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2007 Sep 22
0
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...ubdivisions=1000000)$value) )) } gr<-function(u){ k1<-u[1] k2<-u[2] k12<-u[3] g<-u[4] grad1<-sum(integrate(function(y)integrate(function(a)(cos(x)-cos(a))*exp(k2*cos(y)+(k1+k12*cos(y))*cos(a)),subdivisions=10000000,-pi,pi)$value,subdivisions=10000000,g,pi)$value) grad2<-sum(integral(function(y)cos(y)*exp((k2+k12*cos(x))*cos(y)),subdivisions=10000000,g,pi)$value*integrate(function(y)besselI(k1+k12*cos(y),0)*exp(k2*cos(y)),subdivisions=10000000,g,pi)$value-integrate(function(y)exp((k2+k12*cos(x))*cos(y)),subdivisions=10000000,g,pi)$value*integrate(function(y)bes...