Sage 4.0 Release Tour

Sage 4.0 was released on FIXME. For the official, comprehensive release note, please refer to sage-4.0.txt. A nicely formatted version of this release tour can be found at FIXME. The following points are some of the foci of this release:

Algebra

• Deprecate the order() method on elements of rings (John Palmieri) -- The method order() of the class sage.structure.element.RingElement is now deprecated and will be removed in a future release. For additive or multiplicative order, use the additive_order or multiplicative_order method respectively.

• FIXME: summarize #6052

Algebraic Geometry

• Various invariants for genus 2 hyperelliptic curves (Nick Alexander) -- The following invariants for genus 2 hyperelliptic curves are implemented in the module sage/schemes/hyperelliptic_curves/hyperelliptic_g2_generic.py:

  • the Clebsch invariants
  • the Igusa-Clebsch invariants
  • the absolute Igusa invariants

Basic Arithmetic

• FIXME: summarize #6036
• FIXME: summarize #6080

Build

Calculus

Coercion

Combinatorics

• FIXME: summarize #5502
• FIXME: summarize #5586

Commutative Algebra

• FIXME: summarize #5576
• FIXME: summarize #5609
• FIXME: summarize #5566

Distribution

Doctest

Documentation

Geometry

Graph Theory

• Graph colouring (Robert Miller) -- New method coloring() of the class sage.graphs.graph.Graph for obtaining the first (optimal) coloring found on a graph. Here are some examples on using this new method:

  sage: G = Graph("Fooba")
  sage: P = G.coloring()
  sage: G.plot(partition=P)
  sage: H = G.coloring(hex_colors=True)
  sage: G.plot(vertex_colors=H)

• FIXME: summarize #6066
• FIXME: summarize #3932
• FIXME: summarize #5940
• FIXME: summarize #6086

Graphics

• FIXME: summarize #5249

Group Theory

• FIXME: summarize #5664
• FIXME: summarize #5844

Interfaces

• Viewing Sage objects with a PDF viewer (Nicolas Thiery) -- Implements the option viewer="pdf" for the command view() so that one can invoke this command in the form view(object, viewer="pdf") in order to view object using a PDF viewer. Typical uses of this new optional argument include:

  • You prefer to use a PDF viewer rather than a DVI viewer.
  • You want to view LaTeX snippets which are not displayed well in DVI viewers (e.g. graphics produced using tikzpicture).

• Change name of Pari's sum function when imported (Craig Citro) -- When Pari's sum function is imported, it is renamed to pari_sum in order to avoid conflict Python's sum function.

Linear Algebra

• FIXME: summarize #5974
• FIXME: summarize #5557
• FIXME: summarize #5381
• FIXME: summarize #5554

Miscellaneous

• Allow use of pdflatex instead of latex (John Palmieri) -- One can now use pdflatex instead of latex in two different ways:

  • Use a %pdflatex cell in a notebook; or

  • Call latex.pdflatex(True)

  after which any use of latex (in a %latex cell or using the view command) will use pdflatex. One visually appealing aspect of this is that if you have the most recent version of pgf installed, as well as the tkz-graph package, you can produce images like the following:

• FIXME: summarize #5783

Modular Forms

• FIXME: summarize #4337
• FIXME: summarize #4357
• FIXME: summarize #5262
• FIXME: summarize #5792
• FIXME: summarize #5796
• FIXME: summarize #6019
• FIXME: summarize #5924

Notebook

Number Theory

• FIXME: summarize #5250
• FIXME: summarize #6013
• FIXME: summarize #6008
• FIXME: summarize #6004
• FIXME: summarize #6059
• FIXME: summarize #6064

Numerical

Packages

• FIXME: summarize #4223
• FIXME: summarize #6031
• FIXME: summarize #5934
• FIXME: summarize #1338
• FIXME: summarize #6032
• FIXME: summarize #6024

P-adics

• FIXME: summarize #5105
• FIXME: summarize #5236

Quadratic Forms

• FIXME: summarize #6037

Symbolics

Topology

• Random simplicial complexes (John Palmieri) -- New method RandomComplex() in the module sage/homology/examples.py for producing a random d-dimensional simplicial complex on n vertices. Here's an example:

  sage: simplicial_complexes.RandomComplex(6,12)
  Simplicial complex with vertex set (0, 1, 2, 3, 4, 5, 6, 7) and facets {(0, 1, 2, 3, 4, 5, 6, 7)}

User Interface

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