Let G be a finite group. We consider the question: what are the superstable and co-stable abelian-by-G groups? (We consider these as structures in a suitable first order language, see § 1). We see that it is equivalent to ask: what are the superstable and co-stable Z[G]-modules? If we wish our answer to be such as to provide, at least in principle, some sort of uniform listing of all the (say) ...

The discrete wavelet transform (DWT) is being increasingly used for image coding 3D-DWT provides interesting possibilities and has been studied to resolve the problem associated with compression of large size images. However, the main issue of concern is preserving more details in the enlarged image. On the problem that the hardware overhead in architecture for Convolution based DWT wastes a lo...

determination of thespanwise variation of moment distribution and indicates that the effect of finite span modifies the zero lift properties which the two-dimensional theory predicts. It is thought that the idea underlying the proposed two-equation procedure, which may be extended to an n-equation procedure, will also be useful in other problems of lifting-surface theory. Summary.-The steady mo...

The quadratic assignment problem (QAP ) is arguably one of the hardest of the NP-hard discrete optimization problems. Problems of dimension greater than 20 are considered to be large scale. Current successful solution techniques depend on branch and bound methods. However, it is difficult to get strong and inexpensive bounds. In this paper we introduce a new semidefinite programming (SDP ) rela...

Synonyms Indices i = orders j = productstock tanks s = products k = components l = component tanks n = event points Sets I = orders Ij = orders which can be performed in productstock tank j Is = orders which order product s J = productstock tanks Ji = productstock tanks which are suitable for performing order i Js = productstock tanks which can store product s N = event points within the time h...

The concept of property is integral to personal and societal development, yet understanding of the cognitive basis of ownership is limited. Objects are the most basic form of property, so our physical interactions with owned objects may elucidate nuanced aspects of ownership. We gave participants a coffee mug to decorate, use and keep. The experimenter also designed a mug of her own. In Experim...

Hartvigsen, D. and E. Zemel, The complexity of lifted inequalities for the knapsack problem, Discrete Applied Mathematics 39 (1992) 11. 123. It is well known that one can obtain facets and valid inequalities for the knapsack polytope by lifting simple inequalities associated with minimal covers. We study the complexity of lifting. We show that recognizing integral lifted facets or valid inequal...