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On weight enumerators and MacWilliams identity for convolutional codes

Convolutional codes are defined to be equivalent if their code symbols differ only in how they are ordered and two generator matrices are defined to be weakly equivalent (WE) if they encode equivalent convolutional codes. It is shown that tailbiting convolutional codes encoded by WE minimal-basic generator matrices have the same spectra. Shearer and McEliece showed that MacWilliams identity does n

Hyperfine structure in the sequence of sodium S states

The hyperfine structure for the 6, 7 and 8 2 S 1/2 states of 23 Na was measured by optical double-resonance techniques. The states were populated by step-wise excitation using two CW dye lasers. For the dipole interaction constant a, a(6 2 S 1/2 ) = 37.5(2) MHz, a(7 2 S 1/2 )=20.9(1) MHz, a(8 2 S 1/2 )=12.85(10) MHz. were obtained. Theoretical calculations of the hyperfine structure were performed

Five Facets of Mindfulness Questionnaire: Reliability and factor structure: A Swedish version

Two studies were conducted to assess the Swedish version of the Five Facets Mindfulness Questionnaire (FFMQ) originally created by Baer et al. (2006). The aim of Study 1 was to examine the psychometric properties of the FFMQ using data from 498 individuals. Quantitative and qualitative analyses resulted in a reduction of the scale by ten items. Psychometric properties, including internal consisten

Shoreline response to detached breakwaters and tidal current : comparison of mumerical and physical models

Shoreline response behind a detached breakwater and at a T-head groin observed in a large-scale physical model was validated with an updated GENESIS model. A new total load longshore sediment transport rate formula, introduced in this paper, was developed and incorporated in GENESIS to address engineering predictive requirements at coastal inlets. The relationship represents the contribution from

Beyond Methodology. The problematic concept of implementing methodology - the case of social welfare evaluation in Sweden

When discussing choice of methodology in evaluation studies, it is wise to reflect upon organizational considerations concerning contracting, conducting and utilization. Based upon research conducted among social workers in Sweden this paper focuses upon possibilities and problems in knowledge dissemination and usage. Powerful institutions in Sweden are now encouraging knowledge development of soc

Scattering Studies of Macromolecules in Solution

The sphere-to-rod transition of nonionic micelles of the PEO-PPO-PEO triblock copolymer P123 and the surfactant C12EO6 was studied using dynamic and static light scattering, small angel X-ray scattering, rheology and calorimetry. The transition temperature was dependent of the C12EO6/P123 molar ratio, which means that a larger content of C12EO6 yields a higher transition temperature. Furthermore,