Revision 596 trunk/contrib/ecolib/Michaelis_Menten1.cpp
Michaelis_Menten1.cpp (revision 596)  

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\param x independent variable; data scalar 
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\param a ; differentiable scalar 
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\param b ; differentiable scalar 
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\return \f$ \f$


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\return \f$ \frac{ax}{b+x} \f$


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\ingroup ECOL 
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**/ 
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dvariable Michaelis_Menten1(const double& x, const prevariable& a, const prevariable& b) 
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\param x independent variable; data vector 
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\param a ; differentiable scalar 
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\param b ; differentiable scalar 
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\return \f$ \f$


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\return \f$ \frac{ax}{b+x} \f$


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\ingroup ECOL 
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**/ 
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dvar_vector Michaelis_Menten1(const dvector& x, const prevariable& a, const prevariable& b) 
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\param x independent variable; data vector 
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\param a ; differentiable vector 
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\param b ; differentiable scalar 
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\return \f$ \f$


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\return \f$ \frac{ax}{b+x} \f$


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\ingroup ECOL 
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**/ 
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dvar_vector Michaelis_Menten1(const dvector& x, const dvar_vector& a, const prevariable& b) 
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\param x independent variable; data vector 
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\param a ; differentiable scalar 
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\param b ; differentiable vector 
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\return \f$ \f$


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\return \f$ \frac{ax}{b+x} \f$


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\ingroup ECOL 
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**/ 
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dvar_vector Michaelis_Menten1(const dvector& x, const prevariable& a, const dvar_vector& b) 
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\param x independent variable; data vector 
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\param a ; differentiable vector 
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\param b ; differentiable vector 
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\return \f$ \f$


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\return \f$ \frac{ax}{b+x} \f$


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\ingroup ECOL 
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**/ 
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dvar_vector Michaelis_Menten1(const dvector& x, const dvar_vector& a, const dvar_vector& b) 
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\param x independent variable; data scalar 
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\param a ; differentiable scalar in a random effects model 
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\param b ; differentiable scalar in a random effects model 
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\return \f$ \f$


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\return \f$ \frac{ax}{b+x} \f$


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\ingroup ECOL 
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**/ 
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df1b2variable Michaelis_Menten1(const double& x, const df1b2variable& a, const df1b2variable& b) 
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\param x independent variable; data vector 
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\param a ; differentiable scalar in a random effects model 
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\param b ; differentiable scalar in a random effects model 
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\return \f$ \f$


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\return \f$ \frac{ax}{b+x} \f$


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\ingroup ECOL 
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**/ 
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df1b2vector Michaelis_Menten1(const dvector& x, const df1b2variable& a, const df1b2variable& b) 
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\param x independent variable; data vector 
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\param a ; differentiable vector in a random effects model 
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\param b ; differentiable scalar in a random effects model 
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\return \f$ \f$


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\return \f$ \frac{ax}{b+x} \f$


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\ingroup ECOL 
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**/ 
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df1b2vector Michaelis_Menten1(const dvector& x, const df1b2vector& a, const df1b2variable& b) 
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\param x independent variable; data vector 
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\param a ; differentiable scalar in a random effects model 
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\param b ; differentiable vector in a random effects model 
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\return \f$ \f$


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\return \f$ \frac{ax}{b+x} \f$


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\ingroup ECOL 
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**/ 
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df1b2vector Michaelis_Menten1(const dvector& x, const df1b2variable& a, const df1b2vector& b) 
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\param x independent variable; data vector 
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\param a ; differentiable vector in a random effects model 
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\param b ; differentiable vector in a random effects model 
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\return \f$ \f$


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\return \f$ \frac{ax}{b+x} \f$


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\ingroup ECOL 
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**/ 
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df1b2vector Michaelis_Menten1(const dvector& x, const df1b2vector& a, const df1b2vector& b) 
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