Recently, binary sequences generated by chaotic maps have been widely studied. In particular, the logistic map is used as one of the chaotic map. However, if the logistic map is implemented by using finite precision computer arithmetic, rounding is required. In order to avoid rounding, Miyazaki, Araki, Uehara and Nogami proposed the logistic map over finite fields, and show some properties of s...

In this contribution, we propose the notion of homotopy for both combinatorial maps and weighted combinatorial maps. We also describe transformations that are homotopic in the defined sense. The usefulness of the concept introduced is illustrated using two applications. The first one consists in calculating a skeleton using homotopic transformations of weighted combinatorial maps. The result is...

Identification and mapping of landslide deposits are an intrinsically difficult and subjective operation that requires a great effort to minimise the inherent uncertainty. For the Staffora Basin, which extends for almost 300 km2 in the northern Apennines, three landslide inventory maps were independently produced by three groups of geomorphologists. In comparing each map with the others, large ...

A novel algorithm has been developed to map restriction fragments, starting from experimental size values with realistic error rates. A high performing PASCAL program has been derived from this algorithm to construct linear maps in minimal computation times.

To analyze nonlinear dynamic systems, we developed a new technique based on the square matrix method. We propose this called \convergence map" for generating particle stability diagrams similar to frequency maps widely used in accelerator physics estimate aperture. The convergence map provides information as but much shorter computing time. equation can be rewritten terms of action-angle variab...

Ž . A calibrated Four-Electrode Probe FEP was used for inexpensive and indirect determinations Ž . of salinity-sensor Electrical Conductivity EC in a plot at Cauto Valley, Cuba. Two transects Ž . Ž . were made in the North–South N–S and East–West E–W directions. Laboratory measurements of soil EC were also made from samples taken on a 50-m spaced square grid. A linear semivariogram was obtained...

Landsat 5 TM imagery was used to study the distribution of coastal habitats along the Eastern African coast, from Mnazi Bay (Tanzania) south to Pemba Bay (Mozambique), across the mouth of the Ruvuma estuary and the Quirimbas archipelago. Eight classes of coastal habitats, adapted from the Ramsar convention classification –intertidal, and subtidal –were mapped at a coarse descriptive resolution ...

We construct an area preserving map from the cube to the unit sphere S, both centered at the origin. More precisely, each face Fi of the cube is first projected to a curved square Si of the same area, and then each Si is projected onto the sphere by inverse Lambert azimuthal equal area projection, with respect to the points situated at the intersection of the coordinate axes with S. This map is...

This paper proposes two ways to fix the broken Square-Vinegar signature scheme. We give heuristic arguments as well as experimental evidence to support the security claims. The first variant, Square-Vinegar with Embedding, uses a simple modification that nonetheless changes the nature of the public key polynomials. The second, 2-Square-Vinegar, is a more significant overhaul of the construction...

A smooth curve is a map γ from a compact interval I of the real line to the plane, which is C∞ and such that ||γ ′(t)|| > 0 for any t ∈ I (this last property is called regularity). Any such curve can (and will be considered to) be arc-length reparametrised (i.e. ∀t ∈ I, ||γ ′(t)||= 1). We can approximate such a curve by drawing a square grid of mesh h on the plane, and look at the sequence of s...