Psychological consumption of culinary artistry in the Peak District

This paper is based upon the culture of culinary artistry, consumption and design. The ranges of sources are specific to The Peak District using Chatsworth House as a case study. It will attempt to conceptualise the heritage, sustainability and perception of culinary arts as a medium of culture. Elements of cultural heritage tourism will be incorporated into this paper and conceptualised to culinary arts. “Culture is a fascinating concept. Our favourite analogy is to compare it to a beautiful jewel – hold it to the light, and reveal its multiple dimensions. Culture is not just a tool for coping, but a means for creating awareness and for learning”. Harris and Moran (2001) Data collected through in-depth interviews, a questionnaire survey and observation will be presented and analysed which seeks to address the practical aspects to the theoretical models. The qualitative analysis of data suggests that there are parameters that have an important yet underlying resonance in the consumption of the product; cognition, perception and psychology. The fundamental feature of common sense psychology is the underlying belief system that underlies peoples overt behaviour are causes and that it is these causal patterns and NOT the way in which an activity is performed that represents the ‘real’ meaning of what people do. Initial research highlighted attribution theory as the underlying elements or associated discourses and is supported by Lewis (2006) who highlights Hofstedes definition of culture as the collective programming of the mind that distinguishes one member from the other. A more simplified definition highlighted by Baron and Byrne (2000) defines culture as an organized system of shared meanings, perception and beliefs held by persons belonging to any group. This ‘cultural sensitivity’ is enhanced by utilising its resources to understand the perception and behaviours influenced by the cultural values (organized system or collective programming) of the host and guest (Wood and Botherton 2008)

Popular Matchings in Complete Graphs

Our input is a complete graph $G = (V,E)$ on $n$ vertices where each vertex has a strict ranking of all other vertices in $G$. Our goal is to construct a matching in $G$ that is popular. A matching $M$ is popular if $M$ does not lose a head-to-head election against any matching $M'$, where each vertex casts a vote for the matching in $\{M,M'\}$ where it gets assigned a better partner. The popular matching problem is to decide whether a popular matching exists or not. The popular matching problem in $G$ is easy to solve for odd $n$. Surprisingly, the problem becomes NP-hard for even $n$, as we show here.Comment: Appeared at FSTTCS 201

Multichannel dynamical symmetry and cluster-coexistence

A composite symmetry of the nuclear structure, called multichannel dynamical symmetry is established. It can describe different cluster configurations (defined by different reaction channels) in a unified framework, thus it has a considerable predictive power. The two-channel case is presented in detail, and its conceptual similarity to the dynamical supersymmetry is discussed.Comment: published in Phys. Rev. C 87,067301 (2013

Quartet excitations and cluster spectra in light nuclei

The relation of quarteting and clustering in atomic nuclei is discussed based on symmetry-considerations. This connection enables us to predict a complete high-energy cluster spectrum from the description of the low-energy quartet part. As an example the $^{28}$Si nucleus is considered, including its well-established ground-state region, the recently proposed superdeformed band, and the high-lying molecular resonances

Novel and simple description for a smooth transition from α\alpha-cluster wave functions to jjjj-coupling shell model wave functions

We propose an improved version of Antisymmetrized Quasi-Cluster Model (AQCM) to describe a smooth transition from the $\alpha$-cluster wave function to the $jj$-coupling shell model wave function and apply it to the ground state of $^{12}$C. The cluster-shell transition in $^{12}$C is characterized in AQCM by only two parameters: $R$ representing the distance between $\alpha$ clusters and the center of mass, and $\Lambda$ describing the break of $\alpha$ clusters. The optimal AQCM wave function for the ground state of $^{12}$C is an intermediate state between the three-$\alpha$ cluster state and the shell model state with the $p_{3/2}$ subshell closure configuration. The result is consistent with that of the Antisymmetrized Molecular Dynamics (AMD), and the optimal AQCM wave function quantitatively agrees with the AMD one, although the number of degrees of freedom in AQCM is significantly fewer.Comment: 11 pages, 6 figure

The Stable Roommates problem with short lists

We consider two variants of the classical Stable Roommates problem with Incomplete (but strictly ordered) preference lists (sri) that are degree constrained, i.e., preference lists are of bounded length. The first variant, egald-sri, involves finding an egalitarian stable matching in solvable instances of sri with preference lists of length at most d. We show that this problem is NP-hard even if d = 3. On the positive side we give a 2d+372d+37-approximation algorithm for d ∈{3,4,5} which improves on the known bound of 2 for the unbounded preference list case. In the second variant of sri, called d-srti, preference lists can include ties and are of length at most d. We show that the problem of deciding whether an instance of d-srti admits a stable matching is NP-complete even if d = 3. We also consider the “most stable” version of this problem and prove a strong inapproximability bound for the d = 3 case. However for d = 2 we show that the latter problem can be solved in polynomial time