The objective of this research was to analyse the tensile response three geosynthetics, apply constitutive equations, and propose values for model parameters represent nonlinear behaviour these materials in short-term, supported by statistical analysis. Data specimens a nonwoven geotextile, woven geogrid reinforcement geocomposite previously submitted mechanical damage, abrasion damage followed...

In this paper, a RBF network with Gaussians is adapted through a combination of switching and integral laws. The idea is to take the best features of each method. The hyperbolic tangent is used instead of signal function what reduces the chattering phenomenon. A hyperbolic secant is used to intercalate the methodologies, yielding a dual mode that results on zero error in steady state and a smoo...

We investigate certain alternating matrices of linear forms whose Pfaffians generate the homogeneous ideal of an elliptic normal curve, or one of its higher secant varieties.

Secant varieties to Veronese embeddings of projective space are classical varieties whose equations are not completely understood. Minors of catalecticant matrices furnish some of their equations, and in some situations even generate their ideals. Geramita conjectured that this is the case for the secant line variety of the Veronese variety, namely that its ideal is generated by the 3×3 minors ...

We classify, under reasonable assumptions, all differentiable functions f for which the ‘secant method’ [xf(y) − yf(x)]/[f(y) − f(x)] is continuous and associative. Further, we classify all differentiable functions for which the similar type of addition xf(y) + yf(x) is associative.

Let U be the classical unital in PG(2, q2) secant to `∞. By deriving PG(2, q) with respect to a derivation set disjoint from U we obtain a new unital U ′ in the Hall plane of order q2. We show that this unital contains O’Nan configurations and is not isomorphic to the known unitals of the Hall plane, hence it forms a new class of unitals in the Hall plane.

Let Xm,n be the Segre-Veronese variety Pm×Pn embedded by the morphism given by O(1, 2) and let σs(Xm,n) denote the sth secant variety to Xm,n. In this paper, we prove that if m = n or m = n+1, then σs(Xm,n) has the expected dimension except for σ6(X4,3). As an immediate consequence, we will give function s1(m,n) ≤ s2(m,n) such that if s ≤ s1(m,n) or if s ≥ s2(m,n), then σs(Xm,n) has the expecte...

In this paper we prove that in PG(3, q) a q 4+q2 2 −set of lines, having exactly q8−q7−q4+q3 8 pairs of skew lines, of type (m,m+ q 2+q 2 ) with respect to stars of lines and of type (m′,m′ + q 2+q 2 ) with respect to ruled planes, is the set of lines either external to or secant to an ovoid.