The central sphere of an ALE space

We consider the induced metric on the spherical fixed point set of a circle action on an ALE space and describe it by using the algebraic geometry of rational curves on algebraic surfaces, in particular the lines on a cubic.

The Status of Interdisciplinary Metaphor in Specialized Lexis

The assertion we start from in our study is that in specialized languages metaphor is a figure of reason rather than a figure of speech. The general objective of the study is researching the interdisciplinary status of specialized metaphor – terminological and conceptual – by making reference to the hard core of terminology. Derived objectives: comparative research of the degree of scientificity of interdisciplinary metaphor, at the hard core of lexis, following metaphorical transfer; descriptive-linguistic and cognitive research of the general and particular conceptual features that are preserved within this type of internal terminology. The approach is descriptive-contrastive.One of the conclusions of the research is that the central sphere of specialized lexis, by expansion, supplies terms that may be specialized or may go through a new metaphorical transfer without altering the degree of scientificity in the target fields.

The “Planckonions”

We consider a spherically symmetric stellar configuration with a density profile [Formula: see text]. This configuration satisfies the Schwarzchild black hole condition [Formula: see text] for every [Formula: see text]. We refer to it as “Planckonion”. The interesting thing about the Planckonion is that it has an onion-like structure. The central sphere with radius of the Planck-length [Formula: see text] has one unit of the Planck-mass [Formula: see text]. Subsequent spherical shells of radial width [Formula: see text] contain exactly one unit of [Formula: see text]. We study this stellar configuration using Tolman–Oppenheimer–Volkoff equation and show that the equation is satisfied if pressure [Formula: see text]. On the geometrical side, the space component of the metric blows up at every point. The time component of the metric is zero inside the star but only in the sense of a distribution (generalized function). The Planckonions mimic some features of black holes but avoid appearance of central singularity because of the violation of null energy conditions.

Sensor Systems for FRP Lightweight Structures: Automotive Features Based on Serial Sensor Products

To achieve resource efficiency and an increased performance, as well as a higher safety and more features for vehicles, lightweight composites are a central sphere of activity for automotive innovations. This becomes particularly striking if the focus is not only a reduced vehicle weight but also an efficient overall concept. In addition to compatible material technologies and component design, new electronic solutions are of interest. A research contribution at the Robert Bosch Company deals with the direct integration of a current automotive acceleration sensor in fiber-reinforced polymer (FRP) parts. The sensor is part of the passive vehicle safety. Primarily, the principal application of the currently mounted sensor as an integrated part of the vehicle structure was proven. Sensor-integrated parts were evaluated on their sensing functionality as well as their structural performance. The present research is done to use the integrated sensor for a secondary feature. The study shows that the sensor can also be an indicator for the condition of its surrounding FRP structure. Hence, the sensor integration makes it possible to derive a secondary feature for automobiles by using the current sensor for future functionalized lightweight structures.

Initiation of combustion waves in solids, and the effects of geometry

In a recent paper Weber et al. [9] examined the propagation of combustion waves in a semi-infinite gaseous or solid medium. Whereas their main concern was the behaviour of waves once they had been initiated, we concentrate here on the initiation of such waves in a solid medium and have not examined in detail the steadiness or otherwise of the waves subsequent to their formation. The investigation includes calculations for finite systems. The results for a slab, cylinder and sphere are compared.Critical conditions for initiation of ignition by a power source are established. For a slab the energy input is spread uniformly over one boundary surface. In the case of cylindrical or spherical symmetry it originates from a cylindrical core or from a small, central sphere, respectively. The size of source and reactant body is important in the last two cases. With the exception of the initial temperature distribution, the equations investigated are similar in form to those of Weber et al. [5,9] and, as a prelude to the present study, with very simple adaptation, it has been possible to reproduce the results of the earlier work. We then go on to report the result of calculations for the initiation of ignition under different geometries with various initial and boundary conditions.

How Administrators Understand Learning Difficulties

School administrators in six school districts were interviewed. Each district had been identified previously as having increasing rates of retention in grade or transitional-grade placements and increasing incidence of the identification of students as having disabilities. School administrators offered a variety of explanations for students' learning difficulties and offered a number of suggested remedies. virtually all of the explanations and remedies placed the school outside the central sphere of influence. In other words, in these interviews administrators offered few ideas for altering the current general education programs as a potential strategy for addressing the problems of at-risk children.

The effects of rotation of the central body on its planetary orbits, after the Whitehead theory of gravitation

The Whitehead gravitation tensor for the exterior field due to a finite, uniform rotating sphere is evaluated in closed form. The advance of perihelion of an equatorial orbit is then calculated, making no assumption as to the smallness of the angular velocity of the central sphere. Finally, the perturbing forces on the Newtonian elliptical orbit due to rotation of the central sphere are determined with neglect of the square of this angular velocity. It is remarkable that the results of the present paper based on Whitehead’s theory agree very closely with those obtained by Lense & Thirring (1918) using Einstein’s linearized law of gravitation. In fact, for a homogeneous sphere, it is impossible to distinguish between the results in the two theories, to the order of approximation considered.