusammenhangs zwischen der Frage nach der Auflösbarkeit von Polynomgleichungen und Galoisgruppen.
Field
Mathematik

Similar documents (author)

  1. Bischoff, U.: ¬Die Informationslawine : wie ist die Nachrichtenfülle zu bewältigen? (1967) 5.66 
    5.664006 = sum of:
  5.664006 = weight(author_txt:bischoff in 4974) [ClassicSimilarity], result of:
    5.664006 = fieldWeight in 4974, product of:
      1.0 = tf(freq=1.0), with freq of:
        1.0 = termFreq=1.0
      9.06241 = idf(docFreq=13, maxDocs=44421)
      0.625 = fieldNorm(doc=4974)
  2. Bischoff, M.: KI lernt die Sprache der Mathematik (2020) 5.66 
    5.664006 = sum of:
  5.664006 = weight(author_txt:bischoff in 904) [ClassicSimilarity], result of:
    5.664006 = fieldWeight in 904, product of:
      1.0 = tf(freq=1.0), with freq of:
        1.0 = termFreq=1.0
      9.06241 = idf(docFreq=13, maxDocs=44421)
      0.625 = fieldNorm(doc=904)
  3. Bischoff, M.: ¬Das grosse Experiment (2021) 5.66 
    5.664006 = sum of:
  5.664006 = weight(author_txt:bischoff in 1330) [ClassicSimilarity], result of:
    5.664006 = fieldWeight in 1330, product of:
      1.0 = tf(freq=1.0), with freq of:
        1.0 = termFreq=1.0
      9.06241 = idf(docFreq=13, maxDocs=44421)
      0.625 = fieldNorm(doc=1330)
  4. Bischoff, M.: Hobby-Mathematiker findet die lang ersehnte Einstein-Kachel : Mathematisches Mosaik (2023) 5.66 
    5.664006 = sum of:
  5.664006 = weight(author_txt:bischoff in 1937) [ClassicSimilarity], result of:
    5.664006 = fieldWeight in 1937, product of:
      1.0 = tf(freq=1.0), with freq of:
        1.0 = termFreq=1.0
      9.06241 = idf(docFreq=13, maxDocs=44421)
      0.625 = fieldNorm(doc=1937)
  5. Bischoff, M.: ¬Das Dornröschen-Problem spaltet die Mathewelt : Die fabelhafte Welt der Mathematik (2023) 5.66 
    5.664006 = sum of:
  5.664006 = weight(author_txt:bischoff in 1941) [ClassicSimilarity], result of:
    5.664006 = fieldWeight in 1941, product of:
      1.0 = tf(freq=1.0), with freq of:
        1.0 = termFreq=1.0
      9.06241 = idf(docFreq=13, maxDocs=44421)
      0.625 = fieldNorm(doc=1941)

Similar documents (content)

  1. Heintz, B.: ¬Die Innenwelt der Mathematik : Zur Kultur und Praxis einer beweisenden Disziplin (2000) 0.30 
    0.30016395 = sum of:
  0.30016395 = product of:
    0.6753689 = sum of:
      0.02171228 = weight(abstract_txt:eine in 1736) [ClassicSimilarity], result of:
        0.02171228 = score(doc=1736,freq=4.0), product of:
          0.056898255 = queryWeight, product of:
            3.4888992 = idf(docFreq=3686, maxDocs=44421)
            0.01630837 = queryNorm
          0.38159835 = fieldWeight in 1736, product of:
            2.0 = tf(freq=4.0), with freq of:
              4.0 = termFreq=4.0
            3.4888992 = idf(docFreq=3686, maxDocs=44421)
            0.0546875 = fieldNorm(doc=1736)
      0.020834075 = weight(abstract_txt:einem in 1736) [ClassicSimilarity], result of:
        0.020834075 = score(doc=1736,freq=1.0), product of:
          0.08786815 = queryWeight, product of:
            1.2426999 = boost
            4.3356547 = idf(docFreq=1580, maxDocs=44421)
            0.01630837 = queryNorm
          0.23710611 = fieldWeight in 1736, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            4.3356547 = idf(docFreq=1580, maxDocs=44421)
            0.0546875 = fieldNorm(doc=1736)
      0.023592312 = weight(abstract_txt:dass in 1736) [ClassicSimilarity], result of:
        0.023592312 = score(doc=1736,freq=1.0), product of:
          0.09546166 = queryWeight, product of:
            1.295284 = boost
            4.5191154 = idf(docFreq=1315, maxDocs=44421)
            0.01630837 = queryNorm
          0.24713913 = fieldWeight in 1736, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            4.5191154 = idf(docFreq=1315, maxDocs=44421)
            0.0546875 = fieldNorm(doc=1736)
      0.02589841 = weight(abstract_txt:haben in 1736) [ClassicSimilarity], result of:
        0.02589841 = score(doc=1736,freq=1.0), product of:
          0.10158527 = queryWeight, product of:
            1.3361828 = boost
            4.661807 = idf(docFreq=1140, maxDocs=44421)
            0.01630837 = queryNorm
          0.25494257 = fieldWeight in 1736, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            4.661807 = idf(docFreq=1140, maxDocs=44421)
            0.0546875 = fieldNorm(doc=1736)
      0.04803871 = weight(abstract_txt:gibt in 1736) [ClassicSimilarity], result of:
        0.04803871 = score(doc=1736,freq=2.0), product of:
          0.1217212 = queryWeight, product of:
            1.4626272 = boost
            5.1029587 = idf(docFreq=733, maxDocs=44421)
            0.01630837 = queryNorm
          0.3946618 = fieldWeight in 1736, product of:
            1.4142135 = tf(freq=2.0), with freq of:
              2.0 = termFreq=2.0
            5.1029587 = idf(docFreq=733, maxDocs=44421)
            0.0546875 = fieldNorm(doc=1736)
      0.06129367 = weight(abstract_txt:ende in 1736) [ClassicSimilarity], result of:
        0.06129367 = score(doc=1736,freq=1.0), product of:
          0.18040936 = queryWeight, product of:
            1.7806561 = boost
            6.2125297 = idf(docFreq=241, maxDocs=44421)
            0.01630837 = queryNorm
          0.33974773 = fieldWeight in 1736, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            6.2125297 = idf(docFreq=241, maxDocs=44421)
            0.0546875 = fieldNorm(doc=1736)
      0.22854559 = weight(abstract_txt:mathematik in 1736) [ClassicSimilarity], result of:
        0.22854559 = score(doc=1736,freq=7.0), product of:
          0.22677642 = queryWeight, product of:
            1.9964088 = boost
            6.965269 = idf(docFreq=113, maxDocs=44421)
            0.01630837 = queryNorm
          1.0078014 = fieldWeight in 1736, product of:
            2.6457512 = tf(freq=7.0), with freq of:
              7.0 = termFreq=7.0
            6.965269 = idf(docFreq=113, maxDocs=44421)
            0.0546875 = fieldNorm(doc=1736)
      0.24545382 = weight(abstract_txt:mathematiker in 1736) [ClassicSimilarity], result of:
        0.24545382 = score(doc=1736,freq=4.0), product of:
          0.28659934 = queryWeight, product of:
            2.2443373 = boost
            7.8302665 = idf(docFreq=47, maxDocs=44421)
            0.01630837 = queryNorm
          0.8564354 = fieldWeight in 1736, product of:
            2.0 = tf(freq=4.0), with freq of:
              4.0 = termFreq=4.0
            7.8302665 = idf(docFreq=47, maxDocs=44421)
            0.0546875 = fieldNorm(doc=1736)
    0.44444445 = coord(8/18)
  2. Neunzert, H.: ¬Die Zukunft der Mathematik : nicht mehr Königin, aber wichtiger Partner von Wissenschaft und Technik (2002) 0.25 
    0.24923696 = sum of:
  0.24923696 = product of:
    0.4984739 = sum of:
      0.007754386 = weight(abstract_txt:eine in 130) [ClassicSimilarity], result of:
        0.007754386 = score(doc=130,freq=1.0), product of:
          0.056898255 = queryWeight, product of:
            3.4888992 = idf(docFreq=3686, maxDocs=44421)
            0.01630837 = queryNorm
          0.13628513 = fieldWeight in 130, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            3.4888992 = idf(docFreq=3686, maxDocs=44421)
            0.0390625 = fieldNorm(doc=130)
      0.014881482 = weight(abstract_txt:einem in 130) [ClassicSimilarity], result of:
        0.014881482 = score(doc=130,freq=1.0), product of:
          0.08786815 = queryWeight, product of:
            1.2426999 = boost
            4.3356547 = idf(docFreq=1580, maxDocs=44421)
            0.01630837 = queryNorm
          0.16936152 = fieldWeight in 130, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            4.3356547 = idf(docFreq=1580, maxDocs=44421)
            0.0390625 = fieldNorm(doc=130)
      0.029187916 = weight(abstract_txt:dass in 130) [ClassicSimilarity], result of:
        0.029187916 = score(doc=130,freq=3.0), product of:
          0.09546166 = queryWeight, product of:
            1.295284 = boost
            4.5191154 = idf(docFreq=1315, maxDocs=44421)
            0.01630837 = queryNorm
          0.30575538 = fieldWeight in 130, product of:
            1.7320508 = tf(freq=3.0), with freq of:
              3.0 = termFreq=3.0
            4.5191154 = idf(docFreq=1315, maxDocs=44421)
            0.0390625 = fieldNorm(doc=130)
      0.024263212 = weight(abstract_txt:gibt in 130) [ClassicSimilarity], result of:
        0.024263212 = score(doc=130,freq=1.0), product of:
          0.1217212 = queryWeight, product of:
            1.4626272 = boost
            5.1029587 = idf(docFreq=733, maxDocs=44421)
            0.01630837 = queryNorm
          0.19933432 = fieldWeight in 130, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            5.1029587 = idf(docFreq=733, maxDocs=44421)
            0.0390625 = fieldNorm(doc=130)
      0.030563941 = weight(abstract_txt:welt in 130) [ClassicSimilarity], result of:
        0.030563941 = score(doc=130,freq=1.0), product of:
          0.14197338 = queryWeight, product of:
            1.5796249 = boost
            5.5111523 = idf(docFreq=487, maxDocs=44421)
            0.01630837 = queryNorm
          0.21527939 = fieldWeight in 130, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            5.5111523 = idf(docFreq=487, maxDocs=44421)
            0.0390625 = fieldNorm(doc=130)
      0.04378119 = weight(abstract_txt:ende in 130) [ClassicSimilarity], result of:
        0.04378119 = score(doc=130,freq=1.0), product of:
          0.18040936 = queryWeight, product of:
            1.7806561 = boost
            6.2125297 = idf(docFreq=241, maxDocs=44421)
            0.01630837 = queryNorm
          0.24267694 = fieldWeight in 130, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            6.2125297 = idf(docFreq=241, maxDocs=44421)
            0.0390625 = fieldNorm(doc=130)
      0.04663937 = weight(abstract_txt:aufgabe in 130) [ClassicSimilarity], result of:
        0.04663937 = score(doc=130,freq=1.0), product of:
          0.18817812 = queryWeight, product of:
            1.8185912 = boost
            6.3448815 = idf(docFreq=211, maxDocs=44421)
            0.01630837 = queryNorm
          0.24784693 = fieldWeight in 130, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            6.3448815 = idf(docFreq=211, maxDocs=44421)
            0.0390625 = fieldNorm(doc=130)
      0.21374032 = weight(abstract_txt:mathematik in 130) [ClassicSimilarity], result of:
        0.21374032 = score(doc=130,freq=12.0), product of:
          0.22677642 = queryWeight, product of:
            1.9964088 = boost
            6.965269 = idf(docFreq=113, maxDocs=44421)
            0.01630837 = queryNorm
          0.9425156 = fieldWeight in 130, product of:
            3.4641016 = tf(freq=12.0), with freq of:
              12.0 = termFreq=12.0
            6.965269 = idf(docFreq=113, maxDocs=44421)
            0.0390625 = fieldNorm(doc=130)
      0.08766208 = weight(abstract_txt:mathematiker in 130) [ClassicSimilarity], result of:
        0.08766208 = score(doc=130,freq=1.0), product of:
          0.28659934 = queryWeight, product of:
            2.2443373 = boost
            7.8302665 = idf(docFreq=47, maxDocs=44421)
            0.01630837 = queryNorm
          0.3058698 = fieldWeight in 130, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            7.8302665 = idf(docFreq=47, maxDocs=44421)
            0.0390625 = fieldNorm(doc=130)
    0.5 = coord(9/18)
  3. Rötzer, F.: ¬Das globale Gehirn : Eine Leitbotschaft (2005) 0.18 
    0.18032539 = sum of:
  0.18032539 = product of:
    0.36065078 = sum of:
      0.015352901 = weight(abstract_txt:eine in 4485) [ClassicSimilarity], result of:
        0.015352901 = score(doc=4485,freq=2.0), product of:
          0.056898255 = queryWeight, product of:
            3.4888992 = idf(docFreq=3686, maxDocs=44421)
            0.01630837 = queryNorm
          0.2698308 = fieldWeight in 4485, product of:
            1.4142135 = tf(freq=2.0), with freq of:
              2.0 = termFreq=2.0
            3.4888992 = idf(docFreq=3686, maxDocs=44421)
            0.0546875 = fieldNorm(doc=4485)
      0.04166815 = weight(abstract_txt:einem in 4485) [ClassicSimilarity], result of:
        0.04166815 = score(doc=4485,freq=4.0), product of:
          0.08786815 = queryWeight, product of:
            1.2426999 = boost
            4.3356547 = idf(docFreq=1580, maxDocs=44421)
            0.01630837 = queryNorm
          0.47421223 = fieldWeight in 4485, product of:
            2.0 = tf(freq=4.0), with freq of:
              4.0 = termFreq=4.0
            4.3356547 = idf(docFreq=1580, maxDocs=44421)
            0.0546875 = fieldNorm(doc=4485)
      0.023592312 = weight(abstract_txt:dass in 4485) [ClassicSimilarity], result of:
        0.023592312 = score(doc=4485,freq=1.0), product of:
          0.09546166 = queryWeight, product of:
            1.295284 = boost
            4.5191154 = idf(docFreq=1315, maxDocs=44421)
            0.01630837 = queryNorm
          0.24713913 = fieldWeight in 4485, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            4.5191154 = idf(docFreq=1315, maxDocs=44421)
            0.0546875 = fieldNorm(doc=4485)
      0.036625884 = weight(abstract_txt:haben in 4485) [ClassicSimilarity], result of:
        0.036625884 = score(doc=4485,freq=2.0), product of:
          0.10158527 = queryWeight, product of:
            1.3361828 = boost
            4.661807 = idf(docFreq=1140, maxDocs=44421)
            0.01630837 = queryNorm
          0.36054325 = fieldWeight in 4485, product of:
            1.4142135 = tf(freq=2.0), with freq of:
              2.0 = termFreq=2.0
            4.661807 = idf(docFreq=1140, maxDocs=44421)
            0.0546875 = fieldNorm(doc=4485)
      0.033968497 = weight(abstract_txt:gibt in 4485) [ClassicSimilarity], result of:
        0.033968497 = score(doc=4485,freq=1.0), product of:
          0.1217212 = queryWeight, product of:
            1.4626272 = boost
            5.1029587 = idf(docFreq=733, maxDocs=44421)
            0.01630837 = queryNorm
          0.27906805 = fieldWeight in 4485, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            5.1029587 = idf(docFreq=733, maxDocs=44421)
            0.0546875 = fieldNorm(doc=4485)
      0.034579832 = weight(abstract_txt:jahren in 4485) [ClassicSimilarity], result of:
        0.034579832 = score(doc=4485,freq=1.0), product of:
          0.12317727 = queryWeight, product of:
            1.4713494 = boost
            5.1333895 = idf(docFreq=711, maxDocs=44421)
            0.01630837 = queryNorm
          0.28073224 = fieldWeight in 4485, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            5.1333895 = idf(docFreq=711, maxDocs=44421)
            0.0546875 = fieldNorm(doc=4485)
      0.06051352 = weight(abstract_txt:welt in 4485) [ClassicSimilarity], result of:
        0.06051352 = score(doc=4485,freq=2.0), product of:
          0.14197338 = queryWeight, product of:
            1.5796249 = boost
            5.5111523 = idf(docFreq=487, maxDocs=44421)
            0.01630837 = queryNorm
          0.42623144 = fieldWeight in 4485, product of:
            1.4142135 = tf(freq=2.0), with freq of:
              2.0 = termFreq=2.0
            5.5111523 = idf(docFreq=487, maxDocs=44421)
            0.0546875 = fieldNorm(doc=4485)
      0.053056017 = weight(abstract_txt:keine in 4485) [ClassicSimilarity], result of:
        0.053056017 = score(doc=4485,freq=1.0), product of:
          0.16385955 = queryWeight, product of:
            1.6970178 = boost
            5.920724 = idf(docFreq=323, maxDocs=44421)
            0.01630837 = queryNorm
          0.3237896 = fieldWeight in 4485, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            5.920724 = idf(docFreq=323, maxDocs=44421)
            0.0546875 = fieldNorm(doc=4485)
      0.06129367 = weight(abstract_txt:ende in 4485) [ClassicSimilarity], result of:
        0.06129367 = score(doc=4485,freq=1.0), product of:
          0.18040936 = queryWeight, product of:
            1.7806561 = boost
            6.2125297 = idf(docFreq=241, maxDocs=44421)
            0.01630837 = queryNorm
          0.33974773 = fieldWeight in 4485, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            6.2125297 = idf(docFreq=241, maxDocs=44421)
            0.0546875 = fieldNorm(doc=4485)
    0.5 = coord(9/18)
  4. Stammbach, U.: ¬"Die Mathematik ist eine gar herrliche Wissenschaft" (2005) 0.17 
    0.17017011 = sum of:
  0.17017011 = product of:
    0.4375803 = sum of:
      0.01611719 = weight(abstract_txt:eine in 95) [ClassicSimilarity], result of:
        0.01611719 = score(doc=95,freq=3.0), product of:
          0.056898255 = queryWeight, product of:
            3.4888992 = idf(docFreq=3686, maxDocs=44421)
            0.01630837 = queryNorm
          0.28326333 = fieldWeight in 95, product of:
            1.7320508 = tf(freq=3.0), with freq of:
              3.0 = termFreq=3.0
            3.4888992 = idf(docFreq=3686, maxDocs=44421)
            0.046875 = fieldNorm(doc=95)
      0.030930577 = weight(abstract_txt:einem in 95) [ClassicSimilarity], result of:
        0.030930577 = score(doc=95,freq=3.0), product of:
          0.08786815 = queryWeight, product of:
            1.2426999 = boost
            4.3356547 = idf(docFreq=1580, maxDocs=44421)
            0.01630837 = queryNorm
          0.35201126 = fieldWeight in 95, product of:
            1.7320508 = tf(freq=3.0), with freq of:
              3.0 = termFreq=3.0
            4.3356547 = idf(docFreq=1580, maxDocs=44421)
            0.046875 = fieldNorm(doc=95)
      0.022198638 = weight(abstract_txt:haben in 95) [ClassicSimilarity], result of:
        0.022198638 = score(doc=95,freq=1.0), product of:
          0.10158527 = queryWeight, product of:
            1.3361828 = boost
            4.661807 = idf(docFreq=1140, maxDocs=44421)
            0.01630837 = queryNorm
          0.2185222 = fieldWeight in 95, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            4.661807 = idf(docFreq=1140, maxDocs=44421)
            0.046875 = fieldNorm(doc=95)
      0.029115856 = weight(abstract_txt:gibt in 95) [ClassicSimilarity], result of:
        0.029115856 = score(doc=95,freq=1.0), product of:
          0.1217212 = queryWeight, product of:
            1.4626272 = boost
            5.1029587 = idf(docFreq=733, maxDocs=44421)
            0.01630837 = queryNorm
          0.23920119 = fieldWeight in 95, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            5.1029587 = idf(docFreq=733, maxDocs=44421)
            0.046875 = fieldNorm(doc=95)
      0.042366922 = weight(abstract_txt:fast in 95) [ClassicSimilarity], result of:
        0.042366922 = score(doc=95,freq=1.0), product of:
          0.15630198 = queryWeight, product of:
            1.6574206 = boost
            5.7825737 = idf(docFreq=371, maxDocs=44421)
            0.01630837 = queryNorm
          0.27105814 = fieldWeight in 95, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            5.7825737 = idf(docFreq=371, maxDocs=44421)
            0.046875 = fieldNorm(doc=95)
      0.14808364 = weight(abstract_txt:mathematik in 95) [ClassicSimilarity], result of:
        0.14808364 = score(doc=95,freq=4.0), product of:
          0.22677642 = queryWeight, product of:
            1.9964088 = boost
            6.965269 = idf(docFreq=113, maxDocs=44421)
            0.01630837 = queryNorm
          0.652994 = fieldWeight in 95, product of:
            2.0 = tf(freq=4.0), with freq of:
              4.0 = termFreq=4.0
            6.965269 = idf(docFreq=113, maxDocs=44421)
            0.046875 = fieldNorm(doc=95)
      0.14876747 = weight(abstract_txt:mathematiker in 95) [ClassicSimilarity], result of:
        0.14876747 = score(doc=95,freq=2.0), product of:
          0.28659934 = queryWeight, product of:
            2.2443373 = boost
            7.8302665 = idf(docFreq=47, maxDocs=44421)
            0.01630837 = queryNorm
          0.5190782 = fieldWeight in 95, product of:
            1.4142135 = tf(freq=2.0), with freq of:
              2.0 = termFreq=2.0
            7.8302665 = idf(docFreq=47, maxDocs=44421)
            0.046875 = fieldNorm(doc=95)
    0.3888889 = coord(7/18)
  5. Seckel, A.: Optische Illusionen (2004) 0.15 
    0.15358758 = sum of:
  0.15358758 = product of:
    0.30717516 = sum of:
      0.013430989 = weight(abstract_txt:eine in 3168) [ClassicSimilarity], result of:
        0.013430989 = score(doc=3168,freq=3.0), product of:
          0.056898255 = queryWeight, product of:
            3.4888992 = idf(docFreq=3686, maxDocs=44421)
            0.01630837 = queryNorm
          0.23605275 = fieldWeight in 3168, product of:
            1.7320508 = tf(freq=3.0), with freq of:
              3.0 = termFreq=3.0
            3.4888992 = idf(docFreq=3686, maxDocs=44421)
            0.0390625 = fieldNorm(doc=3168)
      0.037681434 = weight(abstract_txt:dass in 3168) [ClassicSimilarity], result of:
        0.037681434 = score(doc=3168,freq=5.0), product of:
          0.09546166 = queryWeight, product of:
            1.295284 = boost
            4.5191154 = idf(docFreq=1315, maxDocs=44421)
            0.01630837 = queryNorm
          0.39472848 = fieldWeight in 3168, product of:
            2.236068 = tf(freq=5.0), with freq of:
              5.0 = termFreq=5.0
            4.5191154 = idf(docFreq=1315, maxDocs=44421)
            0.0390625 = fieldNorm(doc=3168)
      0.026161343 = weight(abstract_txt:haben in 3168) [ClassicSimilarity], result of:
        0.026161343 = score(doc=3168,freq=2.0), product of:
          0.10158527 = queryWeight, product of:
            1.3361828 = boost
            4.661807 = idf(docFreq=1140, maxDocs=44421)
            0.01630837 = queryNorm
          0.25753087 = fieldWeight in 3168, product of:
            1.4142135 = tf(freq=2.0), with freq of:
              2.0 = termFreq=2.0
            4.661807 = idf(docFreq=1140, maxDocs=44421)
            0.0390625 = fieldNorm(doc=3168)
      0.034313366 = weight(abstract_txt:gibt in 3168) [ClassicSimilarity], result of:
        0.034313366 = score(doc=3168,freq=2.0), product of:
          0.1217212 = queryWeight, product of:
            1.4626272 = boost
            5.1029587 = idf(docFreq=733, maxDocs=44421)
            0.01630837 = queryNorm
          0.2819013 = fieldWeight in 3168, product of:
            1.4142135 = tf(freq=2.0), with freq of:
              2.0 = termFreq=2.0
            5.1029587 = idf(docFreq=733, maxDocs=44421)
            0.0390625 = fieldNorm(doc=3168)
      0.024699878 = weight(abstract_txt:jahren in 3168) [ClassicSimilarity], result of:
        0.024699878 = score(doc=3168,freq=1.0), product of:
          0.12317727 = queryWeight, product of:
            1.4713494 = boost
            5.1333895 = idf(docFreq=711, maxDocs=44421)
            0.01630837 = queryNorm
          0.20052302 = fieldWeight in 3168, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            5.1333895 = idf(docFreq=711, maxDocs=44421)
            0.0390625 = fieldNorm(doc=3168)
      0.04322394 = weight(abstract_txt:welt in 3168) [ClassicSimilarity], result of:
        0.04322394 = score(doc=3168,freq=2.0), product of:
          0.14197338 = queryWeight, product of:
            1.5796249 = boost
            5.5111523 = idf(docFreq=487, maxDocs=44421)
            0.01630837 = queryNorm
          0.30445102 = fieldWeight in 3168, product of:
            1.4142135 = tf(freq=2.0), with freq of:
              2.0 = termFreq=2.0
            5.5111523 = idf(docFreq=487, maxDocs=44421)
            0.0390625 = fieldNorm(doc=3168)
      0.045985874 = weight(abstract_txt:zwei in 3168) [ClassicSimilarity], result of:
        0.045985874 = score(doc=3168,freq=2.0), product of:
          0.14795864 = queryWeight, product of:
            1.6125778 = boost
            5.6261215 = idf(docFreq=434, maxDocs=44421)
            0.01630837 = queryNorm
          0.31080222 = fieldWeight in 3168, product of:
            1.4142135 = tf(freq=2.0), with freq of:
              2.0 = termFreq=2.0
            5.6261215 = idf(docFreq=434, maxDocs=44421)
            0.0390625 = fieldNorm(doc=3168)
      0.03789715 = weight(abstract_txt:keine in 3168) [ClassicSimilarity], result of:
        0.03789715 = score(doc=3168,freq=1.0), product of:
          0.16385955 = queryWeight, product of:
            1.6970178 = boost
            5.920724 = idf(docFreq=323, maxDocs=44421)
            0.01630837 = queryNorm
          0.23127827 = fieldWeight in 3168, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            5.920724 = idf(docFreq=323, maxDocs=44421)
            0.0390625 = fieldNorm(doc=3168)
      0.04378119 = weight(abstract_txt:ende in 3168) [ClassicSimilarity], result of:
        0.04378119 = score(doc=3168,freq=1.0), product of:
          0.18040936 = queryWeight, product of:
            1.7806561 = boost
            6.2125297 = idf(docFreq=241, maxDocs=44421)
            0.01630837 = queryNorm
          0.24267694 = fieldWeight in 3168, product of:
            1.0 = tf(freq=1.0), with freq of:
              1.0 = termFreq=1.0
            6.2125297 = idf(docFreq=241, maxDocs=44421)
            0.0390625 = fieldNorm(doc=3168)
    0.5 = coord(9/18)