Mihai Caragiu

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For any odd prime power q we first construct a certain non-linear binary code C(q, 2) having (q − q)/2 codewords of length q and weight (q − 1)/2 each, for which the Hamming distance between any two distinct codewords is in the range [q/2 − 3√q/2, q/2 + 3√q/2] that is, ‘almost constant’. Moreover, we prove that C(q, 2) is distance-invariant. Several(More)
The multilayer relaxation of the stepped Cu(5 1 1) surface has been studied by quantitative low-energy electron diffraction and analyzed using the CLEED program package. Relaxations with respect to the bulk interlayer spacing of 0.6934 Å are -9.5%, -10.4%, +8.2% and -1.8% for the first four interlayer spacings, respectively (negative sign corresponds to(More)
We prove an intermediate value theorem of an arithmetical flavor, involving the consecutive averages {x̄n}n≥1 of sequences with terms in a given finite set {a1, ..., ar}. For every such set we completely characterize the numbers Π (”intermediate values”) with the property that the consecutive averages {x̄n} of every sequence {xn}n≥1 with terms in {a1, ...,(More)
Both Fibonacci and Lucas numbers can be described combinatorially in terms of 0− 1 strings without consecutive ones. In the present article we explore the occupation numbers as well as the correlations between various positions in the corresponding configurations. (2000) Mathematics Subject Classification: 11B39, 05A15
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