We give new sets of sequences with entries from {O, ±a, ±b, ±c, ±d} on the commuting variables a, b, c, d and zero autocorrelation function. Then we use these sequences to construct some new orthogonal designs. This means that for order 28 only the existence of the following five cases, none of which is ruled out by known theoretical results, remain in doubt: OD(28; I, 4, 9, 9), OD(28; I, 8, 8,...

Some new amicable orthogonal designs of order 8 are found as part of a complete search of the equivalence classes for orthogonal designs OD(8; 1, 1, 1, 1), OD(8; 1, 1, 1, 4), OD(8; 1, 1, 2, 2), OD(8; 1, 1, 1, 2), OD (8; 1, 1, 2, 4), OD(8; 1, 1, 1, 3), OD(8; 1, 1, 2, 3), OD(8; 1, 1, 1, 5) and OD(8; 1, 1, 3, 3). 2000 Mathematics subject classification (Amer. Math. Soc.): 05B30, 15A36.

The problem of estimating and predicting Origin-Destination (OD) tables is known to be important and difficult. In the specific context of Intelligent Transportation Systems (ITS), the dynamic nature of the problem and the real-time requirements make it even more intricate. We consider here a least-square modeling approach for solving the OD estimation and prediction problem, which seems to off...

Fear of crime as a concept has been present in criminological literature for quite some time. Numerous researches have been undertaken in order to explain this phenomenon, but still, it remains unclear what exactly represents this concept. Because of this, the expert working in the Þ eld of crime prevention have been having difÞ culties in creating successful preventive programs of fear of crim...

A Proof and derivation of manifold-related ingredients The concrete computations of the optimization-related ingredients presented in the paper are discussed below. The total space is M := St(r1, n1) × St(r2, n2) × St(r3, n3) × Rr1×r2×r3 . Each element x ∈ M has the matrix representation (U1,U2,U3,G). Invariance of Tucker decomposition under the transformation (U1,U2,U3,G) 7→ (U1O1,U2O2,U3O3,G×...