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We consider a natural model of random knotting- choose a knot diagram at random from the finite set of diagrams with n crossings. We tabulate diagrams with 10 and fewer crossings and classify the diagrams by knot type, allowing us to…

Geometric Topology · Mathematics 2016-10-12 Jason Cantarella , Harrison Chapman , Matt Mastin

A discussion is presented of the manner in which uncertainties in parton distributions and related quantities are determined. One of the central problems is the criteria used to judge what variation of the parameters describing a set of…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. S. Thorne , H. Boettcher , A. M. Cooper-Sarkar , B. Reisert , V. Shekelyan , W. J. Stirling , D. R. Stump , A. Vogt

Despite tremendous advances in the field of genomics, the amount and function of the large non-coding part of the genome in higher organisms remains poorly understood. Here we report an observation, made for 37 fully sequenced eukaryotic…

Genomics · Quantitative Biology 2008-02-05 Sebastian Ahnert , Thomas Fink , Andrei Zinovyev

Large-scale dynamical properties of complete chromosome DNA sequences of eukaryotes are considered. By the proposed deterministic models with intermittency and symbolic dynamics we describe a wide spectrum of large-scale patterns inherent…

Genomics · Quantitative Biology 2015-05-27 Sergei Rybalko , Sergei Larionov , Maria Poptsova , Alexander Loskutov

We show that the off-diagonal (or skewed) parton distributions are completely determined at small $x$ and $\xi$ by the (conventional) diagonal partons. We present predictions which can be used to estimate the off-diagonal distributions at…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. G. Shuvaev , K. J. Golec-Biernat , A. D. Martin , M. G. Ryskin

We have used the Monte Carlo based computer models to show that selection pressure could affect the distribution of recombination hotspots along the chromosome. Close to critical crossover rate, where genomes may switch between the…

Genomics · Quantitative Biology 2015-05-13 Jakub Kowalski , Wojciech Waga , Marta Zawierta , Stanislaw Cebrat

Adaptation of bacteria occurs predominantly via horizontal gene transfer (HGT). While it is widely recognized that horizontal acquisitions frequently encompass multiple genes, it is unclear what the size distribution of successfully…

Genomics · Quantitative Biology 2016-11-16 Tin Y Pang , Martin Lercher

Sequencing by synthesis is used in many next-generation DNA sequencing technologies. Some of the technologies, especially those exploring the principle of single-molecule sequencing, allow incomplete nucleotide incorporation in each cycle.…

Genomics · Quantitative Biology 2024-05-28 Yong Kong

We briefly recall the main physical features of the parton distributions in the quantum statistical picture of the nucleon. Some predictions from a next-to-leading order QCD analysis are successfully compared to recent unpolarized and…

High Energy Physics - Phenomenology · Physics 2011-12-02 Jacques Soffer

For a pair consisting of a gene tree and a species tree, the ancestral configurations at an internal node of the species tree are the distinct sets of gene lineages that can be present at that node. Ancestral configurations appear in…

Combinatorics · Mathematics 2020-06-17 Filippo Disanto , Michael Fuchs , Ariel R. Paningbatan , Noah A. Rosenberg

The dependence of the frequency distributions due to multiple meanings of words in a text is investigated by deleting letters. By coding the words with fewer letters the number of meanings per coded word increases. This increase is measured…

Computation and Language · Computer Science 2017-10-04 Xiaoyong Yan , Petter Minnhagen

Helicity-dependent generalized parton distributions of the nucleon are derived from the overlap representation of generalized parton distributions using light-cone wave functions obtained in constituent quark models. Results from two…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Boffi , B. Pasquini , M. Traini

Living organisms are the most complex, interesting and significant objects regarding all substructures of the universe. Life science is regarded as a science of the 21st century and one can expect great new discoveries in the near futures.…

Other Quantitative Biology · Quantitative Biology 2009-11-23 Branko Dragovich

Typically, when we are given the section (or projection) function of a convex body, it means that in each direction we know the size of the central section (or projection) perpendicular to this direction. Suppose now that we can only get…

Metric Geometry · Mathematics 2017-05-04 Jaegil Kim , Vladyslav Yaskin , Artem Zvavitch

Benford's law describes a common phenomenon among many naturally occurring data sets and distributions in which the leading digits of the data are distributed with the probability of a first digit of $d$ base $B$ being…

Probability · Mathematics 2019-10-30 Rebecca F. Durst , Steven J. Miller

We recall the physical features of the parton distributions in the quantum statistical approach of the nucleon. Some predictions from a next-to-leading order QCD analysis are compared to recent experimental results. We also consider their…

High Energy Physics - Phenomenology · Physics 2011-07-26 Jacques Soffer

Generalized parton distributions are a new type of hadronic observables which has recently stimulated great interest among theorists and experimentalists alike. Introduced to delineate the spin structure of the nucleon, the orbital angular…

High Energy Physics - Lattice · Physics 2009-11-07 Xiangdong Ji

In array-based DNA synthesis, multiple strands of DNA are synthesized in parallel to reduce the time cost from the sum of their lengths to the length their shortest common supersequences. To maximize the amount of information that can be…

Information Theory · Computer Science 2024-05-29 Hsin-Po Wang , Chi-Wei Chin

The origin and organizing principles of the genetic code remain fundamental puzzles in life science. The vanishingly low probability of the natural codon-to-amino acid mapping arising by chance has spurred the hypothesis that its structure…

Other Quantitative Biology · Quantitative Biology 2025-10-14 Yudam Seo , Tsvi Tlusty , Junghyo Jo

The article presents the theoretical foundations of the algorithm for calculating the number of different genomes in the medium under study and of two algorithms for determining the presence of a particular (known) genome in this medium.…

Genomics · Quantitative Biology 2015-06-23 Valery Kirzhner , Zeev Volkovich