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Digitale Medien

On the dimensions of ordered sets of bounded degree (1986)

Füredi, Z. ; Kahn, J.

Springer

Order 3 (1986), S. 15-20

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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

URL: http://dx.doi.org/10.1007/BF00403406

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Digitale Medien

Dimension versus size (1988)

Füredi, Zoltán ; Kahn, Jeff

Springer

Order 5 (1988), S. 17-20

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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

URL: http://dx.doi.org/10.1007/BF00143893

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Digitale Medien

Barseem (Trifolium alexandrnum) protein concentrate in broiler rations (1986)

Nazir, Mohammad ; Kahn, Allah Ditta ; Shah, Farrukh Hassan

Springer

Plant foods for human nutrition 36 (1986), S. 185-190

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ISSN: 1573-9104

Schlagwort(e): Barseem ; leaf protein ; poultry ration

Quelle: Springer Online Journal Archives 1860-2000

Thema: Land- und Forstwirtschaft, Gartenbau, Fischereiwirtschaft, Hauswirtschaft

Notizen: Abstract Animal protein in broiler rations was replaced with Barseem Protein Concentrate (BPC). The standard group having blood, meat and fish meal as sources of animal protein showed an average weight gain of 1655 g. Replacement of blood meal with BPC resulted in a slight decrease in the average weight gain (1541 g) of broilers. Average weight gain of broilers increased to 1775 g and 1671 g when fish or meat meal was replaced with BPC in rations. Complete replacement of animal protein with BPC adversely affected growth and average weight gain decreased to 1443 g. Supplementation with lysine or methionine when animal protein was replaced with BPC did not improve growth of the broilers.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01092035

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