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Functional Dependence and Analytic Functions [PDF]
AbstractWithout appealing to the Cauchy theorem or its corollaries, it is proved that the real and imaginary parts of a non-constant complex-valued analytic function of several complex variables are functionally independent. This unifies and generalizes some results sporadically treated in standard treatises on function theory.
openaire +2 more sources
Discovering Graph Functional Dependencies [PDF]
This article studies discovery of Graph Functional Dependencies (GFDs), a class of functional dependencies defined on graphs. We investigate the fixed-parameter tractability of three fundamental problems related to GFD discovery. We show that the implication and satisfiability problems are fixed-parameter tractable, but the validation problem is co-W[1]
Fan, Wenfei +3 more
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Genome-scale analysis identifies paralog lethality as a vulnerability of chromosome 1p loss in cancer. [PDF]
Functional redundancy shared by paralog genes may afford protection against genetic perturbations, but it can also result in genetic vulnerabilities due to mutual interdependency1-5.
Berger, Ashton C +22 more
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How to Mine Information from Each Instance to Extract an Abbreviated and Credible Logical Rule
Decision trees are particularly promising in symbolic representation and reasoning due to their comprehensible nature, which resembles the hierarchical process of human decision making.
Limin Wang, Minghui Sun, Chunhong Cao
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Differential effects of premorbid functional dependency on mortality in patients with anterior and posterior circulation stroke [PDF]
Background This study investigated the impact of premorbid functional dependency on post-stroke mortality in patients with anterior circulation stroke (ACS) and posterior circulation stroke (PCS).
Min-Surk Kye +12 more
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On the Family of Conditional Embedded Implicational Dependencies [PDF]
Certain second-order sentences, called conditional embedded implicational dependencies, about relations in a relational database, are defined and studied. This class of dependencies includes some of previously defined dependencies as special cases. Thus,
Victor Felea
doaj
Propagating functional dependencies with conditions [PDF]
The dependency propagation problem is to determine, given a view defined on data sources and a set of dependencies on the sources, whether another dependency is guaranteed to hold on the view.
Fan, Wenfei +4 more
core +1 more source
On the Reification of Global Constraints [PDF]
We introduce a simple idea for deriving reified global constraints in a systematic way. It is based on the observation that most global constraints can be reformulated as a conjunction of pure functional dependency constraints together with a ...
C Jefferson +5 more
core +7 more sources
Background: Extreme temperature events (ETEs), including heatwaves and cold spells, are attracting increasing attention because of their impacts on human health.
Pengsen Mou +5 more
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Population ageing and the increase in life expectancy have heightened the demand for long-term care in residential facilities. In Spain, it is projected that by 2054 the functional dependency rate among those aged 65 and over will exceed 53.0%, posing ...
Sara Fernández-Ming +3 more
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