It is shown that if M is a compact, connected, orientable hyperbolic 3-manifold whose boundary is a torus, and 7‘1, FZ are two slopes on i7M whose associated fillings are respectively a reducible manifold and one containing an essential torus, then the distance between these slopes is bounded above by 4. Under additional hypotheses this bound is improved Consequently the cabling conjecture is s...

The objective of this article is to show the application a supervision, control and acquisition system an industrial network chemical products, for which design logic architecture on Profibus-DP protocols described Ethernet, with peripheral terminal station ET-200, through Siemens CP433 programmable controller level sensor sensors, coupled radar-type transmitters accuracy ± 0.5 mm. As findings ...

We give a simplified proof of regularizing effects for first-order Hamilton-Jacobi Equations of the form ut+H(x, t, Du) = 0 in R ×(0,+∞) in the case where the idea is to first estimate ut. As a consequence, we have a Lipschitz regularity in space and time for coercive Hamiltonians and, for hypo-elliptic Hamiltonians, we also have an Hölder regularizing effect in space following a result of L. C...

In a laboratory experiment we show that minimum wages have significant and lasting effects on subjects’ reservation wages. The temporary introduction of a minimum wage leads to a rise in subjects’ reservation wages which persists even after the minimum wage has been removed. Firms are therefore forced to pay higher wages after the removal of the minimum wage than before its introduction. As a c...

A Contribution to the Empirics of Reservation Wages This paper provides evidence on the behavior of reservation wages over the spell of unemployment using high‐frequency longitudinal data. Using data from our survey of unemployed workers in New Jersey, where workers were interviewed each week for up to 24 weeks, we find that self‐reported reservation wages decline at a modest rate over the spel...

where τb = κρH is the optical depth of individual clumps or blobs, withH = l/f the “porosity length” for clumps of scale l and volume filling factor f . Note that optically thin blobs (τb ≪ 1) recover the non-porous limit, κeff → κ, whereas the limit of optically thick blobs (τb ≫ 1) has an effective opacity given by the ratio of their area l to mass mb(= l ρ/f = lρH), i.e. κeff → 1/ρH. The eff...

Consider a (robotic) explorer starting an exploration of an unknown terrain from its base station. As the explorer has only limited communication radius, it is necessary to maintain a line of robotic relay stations following the explorer, so that consecutive stations are within the communication radius of each other. This line has to start in the base station and to end at the explorer. In the ...