Mathc initiation/a537

Un livre de Wikilivres.


Sommaire


Installer ce fichier dans votre répertoire de travail.

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