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Study on the risk identification of abnormal gas outbursts based on the mechanism of biological immunity. [PDF]
Zhang J, Shi S, Zhang L.
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Deep learning for text summarization using NLP for automated news digest. [PDF]
Rani Krishna KM +4 more
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High-Volume Acquisition Rate Nonlinear Imaging Enables Robust 3-D Ultrasound Localization Microscopy. [PDF]
Shin Y +4 more
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Living well guide: a nurse-led development and validation of a printed resource for cardiometabolic care. [PDF]
Macêdo TS +7 more
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Pediatric inflammatory bowel disease in mother‒child pairs: clinical risk factors and gut microbiota characteristics. [PDF]
Zhang C +9 more
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Descending sequences of degrees
Journal of Symbolic Logic, 1975Our unexplained notation is that of Rogers [4]. Let P ⊆ 2N × 2N. We call a sequence <An: n ∈ N> of subsets of N a P-sequence iff ∀n(An+1 = the unique B such that P(An, B)).Theorem. Let P ⊆ 2N × 2N be arithmetical. Then there is no P-sequence <An: n ∈ N> such that ∀n(A′n+1 ≤T An).This theorem improves a result of Friedman [2] who showed that
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