By Professor Dr. Alexei Gvishiani, Professor Dr. Jacques Octave Dubois (auth.)
The booklet offers new clustering schemes, dynamical platforms and trend popularity algorithms in geophysical, geodynamical and ordinary possibility purposes. the unique mathematical process relies on either classical and fuzzy units types. Geophysical and normal risk purposes are in general unique. although, the unreal intelligence method defined within the publication may be utilized a ways past the boundaries of Earth technology functions. The publication is meant for learn scientists, tutors, graduate scholars, scientists in geophysics and engineers
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Additional info for Artificial Intelligence and Dynamic Systems for Geophysical Applications
The nearer the sources inside the Earth =::::}I more similar way to t he stat ion should make the signals produced by the sources =::::} 2 more similar corresponding seismograms should be. This apparent simp lification is bas ed on the model of continui ty, which can be not true in many special cases. In particu lar , except dist ance between locations other important features of the sources can differ : source mechanisms, magnitudes, et c, and the seismograms from very elose event s can differ significantly.
L(Sn+1, s). 61 , p,( x , S,t n+! is a possibility of the fact that in the moment of time t n +! the signal S will arrive from x . e. Sn+1 and s. We are interested in S = Sn+1. 62 ) op en s new opp ortuniti es in the pr oblem of SOD(sn+d ca lculat ions. These opportunities come from th e theory of functions: st ep fun ction s, ty pe of approxirna t ion to moment of time t n + 1 , etc . 34 Dynamic Classification Approach Coneluding , we can formu late that the basis of wh at has been said in this chapter is aetually the following chain of im plications.
L( X, x) in t he region. We fix the pair (x , s) . 60) descr ibes the calculations on "k" cones KT2,T3(Xi, Si) , introduced above. l(t ,ti) of th e cones depend on t . Ind eed, the farer an event (Xi, Si ) is from the moment "t", the smaller weigh t this event has . Thus, we have a function on [t ,tn+d with th e steps in t he points t z , " ', tn, becau se in th ese moments of t ime th e information ex te nsion (Xi,Si) I~ +(Xk+1 , Sk+! ) t akes place . Let us now do the calculations in the moment of ti me t n +1 • Here we have information onl y about t he signal Sn+1' Sin ce we cannot add t he cone K n+!
Artificial Intelligence and Dynamic Systems for Geophysical Applications by Professor Dr. Alexei Gvishiani, Professor Dr. Jacques Octave Dubois (auth.)