Dehn functionsRight-angled Artin groupsLet \\(\\Gamma \\) be a finite simplicial graph such that the flag complex on \\(\\Gamma \\) is a 2-dimensional triangulated disk. We show that with some assumptions, the Dehn function of the associated Bestvina–Brady group is either quadratic, ...
Learn more about this mathematical subject with the help of the lesson titled Discontinuities in Functions and Graphs. The lesson will discuss the following: Distinguishing discontinuous and continuous functions Exploring point discontinuities and their examples ...
Functions are a specific type of relation in which each input value has one and only one output value. Polynomial functions have all of these characteristics as well as a domain and range, and corresponding graphs. In this section, we will identify and evaluate polynomial functions. Because ...
et al. De novo assembly of the Aedes aegypti genome using Hi-C yields chromosome-length scaffolds. Science 356, 92–95 (2017). Article CAS PubMed PubMed Central Google Scholar Ghurye, J. et al. Integrating Hi-C links with assembly graphs for chromosome-scale assembly. PLoS Comput. Biol...
Identifying such text segments is challenging because they require a fine-grained level of analysis even within a single sentence. At the same time, accessing them facilitates the analysis of the communicative functions of a text as well as the identification of relevant information. We propose an...
Perfect Crystals for Quantum Affine Algebras and Combinatorics of Young Walls 55:44 Regular Permutation Groups and Cayley Graphs 01:00:03 The Broughton Archipeligo Monitoring Program 13:53 The Mathematics of Doodling 01:10:14 A New Approach to the Bar-Cobar Duality 01:01:36 Brains and ...
1 including an embodiment of the invention; [0013] FIG. 3 is a circuit diagram of the pedal signal converter block of FIG. 2; [0014] FIG. 4 is a flow chart of a method of another embodiment of the invention; [0015] FIG. 5 shows graphs of correlation error vs. pedal sensor ...
Shpitser and Pearl (2006b) constructed an algorithm for identifying joint interventional distributions in causal models, which contain unobserved variables and induce directed acyclic graphs. This algorithm can be seen as a repeated application of the rules of do-calculus and known properties of proba...
Examples of such sources include, but are by no means limited to: Boehringer-Mannheim charts, Kyoto Encyclopedia of Genes and Genomes (KEGG), and directed acyclic graphs of the Gene Ontology (GO) classification scheme. The system may also simultaneously make use of a combination of diagrams ...
These graphs can be used as the inputs to Graph Neural Networks,40 which can be trained for both classification and regression tasks.39–41 GNNs have been used to predict some modes of protein–molecule reactions. For example, Xenosite is a machine learning method that can predict if a ...