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Fail-Closed Validation of Lineage-Associated Transcript-Count Diversity After IFN-β Stimulation in a Public Human PBMC Dataset. [PDF]
Quiroz RN +13 more
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Assessing quantity combination and dissociation in giraffes. [PDF]
Loidi I +4 more
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Concepts and results involving random sets appeared in probabilistic and statistical literature long time ago. The origin of the modern concept of a random set goes as far back as the seminal book by A.N. Kolmogorov [22] (first published in 1933) where he laid out the foundations of probability theory. He wrote [22, p.
Molchanov, Ilya
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Between closed sets andg-closed sets
Rendiconti del Circolo Matematico di Palermo, 2006In generalized topological spaces \((X,\tau)\) (axioms for open sets are weakened), the authors define \(g\)-closed sets as usually: \(\overline{A}\subset \bigcap \{U;U\in\tau, A\subset U\}\). Using convenient systems for \(\tau\) depending on a given topology \(t\) on \(X\), various known generalized closed sets on \((X,t)\) are obtained.
Noiri, Takashi, Popa, Valeriu
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2006
We investigate notions of randomness in the space ${\mathcal {C}}[2^{\mathbb {N}}]$ of nonempty closed subsets of {0,1}ℕ. A probability measure is given and a version of the Martin-Lof Test for randomness is defined. Π02 random closed sets exist but there are no random Π01 closed sets. It is shown that a random closed set is perfect, has measure 0, and
Paul Brodhead 0001 +2 more
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We investigate notions of randomness in the space ${\mathcal {C}}[2^{\mathbb {N}}]$ of nonempty closed subsets of {0,1}ℕ. A probability measure is given and a version of the Martin-Lof Test for randomness is defined. Π02 random closed sets exist but there are no random Π01 closed sets. It is shown that a random closed set is perfect, has measure 0, and
Paul Brodhead 0001 +2 more
openaire +1 more source

