L1TV Computes the Flat Norm for Boundaries by Simon P. Morgan, Kevin R. Vixie

“…We show that the recently introduced L1TV functional can be used to explicitly compute the flat norm for codimension one boundaries. …”
Get full text

On a class of polynomials associated with the Cliques in a graph and its applications by E. J. Farrell

“…The clique polynomial of a graph is defined. An explicit formula is then derived for the clique polynomial of the complete graph. …”
Get full text

Deterministic Bethe state preparation by David Raveh, Rafael I. Nepomechie

“…We present an explicit quantum circuit that prepares an arbitrary $U(1)$-eigenstate on a quantum computer, including the exact eigenstates of the spin-$1/2 XXZ$ quantum spin chain with either open or closed boundary conditions. …”
Get full text

Constrained reduced-order modeling using bounded Gaussian processes for physically consistent reacting flow predictions by Muhammad Azam Hafeez, Alberto Procacci, Axel Coussement, Alessandro Parente

“…These surrogate models are built in a data-driven manner by combining computational fluid dynamics simulations with Proper Orthogonal Decomposition (POD) for dimensionality reduction and Gaussian Process Regression (GPR) for nonlinear regression. …”
Get full text

About one problem of optimal control synthesis by Muhametberdy Rakhimov

“…Despite the significant theoretical and practical implications, there is limited research exploring the application of spectral decomposition of non-self-adjoint differential operators to explicitly solve this nonlinear Riccati equation. …”
Get full text

The Laplacian Spectrum, Kirchhoff Index, and the Number of Spanning Trees of the Linear Heptagonal Networks by Jia-Bao Liu, Jing Chen, Jing Zhao, Shaohui Wang

“…On the basis of the roots and coefficients of their characteristic polynomials of LA and LS, we get not only the explicit forms of Kirchhoff index but also the corresponding total number of spanning trees of Hn.…”
Get full text

Classification of Multiply Travelling Wave Solutions for Coupled Burgers, Combined KdV-Modified KdV, and Schrödinger-KdV Equations by A. R. Seadawy, K. El-Rashidy

“…Some explicit travelling wave solutions to constructing exact solutions of nonlinear partial differential equations of mathematical physics are presented. …”
Get full text

Necessary conditions for the positivity of Littlewood–Richardson and plethystic coefficients by Gutiérrez, Álvaro, Rosas, Mercedes H.

“…We deduce necessary conditions for the positivity of the plethystic coefficients. Explicitly, our main result states that if $S^\lambda (V)$ appears as a summand in the decomposition into irreducibles of $S^\mu (S^\nu (V))$, then $\nu $’s diagram is contained in $\lambda $’s diagram.…”
Get full text

Minimally extended current algebras of toroidal conformal field theories by Hans Jockers, Maik Sarve, Ida G. Zadeh

“…Instead of considering these characters, we decompose the partition functions into products of characters of minimal extensions of u ̂ 1 $$ \hat{\mathfrak{u}}(1) $$ current algebras, which already appear for rational conformal field theories with target space S 1. We present an explicit construction that determines such decompositions. …”
Get full text

Analytic reconstruction with massive particles: one-loop amplitudes for 0 → q ¯ qt t ¯ H $$ 0\to \overline{q} qt\overline{t}H $$ by John M. Campbell, Giuseppe De Laurentis, R. Keith Ellis

“…Our calculation is a novel use of analytic reconstruction, retaining explicit covariance in the massive spin states through the massive spinor-helicity formalism. …”
Get full text

Dark photons and high spin particles: complete EFT operator basis by Ziyu Dong, Teng Ma, Chengjie Yang, Zizheng Zhou

“…As applications, the EFT bases up to d = 8 are explicitly constructed for dark photons and, for the first time, for spin-3/2 particles.…”
Get full text

Leading q T /Q correction for Drell-Yan process in TMD factorization by Arturo Arroyo-Castro, Ignazio Scimemi, Alexey Vladimirov

“…These corrections partially originate from higher-twist TMD distributions, which exhibit singularity at small transverse distances. We propose a decomposition that reveals this singularity explicitly, and makes the q T /Q correction manifest. …”
Get full text

Normal Coordinates in Affine Geometry by M.O. Katanaev

“…Components of an arbitrary real analytic tensor field in the neighborhood of each point can be expressed as power series with coefficients constructed from the covariant derivatives, curvature and torsion tensors computed at the decomposition point. The power series have been explicitly summed for constant curvature spaces, and an expression for the metric in normal coordinates has been found. …”
Get full text

Constraints on the hadronic light-by-light tensor in corner kinematics for the muon g − 2 by J. Bijnens, N. Hermansson-Truedsson, A. Rodríguez-Sánchez

“…We include gluonic corrections for the different scalar functions appearing in the Lorentz decomposition of the underlying tensor, and explicitly check analytic agreement with alternative operator product expansions in overlapping regimes of validity. …”
Get full text

Tutors' perceptions of ICTs in promoting computational thinking among pre-service teachers in Tanzanian colleges by Vicky Mrosso, Placidius Ndibalema, Abdon Ephrem

“…The study recommends that policymakers explicitly include CT and its aspects in the teacher education curriculum and conduct pilot testing of professional development training to foster CT skills using ICT among tutors. …”
Get full text

Overcoming System Complexity using Models and Knowledge Structures. Editorial Introduction to Issue 36 of CSIMQ by Erika Nazaruka, Tarmo Robal

“…Models allow us to simplify reality and give advantages to both decomposition and abstraction. Models can have various forms from textual, tabular, mathematical, and graphical to a combination of these formats. …”
Get full text

NUFEB: A massively parallel simulator for individual-based modelling of microbial communities. by Bowen Li, Denis Taniguchi, Jayathilake Pahala Gedara, Valentina Gogulancea, Rebeca Gonzalez-Cabaleiro, Jinju Chen, Andrew Stephen McGough, Irina Dana Ofiteru, Thomas P Curtis, Paolo Zuliani

“…A wide range of biological, physical and chemical processes are implemented to explicitly model microbial systems, with particular emphasis on biofilms. …”
Get full text

GNN-FTuckER: A novel link prediction model for identifying suitable populations for tea varieties. by Jun Li, Bing Yang, Jiaxin Liu, Xu Wang, Zhongyuan Wu, Qiang Huang, Peng He

“…The SE-GNN encoder enhances the modeling capability of the global graph structure by explicitly modeling relations, entities, and triples, thereby obtaining embedding vectors through aggregation, updating, and iterative operations. …”
Get full text

A Box-Bounded Non-Linear Least Square Minimization Algorithm with Application to the JWL Parameter Determination in the Isentropic Expansion for Highly Energetic Material Simulatio... by Yuri Caridi, Andrea Cucuzzella, Fabio Vicini, Stefano Berrone

“…We provide a fully detailed numerical framework that explicitly enforces Chapman–Jouguet (CJ) constraints and systematically separates the contributions of different terms in the JWL expression. …”
Get full text

Role of electrode materials in resistive switching mechanisms of oxide-based memristors for enhanced neuromorphic computing: A comprehensive study by Armin Gooran-Shoorakchaly, Sarah Sharif, Yaser M. Banad

“…This study extends the state-of-the-art TaOx-based memristors by explicitly coupling electrode-dependent thermal conductivity to the electrical-thermal solver and by treating drift, diffusion, and Soret flux on equal footing. …”
Get full text