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Edit detail for SandBoxFriCAS revision 29 of 62

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Editor: aUser
Time: 2018/02/01 15:03:47 GMT+0
Note: bug

added:

From aUser Thu Feb 1 15:03:46 +0000 2018
From: aUser
Date: Thu, 01 Feb 2018 15:03:46 +0000
Subject: bug
Message-ID: <20180201150346+0000@axiom-wiki.newsynthesis.org>

\begin{axiom}
f(a) == ( local b; b:=sqrt(a); b^2-a)
f(2)
f(sqrt(2))
f(z)
f(%i)
\end{axiom}

This page is set to execute \begin{axiom}... \end{axiom} commands using FriCAS?. See also FriCASIntegration?.

fricas
)version
Value = "FriCAS 1.3.1 compiled at Thu Feb 16 03:24:08 UTC 2017"

Any comments added here use this version of FriCAS?.

fricas
solve(s=v*t+a*t^2/2,t)

\label{eq1}\left[{{{2 \  t \  v}+{a \ {{t}^{2}}}-{2 \  s}}= 0}\right](1)
Type: List(Equation(Fraction(Polynomial(Integer))))

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radicalSolve(s=v*t+a*t^2/2,t)

\label{eq2}\left[{t ={{-{\sqrt{{4 \ {{v}^{2}}}+{8 \  a \  s}}}-{2 \  v}}\over{2 \  a}}}, \:{t ={{{\sqrt{{4 \ {{v}^{2}}}+{8 \  a \  s}}}-{2 \  v}}\over{2 \  a}}}\right](2)
Type: List(Equation(Expression(Integer)))

fricas
solve(v*t+a*t^2/2-s=0,t)

\label{eq3}\left[{{{2 \  t \  v}+{a \ {{t}^{2}}}-{2 \  s}}= 0}\right](3)
Type: List(Equation(Fraction(Polynomial(Integer))))

fricas
solve(v*t+a*t/2-s=0,t)

\label{eq4}\left[{t ={{2 \  s}\over{{2 \  v}+ a}}}\right](4)
Type: List(Equation(Fraction(Polynomial(Integer))))

fricas
solve(v*t+a*t^2/2-s=0,t)

\label{eq5}\left[{{{2 \  t \  v}+{a \ {{t}^{2}}}-{2 \  s}}= 0}\right](5)
Type: List(Equation(Fraction(Polynomial(Integer))))

fricas
radicalSolve(p^3 - p + 1/10=0,p)

\label{eq6}\begin{array}{@{}l}
\displaystyle
\left[{p ={{{{\left(-{3 \ {\sqrt{- 3}}}+ 3 \right)}\ {{\root{3}\of{{-{3 \ {\sqrt{3}}}+{\sqrt{-{373}}}}\over{{60}\ {\sqrt{3}}}}}^{2}}}- 2}\over{{\left({3 \ {\sqrt{- 3}}}+ 3 \right)}\ {\root{3}\of{{-{3 \ {\sqrt{3}}}+{\sqrt{-{373}}}}\over{{60}\ {\sqrt{3}}}}}}}}, \: \right.
\
\
\displaystyle
\left.{p ={{{{\left(-{3 \ {\sqrt{- 3}}}- 3 \right)}\ {{\root{3}\of{{-{3 \ {\sqrt{3}}}+{\sqrt{-{373}}}}\over{{60}\ {\sqrt{3}}}}}^{2}}}+ 2}\over{{\left({3 \ {\sqrt{- 3}}}- 3 \right)}\ {\root{3}\of{{-{3 \ {\sqrt{3}}}+{\sqrt{-{373}}}}\over{{60}\ {\sqrt{3}}}}}}}}, \: \right.
\
\
\displaystyle
\left.{p ={{{3 \ {{\root{3}\of{{-{3 \ {\sqrt{3}}}+{\sqrt{-{37
3}}}}\over{{60}\ {\sqrt{3}}}}}^{2}}}+ 1}\over{3 \ {\root{3}\of{{-{3 \ {\sqrt{3}}}+{\sqrt{-{373}}}}\over{{60}\ {\sqrt{3}}}}}}}}\right] (6)
Type: List(Equation(Expression(Integer)))

fricas
R1 ==> Record(foo1: String, remLexs: List Integer)
Type: Void
fricas
R2 ==> Record(foo2: String, remLexs: List Integer)
Type: Void
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r1: R1 := ["a", [1,2,3]]

\label{eq7}\left[{foo 1 = \verb#"a"#}, \:{remLexs ={\left[ 1, \: 2, \: 3 \right]}}\right](7)
Type: Record(foo1: String,remLexs: List(Integer))
fricas
r2: R2 := ["b", [5]]

\label{eq8}\left[{foo 2 = \verb#"b"#}, \:{remLexs ={\left[ 5 \right]}}\right](8)
Type: Record(foo2: String,remLexs: List(Integer))
fricas
r1.remLexs

\label{eq9}\left[ 1, \: 2, \: 3 \right](9)
Type: List(Integer)
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r2.remLexs

\label{eq10}\left[ 5 \right](10)
Type: List(Integer)

fricas
)set output tex off
 
fricas
)set output algebra on
guessPRec [1, 0, 1, 1, 4, 10, 35, 120, 455, 1792, 7413, 31780, 140833, 641928, 3000361, 14338702, 69902535, 346939792, 1750071307, 8958993507, 46484716684, 244187539270, 1297395375129, 6965930587924]
(13) [ [ f(n): 2 2 (- n - 17n - 72)f(n + 3) + (4n + 30n + 44)f(n + 2) + 2 2 (19n + 113n + 150)f(n + 1) + (14n + 42n + 28)f(n) = 0 , f(0) = 1, f(1) = 0, f(2) = 1] ]
Type: List(Expression(Integer))

fricas
guessRec([1,1,0,1,- 1,2,- 1,5,- 4,29,- 13,854,- 685])
2 (14) [[f(n): f(n + 2) + f(n + 1) - f(n) = 0,f(0) = 1,f(1) = 1]]
Type: List(Expression(Integer))

integrate(exp(x-x^2), x) --mariuszi28cg, Mon, 25 Sep 2017 20:14:29 +0000 reply
fricas
integrate(exp(x-x^2), x)
1 - 4 2x - 1 +---+ %e erf(------)\|%pi 2 (15) -------------------- 2
Type: Union(Expression(Integer),...)

fricas
1+1

\label{eq1}2(1)
Type: PositiveInteger?

2^3-2**3

fricas
2^3

\label{eq1}8(1)
Type: PositiveInteger?

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2**3
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 PositiveInteger
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

fricas
sqrt(2)^2-2

\label{eq1}0(1)
Type: AlgebraicNumber?

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a:=sqrt(2)

\label{eq1}\sqrt{2}(1)
Type: AlgebraicNumber?
fricas
b:=sqrt(a)

\label{eq2}\root{4}\of{2}(2)
Type: AlgebraicNumber?
fricas
b^2-a

\label{eq3}{{\root{4}\of{2}}^{2}}-{\sqrt{2}}(3)
Type: AlgebraicNumber?

fricas
f(a) == { local b=sqrt(a); b^2-a}
Line 1: f(a) == { local b=sqrt(a); b^2-a} ........A........B Error A: Missing mate. Error B: syntax error at top level Error B: Possibly missing a } 3 error(s) parsing

fricas
f(a) == { local b:=sqrt(a); b^2-a}
Line 1: f(a) == { local b:=sqrt(a); b^2-a} ..........A Error A: syntax error at top level Error A: Improper syntax. 2 error(s) parsing

fricas
[q,r]

\label{eq1}\left[ q , \: r \right](1)
Type: List(OrderedVariableList?([q,r]))

fricas
f(a) == ( local b; b:=sqrt(a); b^2-a)
Type: Void
fricas
f(2)
fricas
Compiling function f with type PositiveInteger -> AlgebraicNumber

\label{eq1}0(1)
Type: AlgebraicNumber?
fricas
f(sqrt(2))
fricas
Compiling function f with type AlgebraicNumber -> AlgebraicNumber

\label{eq2}{{\root{4}\of{2}}^{2}}-{\sqrt{2}}(2)
Type: AlgebraicNumber?

fricas
f(a) == ( local b; b:=sqrt(a); b^2-a)
Type: Void
fricas
f(2)
fricas
Compiling function f with type PositiveInteger -> AlgebraicNumber

\label{eq1}0(1)
Type: AlgebraicNumber?
fricas
f(sqrt(2))
fricas
Compiling function f with type AlgebraicNumber -> AlgebraicNumber

\label{eq2}{{\root{4}\of{2}}^{2}}-{\sqrt{2}}(2)
Type: AlgebraicNumber?
fricas
f(z)
fricas
Compiling function f with type Variable(z) -> Expression(Integer)

\label{eq3}0(3)
Type: Expression(Integer)
fricas
f(%i)
fricas
Compiling function f with type Complex(Integer) -> Expression(
      Complex(Integer))

\label{eq4}0(4)
Type: Expression(Complex(Integer))