The active state of a muscle, after excitation by a single shock, rises rapidly to its full extent and then remains on a level or ‘p la teau ’ until relaxation begins to set in. The end of the ‘p la teau ’ is considerably earlier than the m aximum of a normal tw itch, bu t the method of quick stretches is no t adequate to define it more accurately. In the m ethod described in this paper a muscl...

Let TD denote the first exit time of a Brownian motion from domain D in Rn. Given domains U,W⊆Rn containing origin, we investigate cases which are more likely to have fast exits U than W, meaning P(TUP(TWt)>P(TW>t) large. T...

Using molecular simulations, we identify microscopic relaxation events of individual particles in ageing structural glasses, and determine the full distribution of relaxation times. We find that the memory of the waiting time tw elapsed since the quench extends only up to the first relaxation event, while the distribution of all subsequent relaxation times (persistence times) follows a power la...

Spectroscopy of the infrared He I (λ10830) line with KECK/NIRSPEC and IRTF/CSHELL and of the ultraviolet C III (λ977) and O VI (λ1032) emission with FUSE reveals that the classical T Tauri star TW Hydrae exhibits P Cygni profiles, line asymmetries, and absorption indicative of a continuous, fast (∼400 km/s), hot (∼300,000 K) accelerating outflow with a mass loss rate ∼10–10 M⊙ yr −1 or larger. ...

The TW Hydrae Association is the nearest young stellar association. Among its members are HD 98800, HR 4796A, and TW Hydrae itself, the nearest known classical T Tauri star. We have observed these three stars spectroscopically between 3 and 13 μm. In TW Hya the spectrum shows a silicate emission feature that is similar to many other young stars with protostellar disks. The 11.2 μm feature indic...

I n t h i n nemat ic f i lms the d i rec tor field n may on ly depend on z, the n o r m a l to the film p lane. There are two stable conf igurat ions w i t h less than a l l three types of de fo rma t ion present, the pure tw is t and the pure splay-bend. Fo r the pure tw is t under the add i t i ona l in f luence of an ex te rna l field n o r m a l to the tw is t p lane the range of s tab i l ...

Let tw(G), pw(G), c(G), !J.(G) denote, respectively, the tree-width, path-width, cutwidth and the maximum degree of a graph G on 11 vertices . It is known that c (G)~tw (G). We prove that c (G) =0 (tw (G)·!J.(G)·logn), and if ({Xj : iel] ,T=(I,A» is a tree decomposition of G with tree-wid~ then c (G) S (k+ l)·!J.(G)·c (T). In case that a tree decomposition is given, or that the tree-width is bo...