Motivated by the ongoing discussion about a seeming asymmetry in the performance of fermionic and bosonic replicas, we present an exact, nonperturbative approach to both fermionic and bosonic zero-dimensional replica field theories belonging to the broadly interpreted beta=2 Dyson symmetry class. We then utilize the formalism developed to demonstrate that the bosonic replicas do correctly repro...

In a t/t-diagnosable system all faulty units can be located to within a set of no more than t units as long as the number of faulty units present does not exceed t. Furthermore, a unique doubtful unit can be identified; in other words, all faulty units, except possibly for one, can be correctly identified in a U-diagnosable system. An open question is "is t/t-diagnosability necessary for correc...

A male infant was born by emergency caesarean section at 34(+4) weeks for failed induction of labour. Shortly after birth a depression about the same size as the baby's fist was noted over the right parietal region. After careful consideration of the perinatal history and examination findings, the baby was diagnosed with faulty fetal packing. At 3-month follow-up, the defect had completely corr...

Samuel Kotz University of Maryland Some heuristic tests for detection of existence of errors in inspection are proposed. Some of these tests are only effective if the sampling function ((sample size)/(lot size)) is rather large, and in all cases their application predicates special experiments to provide the requisite data. Feasibility of these experiments will vary according to specific circum...

A group protocol is a protocol whereby the group participants securely exchange information in order to achieve a common goal or application, e.g. agreeing on a contract or on a session key. Groups are typically dynamic and relatively small in size, of the order of a hundred members [2]. To enable dynamic changes to group constitution, a group protocol may be defined by several sub-protocols fo...

In this paper we propose a method for constructing the maximum number of edge-disjoint spanning trees (in the directed sense) on a hypercube with arbitrary one faulty node. Each spanning tree is of optimal height. By taking the common neighbor of the roots of these edge-disjoint spanning trees as the new root and reversing the direction of the directed link from each root to the new root, a spa...