6,270 research outputs found
The 30/20 GHZ net market assessment
By creating a number of market scenarios variations dealing with network types, network sizes, and service price levels were analyzed for their impact on market demand. Each market scenario represents a market demand forecast with results for voice, data, and video service traffic expressed in peak load megabits per second
Soft core thermodynamics from self-consistent hard core fluids
In an effort to generalize the self-consistent Ornstein-Zernike approximation
(SCOZA) -- an accurate liquid-state theory that has been restricted so far to
hard-core systems -- to arbitrary soft-core systems we study a combination of
SCOZA with a recently developed perturbation theory. The latter was constructed
by Ben-Amotz and Stell [J. Phys. Chem. B 108,6877-6882 (2004)] as a
reformulation of the Week-Chandler-Andersen perturbation theory directly in
terms of an arbitrary hard-sphere reference system. We investigate the accuracy
of the combined approach for the Lennard-Jones fluid by comparison with
simulation data and pure perturbation theory predictions and determine the
dependence of the thermodynamic properties and the phase behavior on the choice
of the effective hard-core diameter of the reference system.Comment: 38 pages, 10 figure
Self-consistent Ornstein-Zernike approximation for molecules with soft cores
The Self-Consistent Ornstein-Zernike Approximation (SCOZA) is an accurate
liquid state theory. So far it has been tied to interactions composed of hard
core repulsion and long-range attraction, whereas real molecules have soft core
repulsion at short distances. In the present work, this is taken into account
through the introduction of an effective hard core with a diameter that depends
upon temperature only. It is found that the contribution to the configurational
internal energy due to the repulsive reference fluid is of prime importance and
must be included in the thermodynamic self-consistency requirement on which
SCOZA is based. An approximate but accurate evaluation of this contribution
relies on the virial theorem to gauge the amplitude of the pair distribution
function close to the molecular surface. Finally, the SCOZA equation is
transformed by which the problem is reformulated in terms of the usual SCOZA
with fixed hard core reference system and temperature-dependent interaction
On principal hook length partitions and durfee sizes in skew characters
In this paper we construct for a given arbitrary skew diagram A all
partitions nu with maximal principal hook lengths among all partitions with the
character [nu] appearing in the skew character [A]. Furthermore we show that
these are also partitions with minimal Durfee size. This we use to give the
maximal Durfee size for [nu] appearing in [A] for the cases when A decays into
two partitions and for some special cases of A. Also this gives conditions for
two skew diagrams to represent the same skew character.Comment: 13 pages, minor changes from v1 to v2 as suggested by the referee, to
appear in Annals. Com
The 18/30 GHz fixed communications system service demand assessment. Volume 1: Executive summary
The total demand for voice, video, and data communications services, and satellite transmission services at the 4/6 GHz, 12/14 GHz, and 18/30 GHz frequencies is discussed. Major study objectives, overall methodology, results, and general observations about a satellite systems market characteristics and trends are summarized
The 30/20 GHz fixed communications systems service demand assessment. Volume 3: Appendices
The market analysis of voice, video, and data 18/30 GHz communications systems services and satellite transmission services is discussed. Detail calculations, computer displays of traffic, survey questionnaires, and detailed service forecasts are presented
Equality of multiplicity free skew characters
In this paper we show that two skew diagrams lambda/mu and alpha/beta can
represent the same multiplicity free skew character [lambda/mu]=[alpha/beta]
only in the the trivial cases when lambda/mu and alpha/beta are the same up to
translation or rotation or if lambda=alpha is a staircase partition
lambda=(l,l-1,...,2,1) and lambda/mu and alpha/beta are conjugate of each
other.Comment: 16 pages, changes from v1 to v2: corrected the proof of Theorem 3.5
and some typos, changes from v2 to v3: minor layout change, enumeration
changed, to appear in J. Algebraic Combi
Constructions for cyclic sieving phenomena
We show how to derive new instances of the cyclic sieving phenomenon from old
ones via elementary representation theory. Examples are given involving objects
such as words, parking functions, finite fields, and graphs.Comment: 18 pages, typos fixed, to appear in SIAM J. Discrete Mat
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