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Editor: Time: 2007/11/18 17:42:50 GMT-8
Note: testing

changed:
-
quad Bezier/line Intersection

\begin{axiom}
eqn1:= k*Lr - Pr + Ar*w*(1-w)=0
eqn2:= k*Ls - Ps + As*w*(1-w)=0
eqn3:= k*Lt - Pt + At*w*(1-w)=0
solve([eqn1, eqn2, eqn3], [w])
\end{axiom}


\begin{axiom}
limit( (sin(2*x)/x)**(1+x), x=0)
limit(sin(x)/x, x=0, "right")
limit((3**x+5**x)**(1/x), x=0, "right")
limit((3**x+5**x)**(1/x), x=0)
\end{axiom}

quad Bezier/line Intersection

fricas

eqn1:= k*Lr - Pr + Ar*w*(1-w)=0

$\label{eq1}{-{Ar \ {{w}^{2}}}+{Ar \ w}+{Lr \ k}- Pr}= 0$

(1)

Type: Equation(Polynomial(Integer))

fricas

eqn2:= k*Ls - Ps + As*w*(1-w)=0

$\label{eq2}{-{As \ {{w}^{2}}}+{As \ w}+{Ls \ k}- Ps}= 0$

(2)

Type: Equation(Polynomial(Integer))

fricas

eqn3:= k*Lt - Pt + At*w*(1-w)=0

$\label{eq3}{-{At \ {{w}^{2}}}+{At \ w}+{Lt \ k}- Pt}= 0$

(3)

Type: Equation(Polynomial(Integer))

fricas

solve([eqn1, eqn2, eqn3], [w])

$\label{eq4}\left[{\left[ \right]}\right]$

(4)

Type: List(List(Equation(Fraction(Polynomial(Integer)))))

fricas

limit( (sin(2*x)/x)**(1+x), x=0)

   There are no library operations named ** 
      Use HyperDoc Browse or issue
                                 )what op **
      to learn if there is any operation containing " ** " in its name.

   Cannot find a definition or applicable library operation named ** 
      with argument type(s) 
                             Expression(Integer)
                             Polynomial(Integer)

      Perhaps you should use "@" to indicate the required return type, 
      or "$" to specify which version of the function you need.
limit(sin(x)/x, x=0, "right")

$\label{eq5}1$

(5)

Type: Union(OrderedCompletion?(Expression(Integer)),...)

fricas

limit((3**x+5**x)**(1/x), x=0, "right")

   There are no library operations named ** 
      Use HyperDoc Browse or issue
                                 )what op **
      to learn if there is any operation containing " ** " in its name.

   Cannot find a definition or applicable library operation named ** 
      with argument type(s) 
                               PositiveInteger
                                 Variable(x)

      Perhaps you should use "@" to indicate the required return type, 
      or "$" to specify which version of the function you need.
limit((3**x+5**x)**(1/x), x=0)

   There are no library operations named ** 
      Use HyperDoc Browse or issue
                                 )what op **
      to learn if there is any operation containing " ** " in its name.

   Cannot find a definition or applicable library operation named ** 
      with argument type(s) 
                               PositiveInteger
                                 Variable(x)

      Perhaps you should use "@" to indicate the required return type, 
      or "$" to specify which version of the function you need.