Classification and Clustering of arXiv Documents, Sections, and Abstracts, Comparing Encodings of Natural and Mathematical Language [PDF]
In this paper, we show how selecting and combining encodings of natural and mathematical language affect classification and clustering of documents with mathematical content.
Philipp Scharpf +5 more
semanticscholar +1 more source
Discretisation Schemes for Level Sets of Planar Gaussian Fields [PDF]
Smooth random Gaussian functions play an important role in mathematical physics, a main example being the random plane wave model conjectured by Berry to give a universal description of high-energy eigenfunctions of the Laplacian on generic compact ...
D. Beliaev, S. Muirhead
semanticscholar +2 more sources
Poisson–Hopf deformations of Lie–Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra [PDF]
The formalism for Poisson–Hopf (PH) deformations of Lie–Hamilton (LH) systems, recently proposed in Ballesteros Á et al (2018 J. Phys. A: Math. Theor. 51 065202), is refined in one of its crucial points concerning applications, namely the obtention of ...
Á. Ballesteros +4 more
semanticscholar +1 more source
Characterizing covariational reasoning in physics modeling
Covariational reasoning—considering how changes in one quantity affect another, related quantity—is a foundation of quantitative modeling in physics. Understanding quantitative models is a learning objective of introductory physics instruction at the ...
Alexis Olsho +5 more
semanticscholar +1 more source
Using Math in Physics: 6. Reading the physics in a graph [PDF]
Learning to use math in physics involves combining (blending) our everyday experiences and the conceptual ideas of physics with symbolic mathematical representations. Graphs are one of the best ways to learn to build the blend.
E. Redish
semanticscholar +1 more source
On Quasi-Energy-Spectra, Pair Correlations of Sequences and Additive Combinatorics [PDF]
The investigation of the pair correlation statistics of sequences was initially motivated by questions concerning quasi-energy-spectra of quantum systems.
I. Aichinger, C. Aistleitner, G. Larcher
semanticscholar +1 more source
Approximate Unitary t-Designs by Short Random Quantum Circuits Using Nearest-Neighbor and Long-Range Gates [PDF]
We prove that $${{\,\textrm{poly}\,}}(t) \cdot n^{1/D}$$ poly ( t ) · n 1 / D -depth local random quantum circuits with two qudit nearest-neighbor gates on a D -dimensional lattice with n qudits are approximate t -designs in various measures.
A. Harrow, S. Mehraban
semanticscholar +1 more source
N-extension of double-graded supersymmetric and superconformal quantum mechanics [PDF]
In the recent paper (Bruce and Duplij 2019 (arXiv:1904.06975 [math-ph])), Bruce and Duplij introduced a double-graded version of supersymmetric quantum mechanics (SQM). It is an extension of Lie superalgebraic nature of SQM to a -graded superalgebra.
N. Aizawa, K. Amakawa, S. Doi
semanticscholar +1 more source
Ethnoscience of Physics-Math: Calculation of Energy and Wages of Hoeing Farmers in Indonesia
The purpose of this study is to describe the analysis of farmers' economic concepts, especially the wage system of land hoe labourers. The low wage value of land hoe labourers is a deep concern considering the amount of energy expended by farmers in ...
Sabaruddin Chaniago
semanticscholar +1 more source
Partial Differential Equations, Spectral Theory, and Mathematical Physics [PDF]
We investigate spectral and asymptotic properties of the particular Schrodinger operator (also known as the Bloch-Torrey operator), $-\Delta + i g x$, in infinite periodically perforated domains of $\mathbb R^d$.
D. Grebenkov, Nicolas Moutal, B. Helffer
semanticscholar +1 more source

