15 research outputs found
APPLICATION OF ANALYTIC HIERARCΗY PROCESS IN THE SELECTION OF THE OPTIMUM PLACEMENT OF A DAM AT THE AREA OF LIVADI, LARISSA PREFECTURE/ GREECE. COMPARISON WITH THE COMPROMISE PROGRAMMING
Στην παρούσα εργασία εξετάζεται η επιλογή της βέλτιστης θέσης κατασκευής ενός φράγματος στην περιοχή Λιβαδίου Λαρίσης. Η μέθοδος που χρησιμοποιείται για την επίλυση αυτού του προβλήματος είναι η AHP (Analytic Hierarchy Process). Εξετάζονται οι λόγοι για τους οποίους επιλέχθηκε αυτή η μέθοδος, αναλύεται το θεωρητικό της υπόβαθρο και με τη χρήση προγράμματος της Visual Fortran εφαρμόζεται στη συγκεκριμένη περιοχή. Τα αποτελέσματα της ΑΗΡ συγκρίνονται με τα αποτελέσματα του Συμβιβαστικού Προγραμματισμού που είχε εφαρμοστεί στην ίδια περιοχή από τους ίδιους συγγραφείς.In this paper the selection of the optimum area for the construction of a dam within the region of Livadi, Larisa Prefecture/Greece is investigated. The method used is the Analytic Hierarchy Process (AHP). The reasons for the selection of this method are investigated, its theoretical background is analyzed and using a Visual Fortran computer programme, the method is applied in the study area. The results are compared with the ones of the Compromise programming, which had been applied previously in the same area from the same authors
Paths of zeros of analytic functions describing finite quantum systems.
yesQuantum systems with positions and momenta in Z(d) are described by the d zeros of analytic functions on a torus. The d paths of these zeros on the torus describe the time evolution of the system. A semi-analytic method for the calculation of these paths of the zeros is discussed. Detailed analysis of the paths for periodic systems is presented. A periodic system which has the displacement operator to a real power t, as time evolution operator, is studied. Several numerical examples, which elucidate these ideas, are presented
Analytic representations with theta functions for systems on ℤ(d) and on .
yesAn analytic representation with Theta functions on a torus, for systems with variables in ℤ(d),
is considered. Another analytic representation with Theta functions on a strip, for systems with
positions in a circle S and momenta in Z, is also considered. The reproducing kernel formalism for these two systems is studied. Wigner and Weyl functions in this language, are also studied
Modulational instability in a fiber soliton ring laser induced by periodic dispersion variation
Modulational instability with sideband generation is experimentally observed in a passively mode-locked fiber soliton ring laser. We show numerically that this modulational instability is induced by the periodic dispersion variation experienced by light circulating in the laser cavity. Modulational instability caused by cross-phase-modulation is also observed in the laser and confirmed numerically
Electromagnetic Meson Production in the Nucleon Resonance Region
Recent experimental and theoretical advances in investigating electromagnetic
meson production reactions in the nucleon resonance region are reviewed.Comment: 75 pages, 42 figure
A theoretical foundation for multi-scale regular vegetation patterns
Self-organized regular vegetation patterns are widespread and thought to mediate ecosystem functions such as productivity and robustness, but the mechanisms underlying their origin and maintenance remain disputed. Particularly controversial are landscapes of overdispersed (evenly spaced) elements, such as North American Mima mounds, Brazilian murundus, South African heuweltjies, and, famously, Namibian fairy circles. Two competing hypotheses are currently debated. On the one hand, models of scale-dependent feedbacks, whereby plants facilitate neighbours while competing with distant individuals, can reproduce various regular patterns identified in satellite imagery. Owing to deep theoretical roots and apparent generality, scale-dependent feedbacks are widely viewed as a unifying and near-universal principle of regular-pattern formation despite scant empirical evidence. On the other hand, many overdispersed vegetation patterns worldwide have been attributed to subterranean ecosystem engineers such as termites, ants, and rodents. Although potentially consistent with territorial competition, this interpretation has been challenged theoretically and empirically and (unlike scale-dependent feedbacks) lacks a unifying dynamical theory, fuelling scepticism about its plausibility and generality. Here we provide a general theoretical foundation for self-organization of social-insect colonies, validated using data from four continents, which demonstrates that intraspecific competition between territorial animals can generate the large-scale hexagonal regularity of these patterns. However, this mechanism is not mutually exclusive with scale-dependent feedbacks. Using Namib Desert fairy circles as a case study, we present field data showing that these landscapes exhibit multi-scale patterning-previously undocumented in this system-that cannot be explained by either mechanism in isolation. These multi-scale patterns and other emergent properties, such as enhanced resistance to and recovery from drought, instead arise from dynamic interactions in our theoretical framework, which couples both mechanisms. The potentially global extent of animal-induced regularity in vegetation-which can modulate other patterning processes in functionally important ways-emphasizes the need to integrate multiple mechanisms of ecological self-organization