We propose and evaluate a neural network approach to mine detection using Electromagnetic Induction (EMI) sensors which provides a robust non-parametric approach. In our approach, a neural network with the well-known back-propagation learning algorithm combines the SStatistic with the δ-Technique to discriminate between non-mine patterns and mines. Experimental results show that this approach r...

we define a new type of spectrum, called δ-approximate spectrum, of an element a in a complex unital banach algebra a and show that the δ-approximate spectrum σ_δ (a) of a is compact. the relation between the δ-approximate spectrum and the usual spectrum is investigated. also an analogue of the classical gleason-kahane-zelazko theorem is established: for each ε>0, there is δ>0 such that if ϕ is...

We introduce three new cut tree structures of graphs G in which the vertex set of the tree is a partition of V (G) and contractions of tree vertices satisfy sparsification requirements that preserve various types of cuts. Recently, Kawarabayashi and Thorup [8] presented the first deterministic near-linear edge-connectivity recognition algorithm. A crucial step in this algorithm uses the existen...

The infection consequences of the introduced cestode fish parasite Bothriocephalus acheilognathi were studied in a cohort of wild, young-of-the-year common carp Cyprinus carpio that lacked co-evolution with the parasite. Within the cohort, parasite prevalence was 42% and parasite burdens were up to 12% body weight. Pathological changes within the intestinal tract of parasitized carp included di...

Relativistic and non-relativistic scattering by short-range potentials is investigated for selected problems. Scattering by the δ' potential in the Schrödinger equation and δ potentials in the Dirac equation must be solved by regularization, efficiently carried out by a perturbation technique involving a stretched variable. Asymmetric regularizations yield non-unique scattering coefficients. Re...

We study the stochastic Allen-Cahn equation driven by a noise term with intensity √ ε and correlation length δ in two and three spatial dimensions. We study diagonal limits δ, ε→ 0 and describe fully the large deviation behaviour depending on the relationship between δ and ε. The recently developed theory of regularity structures allows to fully analyse the behaviour of solutions for vanishing ...

The Cannabis sativa herb contains over 100 phytocannabinoid (pCB) compounds and has been used for thousands of years for both recreational and medicinal purposes. In the past two decades, characterisation of the body's endogenous cannabinoid (CB) (endocannabinoid, eCB) system (ECS) has highlighted activation of central CB(1) receptors by the major pCB, Δ(9)-tetrahydrocannabinol (Δ(9)-THC) as th...

Article history: Received 14 November 2016 Accepted 14 November 2016 Available online 12 December 2016 Presented by Haïm Brézis We present new results concerning the approximation of the total variation, ∫ |∇u|, of a function u by non-local, non-convex functionals of the form δ(u)= ∫ ∫ δφ (|u(x)− u(y)|/δ) |x− y|d+1 dxdy, as δ → 0, where is a domain in Rd and φ : [0, +∞) → [0, +∞) is a non-decre...

For δ ≥ 1 and n ≥ 1, we examine the simplicial complex of graphs on n vertices in which each vertex has degree at most δ; we identify a given graph with its edge set and admit one loop at each vertex. δ = 1 yields the matching complex, and it is known that there is 3-torsion in degree d of the homology of this complex whenever n−4 3 ≤ d ≤ n−6 2 . We establish similar bounds for δ ≥ 2. Specifica...

Let Mg be the moduli space of smooth, genus g curves over an algebraically closed field K of zero characteristic. Denote by Mg(G) the subset of Mg of curves δ such that G (as a finite non-trivial group) is isomorphic to a subgroup of Aut(δ) and let M̃g(G) be the subset of curves δ such that G ∼= Aut(δ) where Aut(δ) is the full automorphism group of δ. Now, for an integer d ≥ 4, let MPl g be the ...