Ticket #9054: trac_9054_reference.patch

File trac_9054_reference.patch, 4.7 KB (added by saraedum, 6 years ago)

fixes in the reference manual

  • new file doc/en/reference/function_fields.rst

    exporting patch:
    # HG changeset patch
    # User Julian Rueth <julian.rueth@gmail.com>
    Trac 9054: fixes in the reference manual
    
    diff --git a/doc/en/reference/function_fields.rst b/doc/en/reference/function_fields.rst
    new file mode 100644
    index 0000000..945b824
    - +  
     1Algebraic Function Fields
     2=========================
     3
     4.. toctree::
     5   :maxdepth: 2
     6
     7   sage/rings/function_field/function_field
     8   sage/rings/function_field/function_field_element
     9   sage/rings/function_field/function_field_order
     10   sage/rings/function_field/function_field_ideal
     11   sage/rings/function_field/maps
     12   sage/rings/function_field/constructor
  • sage/rings/function_field/constructor.py

    diff --git a/sage/rings/function_field/constructor.py b/sage/rings/function_field/constructor.py
    index 49738f1..1b98025 100644
    a b  
    11r"""
    2 Factories to construct Function Fields.
     2Factories to construct Function Fields
    33
    44AUTHORS:
    55
  • sage/rings/function_field/function_field.py

    diff --git a/sage/rings/function_field/function_field.py b/sage/rings/function_field/function_field.py
    index f77f86c..7cf9a0e 100644
    a b  
    11r"""
    2 Function fields
     2Function Fields
    33
    44AUTHORS:
    55
  • sage/rings/function_field/function_field_element.pyx

    diff --git a/sage/rings/function_field/function_field_element.pyx b/sage/rings/function_field/function_field_element.pyx
    index 1972aa6..2d950a7 100644
    a b  
     1r"""
     2Function Field Elements
     3
     4AUTHORS:
     5
     6- William Stein: initial version
     7
     8- Robert Bradshaw (2010-05-27): cythonize function field elements
     9
     10- Julian Rueth (2011-06-28): treat zero correctly
     11
     12- Maarten Derickx (2011-09-11): added doctests, fixed pickling
     13"""
     14#*****************************************************************************
     15#       Copyright (C) 2010 William Stein <wstein@gmail.com>
     16#       Copyright (C) 2010 Robert Bradshaw <robertwb@math.washington.edu>
     17#       Copyright (C) 2011 Julian Rueth <julian.rueth@gmail.com>
     18#       Copyright (C) 2011 Maarten Derickx <m.derickx.student@gmail.com>
     19#
     20#  Distributed under the terms of the GNU General Public License (GPL)
     21#  as published by the Free Software Foundation; either version 2 of
     22#  the License, or (at your option) any later version.
     23#                  http://www.gnu.org/licenses/
     24#*****************************************************************************
     25
    126include "../../ext/stdsage.pxi"
    227
    328from sage.structure.element cimport FieldElement, RingElement, ModuleElement, Element
  • sage/rings/function_field/function_field_ideal.py

    diff --git a/sage/rings/function_field/function_field_ideal.py b/sage/rings/function_field/function_field_ideal.py
    index a9f16e2..01c13ba 100644
    a b  
    11r"""
    2 Ideals in Function Fields.
     2Ideals in Function Fields
    33
    44AUTHORS:
    55
    class FunctionFieldIdeal_module(FunctionFieldIdeal): 
    6969    A fractional ideal specified by a finitely generated module over
    7070    the integers of the base field.
    7171
    72     EXAMPLES::
     72    EXAMPLES:
    7373
    7474    An ideal in an extension of a rational function field::
    7575
  • sage/rings/function_field/function_field_order.py

    diff --git a/sage/rings/function_field/function_field_order.py b/sage/rings/function_field/function_field_order.py
    index f646bed..f872e49 100644
    a b  
    11r"""
    2 Orders in Function Fields.
     2Orders in Function Fields
    33
    44AUTHORS:
    55
    class FunctionFieldOrder(IntegralDomain): 
    4949    """
    5050    def __init__(self, fraction_field):
    5151        """
    52         INPUT::
     52        INPUT:
    5353
    5454            - ``fraction_field`` -- the function field in which this iss an order.
    5555
    class FunctionFieldOrder(IntegralDomain): 
    128128            - ``gens`` -- list of elements that are a basis for the
    129129              ideal over the maximal order of the base field
    130130           
    131         EXAMPLES::
     131        EXAMPLES:
    132132
    133133        We construct an ideal in a rational function field::
    134134       
  • sage/rings/function_field/maps.py

    diff --git a/sage/rings/function_field/maps.py b/sage/rings/function_field/maps.py
    index 5b09b47..f927176 100644
    a b  
    11r"""
    2 Function field morphisms.
     2Function Field Morphisms
    33
    44AUTHORS:
    55
    class MapVectorSpaceToFunctionField(FunctionFieldIsomorphism): 
    9494    r"""
    9595    An isomorphism from a vector space to a function field.
    9696   
    97     EXAMPLES:
     97    EXAMPLES::
    9898
    9999        sage: K.<x> = FunctionField(QQ); R.<y> = K[]
    100100        sage: L.<y> = K.extension(y^2 - x*y + 4*x^3)