192 research outputs found
When 'Feeling Good' is not Good Enough: Seven Key Opportunities for Emotional Granularity in Product Development
Combination of inverse spectral transform method and method of characteristics: deformed Pohlmeyer equation
We apply a version of the dressing method to a system of four dimensional
nonlinear Partial Differential Equations (PDEs), which contains both Pohlmeyer
equation (i.e. nonlinear PDE integrable by the Inverse Spectral Transform
Method) and nonlinear matrix PDE integrable by the method of characteristics as
particular reductions. Some other reductions are suggested.Comment: 12 page
When 'Feeling Good' is not Good Enough: Seven Key Opportunities for Emotional Granularity in Product Development
Universal aspects of string propagation on curved backgrounds
String propagation on D-dimensional curved backgrounds with Lorentzian
signature is formulated as a geometrical problem of embedding surfaces. When
the spatial part of the background corresponds to a general WZW model for a
compact group, the classical dynamics of the physical degrees of freedom is
governed by the coset conformal field theory SO(D-1)/SO(D-2), which is
universal irrespective of the particular WZW model. The same holds for string
propagation on D-dimensional flat space. The integration of the corresponding
Gauss-Codazzi equations requires the introduction of (non-Abelian) parafermions
in differential geometry.Comment: 15 pages, latex. Typo in Eq. (2.12) is corrected. Version to be
published in Phys. Rev.
Bi-differential calculi and integrable models
The existence of an infinite set of conserved currents in completely
integrable classical models, including chiral and Toda models as well as the KP
and self-dual Yang-Mills equations, is traced back to a simple construction of
an infinite chain of closed (respectively, covariantly constant) 1-forms in a
(gauged) bi-differential calculus. The latter consists of a differential
algebra on which two differential maps act. In a gauged bi-differential
calculus these maps are extended to flat covariant derivatives.Comment: 24 pages, 2 figures, uses amssymb.sty and diagrams.sty, substantial
extensions of examples (relative to first version
A Cross-Cultural Comparison of Younger and Older Adults\u27 Simulated Highway Driving Performance Under Single and Dual Task Conditions
Driving is a complex psychomotor task that is often interrupted by secondary activities that divert attention away from the roadway. The risk of inattentive driving is known vary with age. The degree to which culture impacts these changes is less established. To study the impact of age and culture on drivers’ capacity to manage dual task demands, we developed a parallel driving simulation in the US and Korea. We assessed the performance of 135 drivers divided into two age groups, younger (20–29) and older (60-69). Both age and cultural group differences in basic highway driving performance measures were observed. However, the relative impact of the dual task demands on driving performance was largely consistent across cultures
EmotionPrism: a design tool that communicates 25 pleasurable human-product interactions
The range of positive emotions experienced in human-product interactions is multifarious. Differentiating positive emotions (e.g., joy, love, hope, and interest) and having an awareness of associated expressive interaction qualities (e.g., playful, careful, persistent and focused interaction) can support designers to influence users' interactions in a favourable way. This paper introduces the development and application of EmotionPrism, a tool for designers to gain a better understanding specific positive emotions and related expressive interaction qualities. EmotionPrism is a collection of movie-sets that represents 25 different positive emotions in dynamic hand-object interactions, combined with theoretical descriptions of the emotions. Designers can use the tool to envision and discuss what kinds of interactions would be appropriate or desirable to incite and to select a set of relevant positive emotions accordingly by referring to the set of information as a repertoire to choose from. The paper first describes characteristics of positive emotions with a focus on expressive behaviour and then discusses considerations for the tool development. The second section reports the process of developing the tool. Thirdly, we present the results of a design workshop in which the tool was used and evaluated
Currents, Charges, and Canonical Structure of Pseudodual Chiral Models
We discuss the pseudodual chiral model to illustrate a class of
two-dimensional theories which have an infinite number of conservation laws but
allow particle production, at variance with naive expectations. We describe the
symmetries of the pseudodual model, both local and nonlocal, as transmutations
of the symmetries of the usual chiral model. We refine the conventional
algorithm to more efficiently produce the nonlocal symmetries of the model, and
we discuss the complete local current algebra for the pseudodual theory. We
also exhibit the canonical transformation which connects the usual chiral model
to its fully equivalent dual, further distinguishing the pseudodual theory.Comment: 15 pages, ANL-HEP-PR-93-85,Miami-TH-1-93,Revtex (references updated,
format improved to Revtex
Equivalence of the (generalised) Hadamard and microlocal spectrum condition for (generalised) free fields in curved spacetime
We prove that the singularity structure of all n-point distributions of a
state of a generalised real free scalar field in curved spacetime can be
estimated if the two-point distribution is of Hadamard form. In particular this
applies to the real free scalar field and the result has applications in
perturbative quantum field theory, showing that the class of all Hadamard
states is the state space of interest. In our proof we assume that the field is
a generalised free field, i.e. that it satisies scalar (c-number) commutation
relations, but it need not satisfy an equation of motion. The same argument
also works for anti-commutation relations and it can be generalised to
vector-valued fields. To indicate the strengths and limitations of our
assumption we also prove the analogues of a theorem by Borchers and Zimmermann
on the self-adjointness of field operators and of a very weak form of the
Jost-Schroer theorem. The original proofs of these results in the Wightman
framework make use of analytic continuation arguments. In our case no
analyticity is assumed, but to some extent the scalar commutation relations can
take its place.Comment: 18 page
Recommended from our members
Developing Next-generation Brain Sensing Technologies - A Review.
Advances in sensing technology raise the possibility of creating neural interfaces that can more effectively restore or repair neural function and reveal fundamental properties of neural information processing. To realize the potential of these bioelectronic devices, it is necessary to understand the capabilities of emerging technologies and identify the best strategies to translate these technologies into products and therapies that will improve the lives of patients with neurological and other disorders. Here we discuss emerging technologies for sensing brain activity, anticipated challenges for translation, and perspectives for how to best transition these technologies from academic research labs to useful products for neuroscience researchers and human patients
- …