Steiner Triple Systems With High Discrepancy
ABSTRACT In this paper, we initiate the study of discrepancy questions for combinatorial designs. Specifically, we show that, for every fixed r ≥ 3 and n ≡ 1 , 3 ( mod 6 ), any r‐colouring of the triples on [ n ] admits a Steiner triple system of order n with discrepancy Ω ( n 2 ).
Lior Gishboliner +2 more
wiley +1 more source
Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]
Papillon M +10 more
europepmc +1 more source
New Difference Triangle Sets by a Field‐Programmable Gate Array‐Based Search Technique
ABSTRACT We provide some difference triangle sets with scopes that improve upon the best known values. These are found with purpose‐built digital circuits realized with field‐programmable gate arrays (FPGAs) rather than software algorithms running on general‐purpose processors.
Mohannad Shehadeh +2 more
wiley +1 more source
M. Karoubi and C. Leruste, Algebraic topology via differential geometry (London Mathematical Society Lecture Note Series 99, Cambridge University Press1987) 363 pp. 0 521 31714 2, £15.(Originally published in French as Méthodes de géométrie différentielle en topologie algébrique, Paris 1982.) [PDF]
J. W. Bruce
openalex +1 more source
Lie symmetry approach to the dynamical behavior and conservation laws of actin filament electrical models. [PDF]
Beenish, Samreen M, Alshammari FS.
europepmc +1 more source
ABSTRACT A new model for the simulation of fluid flow through rough cracks is presented. The model combines a probabilistic cut finite element method (PCutFEM) to capture the unfitted boundary condition at the fluid interface, with a stochastic random field generator to represent the crack asperities.
Brubeck Lee Freeman +5 more
wiley +1 more source
Parametrized systems of generalized polynomial inequalities via linear algebra and convex geometry. [PDF]
Müller S, Regensburger G.
europepmc +1 more source
Numerical Instability in Slope Stability Analysis: A Finite Difference Approach
ABSTRACT In geotechnical engineering, slice methods are the most widely used computational techniques for analyzing slope stability. Notably, the Morgenstern‐Price and Janbu approaches rigorously enforce the equilibrium of forces and moments within these slice methods.
Jean‐Pierre Bardet
wiley +1 more source
Wave modelling of 3 + 1 dimensional Wazwaz Kaur Boussinesq equation with the bilinear neural network method. [PDF]
Shahen NHM +4 more
europepmc +1 more source

