Results 81 to 90 of about 361,212 (290)
We classify the subsets of a group by their sizes, formalize the basic methods of partitions and apply them to partition a group to subsets of prescribed sizes.
Protasov, I., Slobodianiuk, S.
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Single‐cell DNA methylation (scDNAme) profiling maps epimutational clonal evolution, revealing mechanisms of malignancy and therapeutic resistance across diverse cancer types. By providing a high‐resolution landscape of intratumoral heterogeneity, these technologies empower precise patient stratification, guide the development of enhanced ...
Ik Soo Kim
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Searching a multivariate partition space using weighted MAX-SAT [PDF]
Because of the huge number of partitions of even a moderately sized dataset, even when Bayes factors have a closed form, a comprehensive search for the highest scoring (MAP) partition is usually impossible.
Cussens, James +2 more
core
Partitions of numbers and the algebraic principle of Mersenne, Fermat and even perfect numbers [PDF]
Let ρ be an odd prime greater than or equal to 11. In a previous work, starting from an M-cycle in a finite field 𝔽_ρ, it has been established how the divisors of Mersenne, Fermat and Lehmer numbers arise.
A. M. S. Ramasamy
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Optimal Location and Capacity of the Distributed Energy Storage System in a Distribution Network
Given the current situation of large-scale energy storage system (ESS) access in distribution network, a practical distributed ESS location and capacity optimization model is proposed.
Xiaobo Tang +3 more
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Spatial biology in cancer epigenetics
Spatial epigenomics combines molecular profiling with tissue architecture to reveal how gene regulation is organized within intact tissues. In cancer, these technologies uncover the mechanisms driving tumor heterogeneity and microenvironmental interactions, opening new opportunities for biomarker discovery and precision medicine.
Eva Crespo‐García, Manel Esteller
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Extracting Co-Occurrence Relations from ZDDs
A zero-suppressed binary decision diagram (ZDD) is a graph representation suitable for handling sparse set families. Given a ZDD representing a set family, we present an efficient algorithm to discover a hidden structure, called a co-occurrence relation,
Takahisa Toda
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Adjunctions on the lattices of partitions and of partial partitions [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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POWER PARTITIONS AND SEMI--FIBONACCI PARTITIONS
Andrews [‘Binary and semi-Fibonacci partitions’, J. Ramanujan Soc. Math. Math. Sci.7(1) (2019), 1–6] recently proved a new identity between the cardinalities of the set of semi-Fibonacci partitions and the set of partitions into powers of 2 with all parts appearing an odd number of times.
ABDULAZIZ M. ALANAZI +2 more
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ADP‐ribosylation: An emerging regulator of the epigenome
ADP‐ribosylation has emerged as a dynamic epigenetic signaling mechanism that modifies histones and chromatin‐associated proteins. Through coordinated PARylation and MARylation, it integrates with other histone modifications to regulate chromatin structure, transcription factor activity, and gene expression, influencing genome function and disease ...
Cristel V. Camacho +2 more
wiley +1 more source

