mforets

## System specifics
*.DS_Store

## Core latex/pdflatex auxiliary files:
*.aux
*.lof
*.log
*.lot
*.fls
*.out

mforets

This is a plotting cheatsheet for SageMath open-source mathematics software system.

Contents

• Basic Plot
• Regions
• Vector Fields
• Plotting Geometrical Figures
Plotting in the Complex Plane

mforets

sage: z = SR.var('z', domain='complex')
sage: k = SR.var('k', domain='integer')

sage: giac('assume(k, integer)')  # for Giac PExpect interface

mforets

t/17469

sage: integrate(exp(-x)*sinh(sqrt(x)), x, 0, oo, algorithm='maxima').simplify() # ok
1/4*(sqrt(pi)*(erf(1) - 1) + sqrt(pi) + 2*e^(-1) - 2)*e^(1/4) - 1/4*(sqrt(pi)*(erf(1) - 1) - sqrt(pi) + 2*e^(-1) - 2)*e^(1/4)
sage: _.canonicalize_radical()
1/2*sqrt(pi)*e^(1/4)
sage: integrate(exp(-x)*sinh(sqrt(x)), x, 0, oo, algorithm='giac').simplify() # ok, fast
1/2*sqrt(pi)*e^(1/4)
sage: integrate(exp(-x)*sinh(sqrt(x)), x, 0, oo, algorithm='sympy') # ok, fast, reduced

mforets

r"""Convert Python dictionaries into XML.

AUTHORS:

    - Marcelo Forets

EXAMPLES:

python: d = list()
python: d.append({'id':1, 'text':'foo'})