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Edit detail for SandBox2 revision 5 of 12

1 2 3 4 5 6 7 8 9 10 11 12
Editor: Bill Page
Time: 2007/11/27 12:09:15 GMT-8
Note: need \begin{axiom}...\end{axiom}


        

Indefinite intregral --unknown, Thu, 23 Jun 2005 12:02:22 -0500 reply
arctan = atan
axiom
integrate(1/atan(x),x)
LatexWiki Image(1)
Type: Union(Expression(Integer),...)

axiom
integrate(1/(a+z^3), z=0..1,"noPole");
Type: Union(f1: OrderedCompletion?(Expression(Integer)),...)

axiom
solve(cos(x)-y=-sin(x),x)
LatexWiki Image(2)
Type: List(Equation(Expression(Integer)))

axiom
solve(cos(x)-y=-sin(x),y)
LatexWiki Image(3)
Type: List(Equation(Expression(Integer)))

axiom
A:=matrix[[cos(x)-y,-sin(x)],[sin(x),cos(x)-y]]
LatexWiki Image(4)
Type: Matrix(Expression(Integer))

axiom
A:=matrix[[cos(x)-y,-sin(x)],[sin(x),cos(x)-y]]
LatexWiki Image(5)
Type: Matrix(Expression(Integer))
axiom
solve(A=0,y)
There are 18 exposed and 3 unexposed library operations named solve having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op solve to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named solve with argument type(s) Equation(SquareMatrix(2,Expression(Integer))) Variable(y)
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
LatexWiki Image(6)
Type: Matrix(Expression(Integer))
axiom
B:=solve(A(1,1)*A(2,2)-A(2,1)*A(1,2)=0,L)
LatexWiki Image(7)
Type: List(Equation(Expression(Integer)))

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
LatexWiki Image(8)
Type: Matrix(Expression(Integer))
axiom
B=solve(A(1,1)*A(2,2)-A(2,1)*A(1,2)=0,L)
LatexWiki Image(9)
Type: Equation(List(Equation(Expression(Integer))))
axiom
B(1)
LatexWiki Image(10)
Type: Equation(Expression(Integer))

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
LatexWiki Image(11)
Type: Matrix(Expression(Integer))
axiom
B=solve(A(1,1)*A(2,2)-A(2,1)*A(1,2)=0,L)
LatexWiki Image(12)
Type: Equation(List(Equation(Expression(Integer))))
axiom
B
LatexWiki Image(13)
Type: List(Equation(Expression(Integer)))

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
LatexWiki Image(14)
Type: Matrix(Expression(Integer))
axiom
B:=solve(A(1,1)*A(2,2)-A(2,1)*A(1,2)=0,L)
LatexWiki Image(15)
Type: List(Equation(Expression(Integer)))
axiom
B
LatexWiki Image(16)
Type: List(Equation(Expression(Integer)))

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
LatexWiki Image(17)
Type: Matrix(Expression(Integer))
axiom
B:=solve(A(1,1)*A(2,2)-A(2,1)*A(1,2)=0,L)
LatexWiki Image(18)
Type: List(Equation(Expression(Integer)))
axiom
B.1
LatexWiki Image(19)
Type: Equation(Expression(Integer))

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
LatexWiki Image(20)
Type: Matrix(Expression(Integer))
axiom
B:=solve(A(1,1)*A(2,2)-A(2,1)*A(1,2)=0,L)
LatexWiki Image(21)
Type: List(Equation(Expression(Integer)))
axiom
v:=[[v11],[v12]]
LatexWiki Image(22)
Type: List(List(Symbol))
axiom
A*v=B*v
There are 34 exposed and 23 unexposed library operations named * having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op * to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named * with argument type(s) List(Equation(Expression(Integer))) List(List(Symbol))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
LatexWiki Image(23)
Type: Matrix(Expression(Integer))
axiom
B:=solve(A(1,1)*A(2,2)-A(2,1)*A(1,2)=0,L)
LatexWiki Image(24)
Type: List(Equation(Expression(Integer)))
axiom
v:=vector[[v11],[v12]]
LatexWiki Image(25)
Type: Vector(List(Symbol))

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
LatexWiki Image(26)
Type: Matrix(Expression(Integer))
axiom
B:=solve(A(1,1)*A(2,2)-A(2,1)*A(1,2)=0,L)
LatexWiki Image(27)
Type: List(Equation(Expression(Integer)))
axiom
v:=vector[v11,v12]
LatexWiki Image(28)
Type: Vector(OrderedVariableList?([v11,v12]?))

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
LatexWiki Image(29)
Type: Matrix(Expression(Integer))
axiom
B:=solve(A(1,1)*A(2,2)-A(2,1)*A(1,2)=0,L)
LatexWiki Image(30)
Type: List(Equation(Expression(Integer)))
axiom
v:=matrix[[B.1],[B.2]]
LatexWiki Image(31)
Type: Matrix(Equation(Expression(Integer)))

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
LatexWiki Image(32)
Type: Matrix(Expression(Integer))
axiom
[a,b]:=solve(A(1,1)*A(2,2)-A(2,1)*A(1,2)=0,L)
LatexWiki Image(33)
Type: List(Equation(Expression(Integer)))

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
LatexWiki Image(34)
Type: Matrix(Expression(Integer))
axiom
[a,b]:=solve(A(1,1)*A(2,2)-A(2,1)*A(1,2)=0,L)
LatexWiki Image(35)
Type: List(Equation(Expression(Integer)))
axiom
a
LatexWiki Image(36)
Type: Equation(Expression(Integer))
axiom
b
LatexWiki Image(37)
Type: Equation(Expression(Integer))

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
LatexWiki Image(38)
Type: Matrix(Expression(Integer))
axiom
[a,b]:=solve(A(1,1)*A(2,2)-A(2,1)*A(1,2)=0,L)
LatexWiki Image(39)
Type: List(Equation(Expression(Integer)))
axiom
a
LatexWiki Image(40)
Type: Equation(Expression(Integer))
axiom
b.2
There are no library operations named b Use HyperDoc Browse or issue )what op b to learn if there is any operation containing " b " in its name.
Cannot find a definition or applicable library operation named b with argument type(s) PositiveInteger
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
LatexWiki Image(41)
Type: Matrix(Expression(Integer))
axiom
B:=solve(A(1,1)*A(2,2)-A(2,1)*A(1,2)=0,L)
LatexWiki Image(42)
Type: List(Equation(Expression(Integer)))
axiom
LA:=[sqrt(-1)*sin(x)+cos(x),-sqrt(-1)*sin(x)+cos(x)]
You have used the abbreviation LA of the constructor LocalAlgebra on the left-hand side of an assignment expression. This is not allowed.

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
LatexWiki Image(43)
Type: Matrix(Expression(Integer))
axiom
B:=solve(A(1,1)*A(2,2)-A(2,1)*A(1,2)=0,L)
LatexWiki Image(44)
Type: List(Equation(Expression(Integer)))
axiom
LA:=matrix[sqrt(-1)*sin(x)+cos(x),-sqrt(-1)*sin(x)+cos(x)]
You have used the abbreviation LA of the constructor LocalAlgebra on the left-hand side of an assignment expression. This is not allowed.

axiom
sqrt(-1)
LatexWiki Image(45)
Type: AlgebraicNumber?

axiom
LA:=matrix[sqrt(-1)*sin(x)]
You have used the abbreviation LA of the constructor LocalAlgebra on the left-hand side of an assignment expression. This is not allowed.

axiom
A:=matrix[cos(x)-L]
LatexWiki Image(46)
Type: Symbol

axiom
A:=matrix[a,b]
LatexWiki Image(47)
Type: Symbol

axiom
A:=matrix[[a,b]]
LatexWiki Image(48)
Type: Matrix(Equation(Expression(Integer)))

axiom
A:=matrix[[a],[b]]
LatexWiki Image(49)
Type: Matrix(Equation(Expression(Integer)))

axiom
A:=matrix[[sqrt(-1)*sin(x)+cos(x)],[b]]
LatexWiki Image(50)
Type: Symbol

axiom
A:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)*cos(x)]]
LatexWiki Image(51)
Type: Matrix(Expression(Integer))

axiom
LA:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
You have used the abbreviation LA of the constructor LocalAlgebra on the left-hand side of an assignment expression. This is not allowed.

axiom
LAM:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(52)
Type: Matrix(Expression(Integer))

axiom
L:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(53)
Type: Matrix(Expression(Integer))

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
There are 8 exposed and 3 unexposed library operations named - having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op - to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named - with argument type(s) Expression(Integer) Matrix(Expression(Integer))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(54)
Type: Matrix(Expression(Integer))
axiom
A*D
>> Error detected within library code: can't multiply matrices of incompatible dimensions

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
There are 8 exposed and 3 unexposed library operations named - having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op - to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named - with argument type(s) Expression(Integer) Matrix(Expression(Integer))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(55)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(56)
Type: Matrix(Polynomial(Integer))

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
There are 8 exposed and 3 unexposed library operations named - having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op - to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named - with argument type(s) Expression(Integer) Matrix(Expression(Integer))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(57)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(58)
Type: Matrix(Polynomial(Integer))
axiom
A*v
>> Error detected within library code: can't multiply matrices of incompatible dimensions

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
There are 8 exposed and 3 unexposed library operations named - having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op - to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named - with argument type(s) Expression(Integer) Matrix(Expression(Integer))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(59)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(60)
Type: Matrix(Polynomial(Integer))
axiom
A*v
>> Error detected within library code: can't multiply matrices of incompatible dimensions

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
There are 8 exposed and 3 unexposed library operations named - having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op - to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named - with argument type(s) Expression(Integer) Matrix(Expression(Integer))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(61)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(62)
Type: Matrix(Polynomial(Integer))
axiom
A*v
>> Error detected within library code: can't multiply matrices of incompatible dimensions

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
There are 8 exposed and 3 unexposed library operations named - having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op - to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named - with argument type(s) Expression(Integer) Matrix(Expression(Integer))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(63)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(64)
Type: Matrix(Polynomial(Integer))
axiom
A*v
>> Error detected within library code: can't multiply matrices of incompatible dimensions

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
There are 8 exposed and 3 unexposed library operations named - having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op - to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named - with argument type(s) Expression(Integer) Matrix(Expression(Integer))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(65)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(66)
Type: Matrix(Polynomial(Integer))
axiom
A*v
>> Error detected within library code: can't multiply matrices of incompatible dimensions

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
There are 8 exposed and 3 unexposed library operations named - having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op - to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named - with argument type(s) Expression(Integer) Matrix(Expression(Integer))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(67)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(68)
Type: Matrix(Polynomial(Integer))
axiom
A*v
>> Error detected within library code: can't multiply matrices of incompatible dimensions

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
There are 8 exposed and 3 unexposed library operations named - having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op - to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named - with argument type(s) Expression(Integer) Matrix(Expression(Integer))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(69)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(70)
Type: Matrix(Polynomial(Integer))
axiom
A*v
>> Error detected within library code: can't multiply matrices of incompatible dimensions

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
There are 8 exposed and 3 unexposed library operations named - having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op - to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named - with argument type(s) Expression(Integer) Matrix(Expression(Integer))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(71)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(72)
Type: Matrix(Polynomial(Integer))
axiom
A*v
>> Error detected within library code: can't multiply matrices of incompatible dimensions

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
There are 8 exposed and 3 unexposed library operations named - having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op - to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named - with argument type(s) Expression(Integer) Matrix(Expression(Integer))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(73)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(74)
Type: Matrix(Polynomial(Integer))
axiom
A*v
>> Error detected within library code: can't multiply matrices of incompatible dimensions

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
There are 8 exposed and 3 unexposed library operations named - having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op - to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named - with argument type(s) Expression(Integer) Matrix(Expression(Integer))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(75)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(76)
Type: Matrix(Polynomial(Integer))
axiom
A*v
>> Error detected within library code: can't multiply matrices of incompatible dimensions

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
There are 8 exposed and 3 unexposed library operations named - having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op - to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named - with argument type(s) Expression(Integer) Matrix(Expression(Integer))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(77)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(78)
Type: Matrix(Polynomial(Integer))
axiom
A*v
>> Error detected within library code: can't multiply matrices of incompatible dimensions

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
There are 8 exposed and 3 unexposed library operations named - having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op - to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named - with argument type(s) Expression(Integer) Matrix(Expression(Integer))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(79)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(80)
Type: Matrix(Polynomial(Integer))
axiom
A*v
>> Error detected within library code: can't multiply matrices of incompatible dimensions

axiom
A:=matrix[[cos(x),-sin(x)],[sin(x),cos(x)]]
LatexWiki Image(81)
Type: Matrix(Expression(Integer))
axiom
D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(82)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(83)
Type: Matrix(Polynomial(Integer))
axiom
A*v
LatexWiki Image(84)
Type: Matrix(Expression(Integer))
axiom
D(1,1)*v
LatexWiki Image(85)
Type: Matrix(Expression(Integer))
axiom
A*v-D(1,1)*v
LatexWiki Image(86)
Type: Matrix(Expression(Integer))

axiom
A:=matrix[[cos(x),-sin(x)],[sin(x),cos(x)]]
LatexWiki Image(87)
Type: Matrix(Expression(Integer))
axiom
D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(88)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(89)
Type: Matrix(Polynomial(Integer))
axiom
A*v
LatexWiki Image(90)
Type: Matrix(Expression(Integer))
axiom
D(1,1)*v
LatexWiki Image(91)
Type: Matrix(Expression(Integer))
axiom
solve(A*v-D(1,1)*v=0,v(1,1))
There are 3 exposed and 0 unexposed library operations named equation having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op equation to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named equation with argument type(s) Matrix(Expression(Integer)) NonNegativeInteger
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

axiom
A:=matrix[[cos(x),-sin(x)],[sin(x),cos(x)]]
LatexWiki Image(92)
Type: Matrix(Expression(Integer))
axiom
D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(93)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(94)
Type: Matrix(Polynomial(Integer))
axiom
A*v
LatexWiki Image(95)
Type: Matrix(Expression(Integer))
axiom
D(1,1)*v
LatexWiki Image(96)
Type: Matrix(Expression(Integer))
axiom
solve(A*v-D(1,1)*v=0,v11)
There are 3 exposed and 0 unexposed library operations named equation having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op equation to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named equation with argument type(s) Matrix(Expression(Integer)) NonNegativeInteger
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

axiom
A:=matrix[[cos(x)-L,-sin(x)],[sin(x),cos(x)-L]]
There are 8 exposed and 3 unexposed library operations named - having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op - to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named - with argument type(s) Expression(Integer) Matrix(Expression(Integer))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. D:=matrix[[sqrt(-1)*sin(x)+cos(x)],[-sqrt(-1)*sin(x)+cos(x)]]
LatexWiki Image(97)
Type: Matrix(Expression(Integer))
axiom
v:=matrix[[v11],[v12]]
LatexWiki Image(98)
Type: Matrix(Polynomial(Integer))
axiom
A*v
LatexWiki Image(99)
Type: Matrix(Expression(Integer))
axiom
D(1,1)*v
LatexWiki Image(100)
Type: Matrix(Expression(Integer))
axiom
A*v-D(1,1)*v
LatexWiki Image(101)
Type: Matrix(Expression(Integer))

axiom
x*x
LatexWiki Image(102)
Type: Polynomial(Integer)

A*v

axiom
A*v
LatexWiki Image(103)
Type: Matrix(Expression(Integer))

My favorite equation --billpage, Fri, 24 Jun 2005 23:36:38 -0500 reply
LatexWiki Image 

DONTKNOWMYSELF --unknown, Mon, 27 Jun 2005 13:28:12 -0500 reply
axiom
A:=matrix[[cos(x),-sin(x)],[sin(x),cos(x)]]
LatexWiki Image(104)
Type: Matrix(Expression(Integer))

solve(cos(x)=0,x)

axiom
solve(cos(x)-y=-sin(x),x)
LatexWiki Image(105)
Type: List(Equation(Expression(Integer)))

axiom
solve(cos(x)=0,x)
LatexWiki Image(106)
Type: List(Equation(Expression(Integer)))

solve(sin(e) - e = 0, e)

solve(sin(e) - e = 0, e) --unknown, Thu, 30 Jun 2005 15:07:05 -0500 reply

axiom
solve(sin(e) - e = 0, e)
LatexWiki Image(107)
Type: List(Equation(Expression(Integer)))

solve(acos(t1) + bsin(t1) = c, t1)

axiom
solve(a*cos(t1) + b*sin(t1) = c, t1)
There are 3 exposed and 0 unexposed library operations named equation having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op equation to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named equation with argument type(s) Equation(Expression(Integer)) Variable(c)
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

solve(D(y x, x)^2+y x=1,y,x)

\begin(axiom) solve(D(y x, x)^2+y x=1,y,x) \end(axiom)

x*x

axiom
solve(D(y x, x)^2+y x=1,y,x)
There are no library operations named y Use HyperDoc Browse or issue )what op y to learn if there is any operation containing " y " in its name.
Cannot find a definition or applicable library operation named y with argument type(s) Variable(x)
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

axiom
deq := (x**2 + 1) * D(y x, x, 2) + 3 * x * D(y x, x) + y x = 0
There are no library operations named y Use HyperDoc Browse or issue )what op y to learn if there is any operation containing " y " in its name.
Cannot find a definition or applicable library operation named y with argument type(s) Variable(x)
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. solve(deq, y, x)
There are 6 exposed and 1 unexposed library operations named solve having 3 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op solve to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named solve with argument type(s) Variable(deq) Variable(y) Variable(x)
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

axiom
f(x)=x*2
There are no library operations named f Use HyperDoc Browse or issue )what op f to learn if there is any operation containing " f " in its name.
Cannot find a definition or applicable library operation named f with argument type(s) Variable(x)
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. D(y,x)
There are 5 exposed and 0 unexposed library operations named D having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op D to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named D with argument type(s) Variable(y) Variable(x)
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need. (x**2 + 1) * D(y, x, 2) + 3 * x * D(y, x) + y = 0
There are 3 exposed and 0 unexposed library operations named D having 3 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op D to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named D with argument type(s) Variable(y) Variable(x) PositiveInteger
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

axiom
y := operator y
LatexWiki Image(108)
Type: BasicOperator?
axiom
solve(D(y(x),x)-y(x)^2=1,y,x)
There are 5 exposed and 0 unexposed library operations named D having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op D to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named D with argument type(s) Expression(Integer) Variable(x)
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

Just trying to understand the syntax
axiom
solve(a*x^2+b*x+c,x)
LatexWiki Image(109)
Type: List(Equation(Expression(Integer)))

axiom
solve(a*x^2+b*x+c=0,x)
There are 18 exposed and 3 unexposed library operations named solve having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op solve to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named solve with argument type(s) Equation(Equation(Expression(Integer))) Variable(x)
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

axiom
zerosOf(a*x^2+b*x+c,x)
There are 2 exposed and 0 unexposed library operations named zerosOf having 2 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op zerosOf to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named zerosOf with argument type(s) Equation(Expression(Integer)) Variable(x)
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

axiom
zerosOf(sqrt(h^2+a^2)-a=d,a)
There are 4 exposed and 1 unexposed library operations named sqrt having 1 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op sqrt to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named sqrt with argument type(s) Equation(Expression(Integer))
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

axiom
integrate(1/(a+z^3), z=0..1,"noPole")
There are 4 exposed and 1 unexposed library operations named integrate having 3 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op integrate to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named integrate with argument type(s) Equation(Expression(Integer)) SegmentBinding(NonNegativeInteger) String
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

axiom
integrate(a/(b+z^2),z=0..1,"noPole")
There are 4 exposed and 1 unexposed library operations named integrate having 3 argument(s) but none was determined to be applicable. Use HyperDoc Browse, or issue )display op integrate to learn more about the available operations. Perhaps package-calling the operation or using coercions on the arguments will allow you to apply the operation.
Cannot find a definition or applicable library operation named integrate with argument type(s) Equation(Expression(Integer)) SegmentBinding(NonNegativeInteger) String
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

axiom
solve(x^2+x+1=98,x)
LatexWiki Image(110)
Type: List(Equation(Fraction(Polynomial(Integer))))

axiom
solve(x^2+2*x+1=0,x)
LatexWiki Image(111)
Type: List(Equation(Fraction(Polynomial(Integer))))

solution in Expression domain --Bill Page, Thu, 08 Feb 2007 11:50:51 -0600 reply
axiom
solve((x^2+x+1=98)::Equation Expression Integer,x)
LatexWiki Image(112)
Type: List(Equation(Expression(Integer)))

axiom
solve((x^3 * b + x^2*(b*d - b + 1) + x*(3*d - b*d - 1) + 2*d^2 -
2*d = 0)::Equation Expression Integer, x)
Cannot convert from type Equation(Equation(Expression(Integer))) to Equation(Expression(Integer)) for value 3 2 2 L x + (L d - L + 1)x + ((- L + 3)d - 1)x + 2d - 2d = 3 2 +---+ 3 2 (- x + (- d + 1)x + d x)\|- 1 sin(x) + (x + (d - 1)x - d x)cos(x) + 2 2 x + (3d - 1)x + 2d - 2d = 0= 0

testxxxx
Tue, 27 Nov 2007 11:55:04 -0800 reply
solve(cos(x)-y=-sin(x),x)

need \begin{axiom}...\end{axiom} --Bill Page, Tue, 27 Nov 2007 12:02:27 -0800 reply
axiom
)clear all
All user variables and function definitions have been cleared. solve(cos(x)-y=-sin(x),x)
LatexWiki Image(113)
Type: List(Equation(Expression(Integer)))