Document (#17144)

Author
Rival, I.
Title
Order - a theory with a view
Source
Klassifikation und Ordnung. Tagungsband 12. Jahrestagung der Gesellschaft für Klassifikation, Darmstadt 17.-19.3.1988. Hrsg.: R. Wille
Imprint
Frankfurt : Indeks
Year
1989
Pages
S.149-164
Series
Studien zur Klassifikation; Bd.19
Abstract
Ordnung hat in unserer Alltagssprache eine Fülle von Bedeutungen. Als mathematischer Begriff ist Ordnung mit einer begrenzten Bedeutung festgelegt, die als eine Abstraktion der Beziehungen 'ist enthalten in', 'ist ein Teil von' und 'ist kleiner als' verstanden werden kann. Der mathematische Ordnungsbegriff tritt in vielen Bereichen der Mathematik und ihrer Anwendungen auf. Seine aktuelle Verwendbarkeit, wie etwa im Bereich der theoretischen Informatik, machen die mathematische Ordnungstheorie zu einem attraktiven Teilgebiet der gegenwärtigen Mathematik

Similar documents (content)

  1. Basieux, P.: ¬Die Architektur der Mathematik : Denken in Strukturen (2000) 0.18
    0.18269607 = sum of:
      0.18269607 = product of:
        0.65248597 = sum of:
          0.021904862 = weight(abstract_txt:eine in 3491) [ClassicSimilarity], result of:
            0.021904862 = score(doc=3491,freq=3.0), product of:
              0.066277236 = queryWeight, product of:
                1.1270876 = boost
                3.4892128 = idf(docFreq=3668, maxDocs=44218)
                0.01685308 = queryNorm
              0.33050355 = fieldWeight in 3491, product of:
                1.7320508 = tf(freq=3.0), with freq of:
                  3.0 = termFreq=3.0
                3.4892128 = idf(docFreq=3668, maxDocs=44218)
                0.0546875 = fieldNorm(doc=3491)
          0.05138133 = weight(abstract_txt:beziehungen in 3491) [ClassicSimilarity], result of:
            0.05138133 = score(doc=3491,freq=1.0), product of:
              0.13393827 = queryWeight, product of:
                1.1329554 = boost
                7.014756 = idf(docFreq=107, maxDocs=44218)
                0.01685308 = queryNorm
              0.3836195 = fieldWeight in 3491, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                7.014756 = idf(docFreq=107, maxDocs=44218)
                0.0546875 = fieldNorm(doc=3491)
          0.054251447 = weight(abstract_txt:verstanden in 3491) [ClassicSimilarity], result of:
            0.054251447 = score(doc=3491,freq=1.0), product of:
              0.13888073 = queryWeight, product of:
                1.1536697 = boost
                7.14301 = idf(docFreq=94, maxDocs=44218)
                0.01685308 = queryNorm
              0.39063337 = fieldWeight in 3491, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                7.14301 = idf(docFreq=94, maxDocs=44218)
                0.0546875 = fieldNorm(doc=3491)
          0.06415874 = weight(abstract_txt:fülle in 3491) [ClassicSimilarity], result of:
            0.06415874 = score(doc=3491,freq=1.0), product of:
              0.15531199 = queryWeight, product of:
                1.2200089 = boost
                7.5537524 = idf(docFreq=62, maxDocs=44218)
                0.01685308 = queryNorm
              0.41309583 = fieldWeight in 3491, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                7.5537524 = idf(docFreq=62, maxDocs=44218)
                0.0546875 = fieldNorm(doc=3491)
          0.10580101 = weight(abstract_txt:begrenzten in 3491) [ClassicSimilarity], result of:
            0.10580101 = score(doc=3491,freq=1.0), product of:
              0.21678421 = queryWeight, product of:
                1.4413661 = boost
                8.924298 = idf(docFreq=15, maxDocs=44218)
                0.01685308 = queryNorm
              0.48804757 = fieldWeight in 3491, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.924298 = idf(docFreq=15, maxDocs=44218)
                0.0546875 = fieldNorm(doc=3491)
          0.10811305 = weight(abstract_txt:mathematischer in 3491) [ClassicSimilarity], result of:
            0.10811305 = score(doc=3491,freq=1.0), product of:
              0.21993105 = queryWeight, product of:
                1.4517899 = boost
                8.988837 = idf(docFreq=14, maxDocs=44218)
                0.01685308 = queryNorm
              0.49157703 = fieldWeight in 3491, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.988837 = idf(docFreq=14, maxDocs=44218)
                0.0546875 = fieldNorm(doc=3491)
          0.2468755 = weight(abstract_txt:mathematik in 3491) [ClassicSimilarity], result of:
            0.2468755 = score(doc=3491,freq=6.0), product of:
              0.26443118 = queryWeight, product of:
                2.251292 = boost
                6.9694996 = idf(docFreq=112, maxDocs=44218)
                0.01685308 = queryNorm
              0.9336096 = fieldWeight in 3491, product of:
                2.4494898 = tf(freq=6.0), with freq of:
                  6.0 = termFreq=6.0
                6.9694996 = idf(docFreq=112, maxDocs=44218)
                0.0546875 = fieldNorm(doc=3491)
        0.28 = coord(7/25)
    
  2. Albrecht, C.: ¬Die Entdeckung der Weitschweifigkeit : Über das Glück, mit Markow-Ketten zu rasseln: Die Schriften Claude E. Shannons (2001) 0.14
    0.1406084 = sum of:
      0.1406084 = product of:
        0.43940124 = sum of:
          0.031366464 = weight(abstract_txt:unserer in 5643) [ClassicSimilarity], result of:
            0.031366464 = score(doc=5643,freq=2.0), product of:
              0.11109474 = queryWeight, product of:
                1.0318278 = boost
                6.3886194 = idf(docFreq=201, maxDocs=44218)
                0.01685308 = queryNorm
              0.28233975 = fieldWeight in 5643, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                6.3886194 = idf(docFreq=201, maxDocs=44218)
                0.03125 = fieldNorm(doc=5643)
          0.028262792 = weight(abstract_txt:enthalten in 5643) [ClassicSimilarity], result of:
            0.028262792 = score(doc=5643,freq=1.0), product of:
              0.13057795 = queryWeight, product of:
                1.118653 = boost
                6.926203 = idf(docFreq=117, maxDocs=44218)
                0.01685308 = queryNorm
              0.21644384 = fieldWeight in 5643, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.926203 = idf(docFreq=117, maxDocs=44218)
                0.03125 = fieldNorm(doc=5643)
          0.021680191 = weight(abstract_txt:eine in 5643) [ClassicSimilarity], result of:
            0.021680191 = score(doc=5643,freq=9.0), product of:
              0.066277236 = queryWeight, product of:
                1.1270876 = boost
                3.4892128 = idf(docFreq=3668, maxDocs=44218)
                0.01685308 = queryNorm
              0.3271137 = fieldWeight in 5643, product of:
                3.0 = tf(freq=9.0), with freq of:
                  9.0 = termFreq=9.0
                3.4892128 = idf(docFreq=3668, maxDocs=44218)
                0.03125 = fieldNorm(doc=5643)
          0.031000827 = weight(abstract_txt:verstanden in 5643) [ClassicSimilarity], result of:
            0.031000827 = score(doc=5643,freq=1.0), product of:
              0.13888073 = queryWeight, product of:
                1.1536697 = boost
                7.14301 = idf(docFreq=94, maxDocs=44218)
                0.01685308 = queryNorm
              0.22321907 = fieldWeight in 5643, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                7.14301 = idf(docFreq=94, maxDocs=44218)
                0.03125 = fieldNorm(doc=5643)
          0.061778888 = weight(abstract_txt:mathematischer in 5643) [ClassicSimilarity], result of:
            0.061778888 = score(doc=5643,freq=1.0), product of:
              0.21993105 = queryWeight, product of:
                1.4517899 = boost
                8.988837 = idf(docFreq=14, maxDocs=44218)
                0.01685308 = queryNorm
              0.28090116 = fieldWeight in 5643, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.988837 = idf(docFreq=14, maxDocs=44218)
                0.03125 = fieldNorm(doc=5643)
          0.08144778 = weight(abstract_txt:mathematik in 5643) [ClassicSimilarity], result of:
            0.08144778 = score(doc=5643,freq=2.0), product of:
              0.26443118 = queryWeight, product of:
                2.251292 = boost
                6.9694996 = idf(docFreq=112, maxDocs=44218)
                0.01685308 = queryNorm
              0.30801126 = fieldWeight in 5643, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                6.9694996 = idf(docFreq=112, maxDocs=44218)
                0.03125 = fieldNorm(doc=5643)
          0.062557384 = weight(abstract_txt:ordnung in 5643) [ClassicSimilarity], result of:
            0.062557384 = score(doc=5643,freq=1.0), product of:
              0.27941874 = queryWeight, product of:
                2.3142126 = boost
                7.1642876 = idf(docFreq=92, maxDocs=44218)
                0.01685308 = queryNorm
              0.22388399 = fieldWeight in 5643, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                7.1642876 = idf(docFreq=92, maxDocs=44218)
                0.03125 = fieldNorm(doc=5643)
          0.12130693 = weight(abstract_txt:mathematische in 5643) [ClassicSimilarity], result of:
            0.12130693 = score(doc=5643,freq=2.0), product of:
              0.3448659 = queryWeight, product of:
                2.5709913 = boost
                7.9592175 = idf(docFreq=41, maxDocs=44218)
                0.01685308 = queryNorm
              0.35175103 = fieldWeight in 5643, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                7.9592175 = idf(docFreq=41, maxDocs=44218)
                0.03125 = fieldNorm(doc=5643)
        0.32 = coord(8/25)
    
  3. Greuel, G.-M.; Sperber, W.: swMATH - ein neuer Service für die Suche nach mathematischer Software (2013) 0.10
    0.0956875 = sum of:
      0.0956875 = product of:
        0.5980469 = sum of:
          0.014453461 = weight(abstract_txt:eine in 979) [ClassicSimilarity], result of:
            0.014453461 = score(doc=979,freq=1.0), product of:
              0.066277236 = queryWeight, product of:
                1.1270876 = boost
                3.4892128 = idf(docFreq=3668, maxDocs=44218)
                0.01685308 = queryNorm
              0.2180758 = fieldWeight in 979, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                3.4892128 = idf(docFreq=3668, maxDocs=44218)
                0.0625 = fieldNorm(doc=979)
          0.123557776 = weight(abstract_txt:mathematischer in 979) [ClassicSimilarity], result of:
            0.123557776 = score(doc=979,freq=1.0), product of:
              0.21993105 = queryWeight, product of:
                1.4517899 = boost
                8.988837 = idf(docFreq=14, maxDocs=44218)
                0.01685308 = queryNorm
              0.5618023 = fieldWeight in 979, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.988837 = idf(docFreq=14, maxDocs=44218)
                0.0625 = fieldNorm(doc=979)
          0.16289556 = weight(abstract_txt:mathematik in 979) [ClassicSimilarity], result of:
            0.16289556 = score(doc=979,freq=2.0), product of:
              0.26443118 = queryWeight, product of:
                2.251292 = boost
                6.9694996 = idf(docFreq=112, maxDocs=44218)
                0.01685308 = queryNorm
              0.6160225 = fieldWeight in 979, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                6.9694996 = idf(docFreq=112, maxDocs=44218)
                0.0625 = fieldNorm(doc=979)
          0.2971401 = weight(abstract_txt:mathematische in 979) [ClassicSimilarity], result of:
            0.2971401 = score(doc=979,freq=3.0), product of:
              0.3448659 = queryWeight, product of:
                2.5709913 = boost
                7.9592175 = idf(docFreq=41, maxDocs=44218)
                0.01685308 = queryNorm
              0.86161053 = fieldWeight in 979, product of:
                1.7320508 = tf(freq=3.0), with freq of:
                  3.0 = termFreq=3.0
                7.9592175 = idf(docFreq=41, maxDocs=44218)
                0.0625 = fieldNorm(doc=979)
        0.16 = coord(4/25)
    
  4. Behrends, E.: Fünf Minuten Mathematik : 100 Beiträge der Mathematik-Kolumne der Zeitung DIE WELT (2006) 0.09
    0.08686639 = sum of:
      0.08686639 = product of:
        0.7238866 = sum of:
          0.077502064 = weight(abstract_txt:verstanden in 471) [ClassicSimilarity], result of:
            0.077502064 = score(doc=471,freq=1.0), product of:
              0.13888073 = queryWeight, product of:
                1.1536697 = boost
                7.14301 = idf(docFreq=94, maxDocs=44218)
                0.01685308 = queryNorm
              0.55804765 = fieldWeight in 471, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                7.14301 = idf(docFreq=94, maxDocs=44218)
                0.078125 = fieldNorm(doc=471)
          0.4319421 = weight(abstract_txt:mathematik in 471) [ClassicSimilarity], result of:
            0.4319421 = score(doc=471,freq=9.0), product of:
              0.26443118 = queryWeight, product of:
                2.251292 = boost
                6.9694996 = idf(docFreq=112, maxDocs=44218)
                0.01685308 = queryNorm
              1.6334765 = fieldWeight in 471, product of:
                3.0 = tf(freq=9.0), with freq of:
                  9.0 = termFreq=9.0
                6.9694996 = idf(docFreq=112, maxDocs=44218)
                0.078125 = fieldNorm(doc=471)
          0.2144424 = weight(abstract_txt:mathematische in 471) [ClassicSimilarity], result of:
            0.2144424 = score(doc=471,freq=1.0), product of:
              0.3448659 = queryWeight, product of:
                2.5709913 = boost
                7.9592175 = idf(docFreq=41, maxDocs=44218)
                0.01685308 = queryNorm
              0.6218139 = fieldWeight in 471, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                7.9592175 = idf(docFreq=41, maxDocs=44218)
                0.078125 = fieldNorm(doc=471)
        0.12 = coord(3/25)
    
  5. Leiberich, O.: Vom diplomatischen Code zur Falltürfunktion : Hundert Jahre Kryptographie in Deutschland (1999) 0.08
    0.07878836 = sum of:
      0.07878836 = product of:
        0.6565697 = sum of:
          0.036133654 = weight(abstract_txt:eine in 3676) [ClassicSimilarity], result of:
            0.036133654 = score(doc=3676,freq=1.0), product of:
              0.066277236 = queryWeight, product of:
                1.1270876 = boost
                3.4892128 = idf(docFreq=3668, maxDocs=44218)
                0.01685308 = queryNorm
              0.5451895 = fieldWeight in 3676, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                3.4892128 = idf(docFreq=3668, maxDocs=44218)
                0.15625 = fieldNorm(doc=3676)
          0.33247468 = weight(abstract_txt:teilgebiet in 3676) [ClassicSimilarity], result of:
            0.33247468 = score(doc=3676,freq=1.0), product of:
              0.23098592 = queryWeight, product of:
                1.4878298 = boost
                9.211981 = idf(docFreq=11, maxDocs=44218)
                0.01685308 = queryNorm
              1.4393721 = fieldWeight in 3676, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                9.211981 = idf(docFreq=11, maxDocs=44218)
                0.15625 = fieldNorm(doc=3676)
          0.2879614 = weight(abstract_txt:mathematik in 3676) [ClassicSimilarity], result of:
            0.2879614 = score(doc=3676,freq=1.0), product of:
              0.26443118 = queryWeight, product of:
                2.251292 = boost
                6.9694996 = idf(docFreq=112, maxDocs=44218)
                0.01685308 = queryNorm
              1.0889843 = fieldWeight in 3676, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.9694996 = idf(docFreq=112, maxDocs=44218)
                0.15625 = fieldNorm(doc=3676)
        0.12 = coord(3/25)