Differences between revisions 3 and 4

Sage 4.0.1 Release Tour

Sage 4.0.1 was released on FIXME. For the official, comprehensive release note, please refer to FIXME. 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

Factoring rational functions (Soroosh Yazdani) -- New method factor() in the class FractionFieldElement of sage/rings/fraction_field_element.pyx to return the factorization of self over the base ring. Here's an example for working with this new method:
```
sage: K.<x> = QQ["x"]
sage: f = (x^3 + x) / (x-3)
sage: f.factor()
(x - 3)^-1 * x * (x^2 + 1)
```

Faster basis_matrix() for ambient modules (John Cremona) -- The speed-up can be up to 376x faster than previously. The following timing statistics were obtained using the machine sage.math:

# BEFORE

sage: K = FreeModule(ZZ, 2000)
sage: %time I = K.basis_matrix()
CPU times: user 292.74 s, sys: 20.11 s, total: 312.85 s
Wall time: 312.90 s


# AFTER

sage: K = FreeModule(ZZ, 2000)
sage: %time I = K.basis_matrix()
CPU times: user 0.41 s, sys: 0.43 s, total: 0.84 s
Wall time: 0.83 s

FIXME: summarize #6081
FIXME: summarize #6043

Algebraic Geometry

FIXME: summarize #5948

Basic Arithmetic

FIXME: summarize #5732

Calculus

FIXME: summarize #5404

Combinatorics

FIXME: summarize #6000
FIXME: summarize #6167
FIXME: summarize #6093
FIXME: summarize #6050
FIXME: summarize #5931
FIXME: summarize #5925

Commutative Algebra

FIXME: summarize #6120

Geometry

Graph Theory

Graphics

FIXME: summarize #6184
FIXME: summarize #5599

Group Theory

Interfaces

FIXME: summarize #6208

Linear Algebra

Miscellaneous

FIXME: summarize #5967
FIXME: summarize #5483
FIXME: summarize #6139

Modular Forms

FIXME: summarize #5995

Notebook

FIXME: summarize #4575
FIXME: summarize #5895

Number Theory

FIXME: summarize #133
FIXME: summarize #6021
FIXME: summarize #6206

Numerical

FIXME: summarize #5827

Packages

FIXME: summarize #5840
FIXME: summarize #6173
FIXME: summarize #5817
FIXME: summarize #6156
FIXME: summarize #6169
FIXME: summarize #6209
FIXME: summarize #6219

-  ⇤ ← Revision 3 as of 2009-06-05 18:00:23 → 
  Size: 1898
  Editor: Minh Nguyen
  Comment: More reminders to showcase features
+   ← Revision 4 as of 2009-06-05 19:44:32 → ⇥
  Size: 2753
  Editor: Minh Nguyen
  Comment: Summarize #6016, #3699
-Deletions are marked like this.
+Additions are marked like this.
 Line 13:
- * FIXME: summarize #6016
+ * Factoring rational functions (Soroosh Yazdani) -- New method {{{factor()}}} in the class {{{FractionFieldElement}}} of {{{sage/rings/fraction_field_element.pyx}}} to return the factorization of self over the base ring. Here's an example for working with this new method:
 {{{
sage: K.<x> = QQ["x"]
sage: f = (x^3 + x) / (x-3)
sage: f.factor()
(x - 3)^-1 * x * (x^2 + 1)
 }}}
-Line 15:
+Line 21:
- * FIXME: summarize #3699
+ * Faster {{{basis_matrix()}}} for ambient modules (John Cremona) -- The speed-up can be up to 376x faster than previously. The following timing statistics were obtained using the machine sage.math:
 {{{
# BEFORE

sage: K = FreeModule(ZZ, 2000)
sage: %time I = K.basis_matrix()
CPU times: user 292.74 s, sys: 20.11 s, total: 312.85 s
Wall time: 312.90 s


# AFTER

sage: K = FreeModule(ZZ, 2000)
sage: %time I = K.basis_matrix()
CPU times: user 0.41 s, sys: 0.43 s, total: 0.84 s
Wall time: 0.83 s
 }}}

Diff for "ReleaseTours/sage-4.0.1"