72,669 research outputs found
Configuration Controllability of Simple Mechanical Control Systems
In this paper we present a definition of "configuration controllability" for mechanical systems whose Lagrangian is kinetic energy with respect to a Riemannian metric minus potential energy. A computable test for this new version of controllability is derived. This condition involves an object which we call the symmetric product. Of particular interest is a definition of "equilibrium controllability" for which we are able to derive computable sufficient conditions. Examples illustrate the theory
Configuration Controllability of Simple Mechanical Control Systems
In this paper we present a definition of 'configuration controllability' for mechanical systems whose Lagrangian is kinetic energy with respect to a Riemannian metric minus potential energy. A computable test for this new version of controllability is derived. This condition involves an object that we call the symmetric product. Of particular interest is a definition of 'equilibrium controllability' for which we are able to derive computable sufficient conditions. Examples illustrate the theory
Spectra of Urea and Thiourea in the 3µ Region
Observations are reported on the polarized infrared spectra of single crystals of urea and thiourea in the 3µ region. Complex structures accompanying the N [Single Bond] H fundamentals appear, at least in considerable part, to be attributable to combinations and overtones of fundamentals in the neighborhood of 1650 cm^—1
Diel variation in vertical distribution of an offshore ichthyoplankton community off the Oregon coast
We examined the diel ver-tical distribution, concentration, and community structure of ichthyoplank-ton from a single station 69 km off the central Oregon coast in the northeast Pacific Ocean. The 74 depth-stratified samples yielded 1571 fish larvae from 20 taxa, representing 11 families, and 128 fish eggs from 11 taxa within nine families. Dominant larval taxa were Sebastes spp. (rockfishes), Stenobra-chius leucopsarus (northern lampfish), Tarletonbeania crenularis (blue lan-ternfish), and Lyopsetta exilis (slender sole), and the dominant egg taxa were Sardinops sagax (Pacific sardine), Icichthys lockingtoni (medusafish), and Chauliodus macouni (Pacific viperfish). Larval concentrations generally increased from the surface to 50 m, then decreased with depth. Larval concentrations were higher at night than during the day, and there was evidence of larval diel vertical migration. Depth stratum was the most important factor explaining variability in larval and egg concentrations
Microstructured superhydrorepellent surfaces: Effect of drop pressure on fakir-state stability and apparent contact angles
In this paper we present a generalized Cassi-Baxter equation to take into
account the effect of drop pressure on the apparent contact angle theta_{app}.
Also we determine the limiting pressure p_{W} which causes the impalement
transition to the Wenzel state and the pull-off pressure p_{out} at which the
drop detaches from the substrate. The calculations have been carried out for
axial-symmetric pillars of three different shapes: conical, hemispherical
topped and flat topped cylindrical pillars. Calculations show that, assuming
the same pillar spacing, conical pillars may be more incline to undergo an
impalement transition to the Wenzel state, but, on the other hand, they are
characterized by a vanishing pull-off pressure which causes the drop not to
adhere to the substrate and therefore to detach very easily. We infer that this
property should strongly reduce the contact angle hysteresis as experimentally
osberved in Ref. \cite{Martines-Conical-Shape}. It is possible to combine large
resistance to impalement transition (i.e. large value of p_{W}) and small (or
even vanishing) detaching pressure p_{out} by employing cylindrical pillars
with conical tips. We also show that depending on the particular pillar
geometry, the effect of drop pressure on the apparent contact angle theta_{app}
may be more or less significant. In particular we show that in case of conical
pillars increasing the drop pressure causes a significant decrease of
theta_{app} in agreement with some experimental investigations
\cite{LafunaTransitio}, whereas theta_{app} slightly increases for
hemispherical or flat topped cylindrical pillars.Comment: 21 pages, 13 figure
Semivariogram methods for modeling Whittle-Mat\'ern priors in Bayesian inverse problems
We present a new technique, based on semivariogram methodology, for obtaining
point estimates for use in prior modeling for solving Bayesian inverse
problems. This method requires a connection between Gaussian processes with
covariance operators defined by the Mat\'ern covariance function and Gaussian
processes with precision (inverse-covariance) operators defined by the Green's
functions of a class of elliptic stochastic partial differential equations
(SPDEs). We present a detailed mathematical description of this connection. We
will show that there is an equivalence between these two Gaussian processes
when the domain is infinite -- for us, -- which breaks down when
the domain is finite due to the effect of boundary conditions on Green's
functions of PDEs. We show how this connection can be re-established using
extended domains. We then introduce the semivariogram method for estimating the
Mat\'ern covariance parameters, which specify the Gaussian prior needed for
stabilizing the inverse problem. Results are extended from the isotropic case
to the anisotropic case where the correlation length in one direction is larger
than another. Finally, we consider the situation where the correlation length
is spatially dependent rather than constant. We implement each method in
two-dimensional image inpainting test cases to show that it works on practical
examples
The nature of X-ray spectral variability in Seyfert Galaxies
We use a model-independent technique to investigate the nature of the 2-15
keV X-ray spectral variability in four Seyfert galaxies and distinguish between
spectral pivoting and the two-component model for spectral variability. Our
analysis reveals conclusively that the softening of the X-ray continuum with
increasing flux in MCG -6-30-15 and NGC 3516 is a result of summing two
spectral components: a soft varying component (SVC) with spectral shape
independent of flux and a constant hard component (HCC). In contrast, the
spectral variability in NGC 4051 can be well described by simple pivoting of
one component, together with an additional hard constant component. The
spectral variability model for NGC 5506 is ambiguous, due to the smaller range
of fluxes sampled by the data. We investigate the shape of the hard spectral
component in MCG -6-30-15 and find that it appears similar to a pure reflection
spectrum, but requires a large reflected fraction (R>3). We briefly discuss
physical interpretations of the different modes of spectral variability.Comment: Accepted for publication in MNRAS letter
Can the X(3872) be a 1^{++} four-quark state?
We use QCD spectral sum rules to test the nature of the meson X(3872),
assumed to be an exotic four-quark (c\bar{c}q\bar{q}) state with J^{PC}=1^{++}.
For definiteness, we work with the current proposed recently by Maiani et al
[1], at leading order in \alpha_s, consider the contributions of higher
dimension condensates and keep terms which are linear in the light quark mass
m_q. We find M_X=(3925+- 127) MeV which is compatible, within the errors, with
he experimental candidate X(3872), while the SU(3) breaking-terms lead to an
unusual mass-splitting M_{X^{s}}-M_X=- (61+-30) MeV. The mass-difference
between the neutral states due to isospin violation of about (2.6-3.9) MeV is
much smaller than the value (8+-3) MeV proposed in [1]. For the b-quark, we
predict M_{X_b}= (10144+-106) MeV for the X_b(b\bar{b}q \bar{q}), which is much
below the {\bar B}B* threshold in contrast to the {\bar B}B* molecule
prediction [2], and for the X_b^s(b\bar{b}s \bar{s}), a mass-splitting
M_{X^s_{b}}-M_{X_b}=-(121+-182) MeV. Our analysis also indicates that the
mass-splitting between the ground state and the radial excitation of about
(225~250) MeV is much smaller than in the case of ordinary mesons and is
(within the errors) flavour-independent. We also extract the decay constants,
analogous to f_\pi, of such mesons, which are useful for further studies of
their leptonic and hadronic decay widths. The uncertainties of our estimates
are mainly due to the ones from the c and b quark masses.Comment: 16 pages, 10 figures. Version to appear in Phys. Rev.
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