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This paper gives a short and direct proof that the standard Hamiltonian used to describe non-relativistic charged particles coupled to the q
This paper studies why deep neural networks sometimes suffer from exploding or vanishing gradients and how residual connections (the skip li
This paper reports numerical evidence that the standard matter-dominated cosmological model known as the Einstein–de Sitter (EdS) spacetime
This paper studies a surprising breakdown of monotonicity in the Ising energy field and gives a precise fix. The Ising energy field is the s
This paper presents a new form of the Yang–Baxter equation (YBE) for R-matrices that depend on three spectral parameters. An R-matrix is the
A long‑standing conjecture from 1970 by Nash‑Williams asked when the edges of a dense graph can be partitioned into edge‑disjoint triangles.
This paper shows that waves described by ordinary linear equations can, in some engineered materials, have a discrete set of allowed frequen
This paper studies a class of game models in which many identical players act over a fixed time and each faces a hidden variable that affect
This paper finds new wave patterns in a well‑known discrete model of nonlinear waves called the Ablowitz–Ladik (AL) system. The authors stud
This paper studies what happens when a solid material contains many tiny fluid inclusions that are effectively incompressible. The authors c