College MathematicsDiagramsHigher EducationInstructionMathematical ConceptsMathematics EducationVisual LearningThe author argues for a more enthusiastic use of mapping diagrams by demonstrating how effective they are in teaching some concepts in calculus. (MN)...
2.2 DIKWP Semantic Mathematics DIKWP semantic mathematics provides a formal framework for modeling the transformations and interactions between the DIKWP components. It utilizes mathematical structures such as functions, mappings, and graphs to represent the relationships and processes within the model. Tra...
Book series 2004, North-Holland Mathematics StudiesIgor V. Orlov Chapter Sets, Functions and Metric Spaces Proposition 14.5 1. If for metric spaces X,Y,Z the following mappings are defined: f:ℰ⊂X→Y,g:f(ℰ)→Z and h(x):=g(f(x)),x∈ℰ then h is continuous at a point p...
Lobachevskii Journal of Mathematics Aims and scope Submit manuscript I. A. Kolesnikov 78 Accesses Explore all metrics Abstract We investigate the conformal mapping of a rectangle onto a polygon. Using theta elliptic functions, we represent such a mapping via an integral of the Schwarz–...
In this example, because G maps two output points to each input point, there is no unique forward transformation. But we can proceed if we are careful and work with two different forward functions. Letting w = (z + 1/z)/2 and solving the quadratic equation that results,...
As for an important kind of nonautonomous system, viz., dynamical oscillators with time-evolving coupled functions or/and with various types of noise, the dynamical Bayesian inference with a delicate set of function bases can provide pretty practical solutions14. As for the future research topics,...
In particular, we introduce a new family of convex distortion measures, and prove that, on meshes, most of the existing distortion energies are non-convex functions of vertex coordinates.This is a preview of subscription content, log in via an institution to check access. ...
Fine-mapping prioritizes risk variants identified by genome-wide association studies (GWASs), serving as a critical step to uncover biological mechanisms underlying complex traits. However, several major challenges still remain for existing fine-mapping
by which we offer an effective and easy operative method for constructing the basis functions of the biquadratic spline space. The mapping we construct is an isomorphism. The basis functions of the biquadratic spline space hold the properties such as linear independence, completeness and the property...
Chromatin structure and accessibility, and combinatorial binding of transcription factors to regulatory elements in genomic DNA control transcription. Genetic variations in genes encoding histones, epigenetics-related enzymes or modifiers affect chromati