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authorDaniel Krenn <git@danielkrenn.at>2016-01-31 15:53:25 +0100
committerDaniel Krenn <git@danielkrenn.at>2016-01-31 15:53:25 +0100
commit2056884ccadd2eee615c612cb137b5dd7d7a94f2 (patch)
tree88d8e21fe8a6342f6b75d963894ee93416289ca7
parentTrac #10519: partial revert of commit 137f3c and follow-up ticket (diff)
Trac #10519: remove "Nothing" input/output blocks
-rw-r--r--src/sage/rings/asymptotic/asymptotics_multivariate_generating_functions.py112
1 files changed, 0 insertions, 112 deletions
diff --git a/src/sage/rings/asymptotic/asymptotics_multivariate_generating_functions.py b/src/sage/rings/asymptotic/asymptotics_multivariate_generating_functions.py
index 3f94def..1926012 100644
--- a/src/sage/rings/asymptotic/asymptotics_multivariate_generating_functions.py
+++ b/src/sage/rings/asymptotic/asymptotics_multivariate_generating_functions.py
@@ -389,10 +389,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
r"""
Return the numerator of ``self``.
- INPUT:
-
- Nothing.
-
OUTPUT:
The numerator.
@@ -416,10 +412,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
r"""
Return the denominator of ``self``.
- INPUT:
-
- Nothing.
-
OUTPUT:
The denominator (i.e., the product of the factored denominator).
@@ -473,10 +465,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
Return the factorization in ``self.denominator_ring`` of the denominator of
``self`` but without the unit part.
- INPUT:
-
- Nothing.
-
OUTPUT:
The factored denominator as a list of tuple ``(f, m)``, where `f` is
@@ -502,10 +490,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
r"""
Return the ring of the denominator.
- INPUT:
-
- Nothing.
-
OUTPUT:
A ring.
@@ -535,10 +519,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
r"""
Return the ring of the numerator.
- INPUT:
-
- Nothing.
-
OUTPUT:
A ring.
@@ -567,10 +547,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
r"""
Return the number of indeterminates of ``self.denominator_ring``.
- INPUT:
-
- Nothing.
-
OUTPUT:
An integer.
@@ -599,10 +575,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
r"""
Convert ``self`` into a quotient.
- INPUT:
-
- Nothing.
-
OUTPUT:
An element.
@@ -629,10 +601,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
r"""
Return a string representation of ``self``.
- INPUT:
-
- Nothing.
-
OUTPUT:
A string.
@@ -825,10 +793,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
Return the usual univariate partial fraction decomposition
if this element.
- INPUT:
-
- Nothing.
-
OUTPUT:
An instance of :class:`FractionWithFactoredDenominatorSum`.
@@ -976,10 +940,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
r"""
Return a Nullstellensatz certificate of ``self`` if it exists.
- INPUT:
-
- Nothing.
-
OUTPUT:
A list of polynomials or ``None``.
@@ -1025,10 +985,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
r"""
Return a Nullstellensatz decomposition of ``self``.
- INPUT:
-
- Nothing.
-
OUTPUT:
An instance of :class:`FractionWithFactoredDenominatorSum`.
@@ -1114,10 +1070,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
r"""
Return the algebraic dependence certificate of ``self``.
- INPUT:
-
- Nothing.
-
OUTPUT:
An ideal.
@@ -1218,10 +1170,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
r"""
Return an algebraic dependence decomposition of ``self``.
- INPUT:
-
- Nothing.
-
OUTPUT:
An instance of :class:`FractionWithFactoredDenominatorSum`.
@@ -1340,10 +1288,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
r"""
Return a Leinartas decomposition of ``self``.
- INPUT:
-
- Nothing.
-
OUTPUT:
An instance of :class:`FractionWithFactoredDenominatorSum`.
@@ -1478,10 +1422,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
r"""
Return the cohomology decomposition of ``self``.
- INPUT:
-
- Nothing.
-
OUTPUT:
An instance of :class:`FractionWithFactoredDenominatorSum`.
@@ -2900,10 +2840,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
r"""
Return the singular ideal of ``self``.
- INPUT:
-
- Nothing.
-
OUTPUT:
An ideal.
@@ -2940,10 +2876,6 @@ class FractionWithFactoredDenominator(sage.structure.element.RingElement):
r"""
Return the smooth critical ideal of ``self``.
- INPUT:
-
- Nothing.
-
OUTPUT:
An ideal.
@@ -3336,10 +3268,6 @@ class FractionWithFactoredDenominatorRing(
- ``category`` -- (default: ``None``) the category.
- OUTPUT:
-
- Nothing.
-
TESTS::
sage: from sage.rings.asymptotic.asymptotics_multivariate_generating_functions import FractionWithFactoredDenominatorRing
@@ -3369,10 +3297,6 @@ class FractionWithFactoredDenominatorRing(
r"""
Returns a representation.
- INPUT:
-
- Nothing.
-
OUTPUT:
A string.
@@ -3393,10 +3317,6 @@ class FractionWithFactoredDenominatorRing(
r"""
Returns the base ring.
- INPUT:
-
- Nothing.
-
OUTPUT:
A ring.
@@ -3645,10 +3565,6 @@ class FractionWithFactoredDenominatorRing(
r"""
Returns an element.
- INPUT:
-
- Nothing.
-
OUTPUT:
An element.
@@ -4318,10 +4234,6 @@ class FractionWithFactoredDenominatorSum(list):
r"""
Return a string representation of ``self``.
- INPUT:
-
- Nothing.
-
OUTPUT:
A string.
@@ -4343,10 +4255,6 @@ class FractionWithFactoredDenominatorSum(list):
r"""
Return ``True`` if ``self`` is equal to ``other``.
- INPUT:
-
- Nothing.
-
OUTPUT:
A boolean.
@@ -4372,10 +4280,6 @@ class FractionWithFactoredDenominatorSum(list):
r"""
Return ``True`` if ``self`` is not equal to ``other``.
- INPUT:
-
- Nothing.
-
OUTPUT:
A boolean.
@@ -4402,10 +4306,6 @@ class FractionWithFactoredDenominatorSum(list):
r"""
Return the polynomial ring of the denominators of ``self``.
- INPUT:
-
- Nothing.
-
OUTPUT:
A ring or ``None`` if the list is empty.
@@ -4435,10 +4335,6 @@ class FractionWithFactoredDenominatorSum(list):
of a (possibly zero) polynomial
followed by reduced rational expressions.
- INPUT:
-
- Nothing.
-
OUTPUT:
An instance of :class:`FractionWithFactoredDenominatorSum`.
@@ -4497,10 +4393,6 @@ class FractionWithFactoredDenominatorSum(list):
Combine terms in ``self`` with the same denominator.
Only useful for multivariate decompositions.
- INPUT:
-
- Nothing.
-
OUTPUT:
An instance of :class:`FractionWithFactoredDenominatorSum`.
@@ -4556,10 +4448,6 @@ class FractionWithFactoredDenominatorSum(list):
r"""
Return the sum of the elements in ``self``.
- INPUT:
-
- Nothing.
-
OUTPUT:
An instance of :class:`FractionWithFactoredDenominator`.