Results 111 to 120 of about 45,393 (304)
On the dimension of partially ordered sets
Journal of Combinatorial Theory, Series A, 1977 AbstractA generalization of the concept of dimension of a poset, the stable dimension, is introduced, and it is shown that there is a simple procedure for determining its value. No such procedure is known for the dimension itself. The main theorem shows that the stable dimension is equal to the maximum number of elements in a pair of antichains of the ...
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Asymptotic enumeration of partially ordered sets [PDF]
Pacific Journal of Mathematics, 1980 The author define the entropy function S( ρ)=Lim n- ∞ 2n −2 lnN (n, ρ ), where N(n, ρ ) is the number of distinct partial order relations which may be defined on a set of n elements such that a fraction ρ of the possible n(n−1)/2 pairs are comparable.We derive upper bounds to S(ρ) to show that S(ρ) .699.
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, 2008 ' Formal methods for the description of spatial mathematical relations can theories be based of order. on Subdivisions.iil;;;;;;resented ordered sets (posets), as partially a moder that is generai;;"Gil;;;Jlspat,ar inclusion and queries ...
Modelling Spatial Relations +3 more
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Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular Oncology, EarlyView.This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
Molecular Oncology, EarlyView.In this explorative study, the abundance of circular RNA molecules in bone marrow stem cells was found to be elevated in patients with high‐risk myelodysplastic neoplasms, and to be associated with an increased risk of progression to acute myeloid leukemia.
Eileen Wedge +17 more
wiley +1 more source
, 2020 We consider probability distributions with constant rate on partially ordered sets, generalizing distributions in the usual reliability setting 0, ∞ , ≤ that have constant failure rate. In spite of the minimal algebraic structure, there is a surprisingly
Kyle Siegrist
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Stieltjes integral equations in partially ordered sets
, 1975 Stieltjes integral equations are considered in partially ordered sets of real valued functions, and connections are made using integral inequalities to the existence and uniqueness problems of hereditary systems which are not ...
Reneke, James A
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Subtype‐specific enhancer RNAs define transcriptional regulators and prognosis in breast cancers
Molecular Oncology, EarlyView.This study employed machine learning methodologies to perform the subtype‐specific classification of RNA‐seq data sets, which are mapped on enhancers from TCGA‐derived breast cancer patients. Their integration with gene expression (referred to as ProxCReAM eRNAs) and chromatin accessibility profiles has the potential to identify lineage‐specific and ...
Aamena Y. Patel +6 more
wiley +1 more source
Evolutionary Search under Partially Ordered Fitness Sets
, 1999 The search for minimal elements in partially ordered sets is a generalization of the task of finding Pareto-optimal elements in multi-criteria optimization problems.
Günter Rudolph
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Some Properties of Partially Ordered Sets [PDF]
, 1966 It may be said of certain pairs of elements of a set that one element precedes the other. If the collection of all such pairs of elements in a given set exhibits certain properties, the set and the collection of pairs is said to constitute a partially ...
Hudson, Philip Wayne
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