60,300 research outputs found
Fundamental Flaws in Feller's Classical Derivation of Benford's Law
Feller's classic text 'An Introduction to Probability Theory and its
Applications' contains a derivation of the well known significant-digit law
called Benford's law. More specifically, Feller gives a sufficient condition
("large spread") for a random variable to be approximately Benford
distributed, that is, for to be approximately uniformly
distributed modulo one. This note shows that the large-spread derivation, which
continues to be widely cited and used, contains serious basic errors. Concrete
examples and a new inequality clearly demonstrate that large spread (or large
spread on a logarithmic scale) does not imply that a random variable is
approximately Benford distributed, for any reasonable definition of "spread" or
measure of dispersionComment: 7 page
Retail Innovation - The never-ending road to success? A critical analysis of pitfalls and opportunities
This paper outlines the current and continuous changes occurring in the retail and social environment that necessitate the constant evolution of retail formats. Over recent years experiential retail formats have appeared in recognition of the increasing need to âentertainâ shoppers and satisfy their âleisureâ needs. A number of âbest practiceâ examples of such retail innovation have been presented.
While such experiential innovations appear to be the âholy grailâ of modern retailing, they often require considerable investments of both capital and management time. This paper has used an autoethnographic approach to reflect upon the constraints and costs involved in the design, construction and operation of such a retail enterprise to provide a unique and holistic assessment of the benefits and challenges experiential innovation holds in developing new retail formats and initiatives. The findings from this research highlight a number of previously unreported pitfalls that are likely to be encountered, financially, operationally and symbolically. It is recommended that retailers continue to explore experiential innovations, but that they proceed with caution
Testing the Origin of Cosmological Magnetic Fields through the Large-Scale Structure Consistency Relations
We study the symmetries of the post-recombination cosmological
magnetohydrodynamical equations which describe the evolution of dark matter,
baryons and magnetic fields in a self-consistent way. This is done both at the
level of fluid equations and of Vlasov-Poisson-Maxwell equations in phase
space. We discuss some consistency relations for the soft limit of the (n +
1)-correlator functions involving magnetic fields and matter overdensities. In
particular, we stress that any violation of such consistency relations at
equal-time would point towards an inflationary origin of the magnetic field.Comment: 23 page
Towards a renewal of the propeller in aeronautics
The reasons for reconsidering the propeller for aircraft propulsion, the areas of application, and necessary developments are considered. Rising fuel costs and an increasing theoretical and experimental data base for turboprop engines have demonstrated that significant cost savings can be realized by the use of propellers. Propellers are well-suited to powering aircraft traveling at speeds up to Mach 0.65. Work is progressing on the development of a 150 seat aircraft which has a cruise speed of Mach 0.8, powered by a turboprop attached to an engine of 15,000 shp. Aeroelasticity analyses ae necessary in order to characterize the behavior of thin profile propfan blades, particularly to predict the oscillations through the entire functional range. High-power reducers must be developed, and the level of cabin noise must be controlled to less than 90 dB. Commercial applications are predicted for turboprops in specific instances
Top Spin and Experimental Tests
We examine pair mass dependence near threshold as a means to measure the spin
of the top quark in hadron collisions, and we discuss the possibility that a
top squark signal could be hidden among the top events.Comment: 9 pages, RevTeX, 3 figures. Contribution to the Thinkshop on
Top-Quark Physics for the Tevatron Run II, Fermilab, October 16 - 18, 199
General Issues in the Evolution of Fermion Masses and Mixings
General issues in the renormalization group evolution of fermion masses and
mixings is discussed. An effective fixed point in the top quark Yukawa coupling
can strongly constrain its value at the electroweak scale. Predictions
following from Yukawa coupling unification are affected by threshold
corrections at the grand unified scale. The Landau pole translates into an
upper limit on the strong gauge coupling . Given the hierarchy
in the fermion sector, the evolution of the Cabbibo-Kobayashi-Maskawa matrix
can be expressed in terms of a single scaling parameter . Using this scaling
factor and analogous scaling factors for the quark and lepton masses, we
outline a systematic strategy that readily yields electroweak predictions for
any GUT scale texture.}Comment: (Talk given at the SUSY93 Conference MSB), 9 pages + 3 PS figures not
included (available on request), MAD/PH/75
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