Approximate Evaluation of Double Probability Integrals... |
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½ a² ½ t² ½ x² 2xt+t² A₁ A₂ a²+3 a²+g a²+g² a²+t² a²+t2 dt a²+tz apply lemma approximate formula arctan ascending powers b-acos bivariate normal surface Chapter I possess consider D₂ degree of Doctor Doctor of Philosophy dodu dt domain of integration dt dy dtdy dvdu dy dx enveloping series evaluating expanding finding the volume g(x+t G₁ H₁ infinite triangle integral is enveloped integrating term intervals lemma mathematical induction Nicholson numerical integration Olunl parallelogram ply-k Polya[7 Professor G prove the fol quarter plane reduce the number remainder right triangle series converges Sheppard SP(u substitution surface of revolution t-rx tends to zero term by term Theorem three entries Ux q vertex x-axis x-pk x,y-plane x³dx xcot y-axis remain unchanged źt² Δι مر ھر शा