Package sage :: Module all
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Module sage.all

nodoctest
all.py -- much of sage is imported into this module, so you don't
          have to import everything individually.  This is what
          is imported by IPython when sage starts.

Function Summary
  arg(x)
  base_field(x)
  base_ring(x)
  basis(x)
  charpoly(x)
  CS(x)
  decomposition(x)
  det(x)
  ES(x)
  exp(x)
  factor(x)
  gens(x)
  hecke_operator(x, n)
  imag(x)
  image(x)
  j_invariant(x)
  kernel(x)
  log(x, b)
The log of x to the base b.
  NCMS(n, k, sign)
  ngens(x)
  norm(x)
  NS(x)
  order(x)
  OS(x)
  parent(x)
  pr(x)
  rank(x)
  real(x)
  rprint(x)
  show_identifiers()
Returns a list of the names of non-hidden (i.e., not starting with an underscore) identifiers defined by the user in this session.
  sqrt(x)

Variable Summary
ComplexField C = Complex Field
list iglob = ['polygen', 'QuaternionAlgebraWithDiscs', 'rando...
RationalField Q = Rational Field
RealField_mpf R = Multi-precision Real Field
IntegerRing Z = Integer Ring

Function Details

log(x, b=None)

The log of x to the base b.  The default base is e.

INPUT:
    x -- number
    b -- base (default: None, which means natural log)
OUTPUT:
    number

WARNING: In MAGMA, the order of arguments is reversed, so the
base is given first.   We use the opposite ordering, so the
base can be viewed as an optional second argument.

show_identifiers()

Returns a list of the names of non-hidden (i.e., not starting with an underscore) identifiers defined by the user in this session. These are the identifiers saved by the save command.

Variable Details

C

Type:
ComplexField
Value:
Complex Field                                                          

iglob

Type:
list
Value:
['polygen',
 'QuaternionAlgebraWithDiscs',
 'random',
 'sage',
 'VectorSpace',
 'PariRing',
 'rational_reconstruction',
 'Rational',
...                                                                    

Q

Type:
RationalField
Value:
Rational Field                                                         

R

Type:
RealField_mpf
Value:
Multi-precision Real Field                                             

Z

Type:
IntegerRing
Value:
Integer Ring                                                           

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