3,624 research outputs found
On the solution of a Riesz equilibrium problem and integral identities for special functions
The aim of this note is to provide a full space quadratic external field
extension of a classical result of Marcel Riesz for the equilibrium measure on
a ball with respect to Riesz s-kernels. We address the case s=d-3 for arbitrary
dimension d, in particular the logarithmic kernel in dimension 3. The
equilibrium measure for this full space external field problem turns out to be
a radial arcsine distribution supported on a ball with a special radius. As a
corollary, we obtain new integral identities involving special functions such
as elliptic integrals and more generally hypergeometric functions. It seems
that these identities are not found in the existing tables for series and
integrals, and are not recognized by advanced mathematical software. Among
other ingredients, our proofs involve the Euler-Lagrange variational
characterization, the Funk-Hecke formula, the Weyl regularity lemma, the
maximum principle, and special properties of hypergeometric functions.Comment: Minor modifications. To appear in Journal of Mathematical Analysis
and Applications (JMAA
Effect of tooth profile modification on the durability of planetary hub gears
Planetary systems offer the advantage of desired speed-torque variation with a lighter, compact and coaxial construction than the traditional gear trains. Frictional losses and Noise, Vibration and Harshness (NVH) refinement are the main concerns. Modification of gear teeth geometry to reduce friction between the mating teeth flanks of vehicular planetary hubs, as well as refining NVH under varying load-speed conditions is one of the remedial actions. However, implementing modifications can result in reduced structural integrity and system durability. Therefore, a contradiction may arise between assuring a high degree of durability and achieving better transmission efficiency, which necessitates detailed system optimisation. An integrated multi-disciplinary analytical approach, including tribology and sub-surface stress analysis is developed. As a preliminary step, Tooth Contact Analysis (TCA) is performed to obtain contact footprint shape of meshing gear teeth pairs, as well as contact kinematics and applied load distribution. Then, an analytical time-efficient Elastohydrodynamic Lubrication (EHL) analysis of elliptical point contact of crowned spur gear tooth is carried out to observe the effect of gear tip relief modification upon planetary hub sub-surface stresses
Optimal use of Information for Measuring in Lepton+jets Events
We present a novel approach that is being developed at DZero for extracting
information from data through a direct comparison of all measured variables in
an event with a matrix element that describes the entire production process.
The method is exemplified in the extraction of the mass of the top quark in
top-antitop events in the lepton+jets final state. Monte Carlo studies suggest
that an improvement of about a factor of two in statistical uncertainty on the
mass of the top quark can be achieved relative to previously published work for
the same channel. Preliminary results from the re-analysis provide a reduction
in the statistical uncertainty of almost a factor of 1.6, corresponding to an
effective factor of 2.4 increase in the size of the data sample.Comment: presented at HCP200
Narrow Technihadron Production at the First Muon Collider
In modern technicolor models, there exist very narrow spin-zero and spin-one
neutral technihadrons---, and ---with masses of a
few 100 GeV. The large coupling of to , the direct
coupling of and to the photon and , and the superb
energy resolution of the First Muon Collider may make it possible to resolve
these technihadrons and produce them at extraordinarily large rates.Comment: 11 pages, latex, including 2 postscript figure
Microgeometrical tooth profile modification influencing efficiency of planetary hub gears
Planetary hub systems offer desired speed and torque variation with a lighter, compact and coaxial construction than the traditional gear trains. Generated friction between the mating teeth flanks of vehicular planetary hubs under varying load-speed conditions is one of the main sources of power loss. Modification of gear tooth geometry as well as controlling the contacting surface topography is the remedial action. The paper studies the effect of tooth crowning and tip relief upon system efficiency. It includes an analytical elastohydrodynamic analysis of elliptical point contact of crowned spur gear teeth. The analysis also includes the effect of direct contact of asperities on the opposing meshing surfaces. Tooth contact analysis (TCA) is used to obtain the contact footprint shape as well as contact kinematics and load distribution. A parametric study is carried out to observe the effect of gear teeth crowning and tip relief with different levels of surface finish upon the planetary hubs’ power loss
Multigene analyses resolve early diverging lineages in the Rhodymeniophycidae (Florideophyceae, Rhodophyta).
Multigene phylogenetic analyses were directed at resolving the earliest divergences in the red algal subclass Rhodymeniophycidae. The inclusion of key taxa (new to science and/or previously lacking molecular data), additional sequence data (SSU, LSU, EF2, rbcL, COI-5P), and phylogenetic analyses removing the most variable sites (site stripping) have provided resolution for the first time at these deep nodes. The earliest diverging lineage within the subclass was the enigmatic Catenellopsis oligarthra from New Zealand (Catenellopsidaceae), which is here placed in the Catenellopsidales ord. nov. In our analyses Atractophora hypnoides was not allied with the other included Bonnemaisoniales, but resolved as sister to the Peyssonneliales, and is here assigned to Atractophoraceae fam. nov. in the Atractophorales ord. nov. Inclusion of Acrothesaurum gemellifilum gen. et sp. nov. from Tasmania has greatly improved our understanding of the Acrosymphytales, to which we assign three families, the Acrosymphytaceae, Acrothesauraceae fam. nov. and Schimmelmanniaceae fam. nov. This article is protected by copyright. All rights reserved
Physics Beyond the Standard Model
I briefly summarize the prospects for extending our understanding of physics
beyond the standard model within the next five years.Comment: 9 pages, 2 figures, LaTeX. Presented at the 1999 UK Phenomenology
Workshop, Durham, September 1999. To be published in Journal of Physics
Effects of Gear Modification and Surface Finish on Planetary Gear Systems Efficiency
Planetary gear systems offer desired speed and torque variation with a compact and lighter construction than traditional gear trains. Transmission losses are one of the main concerns. Modification of gear teeth geometry is one of the remedial actions to reduce friction
Single Top Quark Production as a Probe for Anomalous Moments at Hadron Colliders
Single production of top quarks at hadron colliders via fusion is
examined as a probe of possible anomalous chromomagnetic and/or chromoelectric
moment type couplings between the top and gluons. We find that this channel is
far less sensitive to the existence of anomalous couplings of this kind than is
the usual production of top pairs by or fusion. This result is
found to hold at both the Tevatron as well as the LHC although somewhat greater
sensitivity for anomalous couplings in this channel is found at the higher
energy machine.Comment: New discussion and 10 new figures added. uuencoded postscript fil
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