2016-04-14-100709.ipynb

Kernel: Python 2 (SageMath)

print 2;

2

print 1+1;

2

2

2

1+1

2

def f(x):
    sin(x)**2 + 1;
    return

from math import sin;

maximize(f);

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-19-b71dd3df78ff> in <module>()
----> 1 maximize(f);

NameError: name 'maximize' is not defined

del f;

f(x) = 1 - sin(x)^2

  File "<ipython-input-23-cd433e38adab>", line 1
    f(x) = 1 - sin(x)^2
SyntaxError: can't assign to function call

f = function(x);

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-24-e19911738c5b> in <module>()
----> 1 f = function(x);

NameError: name 'function' is not defined

import calculus

---------------------------------------------------------------------------
ImportError                               Traceback (most recent call last)
<ipython-input-25-91c65807c23d> in <module>()
----> 1 import calculus

ImportError: No module named calculus

del f

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-26-34928ba69c5e> in <module>()
----> 1 del f

NameError: name 'f' is not defined

f = 1 + sin(x)^2

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-27-61655278761c> in <module>()
----> 1 f = 1 + sin(x)^2

NameError: name 'x' is not defined

var('x')

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-28-adc764569ee0> in <module>()
----> 1 var('x')

NameError: name 'var' is not defined

import numpy

var('x')

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-30-adc764569ee0> in <module>()
----> 1 var('x')

NameError: name 'var' is not defined

import sage/calculus

  File "<ipython-input-31-ce9c895ab30a>", line 1
    import sage/calculus
               ^
SyntaxError: invalid syntax

import calculus

---------------------------------------------------------------------------
ImportError                               Traceback (most recent call last)
<ipython-input-32-91c65807c23d> in <module>()
----> 1 import calculus

ImportError: No module named calculus

import sage.calculus

Setting permissions of DOT_SAGE directory so only you can read and write it.

---------------------------------------------------------------------------
ImportError                               Traceback (most recent call last)
<ipython-input-33-6588b53cc896> in <module>()
----> 1 import sage.calculus

/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/calculus/__init__.py in <module>()
----> 1 import all

/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/calculus/all.py in <module>()
----> 1 from calculus import maxima as maxima_calculus
      2 from calculus import (laplace, inverse_laplace,
      3                       limit, lim)
      4 
      5 from functional import (diff, derivative,
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/calculus/calculus.py in <module>()
    398 
    399 import re
--> 400 from sage.rings.all import RR, Integer, CC, QQ, RealDoubleElement, algdep
    401 from sage.rings.real_mpfr import create_RealNumber
    402 
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/rings/all.py in <module>()
     33 
     34 # Ideals
---> 35 from ideal import Ideal
     36 ideal = Ideal
     37 
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/rings/ideal.py in <module>()
     34 import commutative_ring
     35 from sage.structure.element import MonoidElement
---> 36 from sage.interfaces.singular import singular as singular_default
     37 import sage.rings.infinity
     38 from sage.structure.sequence import Sequence
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/interfaces/singular.py in <module>()
    330 from sage.structure.element import RingElement
    331 
--> 332 import sage.rings.integer
    333 
    334 from sage.misc.misc import get_verbose
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/rings/rational.pxd in init sage.rings.integer (/projects/sage/sage-6.10/src/build/cythonized/sage/rings/integer.c:46715)()
      6 cpdef rational_power_parts(a, b, factor_limit=?)
      7 
----> 8 cdef class Rational(sage.structure.element.FieldElement):
      9     cdef mpq_t value
     10 
sage/rings/rational.pyx in init sage.rings.rational (/projects/sage/sage-6.10/src/build/cythonized/sage/rings/rational.c:34765)()
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/rings/rational_field.py in <module>()
     53 import rational
     54 import integer
---> 55 import infinity
     56 ZZ = None
     57 
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/rings/infinity.py in <module>()
    214 import sage.rings.rational
    215 
--> 216 from sage.rings.integer_ring import ZZ
    217 
    218 _obj = {}
sage/rings/integer_ring.pyx in init sage.rings.integer_ring (/projects/sage/sage-6.10/src/build/cythonized/sage/rings/integer_ring.c:14184)()
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/structure/factorization.py in <module>()
    187 from sage.structure.sequence import Sequence
    188 from sage.rings.integer import Integer
--> 189 from sage.misc.all import prod
    190 from sage.misc.cachefunc import cached_method
    191 
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/misc/all.py in <module>()
     86 from func_persist import func_persist
     87 
---> 88 from functional import (additive_order,
     89                         base_ring,
     90                         base_field,
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/misc/functional.py in <module>()
     28 
     29 
---> 30 from sage.rings.complex_double import CDF
     31 from sage.rings.real_double import RDF, RealDoubleElement
     32 
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/rings/real_double.pxd in init sage.rings.complex_double (/projects/sage/sage-6.10/src/build/cythonized/sage/rings/complex_double.c:22676)()
      6     double NAN
      7 
----> 8 cdef class RealDoubleField_class(Field):
      9     cdef _new_c(self, double value)
     10 
sage/rings/real_double.pyx in init sage.rings.real_double (/projects/sage/sage-6.10/src/build/cythonized/sage/rings/real_double.c:25086)()
ImportError: cannot import name ZZ

var('x')

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-34-adc764569ee0> in <module>()
----> 1 var('x')

NameError: name 'var' is not defined

sage.calculus.var.clear_vars()

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-36-4809e9b8ff43> in <module>()
----> 1 sage.calculus.var.clear_vars()

NameError: name 'sage' is not defined

expand((x+2)^2)

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-39-b8e962907c80> in <module>()
----> 1 expand((x+2)^2)

NameError: name 'expand' is not defined

import sage.symbolic

from sage.symbolic import *

from sage.calculus import *

---------------------------------------------------------------------------
ImportError                               Traceback (most recent call last)
<ipython-input-41-e4f9b6c5f1cd> in <module>()
----> 1 from sage.calculus import *

/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/calculus/__init__.py in <module>()
----> 1 import all

/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/calculus/all.py in <module>()
----> 1 from calculus import maxima as maxima_calculus
      2 from calculus import (laplace, inverse_laplace,
      3                       limit, lim)
      4 
      5 from functional import (diff, derivative,
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/calculus/calculus.py in <module>()
    398 
    399 import re
--> 400 from sage.rings.all import RR, Integer, CC, QQ, RealDoubleElement, algdep
    401 from sage.rings.real_mpfr import create_RealNumber
    402 
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/rings/all.py in <module>()
     33 
     34 # Ideals
---> 35 from ideal import Ideal
     36 ideal = Ideal
     37 
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/rings/ideal.py in <module>()
     35 from sage.structure.element import MonoidElement
     36 from sage.interfaces.singular import singular as singular_default
---> 37 import sage.rings.infinity
     38 from sage.structure.sequence import Sequence
     39 
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/rings/infinity.py in <module>()
    214 import sage.rings.rational
    215 
--> 216 from sage.rings.integer_ring import ZZ
    217 
    218 _obj = {}
ImportError: cannot import name ZZ

i

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-42-372e25f23b5a> in <module>()
----> 1 i

NameError: name 'i' is not defined

e

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-43-9ffbf43126e3> in <module>()
----> 1 e

NameError: name 'e' is not defined

E

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-44-787c9a8e2148> in <module>()
----> 1 E

NameError: name 'E' is not defined

var('x')

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-45-adc764569ee0> in <module>()
----> 1 var('x')

NameError: name 'var' is not defined

sage.calculus.calculus

---------------------------------------------------------------------------
AttributeError                            Traceback (most recent call last)
<ipython-input-48-937cdb0c1b42> in <module>()
----> 1 sage.calculus.calculus

AttributeError: 'module' object has no attribute 'calculus'

x^2

type(x)

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-49-c6ec0f91e335> in <module>()
----> 1 type(x)

NameError: name 'x' is not defined

import sage.calculus.var

---------------------------------------------------------------------------
ImportError                               Traceback (most recent call last)
<ipython-input-50-652ff6475421> in <module>()
----> 1 import sage.calculus.var

/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/calculus/__init__.py in <module>()
----> 1 import all

/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/calculus/all.py in <module>()
----> 1 from calculus import maxima as maxima_calculus
      2 from calculus import (laplace, inverse_laplace,
      3                       limit, lim)
      4 
      5 from functional import (diff, derivative,
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/calculus/calculus.py in <module>()
    398 
    399 import re
--> 400 from sage.rings.all import RR, Integer, CC, QQ, RealDoubleElement, algdep
    401 from sage.rings.real_mpfr import create_RealNumber
    402 
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/rings/all.py in <module>()
     33 
     34 # Ideals
---> 35 from ideal import Ideal
     36 ideal = Ideal
     37 
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/rings/ideal.py in <module>()
     35 from sage.structure.element import MonoidElement
     36 from sage.interfaces.singular import singular as singular_default
---> 37 import sage.rings.infinity
     38 from sage.structure.sequence import Sequence
     39 
/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/rings/infinity.py in <module>()
    214 import sage.rings.rational
    215 
--> 216 from sage.rings.integer_ring import ZZ
    217 
    218 _obj = {}
ImportError: cannot import name ZZ

I

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-51-32f8e0bb6944> in <module>()
----> 1 I

NameError: name 'I' is not defined

var('x')

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-52-adc764569ee0> in <module>()
----> 1 var('x')

NameError: name 'var' is not defined

clear_vars()

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-53-6d68973cd1bc> in <module>()
----> 1 clear_vars()

NameError: name 'clear_vars' is not defined

%var x

f = x^2

diff(f)

f

diff(f(x),x)

import symbolic

import symbolic.symbolic

import symbolic.symbolic.symbolic

import symbolic.symbolic.symbolic.symbolic

clear_vars()