A class ξ of algebras of symmetric n × n matrices, related to Toeplitz-plus-Hankel structures and including the well-known algebra H diagonalized by the Hartley transform, is investigated. The algebras of ξ are then exploited in a general displacement decomposition of an arbitrary n× n matrix A. Any algebra of ξ is a 1-space, i.e., it is spanned by n matrices having as first rows the vectors of...

We develop upper and lower bound arguments for counting acceptance modes of communication protocols. A number of separation results for counting communication complexity classes is established. This extends the investigation of the complexity of communication between two processors in terms of complexity classes initiated by Babai, Frankl, and Simon [Proc. 27th IEEE FOCS 1986, pp. 337{347] and ...

We consider separations of reducibilities by random sets. First, we show a result on polynomial time-bounded reducibilities that query their oracle nonadaptively: for every p-random set R, there is a set that is reducible to R with k + 1 queries but is not reducible to any other p-random set with at most k queries. This result solves an open problem stated in a recent survey paper by Lutz and M...

‘OGjaerevoll, 0. 1963. Botanical investigations in central Alaska especially in the White Mountains. Part 11. Det Kg1 Norske Videnskabers Selskabs Skrifter, 4. 115 pp. 11L6ve, D. and N. J. Freedman. 1956. A plant collection from SW Yukon. Botaniska Notiser, 109: 153-211. IzViereck, L. A. 1967. Plants above 2,140 meters (7,000 feet) in the Alaska Range. Bryologist, 70: 345-347. 13Bakewel1, A. 19...

a significant r6le, lends little support to Helm's view regarding the physical dimensions of economic value. Such value, or, to use more exact terms, "marginal utility," does not, in the analysis here presented, appear as the intensity factor of an energy. 1 Papers from the Department of Biometry and Vital Statistics, School of Hygiene and Public Health, Johns Hopkins University, No. 40. 2 Helm...

their minima, we see at once that the most probable transitions are going to give nuclear separations which will not result in dissociation. This is in perfect accord with experiment. Until we know more of the excited states of the H2+ ion we cannot proceed with explanations of the effects that still faster electrons may produce. 1 Winans and Stueckelberg, these PROCUZDINGS, 14, 867, 1928. 2 We...

MENT OF OBSTETRIC PROBLEMS. Edited by T. Barnett and J. J. Foley. (Pp. xiii+ 188; illustrated. 50s.) Oxford: Pcrgamon Press, 1963. THIS is the transcript of proceedings at the first Obstetric Coonference held under the auspices of the South-WVestern Obstetrical and Gv-nacological Society in Portsmouth in November, 1961. There were five sessions, devoted to the very important practical subjects ...

The structure and dynamics of penta-hepta defects (PHD’s) in hexagonal patterns are studied in the framework of coupled amplitude equations for the underlying plane waves. An analytical solution for the phase field of moving PHD is found in the far field, which generalizes the static solution due to Pismen and Nepomnyashchy. The mobility tensor of the PHD is calculated using a combined analytic...

The interpretation of modified PPs, like one meter behind the desk, far outside the village, or right under the lamp has never received much attention in the literature about prepositions. However, as this paper shows, the modification of PPs presents an intriguing problem for a compositional semantics of PPs. This problem can be solved when the PP is interpreted, not as a set of points or mere...

Findings from recent eye-tracking studies suggest that adults prefer to rely more on recently seen events than possible future events during sentence comprehension: When the verb in an NP1-VERB-ADV-NP2 sentence was referentially ambiguous between a recent action and an equally possible future action, adults fixated the target of the recent action more often than the not-yet-acted upon object (K...