Where Mathematical Symbols Come From
Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley +1 more source
Enhancement of groundwater resources quality prediction by machine learning models on the basis of an improved DRASTIC method. [PDF]
Bakhtiarizadeh A+2 more
europepmc +1 more source
The birational geometry of GIT quotients
Abstract Geometric invariant theory (GIT) produces quotients of algebraic varieties by reductive groups. If the variety is projective, this quotient depends on a choice of polarisation; by work of Dolgachev–Hu and Thaddeus, it is known that two quotients of the same variety using different polarisations are related by birational transformations.
Ruadhaí Dervan, Rémi Reboulet
wiley +1 more source
Accurate and Efficient Numerical Simulation of Land Models Using SUMMA With SUNDIALS. [PDF]
Spiteri RJ+7 more
europepmc +1 more source
On Bergman–Toeplitz operators in periodic planar domains
Abstract We study spectra of Toeplitz operators Ta$T_a$ with periodic symbols in Bergman spaces A2(Π)$A^2(\Pi)$ on unbounded singly periodic planar domains Π$\Pi$, which are defined as the union of infinitely many copies of the translated, bounded periodic cell ϖ$\varpi$.
Jari Taskinen
wiley +1 more source
Computation of soliton structure and analysis of chaotic behaviour in quantum deformed Sinh-Gordon model. [PDF]
Jhangeer A+4 more
europepmc +1 more source
Putatively Optimal Projective Spherical Designs With Little Apparent Symmetry
ABSTRACT We give some new explicit examples of putatively optimal projective spherical designs, that is, ones for which there is numerical evidence that they are of minimal size. These form continuous families, and so have little apparent symmetry in general, which requires the introduction of new techniques for their construction.
Alex Elzenaar, Shayne Waldron
wiley +1 more source
Generalization to d-dimensions of a fermionic path integral for exact enumeration of polygons on hypercubic lattices. [PDF]
Ostilli M+3 more
europepmc +1 more source
Spatial modeling of crime dynamics: Patch and reaction–diffusion compartmental systems
We study the dynamics of abstract models for crime evolution. The population is divided into three compartments, taking into account the participation in crime and incarceration. Individuals transit between the three segments, assuming that having more contact with criminally active people increases one's risk of learning and acquiring the same traits;
Julia Calatayud+2 more
wiley +1 more source
Rotor angle stability of a microgrid generator through polynomial approximation based on RFID data collection and deep learning. [PDF]
Khan W+5 more
europepmc +1 more source