# Mathc initiation/a556

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| | fb.h /* --------------------------------- */ /* save as fb.h */ /* --------------------------------- */ #define LOOP 2*300 /* --------------------------------- */ double s = .6; /* --------------------------------- */ double F( double t) { return( (t) ); } char Feq = "t"; /* --------------------------------- */ double tF( double t) { return( (t *t) ); } char tFeq = "t *t"; /* --------------------------------- */ /* --------------------------------- Laplace transform of F(t) --------------------------------- */ double f( double s) { return((1./(s*s))); } char feq = "(1/s^2)"; /* --------------------------------- */ double f_s( double s) { return( -1. *(-2./pow(s,3)) ); } char f_seq = "-1*(-2/s**3)"; char f2seq = "2/s**3"; /* ---------------------------------- */ /* ---------------------------------- */ double b = 100.; char beq = "100"; double a = 0.; char aeq = "0"; /* ---------------------------------- */ /* ---------------------------------- */ char Mathematica_eq = "integrate exp(-s *t) * (t *t) dt" " from t=0 to infinity"; /* --------------------------------- */ /* --------------------------------- */ |
| fc.h /* --------------------------------- */ /* save as fc.h */ /* --------------------------------- */ #define LOOP 2*300 /* --------------------------------- */ double s = 1./2.; /* --------------------------------- */ double F( double t) { return( pow(t,2) ); } char Feq = "t**2"; /* --------------------------------- */ double tF( double t) { return( (t *pow(t,2)) ); } char tFeq = "t *t**2"; /* --------------------------------- */ /* --------------------------------- Laplace transform of F(t) --------------------------------- */ double f( double s) { return( 2./pow(s,3)); } char feq = "(2/s^3)"; /* ---------------------------------- */ double f_s( double s) { return( -1. *(-6./pow(s,4)) ); } char f_seq = "-1 *(-6/s^4)"; char f2seq = "6/s^4"; /* ---------------------------------- */ /* ---------------------------------- */ double b = 100.; char beq = "100"; double a = 0.; char aeq = "0"; /* ---------------------------------- */ /* ---------------------------------- */ char Mathematica_eq = "integrate e**(-s*t)*(t *t^2) dt" " from t=0 to infinity"; /* ---------------------------------- */ /* ---------------------------------- */ | fd.h /* --------------------------------- */ /* save as fd.h */ /* --------------------------------- */ #define LOOP 2*300 /* --------------------------------- */ double s = 1./2.; /* --------------------------------- */ double F( double t) { return( pow(t,3) ); } char Feq = "t**3"; /* --------------------------------- */ double tF( double t) { return( (t *pow(t,3)) ); } char tFeq = "t *t**3"; /* --------------------------------- */ /* --------------------------------- Laplace transform of F(t) --------------------------------- */ double f( double s) { return( 6./pow(s,4)); } char feq = "6/s^4"; /* ---------------------------------- */ double f_s( double s) { return( -1. *(-24./pow(s,5))); } char f_seq = "-1 *(-24/s^5)"; char f2seq = "24/s^5"; /* ---------------------------------- */ /* ---------------------------------- */ double b = 100.; char beq = "100"; double a = 0.; char aeq = "0"; /* ---------------------------------- */ /* ---------------------------------- */ char Mathematica_eq = "integrate e**(-s*t)*(t *t^3) dt" " from t=0 to infinity"; /* ---------------------------------- */ /* ---------------------------------- */ |
| fe.h /* --------------------------------- */ /* save as fe.h */ /* --------------------------------- */ #define LOOP 2*300 /* --------------------------------- */ double s = 1./2.; /* --------------------------------- */ double F( double t) { return( (pow(t,4)) ); } char Feq = "t**4"; /* --------------------------------- */ double tF( double t) { return( t *(pow(t,4)) ); } char tFeq = "t *t**4"; /* --------------------------------- */ /* --------------------------------- Laplace transform of F(t) --------------------------------- */ double f( double s) { return(24./pow(s,5)); } char feq = "(24/s^5)"; /* ---------------------------------- */ double f_s( double s) { return( -1 *(-120/pow(s,6))); } char f_seq = "-1 *(-120/s^6)"; char f2seq = "120/s^6"; /* ---------------------------------- */ /* ---------------------------------- */ double b = 100.; char beq = "100"; double a = 0.; char aeq = "0"; /* ---------------------------------- */ /* ---------------------------------- */ char Mathematica_eq = "integrate e**(-s*t)*(t *t**4) dt" " from t=0 to infinity"; /* ---------------------------------- */ /* ---------------------------------- */ | ff.h /* --------------------------------- */ /* save as ff.h */ /* --------------------------------- */ #define LOOP 2*300 /* --------------------------------- */ double s = 1./4.; /* --------------------------------- */ double F( double t) { return( (sin(t)) ); } char Feq = "sin(t)"; /* --------------------------------- */ double tF( double t) { return( (t *sin(t)) ); } char tFeq = "t *sin(t)"; /* --------------------------------- */ /* --------------------------------- Laplace transform of F(t) --------------------------------- */ double f( double s) { return((1./(s*s+1.))); } char feq = "(1/(s^2+1))"; /* ---------------------------------- */ double f_s( double s) { return( -1 *(-(2*s)/pow(pow(s,2)+1,2)) ); } char f_seq = "-1 -(2 s)/(s^2+1)^2"; char f2seq = "(2 s)/(s^2+1)^2"; /* ---------------------------------- */ /* ---------------------------------- */ double b = 100.; char beq = "100"; double a = 0.; char aeq = "0"; /* ---------------------------------- */ /* ---------------------------------- */ char Mathematica_eq = "integrate e**(-s*t)*(t *sin(t)) dt" " from t=0 to infinity"; /* ---------------------------------- */ /* ---------------------------------- */ |
| fg.h /* --------------------------------- */ /* save as fg.h */ /* --------------------------------- */ #define LOOP 2*300 /* --------------------------------- */ double s = 1./4.; /* --------------------------------- */ double F( double t) { return( (cos(t)) ); } char Feq = "cos(t)"; /* --------------------------------- */ double tF( double t) { return( (t *cos(t)) ); } char tFeq = "t *cos(t)"; /* --------------------------------- */ /* --------------------------------- Laplace transform of F(t) --------------------------------- */ double f( double s) { return((s/(pow(s,2)+1.))); } char feq = "(s/(s^2+1))"; /* ---------------------------------- */ double f_s( double s) { return( -1 *(-(pow(s,2)-1)/pow(pow(s,2)+1,2)) ); } char f_seq = "-1 -(s^2-1)/(s^2+1)^2"; char f2seq = "(s^2-1)/(s^2+1)^2"; /* ---------------------------------- */ /* ---------------------------------- */ double b = 100.; char beq = "100"; double a = 0.; char aeq = "0"; /* ---------------------------------- */ /* ---------------------------------- */ char Mathematica_eq = "integrate e**(-s*t)*(t *cos(t)) dt" " from t=0 to infinity"; /* ---------------------------------- */ /* ---------------------------------- */ | fh.h /* --------------------------------- */ /* save as fh.h */ /* --------------------------------- */ #define LOOP 2*300 /* --------------------------------- */ double s = 2.; /* --------------------------------- */ double F( double t) { return( (sinh(t)) ); } char Feq = "sinh(t)"; /* --------------------------------- */ double tF( double t) { return( (t *sinh(t)) ); } char tFeq = "t *sinh(t)"; /* --------------------------------- */ /* --------------------------------- Laplace transform of F(t) --------------------------------- */ double f( double s) { return((1/(pow(s,2)-1.))); } char feq = "(1/(s^2-1))"; /* ---------------------------------- */ double f_s( double s) { return( -1 *(-(2*s)/pow(pow(s,2)-1,2) ) ); } char f_seq = "-1 *(-(2 s)/(s^2-1)^2)"; char f2seq = "(2 s)/(s^2-1)^2"; /* ---------------------------------- */ /* ---------------------------------- */ double b = 100.; char beq = "100"; double a = 0.; char aeq = "0"; /* ---------------------------------- */ /* ---------------------------------- */ char Mathematica_eq = "integrate e**(-s*t)*(t *sinh(t)) dt" " from t=0 to infinity"; /* ---------------------------------- */ /* ---------------------------------- */ |
| fi.h /* --------------------------------- */ /* save as fi.h */ /* --------------------------------- */ #define LOOP 2*300 /* --------------------------------- */ double s = 2.; /* --------------------------------- */ double F( double t) { return( (cosh(t)) ); } char Feq = "cosh(t)"; /* --------------------------------- */ double tF( double t) { return( (t *cosh(t)) ); } char tFeq = "t *cosh(t)"; /* --------------------------------- */ /* --------------------------------- Laplace transform of F(t) --------------------------------- */ double f( double s) { return( s/(pow(s,2)-1)); } char feq = "(s/(s^2-1))"; /* ---------------------------------- */ double f_s( double s) { return( -1 *(-(pow(s,2)+1)/pow(pow(s,2)-1,2)) ); } char f_seq = "-1 -(s^2+1)/(s^2-1)^2"; char f2seq = "(s^2+1)/(s^2-1)^2"; /* ---------------------------------- */ /* ---------------------------------- */ double b = 100.; char beq = "100"; double a = 0.; char aeq = "0"; /* ---------------------------------- */ /* ---------------------------------- */ char Mathematica_eq = "integrate e**(-s*t)*(t *cosh(t)) dt" " from t=0 to infinity"; /* ---------------------------------- */ /* ---------------------------------- */ | fj.h /* --------------------------------- */ /* save as fj.h */ /* --------------------------------- */ #define LOOP 2*300 /* --------------------------------- */ double s = 3.; /* --------------------------------- */ double F( double t) { return( (exp(t)) ); } char Feq = "exp(t)"; /* --------------------------------- */ double tF( double t) { return( (t *exp(t)) ); } char tFeq = "t *exp(t)"; /* --------------------------------- */ /* --------------------------------- Laplace transform of F(t) --------------------------------- */ double f( double s) { return((1/(s-1.))); } char feq = "1/(s-1)"; /* ---------------------------------- */ double f_s( double s) { return( -1 *(-1/pow(s-1,2)) ); } char f_seq = "-1 (-1/(s-1)^2)"; char f2seq = "1/(s-1)^2"; /* ---------------------------------- */ /* ---------------------------------- */ double b = 100.; char beq = "100"; double a = 0.; char aeq = "0"; /* ---------------------------------- */ /* ---------------------------------- */ char Mathematica_eq = "integrate exp(-s *t) * (t *exp(t)) dt" " from t=a to infinity"; /* --------------------------------- */ /* ---------------------------------- */ |