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* 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 |
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* FIXME: summarize #5732 == Calculus == * FIXME: summarize #5404 |
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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
P-adics
Quadratic Forms
Symbolics
- FIXME: summarize #6144
- FIXME: summarize #6194
Topology
- FIXME: summarize #6141