Package sage :: Package rings :: Module polynomial_pyx :: Class Polynomial_rational
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Type Polynomial_rational

object --+
         |
        Polynomial_rational


Polynomial_rational():

Create the zero polynomial over the rational numbers.
Method Summary
  __init__(...)
x.__init__(...) initializes x; see x.__class__.__doc__ for signature
  __add__(x, y)
x.__add__(y) <==> x+y
  __cmp__(x, y)
x.__cmp__(y) <==> cmp(x,y)
  __delitem__(x, y)
x.__delitem__(y) <==> del x[y]
  __getitem__(x, y)
x.__getitem__(y) <==> x[y]
  __getslice__(x, i, j)
Use of negative indices is not supported.
  __mul__(x, y)
x.__mul__(y) <==> x*y
  __new__(T, S, ...)
T.__new__(S, ...) -> a new object with type S, a subtype of T
  __pow__(x, y, z)
x.__pow__(y[, z]) <==> pow(x, y[, z])
  __radd__(x, y)
x.__radd__(y) <==> y+x
  __repr__(x)
x.__repr__() <==> repr(x)
  __rmul__(x, y)
x.__rmul__(y) <==> y*x
  __rpow__(y, x, z)
y.__rpow__(x[, z]) <==> pow(x, y[, z])
  __rsub__(x, y)
x.__rsub__(y) <==> y-x
  __setitem__(x, i, y)
x.__setitem__(i, y) <==> x[i]=y
  __sub__(x, y)
x.__sub__(y) <==> x-y
  copy(...)
  degree(...)
  is_zero(...)
  list(...)
  set_from_list(...)
    Inherited from object
  __delattr__(...)
x.__delattr__('name') <==> del x.name
  __getattribute__(...)
x.__getattribute__('name') <==> x.name
  __hash__(x)
x.__hash__() <==> hash(x)
  __reduce__(...)
helper for pickle
  __reduce_ex__(...)
helper for pickle
  __setattr__(...)
x.__setattr__('name', value) <==> x.name = value
  __str__(x)
x.__str__() <==> str(x)

Method Details

__init__(...)
(Constructor)

x.__init__(...) initializes x; see x.__class__.__doc__ for signature
Overrides:
__builtin__.object.__init__

__add__(x, y)
(Addition operator)

x.__add__(y) <==> x+y
Returns:
x+y

__cmp__(x, y)
(Comparison operator)

x.__cmp__(y) <==> cmp(x,y)
Returns:
cmp(x,y)

__delitem__(x, y)
(Index deletion operator)

x.__delitem__(y) <==> del x[y]
Returns:
del x[y]

__getitem__(x, y)
(Indexing operator)

x.__getitem__(y) <==> x[y]
Returns:
x[y]

__getslice__(x, i, j)
(Slicling operator)

Use of negative indices is not supported.
Returns:
x[i:j]

__mul__(x, y)

x.__mul__(y) <==> x*y
Returns:
x*y

__new__(T, S, ...)

T.__new__(S, ...) -> a new object with type S, a subtype of T
Returns:
a new object with type S, a subtype of T
Overrides:
__builtin__.object.__new__

__pow__(x, y, z=...)

x.__pow__(y[, z]) <==> pow(x, y[, z])
Returns:
pow(x, y[, z])

__radd__(x, y)
(Right-side addition operator)

x.__radd__(y) <==> y+x
Returns:
y+x

__repr__(x)
(Representation operator)

x.__repr__() <==> repr(x)
Returns:
repr(x)
Overrides:
__builtin__.object.__repr__

__rmul__(x, y)

x.__rmul__(y) <==> y*x
Returns:
y*x

__rpow__(y, x, z=...)

y.__rpow__(x[, z]) <==> pow(x, y[, z])
Returns:
pow(x, y[, z])

__rsub__(x, y)

x.__rsub__(y) <==> y-x
Returns:
y-x

__setitem__(x, i, y)
(Index assignment operator)

x.__setitem__(i, y) <==> x[i]=y
Returns:
x[i]=y

__sub__(x, y)
(Subtraction operator)

x.__sub__(y) <==> x-y
Returns:
x-y

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