Search results for "category theory"
showing 10 items of 1172 documents
Do metric independent classical actions lead to topological field theories?
1991
Abstract We investigate the quantum theory of non-abelian BF -systems (gauge theories with the classical metric independent action ∫ tr BF A ). The fact that due to a complicated (on-shell reducible) gauge structure the quantum action of these theories does not differ only by a BRST commutator from the classical action, and that moreover the BRST operator turns out to be metric dependent, renders the standard arguments for metric independence inapplicable. We establish the topological nature of these models and argue that in gauge theories the information on gauge invariance is contained entirely in the metric independent part of the BRST operator. We make some general remarks on the relati…
Innovation in Traditional Food Products
2016
International audience; Innovation is widely accepted as one of the keys to being successful. However, companies can innovate and still fail if markets fail to accept the innovation. In most cases, the acceptance of an innovation depends on the innovation itself and also on the product to which it is applied. In this chapter acceptance of different innovations in traditional food products is investigated, thus focusing on the definition of the "traditional" and "innovation" concepts from the consumer's perspective. Qualitative and quantitative approaches are combined to better understand and predict the possibilities of success when applying different generic and specific innovations in tra…
Partial *-Algebras of Operators in a PIP-Space
2009
The family of operators on a pip-space V is endowed with two, possibly different, partial multiplications, where partial means that the multiplication is not defined for any pair A,B of elements of Op(V) but only for certain couples. The two multiplications, to be called strong and weak, give rise to two different structures that coincide in certain situations. In this chapter we will discuss first the structure of Op(V) as partial *-algebra in the sense of [AIT02] and then the possibility of representing an abstract partial *-algebra into Op(V).
Binary jumbled string matching for highly run-length compressible texts
2012
The Binary Jumbled String Matching problem is defined as: Given a string $s$ over $\{a,b\}$ of length $n$ and a query $(x,y)$, with $x,y$ non-negative integers, decide whether $s$ has a substring $t$ with exactly $x$ $a$'s and $y$ $b$'s. Previous solutions created an index of size O(n) in a pre-processing step, which was then used to answer queries in constant time. The fastest algorithms for construction of this index have running time $O(n^2/\log n)$ [Burcsi et al., FUN 2010; Moosa and Rahman, IPL 2010], or $O(n^2/\log^2 n)$ in the word-RAM model [Moosa and Rahman, JDA 2012]. We propose an index constructed directly from the run-length encoding of $s$. The construction time of our index i…
Rates of convergence to equilibrium for collisionless kinetic equations in slab geometry
2017
This work deals with free transport equations with partly diffuse stochastic boundary operators in slab geometry. Such equations are governed by stochastic semigroups in $L^{1}$ spaces$.\ $We prove convergence to equilibrium at the rate $O\left( t^{-\frac{k}{2(k+1)+1}}\right) \ (t\rightarrow +\infty )$ for $L^{1}$ initial data $g$ in a suitable subspace of the domain of the generator $T$ where $k\in \mathbb{N}$ depends on the properties of the boundary operators near the tangential velocities to the slab. This result is derived from a quantified version of Ingham's tauberian theorem by showing that $F_{g}(s):=\lim_{\varepsilon \rightarrow 0_{+}}\left( is+\varepsilon -T\right) ^{-1}g$ exists…
On eleven-dimensional supergravity and chern?SIMONS Theory
2012
We probe in some depth into the structure of eleven-dimensional, osp(32|1)-based Chern-Simons supergravity, as put forward by Troncoso and Zanelli (TZ) in 1997. We find that the TZ Lagrangian may be cast as a polynomial in 1/l, where l is a length, and compute explicitly the first three dominant terms. The term proportional to 1/l^9 turns out to be essentially the Lagrangian of the standard 1978 supergravity theory of Cremmer, Julia and Scherk, thus establishing a previously unknown relation between the two theories. The computation is nontrivial because, when written in a sufficiently explicit way, the TZ Lagrangian has roughly one thousand non-explicitly Lorentz-covariant terms. Specially…
Health/Nutrition food claims and low-fat food purchase: Projected personality influence in young consumers
2017
Abstract Health/nutrition food claims are increasingly used in the food industry but firms still require deeper research to develop a better understanding of consumers in the low-fat food market. In pursuit of this goal, this paper analyses the influence of projected consumer personality on healthy claim credibility, Perceived product health, physical appearance and its repercussion on attitudes (overall attitude to the product) and behaviours (purchase intention). With a sample of 300 young consumers (15–25 years old) and through PLS techniques, our results show that project personality influences the credibility of claims about healthiness and physical appearance. Both concepts play a sig…
Expressive compounds in German
2013
German adjectival and nominal compounds like ratten+scharf (‘rat sharp’) sau+schlecht, (‘sow bad’) Hammer+auftritt (‘hammer performance’), Arsch+gesicht (‘arse face’) contain meliorative or pejorative elements as part of their structure. The left-hand evaluative members of these compounds are usually considered as so-called semi-prefixes. Contrary to recent approaches within constructional morphology ( Booij 2009 , 2010 ), I will argue that these elements are still lexemes, but that they have undergone metaphorical extension. Evidence stems from the consideration of right-hand members like Kommunisten+schwein (‘communist pig’), which have never been considered as semi-suffixes in a similar…
Static and dynamic interaction betweenπanddelectrons in organic superconductorβ″-(BEDT-TTF)4[(H3O)Fe(C2O4)3]·C6H5Brstudied byC13NMR spectroscopy
2016
We present the results of $^{13}\mathrm{C}$ NMR experiments in an organic superconductor with localized Fe spins ${\ensuremath{\beta}}^{\ensuremath{''}}\ensuremath{-}{(\text{BEDT-}\mathrm{TTF})}_{4}[({\mathrm{H}}_{3}\mathrm{O})\mathrm{Fe}{({\mathrm{C}}_{2}{\mathrm{O}}_{4})}_{3}]\ifmmode\cdot\else\textperiodcentered\fi{}{\mathrm{C}}_{6}{\mathrm{H}}_{5}\mathrm{Br}$. We reveal the antiferromagnetic coupling between Fe $d$ spins and $\ensuremath{\pi}$ spins, which creates an exchange field antiparallel to the external field direction at the $\ensuremath{\pi}$ electrons. In addition to the static effects of Fe spins, we show from the nuclear spin-lattice relaxation rate measurement that the magn…
The doodle of a finitely determined map germ from R2 to R3
2009
Let f:U⊂R2→R3 be a representative of a finitely determined map germ f:(R2,0)→(R3,0). Consider the curve obtained as the intersection of the image of the mapping f with a sufficiently small sphere Sϵ2 centered at the origin in R3, call this curve the associated doodle of the map germ f. For a large class of map germs the associated doodle has many transversal self-intersections. The topological classification of such map germs is considered from the point of view of the associated doodles.