Topographical measurements of surfaces yield a lot of data which are usually presented by tables of height coordinates or by contour maps. Here a method is described to characterize the surface geometry by just a few parameters which quantify the functional properties: sphericity, twist and waviness. Examples of applications are given from the field of surface plate measurement. Some measuremen...

The use of grey-scale contours, and fingerprints derived from this, has recently been used to analyse images for object recognition. The processing of these data can take a number of different forms. This paper describes a method for using characteristic aspects of the fingerprint, and geometrical relationships between them, to reduce an image to a set of simple geometric features. These featur...

It is shown that the two sequences of characteristic dimensions of transfinite heterotic string space-time found by El Naschie can be remarkably well accounted for in terms of the arithmetic of self-conjugate homaloidal nets of plane algebraic curves of orders 3 to 20. A firm algebraic geometrical justification is thus given not only for all the relevant dimensions of the classical theory, but ...

Mechanisms that are involved in the loss of capacity upon the cycling of electrochemical cells are discussed. The inherent instability of the electrochemical interface and the resultant geometrical changes are characteristic of electrodes in which the reactant is a pure element. On the other hand, decrepitation can play an important role in the case of polyphase electrodes in which significant ...

The classical dynamics of a free particle constrained to move in an integrable two-dimensional confocal elliptic billiard is investigated. We derive the characteristic equations for periodic orbits, classify the orbits, present the Poincaré maps, give expressions for the lengths of the trajectories, and do a stability analysis of special orbits. We also explore some interesting geometrical cons...

In this work, a multi-hop string network with a single sink node is analyzed. A periodic optimal scheduling for TDMA operation that considers the characteristic long propagation delay of the underwater acoustic channel is presented. This planning of transmissions is obtained with the help of a new geometrical method based on a 2D lattice in the space-time domain. In order to evaluate the perfor...

For articular cartilage with the approximate material parameters HA = 1MPa, k = 1.0 · 10mNs and the sample radius relevant for current tissue engineering studies r0 = 2mm we find a characteristic time constant of τg ≈ 67min. For agarose with the same geometrical dimensions and the material parameters HA = 1.5 kPa, k = 6.61 · 10 mNs [2] we find τg ≈ 67min as well. These rough estimates show a co...

-We have investigated the influence of charge on the ground state structures for small Sin (n=5-10) clusters by using the full-potential linear muffin-tin orbital molecular-dynamics (FP-LMTO-MD) method. Addition or removal of one or two electrons does not change the geometrical configurations of the small Sin (n=5-10) clusters even though they undergo some structural distortion. But the structu...