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  • 06A10  (3)
  • Fracture callus cartilage
  • Lattice
  • Springer  (4)
  • Periodicals Archive Online (PAO)
  • 2015-2019
  • 1985-1989  (2)
  • 1980-1984  (1)
  • 1975-1979  (1)
  • 1925-1929
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Verlag/Herausgeber
  • Springer  (4)
  • Periodicals Archive Online (PAO)
Erscheinungszeitraum
  • 2015-2019
  • 1985-1989  (2)
  • 1980-1984  (1)
  • 1975-1979  (1)
  • 1925-1929
Jahr
  • 1
    Digitale Medien
    Digitale Medien
    Springer
    Order 3 (1986), S. 15-20 
    ISSN: 1572-9273
    Schlagwort(e): 06A10 ; Partially ordered set
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract Let P be a partially ordered set. Define k = k (P) = max p∈ |{x ∈ P : p 〈 x or p = x}|, i.e., every element is comparable with at most k others. Here it is proven that there exists a constant c (c 〈 50) such that dim P 〈 ck(log k)2. This improves an earlier result of Rödl and Trotter (dim P ≤2 k 2+2). Our proof is nonconstructive, depending in part on Lovász' local lemma.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    Springer
    Order 1 (1984), S. 113-126 
    ISSN: 1572-9273
    Schlagwort(e): 06A10 ; 68E05 ; Sorting ; comparison ; information theoretic bound ; linear extension
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract We show that any finite partially ordered setP (not a total order) contains a pair of elementsx andy such that the proportion of linear extensions ofP in whichx lies belowy is between 3/11 and 8/11. A consequence is that the information theoretic lower bound for sorting under partial information is tight up to a multiplicative constant. Precisely: ifX is a totally ordered set about which we are given some partial information, and ife(X) is the number of total orderings ofX compatible with this information, then it is possible to sortX using no more thanC log2 e (X) comparisons whereC is approximately 2.17.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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  • 3
    Digitale Medien
    Digitale Medien
    Springer
    Order 5 (1988), S. 17-20 
    ISSN: 1572-9273
    Schlagwort(e): 06A10 ; 06A23 ; Lattice ; order dimension ; least size
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract We investigate the behavior of f(d), the least size of a lattice of order dimension d. In particular we show that the lattice of a projective plane of order n has dimension at least n/ln(n), so that f(d)=O(d) 2 log2 d. We conjecture f(d)=θ(d 2 ), and prove something close to this for height-3 lattices, but in general we do not even know whether f(d)/d→∞.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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  • 4
    Digitale Medien
    Digitale Medien
    Springer
    Calcified tissue international 25 (1978), S. 85-92 
    ISSN: 1432-0827
    Schlagwort(e): Fracture callus cartilage ; Matrix vesicles ; Alkaline phosphatase
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Biologie , Medizin , Physik
    Notizen: Summary Extracellular matrix vesicles from fracture callus cartilage were isolated by differential centrifugation and resolved by equilibrium centrifugation on a discontinuous sucrose gradient into two bands. The phosphohydrolytic activity towards p-nitrophenyl phosphate, tetrasodium pyrophosphate and adenosine triphosphate was distributed similarly after differential and equilibrium centrifugation suggesting the association of this activity with the matrix vesicles. The two bands isolated by equilibrium centrifugation of the partially purified vesicular preparation demonstrated high levels of alkaline phosphatase activity. Observed with an electron microscope, the 1.07–1.14 g/cm3 band from the gradient was enriched in electron luscent matrix vesicles while the 1.27 g/cm3 band contained electron dense matrix vesicles. Enzymatic analysis of the 1.27 g/cm3 band indicated a slight contamination due to the presence of mitochondria and lysosomes while the 1.07–1.14 g/cm3 band gave no enzymatic indication of subcellular contamination. A phosphohydrolytic enzyme active towards p-nitrophenyl phosphate, tetrasodium pyrophosphate and adenosine triphosphate was purified from the 1.07–1.14 g/cm3 fraction by DEAE-cellulose column chromatography. Electron micrographs of callus cartilage sections demonstrated densification of the plasma membrane and matrix vesicles following substrate incubation withβ-glycerophosphate or tetrasodium pyrophosphate. The histochemical and biochemical data indicate that a phosphatase, with multiple substrate specificity, is a component of fracture callus cartilage matrix vesicles.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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