Equidimensional isometric maps

In Gromov's treatise Partial Differential Relations (volume 9 of Ergebnisse der Mathematik und ihrer Grenzgebiete (3), 1986), a continuous map between Riemannian manifolds is called isometric if it preserves the length of rectifiable curves. In this note we develop a method using the Baire category theorem for constructing such isometries. We show that a typical $1$-Lipschitz map is isometric in canonically formulated extension and restriction problems

Is there a "native" band gap in ion conducting glasses?

It is suggested that the spectrum of ion site energies in glasses exhibits a band gap, establishing an analogy between ion conducting glasses and intrinsic semiconductors. This implies that ion conduction in glasses takes place via vacancies and interstitial ions (as in crystals).Comment: 3 page

Erfolgreiche additive Fertigung durch die richtige Aus- und Weiterbildung

Um die vielen Vorteile der additiven Fertigung optimal zu nutzen, sind sehr gute Kenntnisse in dieser noch recht jungen Fertigungstechnologie immens wichtig. Allerdings sind heute noch zu wenig Konstrukteure und Ingenieure in der additiven Fertigung ausgebildet. Neue Aus- und Weiterbildungsangebote an der der ZHAW zeigen wie diese Lücke erfolgreich geschlossen wird

The Endangered Species Act: Does Endangered Refer to Species, Private Property Rights, the Act Itself, or All of the Above?

This Comment will focus on the current problems of the ESA and suggest how the ESA can be rewritten to accommodate both environmental and private property interests. Section I will discuss procedure under the ESA. In Section II, the Comment examines the controversial harm definition frequently arising in ESA litigation. In Section III, the Comment will dispel the myth that the ESA is currently operating as originally intended and will discuss the reasons why private property owners criticize the current ESA. Section IV will examine a proposal for reauthorizing the ESA written by Senator Dirk Kempthorne (R-Idaho) that Congress failed to adopt in 1997.1 Further, in Section V, the Comment will focus on suggestions for improving the Kempthorne Reauthorization Bill as the basis for future legislation geared toward ESA reform and reauthorization. Finally, in Section VI, this Comment will conclude that the ESA should not be reauthorized without first being rewritten to ensure a balance between strong, effective species protection and a genuine respect for property rights and economic interests

Introduction: The GMA Comes of Age in Washington

The Law Review thought it was time to conduct a progress report on the GMA, especially in light of the revolutionary changes it has created for land use law in Washington, including the development of a much more comprehensive approach to land use and resource management. We thought it might be helpful to provide a short history explaining what led to the adoption of the GMA in order to better understand its significance for land use in Washington

Introduction: The GMA Comes of Age in Washington

The Law Review thought it was time to conduct a progress report on the GMA, especially in light of the revolutionary changes it has created for land use law in Washington, including the development of a much more comprehensive approach to land use and resource management. We thought it might be helpful to provide a short history explaining what led to the adoption of the GMA in order to better understand its significance for land use in Washington

Volume changes caused by alkali ions in borate, germanate and silicate glasses and their relation to cation mobility

It can be shown that volume changes in silicate, borate and germanate glasses can be simply described by the ionic volumes of the corresponding cation addition, if these changes are related to the total number of oxygen atoms. Changes in the volume per mole oxygen are also caused by a varying coordination number as in the case of borate and germanate glasses. Molar volumes defined this way obey simple superposition rules for binary and ternary glasses. In addition, the volume per oxygen atom (or mole), a measure of the average distance of oxygen atoms, provides a quantity which is closely related to the diffusion of gas atoms and alkali ions. Thus a decreasing (increasing) volume per mole oxygen gives rise to a decrease (increase) of the diffusion coefficient of cations or gas atoms. Examples will be presented where this relation is fulfilled qualitatively or quantitatively even. For the quantitative description of diffusion the volume changes caused by external hydrostatic pressure and their known effect on diffusion will be used, in order to model the effect of volume changes caused by a changing composition