530 research outputs found
Neoclassical Theory of Elementary Charges with Spin of 1/2
We advance here our neoclassical theory of elementary charges by integrating
into it the concept of spin of 1/2. The developed spinorial version of our
theory has many important features identical to those of the Dirac theory such
as the gyromagnetic ratio, expressions for currents including the spin current,
and antimatter states. In our theory the concepts of charge and anticharge
relate naturally to their "spin" in its rest frame in two opposite directions.
An important difference with the Dirac theory is that both the charge and
anticharge energies are positive whereas their frequencies have opposite signs
Geometric Algebra Model of Distributed Representations
Formalism based on GA is an alternative to distributed representation models
developed so far --- Smolensky's tensor product, Holographic Reduced
Representations (HRR) and Binary Spatter Code (BSC). Convolutions are replaced
by geometric products, interpretable in terms of geometry which seems to be the
most natural language for visualization of higher concepts. This paper recalls
the main ideas behind the GA model and investigates recognition test results
using both inner product and a clipped version of matrix representation. The
influence of accidental blade equality on recognition is also studied. Finally,
the efficiency of the GA model is compared to that of previously developed
models.Comment: 30 pages, 19 figure
Revisiting Digital Straight Segment Recognition
This paper presents new results about digital straight segments, their
recognition and related properties. They come from the study of the
arithmetically based recognition algorithm proposed by I. Debled-Rennesson and
J.-P. Reveill\`es in 1995 [Debled95]. We indeed exhibit the relations
describing the possible changes in the parameters of the digital straight
segment under investigation. This description is achieved by considering new
parameters on digital segments: instead of their arithmetic description, we
examine the parameters related to their combinatoric description. As a result
we have a better understanding of their evolution during recognition and
analytical formulas to compute them. We also show how this evolution can be
projected onto the Stern-Brocot tree. These new relations have interesting
consequences on the geometry of digital curves. We show how they can for
instance be used to bound the slope difference between consecutive maximal
segments
Professional translators’ and project managers’ perceptions of machine translation and post-editing: a survey study
Descriptive and Comparative Linguistic
Cartoon Computation: Quantum-like computing without quantum mechanics
We present a computational framework based on geometric structures. No
quantum mechanics is involved, and yet the algorithms perform tasks analogous
to quantum computation. Tensor products and entangled states are not needed --
they are replaced by sets of basic shapes. To test the formalism we solve in
geometric terms the Deutsch-Jozsa problem, historically the first example that
demonstrated the potential power of quantum computation. Each step of the
algorithm has a clear geometric interpetation and allows for a cartoon
representation.Comment: version accepted in J. Phys.A (Letter to the Editor
Planar Laser Induced Fluorescence Mapping of a Carbon Laser Produced Plasma
We present measurements of ion velocity distribution profiles obtained by
laser induced fluorescence (LIF) on an explosive laser produced plasma (LPP).
The spatio-temporal evolution of the resulting carbon ion velocity distribution
was mapped by scanning through the Doppler-shifted absorption wavelengths using
a tunable, diode-pumped laser. The acquisition of this data was facilitated by
the high repetition rate capability of the ablation laser (1 Hz) which allowed
the accumulation of thousand of laser shots in short experimental times. By
varying the intensity of the LIF beam, we were able to explore the effects of
fluorescence power against laser irradiance in the context of evaluating the
saturation versus the non-saturation regime. The small beam size of the LIF
beam led to high spatial resolution of the measurement compared to other ion
velocity distribution measurement techniques, while the fast-gated operation
mode of the camera detector enabled the measurement of the relevant electron
transitions
Lightlike infinity in GCA models of Spacetime
This paper discusses a 7 dimensional conformal geometric algebra model for
spacetime based on the notion that spacelike and timelike infinities are
distinct. I show how naturally of the dimensions represents the lightlike
infinity and appears redundant in computations, yet usefull in interpretationComment: 12 page
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