In this paper, we consider the strong instability of standing waves for the Hartree equation with a constant magnetic field.

Defines the canonical TS invariants that MUST hold across all deployments — dual-pipeline (current) or unified (conditional future). Other 20-series modules SHALL satisfy and SHALL NOT weaken these ...

This is a Lean formalization project, part of the Math AI Lab at the University of Washington, aiming to formalize different aspects of Geometric Invariant Theory (GIT). The study of taking quotients ...

I am @Ohayougozaimasu, an HSP and anti-Todai-ism advocate. When studying mathematics, you encounter the question "Are these the same or different?" time and time again. The shapes are different, the ...

For the past several years, America has been using its young people as lab rats in a sweeping, if not exactly thought-out, education experiment. Schools across the country have been lowering standards ...

ABSTRACT: In the work presented here, we investigate wave physics in compressible polymeric solids. The nonlinear system of partial differential equations is derived using classical continuum ...

In a landmark achievement that has captivated mathematicians worldwide, a team of Chinese researchers has finally resolved the decades-old Kervaire invariant problem, reshaping our understanding of ...

Chinese mathematicians have resolved the loose end of a “doomsday hypothesis” that had long puzzled the mathematical community. The feat was made possible through major computational methods which ...

Algebraic complexity addresses the fundamental question of how efficiently one can compute polynomials and related algebraic objects. It employs models such as arithmetic circuits, branching ...