Nicer fixes for tests

src/doc/de/tutorial/interfaces.rst

@@ -272,8 +272,8 @@ deren :math:`i,j` Eintrag gerade :math:`i/j` ist, für :math:`i,j=1,\ldots,4`.
     matrix([1,1/2,1/3,1/4],[0,0,0,0],[0,0,0,0],[0,0,0,0])
     sage: A.eigenvalues()
     [[0,4],[3,1]]
-    sage: A.eigenvectors()
-    [[[0,4],[3,1]],[[[1,0,0,-4],[0,1,0,-2],[0,0,1,-...4/3...]],[[1,2,3,4]]]]
+    sage: A.eigenvectors().sage()
+    [[[0, 4], [3, 1]], [[[1, 0, 0, -4], [0, 1, 0, -2], [0, 0, 1, -4/3]], [[1, 2, 3, 4]]]]
 
 Hier ein anderes Beispiel:
 
@@ -334,8 +334,8 @@ Und der letzte ist die berühmte Kleinsche Flasche:
 
     sage: maxima("expr_1: 5*cos(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0) - 10.0")
     5*cos(x)*(sin(x/2)*sin(2*y)+cos(x/2)*cos(y)+3.0)-10.0
-    sage: maxima("expr_2: -5*sin(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0)")
-    -...5*sin(x)*(sin(x/2)*sin(2*y)+cos(x/2)*cos(y)+3.0)...
+    sage: maxima("expr_2: -5*sin(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0)").sage()
+    -5*(cos(1/2*x)*cos(y) + sin(1/2*x)*sin(2*y) + 3.0)*sin(x)
     sage: maxima("expr_3: 5*(-sin(x/2)*cos(y) + cos(x/2)*sin(2*y))")
     5*(cos(x/2)*sin(2*y)-sin(x/2)*cos(y))
     sage: maxima.plot3d ("[expr_1, expr_2, expr_3]", "[x, -%pi, %pi]", # not tested

src/doc/de/tutorial/tour_algebra.rst

@@ -210,8 +210,8 @@ Lösung: Berechnen Sie die Laplace-Transformierte der ersten Gleichung
 ::
 
     sage: de1 = maxima("2*diff(x(t),t, 2) + 6*x(t) - 2*y(t)")
-    sage: lde1 = de1.laplace("t","s"); lde1
-    2*(...-...%at('diff(x(t),t,1),t = 0))+s^2*'laplace(x(t),t,s)-x(0)*s) -2*'laplace(y(t),t,s)+6*'laplace(x(t),t,s)
+    sage: lde1 = de1.laplace("t","s"); lde1.sage()
+    2*s^2*laplace(x(t), t, s) - 2*s*x(0) + 6*laplace(x(t), t, s) - 2*laplace(y(t), t, s) - 2*D[0](x)(0)
 
 Das ist schwierig zu lesen, es besagt jedoch, dass
 
@@ -226,8 +226,8 @@ Laplace-Transformierte der zweiten Gleichung:
 ::
 
     sage: de2 = maxima("diff(y(t),t, 2) + 2*y(t) - 2*x(t)")
-    sage: lde2 = de2.laplace("t","s"); lde2
-    ...-...%at('diff(y(t),t,1),t = 0))+s^2*'laplace(y(t),t,s) +2*'laplace(y(t),t,s)-2*'laplace(x(t),t,s) -y(0)*s
+    sage: lde2 = de2.laplace("t","s"); lde2.sage()
+    s^2*laplace(y(t), t, s) - s*y(0) - 2*laplace(x(t), t, s) + 2*laplace(y(t), t, s) - D[0](y)(0)
 
 Dies besagt
 

src/doc/en/tutorial/interfaces.rst

@@ -267,8 +267,8 @@ whose :math:`i,j` entry is :math:`i/j`, for
     matrix([1,1/2,1/3,1/4],[0,0,0,0],[0,0,0,0],[0,0,0,0])
     sage: A.eigenvalues()
     [[0,4],[3,1]]
-    sage: A.eigenvectors()
-    [[[0,4],[3,1]],[[[1,0,0,-4],[0,1,0,-2],[0,0,1,-...4/3...]],[[1,2,3,4]]]]
+    sage: A.eigenvectors().sage()
+    [[[0, 4], [3, 1]], [[[1, 0, 0, -4], [0, 1, 0, -2], [0, 0, 1, -4/3]], [[1, 2, 3, 4]]]]
 
 Here's another example:
 
@@ -320,8 +320,8 @@ The next plot is the famous Klein bottle (do not type the ``....:``)::
 
     sage: maxima("expr_1: 5*cos(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0) - 10.0")
     5*cos(x)*(sin(x/2)*sin(2*y)+cos(x/2)*cos(y)+3.0)-10.0
-    sage: maxima("expr_2: -5*sin(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0)")
-    -...5*sin(x)*(sin(x/2)*sin(2*y)+cos(x/2)*cos(y)+3.0)...
+    sage: maxima("expr_2: -5*sin(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0)").sage()
+    -5*(cos(1/2*x)*cos(y) + sin(1/2*x)*sin(2*y) + 3.0)*sin(x)
     sage: maxima("expr_3: 5*(-sin(x/2)*cos(y) + cos(x/2)*sin(2*y))")
     5*(cos(x/2)*sin(2*y)-sin(x/2)*cos(y))
     sage: maxima.plot3d ("[expr_1, expr_2, expr_3]", "[x, -%pi, %pi]",  # not tested

src/doc/en/tutorial/tour_algebra.rst

@@ -217,8 +217,8 @@ the notation :math:`x=x_{1}`, :math:`y=x_{2}`):
 ::
 
     sage: de1 = maxima("2*diff(x(t),t, 2) + 6*x(t) - 2*y(t)")
-    sage: lde1 = de1.laplace("t","s"); lde1
-    2*(...-...%at('diff(x(t),t,1),t = 0))+s^2*'laplace(x(t),t,s)-x(0)*s) -2*'laplace(y(t),t,s)+6*'laplace(x(t),t,s)
+    sage: lde1 = de1.laplace("t","s"); lde1.sage()
+    2*s^2*laplace(x(t), t, s) - 2*s*x(0) + 6*laplace(x(t), t, s) - 2*laplace(y(t), t, s) - 2*D[0](x)(0)
 
 This is hard to read, but it says that
 
@@ -232,8 +232,8 @@ Laplace transform of the second equation:
 ::
 
     sage: de2 = maxima("diff(y(t),t, 2) + 2*y(t) - 2*x(t)")
-    sage: lde2 = de2.laplace("t","s"); lde2
-    ...-...%at('diff(y(t),t,1),t = 0))+s^2*'laplace(y(t),t,s) +2*'laplace(y(t),t,s)-2*'laplace(x(t),t,s) -y(0)*s
+    sage: lde2 = de2.laplace("t","s"); lde2.sage()
+    s^2*laplace(y(t), t, s) - s*y(0) - 2*laplace(x(t), t, s) + 2*laplace(y(t), t, s) - D[0](y)(0)
 
 This says
 

src/doc/es/tutorial/tour_algebra.rst

@@ -197,8 +197,8 @@ la notación :math:`x=x_{1}`, :math:`y=x_{2}`):
 ::
 
     sage: de1 = maxima("2*diff(x(t),t, 2) + 6*x(t) - 2*y(t)")
-    sage: lde1 = de1.laplace("t","s"); lde1
-    2*(...-...%at('diff(x(t),t,1),t = 0))+s^2*'laplace(x(t),t,s)-x(0)*s) -2*'laplace(y(t),t,s)+6*'laplace(x(t),t,s)
+    sage: lde1 = de1.laplace("t","s"); lde1.sage()
+    2*s^2*laplace(x(t), t, s) - 2*s*x(0) + 6*laplace(x(t), t, s) - 2*laplace(y(t), t, s) - 2*D[0](x)(0)
 
 El resultado puede ser difícil de leer, pero significa que
 
@@ -212,8 +212,8 @@ Toma la transformada de Laplace de la segunda ecuación:
 ::
 
     sage: de2 = maxima("diff(y(t),t, 2) + 2*y(t) - 2*x(t)")
-    sage: lde2 = de2.laplace("t","s"); lde2
-    ...-...%at('diff(y(t),t,1),t = 0))+s^2*'laplace(y(t),t,s) +2*'laplace(y(t),t,s)-2*'laplace(x(t),t,s) -y(0)*s
+    sage: lde2 = de2.laplace("t","s"); lde2.sage()
+    s^2*laplace(y(t), t, s) - s*y(0) - 2*laplace(x(t), t, s) + 2*laplace(y(t), t, s) - D[0](y)(0)
 
 Esto dice
 

src/doc/fr/tutorial/interfaces.rst

@@ -273,8 +273,8 @@ pour :math:`i,j=1,\ldots,4`.
     matrix([1,1/2,1/3,1/4],[0,0,0,0],[0,0,0,0],[0,0,0,0])
     sage: A.eigenvalues()
     [[0,4],[3,1]]
-    sage: A.eigenvectors()
-    [[[0,4],[3,1]],[[[1,0,0,-4],[0,1,0,-2],[0,0,1,-...4/3...]],[[1,2,3,4]]]]
+    sage: A.eigenvectors().sage()
+    [[[0, 4], [3, 1]], [[[1, 0, 0, -4], [0, 1, 0, -2], [0, 0, 1, -4/3]], [[1, 2, 3, 4]]]]
 
 Un deuxième exemple :
 
@@ -336,8 +336,8 @@ Et la fameuse bouteille de Klein (n'entrez pas les ``....:``):
 
     sage: maxima("expr_1: 5*cos(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0) - 10.0")
     5*cos(x)*(sin(x/2)*sin(2*y)+cos(x/2)*cos(y)+3.0)-10.0
-    sage: maxima("expr_2: -5*sin(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0)")
-    -...5*sin(x)*(sin(x/2)*sin(2*y)+cos(x/2)*cos(y)+3.0)...
+    sage: maxima("expr_2: -5*sin(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0)").sage()
+    -5*(cos(1/2*x)*cos(y) + sin(1/2*x)*sin(2*y) + 3.0)*sin(x)
     sage: maxima("expr_3: 5*(-sin(x/2)*cos(y) + cos(x/2)*sin(2*y))")
     5*(cos(x/2)*sin(2*y)-sin(x/2)*cos(y))
     sage: maxima.plot3d ("[expr_1, expr_2, expr_3]", "[x, -%pi, %pi]", # not tested

src/doc/fr/tutorial/tour_algebra.rst

@@ -182,8 +182,8 @@ Solution : Considérons la transformée de Laplace de la première équation
 ::
 
     sage: de1 = maxima("2*diff(x(t),t, 2) + 6*x(t) - 2*y(t)")
-    sage: lde1 = de1.laplace("t","s"); lde1
-    2*(...-...%at('diff(x(t),t,1),t = 0))+s^2*'laplace(x(t),t,s)-x(0)*s) -2*'laplace(y(t),t,s)+6*'laplace(x(t),t,s)
+    sage: lde1 = de1.laplace("t","s"); lde1.sage()
+    2*s^2*laplace(x(t), t, s) - 2*s*x(0) + 6*laplace(x(t), t, s) - 2*laplace(y(t), t, s) - 2*D[0](x)(0)
 
 La réponse n'est pas très lisible, mais elle signifie que
 
@@ -197,8 +197,8 @@ la seconde équation :
 ::
 
     sage: de2 = maxima("diff(y(t),t, 2) + 2*y(t) - 2*x(t)")
-    sage: lde2 = de2.laplace("t","s"); lde2
-    ...-...%at('diff(y(t),t,1),t = 0))+s^2*'laplace(y(t),t,s) +2*'laplace(y(t),t,s)-2*'laplace(x(t),t,s) -y(0)*s
+    sage: lde2 = de2.laplace("t","s"); lde2.sage()
+    s^2*laplace(y(t), t, s) - s*y(0) - 2*laplace(x(t), t, s) + 2*laplace(y(t), t, s) - D[0](y)(0)
 
 Ceci signifie
 

src/doc/it/tutorial/tour_algebra.rst

@@ -183,8 +183,8 @@ la notazione :math:`x=x_{1}`, :math:`y=x_{2}`:
 ::
 
     sage: de1 = maxima("2*diff(x(t),t, 2) + 6*x(t) - 2*y(t)")
-    sage: lde1 = de1.laplace("t","s"); lde1
-    2*(...-...%at('diff(x(t),t,1),t = 0))+s^2*'laplace(x(t),t,s)-x(0)*s) -2*'laplace(y(t),t,s)+6*'laplace(x(t),t,s)
+    sage: lde1 = de1.laplace("t","s"); lde1.sage()
+    2*s^2*laplace(x(t), t, s) - 2*s*x(0) + 6*laplace(x(t), t, s) - 2*laplace(y(t), t, s) - 2*D[0](x)(0)
 
 Questo è di difficile lettura, ma dice che
 
@@ -198,8 +198,8 @@ trasformata di Laplace della seconda equazione:
 ::
 
     sage: de2 = maxima("diff(y(t),t, 2) + 2*y(t) - 2*x(t)")
-    sage: lde2 = de2.laplace("t","s"); lde2
-    ...-...%at('diff(y(t),t,1),t = 0))+s^2*'laplace(y(t),t,s) +2*'laplace(y(t),t,s)-2*'laplace(x(t),t,s) -y(0)*s
+    sage: lde2 = de2.laplace("t","s"); lde2.sage()
+    s^2*laplace(y(t), t, s) - s*y(0) - 2*laplace(x(t), t, s) + 2*laplace(y(t), t, s) - D[0](y)(0)
 
 che significa
 

src/doc/ja/tutorial/interfaces.rst

@@ -239,8 +239,8 @@ Sage/Maximaインターフェイスの使い方を例示するため，ここで
     matrix([1,1/2,1/3,1/4],[0,0,0,0],[0,0,0,0],[0,0,0,0])
     sage: A.eigenvalues()
     [[0,4],[3,1]]
-    sage: A.eigenvectors()
-    [[[0,4],[3,1]],[[[1,0,0,-4],[0,1,0,-2],[0,0,1,-...4/3...]],[[1,2,3,4]]]]
+    sage: A.eigenvectors().sage()
+    [[[0, 4], [3, 1]], [[[1, 0, 0, -4], [0, 1, 0, -2], [0, 0, 1, -4/3]], [[1, 2, 3, 4]]]]
 
 
 使用例をもう一つ示す:
@@ -301,8 +301,8 @@ Sage/Maximaインターフェイスの使い方を例示するため，ここで
 
     sage: maxima("expr_1: 5*cos(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0) - 10.0")
     5*cos(x)*(sin(x/2)*sin(2*y)+cos(x/2)*cos(y)+3.0)-10.0
-    sage: maxima("expr_2: -5*sin(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0)")
-    -...5*sin(x)*(sin(x/2)*sin(2*y)+cos(x/2)*cos(y)+3.0)...
+    sage: maxima("expr_2: -5*sin(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0)").sage()
+    -5*(cos(1/2*x)*cos(y) + sin(1/2*x)*sin(2*y) + 3.0)*sin(x)
     sage: maxima("expr_3: 5*(-sin(x/2)*cos(y) + cos(x/2)*sin(2*y))")
     5*(cos(x/2)*sin(2*y)-sin(x/2)*cos(y))
     sage: maxima.plot3d ("[expr_1, expr_2, expr_3]", "[x, -%pi, %pi]",  # not tested

src/doc/ja/tutorial/tour_algebra.rst

@@ -213,8 +213,8 @@ Sageを使って常微分方程式を研究することもできる． :math:`x'
 ::
 
     sage: de1 = maxima("2*diff(x(t),t, 2) + 6*x(t) - 2*y(t)")
-    sage: lde1 = de1.laplace("t","s"); lde1
-    2*(...-...%at('diff(x(t),t,1),t = 0))+s^2*'laplace(x(t),t,s)-x(0)*s) -2*'laplace(y(t),t,s)+6*'laplace(x(t),t,s)
+    sage: lde1 = de1.laplace("t","s"); lde1.sage()
+    2*s^2*laplace(x(t), t, s) - 2*s*x(0) + 6*laplace(x(t), t, s) - 2*laplace(y(t), t, s) - 2*D[0](x)(0)
 
 この出力は読みにくいけれども，意味しているのは
 
@@ -227,8 +227,8 @@ Sageを使って常微分方程式を研究することもできる． :math:`x'
 ::
 
     sage: de2 = maxima("diff(y(t),t, 2) + 2*y(t) - 2*x(t)")
-    sage: lde2 = de2.laplace("t","s"); lde2
-    ...-...%at('diff(y(t),t,1),t = 0))+s^2*'laplace(y(t),t,s) +2*'laplace(y(t),t,s)-2*'laplace(x(t),t,s) -y(0)*s
+    sage: lde2 = de2.laplace("t","s"); lde2.sage()
+    s^2*laplace(y(t), t, s) - s*y(0) - 2*laplace(x(t), t, s) + 2*laplace(y(t), t, s) - D[0](y)(0)
 
 意味するところは
 

src/doc/pt/tutorial/interfaces.rst

@@ -269,8 +269,8 @@ entrada :math:`i,j` é :math:`i/j`, para :math:`i,j=1,\ldots,4`.
     matrix([1,1/2,1/3,1/4],[0,0,0,0],[0,0,0,0],[0,0,0,0])
     sage: A.eigenvalues()
     [[0,4],[3,1]]
-    sage: A.eigenvectors()
-    [[[0,4],[3,1]],[[[1,0,0,-4],[0,1,0,-2],[0,0,1,-...4/3...]],[[1,2,3,4]]]]
+    sage: A.eigenvectors().sage()
+    [[[0, 4], [3, 1]], [[[1, 0, 0, -4], [0, 1, 0, -2], [0, 0, 1, -4/3]], [[1, 2, 3, 4]]]]
 
 Aqui vai outro exemplo:
 
@@ -333,8 +333,8 @@ E agora a famosa garrafa de Klein:
     sage: maxima("expr_1: 5*cos(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0)"
     ....:        "- 10.0")
     5*cos(x)*(sin(x/2)*sin(2*y)+cos(x/2)*cos(y)+3.0)-10.0
-    sage: maxima("expr_2: -5*sin(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0)")
-    -...5*sin(x)*(sin(x/2)*sin(2*y)+cos(x/2)*cos(y)+3.0)...
+    sage: maxima("expr_2: -5*sin(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0)").sage()
+    -5*(cos(1/2*x)*cos(y) + sin(1/2*x)*sin(2*y) + 3.0)*sin(x)
     sage: maxima("expr_3: 5*(-sin(x/2)*cos(y) + cos(x/2)*sin(2*y))")
     5*(cos(x/2)*sin(2*y)-sin(x/2)*cos(y))
     sage: maxima.plot3d("[expr_1, expr_2, expr_3]", "[x, -%pi, %pi]", # not tested

src/doc/pt/tutorial/tour_algebra.rst

@@ -205,8 +205,8 @@ equação (usando a notação :math:`x=x_{1}`, :math:`y=x_{2}`):
 ::
 
     sage: de1 = maxima("2*diff(x(t),t, 2) + 6*x(t) - 2*y(t)")
-    sage: lde1 = de1.laplace("t","s"); lde1
-    2*(...-...%at('diff(x(t),t,1),t = 0))+s^2*'laplace(x(t),t,s)-x(0)*s) -2*'laplace(y(t),t,s)+6*'laplace(x(t),t,s)
+    sage: lde1 = de1.laplace("t","s"); lde1.sage()
+    2*s^2*laplace(x(t), t, s) - 2*s*x(0) + 6*laplace(x(t), t, s) - 2*laplace(y(t), t, s) - 2*D[0](x)(0)
 
 O resultado é um pouco difícil de ler, mas diz que
 
@@ -220,8 +220,8 @@ calcule a transformada de Laplace da segunda equação:
 ::
 
     sage: de2 = maxima("diff(y(t),t, 2) + 2*y(t) - 2*x(t)")
-    sage: lde2 = de2.laplace("t","s"); lde2
-    ...-...%at('diff(y(t),t,1),t = 0))+s^2*'laplace(y(t),t,s) +2*'laplace(y(t),t,s)-2*'laplace(x(t),t,s) -y(0)*s
+    sage: lde2 = de2.laplace("t","s"); lde2.sage()
+    s^2*laplace(y(t), t, s) - s*y(0) - 2*laplace(x(t), t, s) + 2*laplace(y(t), t, s) - D[0](y)(0)
 
 O resultado significa que
 

src/doc/ru/tutorial/interfaces.rst

@@ -264,8 +264,8 @@ gnuplot, имеет методы решения и манипуляции мат
     matrix([1,1/2,1/3,1/4],[0,0,0,0],[0,0,0,0],[0,0,0,0])
     sage: A.eigenvalues()
     [[0,4],[3,1]]
-    sage: A.eigenvectors()
-    [[[0,4],[3,1]],[[[1,0,0,-4],[0,1,0,-2],[0,0,1,-...4/3...]],[[1,2,3,4]]]]
+    sage: A.eigenvectors().sage()
+    [[[0, 4], [3, 1]], [[[1, 0, 0, -4], [0, 1, 0, -2], [0, 0, 1, -4/3]], [[1, 2, 3, 4]]]]
 
 Вот другой пример:
 
@@ -325,8 +325,8 @@ gnuplot, имеет методы решения и манипуляции мат
 
     sage: maxima("expr_1: 5*cos(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0) - 10.0")
     5*cos(x)*(sin(x/2)*sin(2*y)+cos(x/2)*cos(y)+3.0)-10.0
-    sage: maxima("expr_2: -5*sin(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0)")
-    -...5*sin(x)*(sin(x/2)*sin(2*y)+cos(x/2)*cos(y)+3.0)...
+    sage: maxima("expr_2: -5*sin(x)*(cos(x/2)*cos(y) + sin(x/2)*sin(2*y)+ 3.0)").sage()
+    -5*(cos(1/2*x)*cos(y) + sin(1/2*x)*sin(2*y) + 3.0)*sin(x)
     sage: maxima("expr_3: 5*(-sin(x/2)*cos(y) + cos(x/2)*sin(2*y))")
     5*(cos(x/2)*sin(2*y)-sin(x/2)*cos(y))
     sage: maxima.plot3d ("[expr_1, expr_2, expr_3]", "[x, -%pi, %pi]", # not tested

src/doc/ru/tutorial/tour_algebra.rst

@@ -199,8 +199,8 @@ Sage может использоваться для решения диффер
 ::
 
     sage: de1 = maxima("2*diff(x(t),t, 2) + 6*x(t) - 2*y(t)")
-    sage: lde1 = de1.laplace("t","s"); lde1
-    2*(...-...%at('diff(x(t),t,1),t = 0))+s^2*'laplace(x(t),t,s)-x(0)*s) -2*'laplace(y(t),t,s)+6*'laplace(x(t),t,s)
+    sage: lde1 = de1.laplace("t","s"); lde1.sage()
+    2*s^2*laplace(x(t), t, s) - 2*s*x(0) + 6*laplace(x(t), t, s) - 2*laplace(y(t), t, s) - 2*D[0](x)(0)
 
 Данный результат тяжело читаем, однако должен быть понят как
 
@@ -211,8 +211,8 @@ Sage может использоваться для решения диффер
 ::
 
     sage: de2 = maxima("diff(y(t),t, 2) + 2*y(t) - 2*x(t)")
-    sage: lde2 = de2.laplace("t","s"); lde2
-    ...-...%at('diff(y(t),t,1),t = 0))+s^2*'laplace(y(t),t,s) +2*'laplace(y(t),t,s)-2*'laplace(x(t),t,s) -y(0)*s
+    sage: lde2 = de2.laplace("t","s"); lde2.sage()
+    s^2*laplace(y(t), t, s) - s*y(0) - 2*laplace(x(t), t, s) + 2*laplace(y(t), t, s) - D[0](y)(0)
 
 Результат:
 

src/sage/functions/bessel.py

@@ -294,8 +294,8 @@ class Function_Bessel_J(BuiltinFunction):
         sage: f.integrate(x)
         1/24*x^3*hypergeometric((3/2,), (5/2, 3), -1/4*x^2)
         sage: m = maxima(bessel_J(2, x))
-        sage: m.integrate(x)
-        (hypergeometric([3/2],[5/2,3],-..._SAGE_VAR_x^2/4)...*_SAGE_VAR_x^3)/24
+        sage: m.integrate(x).sage()
+        1/24*x^3*hypergeometric((3/2,), (5/2, 3), -1/4*x^2)
 
     Visualization (set plot_points to a higher value to get more detail)::
 
@@ -1121,8 +1121,8 @@ def Bessel(*args, **kwds):
         sage: f = maxima(Bessel(typ='K')(x,y))
         sage: f.derivative('_SAGE_VAR_x')
         (%pi*csc(%pi*_SAGE_VAR_x) *('diff(bessel_i(-_SAGE_VAR_x,_SAGE_VAR_y),_SAGE_VAR_x,1) -'diff(bessel_i(_SAGE_VAR_x,_SAGE_VAR_y),_SAGE_VAR_x,1))) /2 -%pi*bessel_k(_SAGE_VAR_x,_SAGE_VAR_y)*cot(%pi*_SAGE_VAR_x)
-        sage: f.derivative('_SAGE_VAR_y')
-        -(...bessel_k(_SAGE_VAR_x+1,_SAGE_VAR_y)+bessel_k(_SAGE_VAR_x-1, _SAGE_VAR_y)).../2...
+        sage: f.derivative('_SAGE_VAR_y').sage()
+        -1/2*bessel_K(x + 1, y) - 1/2*bessel_K(x - 1, y)
 
     Compute the particular solution to Bessel's Differential Equation that
     satisfies `y(1) = 1` and `y'(1) = 1`, then verify the initial conditions