Marcelo Forets mforets

## dict2xml.py
r"""Convert Python dictionaries into XML.

AUTHORS:

    - Marcelo Forets

EXAMPLES:

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

## residues.md

      
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                 residue calculus: exploring (non-commercial) complex variable features available through SageMath
              
          
    sage: z = SR.var('z', domain='complex')
sage: k = SR.var('k', domain='integer')
sage: giac('assume(k, integer)')  # for Giac PExpect interface


## gitignore
## System specifics
*.DS_Store

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

## julia.py
r"""
Interface to Julia interpreter.

Julia is a high-level, high-performance dynamic programming language for
numerical computing, see the official website <JuliaLang https://julialang.org/>_
for installation and further information.

The commands in this section only work if you have "julia" installed and
available in your PATH. It's not necessary to install any special Sage packages.

## benchs_chbv.md

      
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              October 27, 2017 09:50
            
              
                Benchmark of chbv.jl implementations
              
          
    see PR #16 in Expokit.jl.
data

the different implementations were tested on a fixed set of 8 hermitian negative semidefinite matrices
the were randomly generated. the MAT file is available here.
the functions to generate the matrices were:


## integrals.md

      
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                / integrals.md
            
            
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              April 19, 2018 15:45
            
              
                a bunch of integrals: exploring (non-commercial) symbolic integrators available through SageMath
              
          
    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

  
## gist:b3c841f974f3d8325b6608511a2513fc

      
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                / gist:b3c841f974f3d8325b6608511a2513fc
            
            
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              November 10, 2018 21:21
            
              
                giTips
              
          
    How to checkout a branch from a fork

$ git ls-remote --refs origin
0b3fd8db7f46c08920ba2071e1fd54ab3d8b156b        refs/heads/binder_no_glpk
122b696148bd24d0dbfa8c74067d51c4dd480831        refs/heads/gh-pages
...
92042c569369aa88179354cf62561fba169141c6        refs/pull/610/head
585743f6c5ba7456bc4b08026f14cbd4dfa84527        refs/pull/610/merge
67426ec1375627f7c2e28d9767301383b67173ba refs/tags/v1.4.0


## expm_bench.md

      
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                expmv and expv benchs
              
          
    julia> versioninfo()
Julia Version 0.7.0
Commit a4cb80f3ed (2018-08-08 06:46 UTC)
Platform Info:
  OS: macOS (x86_64-apple-darwin14.5.0)
  CPU: Intel(R) Core(TM) i7-4770HQ CPU @ 2.20GHz
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-6.0.0 (ORCJIT, haswell)

  
## bibliography.bib
@inproceedings{ARCH18:nonlinear,
  author    = {Fabian Immler and Matthias Althoff and Xin Chen and Chuchu Fan and Goran Frehse and Niklas Kochdumper and Yangge Li and Sayan Mitra and Mahendra Singh Tomar and Majid Zamani},
  title     = {ARCH-COMP18 Category Report: Continuous and Hybrid Systems with Nonlinear Dynamics},
  booktitle = {ARCH18},
  @volume    = {54},
  pages     = {53--70},
  year      = {2018},
  @publisher = {EasyChair},
  @url       = {https://easychair.org/publications/paper/gjfh},
  @doi       = {10.29007/mskf}

## intersectionCPA.md

      
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              February 4, 2019 16:24
            
              
                intersection of CPA and unbdd set
              
          
    function intersection(X::CartesianProductArray{N},
                      Y::AbstractPolyhedron{N}) where {N}

    # preallocate the resulting CartesianProductArray with size hint
    result = CartesianProductArray(length(X), N)

    if isbounded(Y)
        # no free variables
 free_variables = []
	r"""Convert Python dictionaries into XML.

	AUTHORS:

	- Marcelo Forets

	EXAMPLES:

	python: d = list()
	python: d.append({'id':1, 'text':'foo'})
	## System specifics
	*.DS_Store

	## Core latex/pdflatex auxiliary files:
	*.aux
	*.lof
	*.log
	*.lot
	*.fls
	*.out
	r"""
	Interface to Julia interpreter.

	Julia is a high-level, high-performance dynamic programming language for
	numerical computing, see the official website <JuliaLang https://julialang.org/>_
	for installation and further information.

	The commands in this section only work if you have "julia" installed and
	available in your PATH. It's not necessary to install any special Sage packages.
	@inproceedings{ARCH18:nonlinear,
	author = {Fabian Immler and Matthias Althoff and Xin Chen and Chuchu Fan and Goran Frehse and Niklas Kochdumper and Yangge Li and Sayan Mitra and Mahendra Singh Tomar and Majid Zamani},
	title = {ARCH-COMP18 Category Report: Continuous and Hybrid Systems with Nonlinear Dynamics},
	booktitle = {ARCH18},
	@volume = {54},
	pages = {53--70},
	year = {2018},
	@publisher = {EasyChair},
	@url = {https://easychair.org/publications/paper/gjfh},
	@doi = {10.29007/mskf}