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== New printing for intervals and QQbar elements == Carl Witty Sage 3.1.1 introduces a new way to print intervals and QQbar elements: {{{ sage: QQbar(sqrt(2)) 1.414213562373095? }}} The question mark syntax indicates that the real value is within 1.414213562373094 and 1.414213562373096 (that the last digit could vary by up to plus or minus one). For QQbar elements, Sage knows the real value and uses that value in calculations. |
Sage 3.1 and 3.1.1 Release Tour
Sage 3.1.1 was released on August 17th, 2008. For the official, comprehensive release notes, see the HISTORY.txt file that comes with the release. For the latest changes see sage-3.1.1.txt.
New Coercion Infrastructure
Robert Bradshaw, David Roe: new coercion model
Graph and Plotting Improvements
Arnaud Bergeron, Jason Grout, Robert Miller, Franco Saliola
- (Robert Miller, Franco Saliola) Automatic plotting of trees and posets.
Major Update to Root Systems
Dan Bump, Nicolas Thiery, Nicolas Borie, Mike Hansen
Steenrod Algebra Calculations
John Palmieri
Notebook improvements
Timothy Clemans
Free Modules Revision
David Kohel
Multimodular Algorithm for Bernoulli Numbers
David Harvey
Partition Refinement
Robert Miller
- Generalized the existing algorithms for graphs and binary codes, rewrote algorithm to be substantially more legible and maintainable.
Integral Point Finding for Elliptic Curves over Q
Tobias Nagel, Michael Mardaus, John Cremona
- Integral points on elliptic curves over Q: done, in 3.1.1
- S-integral points on elliptic curves over Q: in progress
New sage_input Function
Carl Witty
New printing for intervals and QQbar elements
Carl Witty
Sage 3.1.1 introduces a new way to print intervals and QQbar elements:
sage: QQbar(sqrt(2)) 1.414213562373095?
The question mark syntax indicates that the real value is within 1.414213562373094 and 1.414213562373096 (that the last digit could vary by up to plus or minus one). For QQbar elements, Sage knows the real value and uses that value in calculations.