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Did you mean combinatorial probability (964 results)?
Globe-hopping.
Chistikov D, Goulko O, Kent A, Paterson M. Chistikov D, et al. Proc Math Phys Eng Sci. 2020 Jun;476(2238):20200038. doi: 10.1098/rspa.2020.0038. Epub 2020 Jun 24. Proc Math Phys Eng Sci. 2020. PMID: 32831590 Free PMC article.
For these jump lengths, we show the optimal probability is 1 - 1/q and construct optimal lawns. For a pair of antipodal lawns, we show that the optimal probability of jumping from one onto the other is 1 - 1/q for p, q coprime, p odd and q even, and one in all other …
For these jump lengths, we show the optimal probability is 1 - 1/q and construct optimal lawns. For a pair of antipodal lawns, we sho …
Combinatorics and probability: six- to ten-year-olds reliably predict whether a relation will occur.
Gonzalez M, Girotto V. Gonzalez M, et al. Cognition. 2011 Sep;120(3):372-9. doi: 10.1016/j.cognition.2010.10.006. Epub 2010 Nov 4. Cognition. 2011. PMID: 21055735
Three studies show that from the age of six children are able to predict the occurrence of a relation on the basis of its probability, and that from the age of nine their performance reaches adult levels. ...
Three studies show that from the age of six children are able to predict the occurrence of a relation on the basis of its probability …
Combinatorics and Statistical Mechanics of Integer Partitions.
Matsoukas T. Matsoukas T. Entropy (Basel). 2023 Feb 20;25(2):385. doi: 10.3390/e25020385. Entropy (Basel). 2023. PMID: 36832751 Free PMC article.
We study the set of integer partitions as a probability space that generates distributions and, in the asymptotic limit, obeys thermodynamics. ...We define a functional of the distribution (selection functional) that establishes a probability measure on the distribu …
We study the set of integer partitions as a probability space that generates distributions and, in the asymptotic limit, obeys thermo …
Michael Waterman's Contributions to Computational Biology and Bioinformatics.
Pevzner P, Vingron M, Reidys C, Sun F, Istrail S. Pevzner P, et al. J Comput Biol. 2022 Jul;29(7):601-615. doi: 10.1089/cmb.2022.29066.pp. Epub 2022 Jun 21. J Comput Biol. 2022. PMID: 35727100 Review.
Michael Waterman's 80th birthday, we review his major contributions to the field of computational biology and bioinformatics including the famous Smith-Waterman algorithm for sequence alignment, the probability and statistics theory related to sequence alignment, algorithm …
Michael Waterman's 80th birthday, we review his major contributions to the field of computational biology and bioinformatics including the f …
The combinatorics of tandem duplication trees.
Gascuel O, Hendy MD, Jean-Marie A, McLachlan R. Gascuel O, et al. Syst Biol. 2003 Feb;52(1):110-8. doi: 10.1080/10635150390132821. Syst Biol. 2003. PMID: 12554444
We also developed an asymptotic formula that for large n provides estimates for these numbers. These numbers give a priori probabilities for phylogenies of the repeated sequences to be duplication trees. ...
We also developed an asymptotic formula that for large n provides estimates for these numbers. These numbers give a priori probabilities …
On the TRAIL of Better Therapies: Understanding TNFRSF Structure-Function.
Vanamee ÉS, Faustman DL. Vanamee ÉS, et al. Cells. 2020 Mar 20;9(3):764. doi: 10.3390/cells9030764. Cells. 2020. PMID: 32245106 Free PMC article. Review.
We review the latest literature on TNF receptor superfamily signaling with a focus on structure-function. Using combinatorics, we argue that receptors that cluster on the cell surface and are activated by membrane-bound ligands need to arrange in a highly ordered manner, a …
We review the latest literature on TNF receptor superfamily signaling with a focus on structure-function. Using combinatorics, we arg …
MOCCA: a flexible suite for modelling DNA sequence motif occurrence combinatorics.
Bredesen BA, Rehmsmeier M. Bredesen BA, et al. BMC Bioinformatics. 2021 May 7;22(1):234. doi: 10.1186/s12859-021-04143-2. BMC Bioinformatics. 2021. PMID: 33962556 Free PMC article.
RESULTS: We here present an expanded suite for modelling CRE sequences in terms of motif occurrence combinatorics-Motif Occurrence Combinatorics Classification Algorithms (MOCCA). ...
RESULTS: We here present an expanded suite for modelling CRE sequences in terms of motif occurrence combinatorics-Motif Occurrence …
Harnessing the Bethe free energy.
Bapst V, Coja-Oghlan A. Bapst V, et al. Random Struct Algorithms. 2016 Dec;49(4):694-741. doi: 10.1002/rsa.20692. Epub 2016 Oct 21. Random Struct Algorithms. 2016. PMID: 28035178 Free PMC article.
A wide class of problems in combinatorics, computer science and physics can be described along the following lines. ...Guided by this conjecture, we prove general sufficient conditions for the success of the cavity method. The proofs are based on a "regularity lemma" for …
A wide class of problems in combinatorics, computer science and physics can be described along the following lines. ...Guided by this …
Reduced Density Matrix Cumulants: The Combinatorics of Size-Consistency and Generalized Normal Ordering.
Misiewicz JP, Turney JM, Schaefer HF 3rd. Misiewicz JP, et al. J Chem Theory Comput. 2020 Oct 13;16(10):6150-6164. doi: 10.1021/acs.jctc.0c00422. Epub 2020 Sep 15. J Chem Theory Comput. 2020. PMID: 32866012
This is shown to be a general mechanism to convert between a multiplicatively separable quantity and an additively separable quantity, as defined by a set of axioms. It is shown that both the cumulants of probability theory and the reduced density matrices are entirely com …
This is shown to be a general mechanism to convert between a multiplicatively separable quantity and an additively separable quantity, as de …
65 results