The settings for electrospray ionization were as follows: oven temperature of 300°C, sheath gas of 8 arb. units and source voltage of 1.5 kV. The acquired data were internally calibrated with diisooctyl phthalate as a contaminant in methanol (m/z 391.2843).

The proofs rely on geometric structure of the action function ℒ_𝓉(x,y) induced by H, and the identification of the absolute subminimality of u with convexity of the Hamilton-Jacobi flow t↦Tᵗᵘ(x).

Anyone who considers it a pleasure to compose short stories or to fabulate a tale, must remain silent and say nothing of her beauty.

Furthermore, deep in the Thomas-Fermi regime, we investigate the particle-like behavior of vortex rings and hopfions..