This article predicts that marine-derived bacteria should inhibit Vibrio pathogens and may be a source of unique antibiotic compounds.

This article proves the existence of radial solutions of Δu + K(r)ƒ(u) = 0 on the exterior of the ball, of radius R, centered at the origin in ℝᴺ such that limᵣ→∞u(r) = 0 if R > 0 is sufficiently small.

This article highlights a connection between Diophantine approximation and the lower Assouad dimension by using information about the latter to show that the Hausdorff dimension of the set of badly approximable points that lie in certain non-conformal fractals, known as self-affine sponges, is bounded below by the dynamical dimension of these fractals. The results, which are the first to advance beyond the conformal setting, encompass both the case of Sierpiński sponges/carpets (also known as Bedford–McMullen sponges/carpets) and the case of Barański carpets.

This article studies radial solutions of Δu + K(r)ƒ(u) = 0 on the exterior of the ball of radius R > 0, BR, centered at the origin in ℝN with u = 0 on @BR where ƒ is odd with ƒ < 0 on (0; β), ƒ > 0 on (β;∞), f(u) ~ uᵖ with 0 < p < 1 for large u and K(r) ~ r⁻ᵅ for large r.

This article proves the existence of an infinite number of radial solutions of Δu+K(r)ƒ(u) = 0, one with exactly n zeros for each nonnegative integer n on the exterior of the ball of radius R > 0, Bʀ, centered at the origin in ℝᴺ with u = 0 on ∂Bʀ and limᵣ→∞u(r) = 0 where N > 2, f is odd with ƒ < 0 on (0; β), ƒ > 0 on (β;∞), ƒ(u) ~ uᵖ with 0 < p < 1 for large u and K(r) ~ r-α with 0 < α < 2 for large r.

Article on the analogy between the description of the real square roots of 3x3 matrices and the zeros of the (depressed) real quartic polynomial, using the Cayley-Hamilton theorem.

This article explores the use of an information-entropy-based gene clustering method for genomic island detection in MRSA.