Package sage :: Package rings :: Module sparse_poly :: Class Polynomial
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Type Polynomial

object --+
         |
        Polynomial

Known Subclasses:
Polynomial_rational

Method Summary
  __init__(...)
x.__init__(...) initializes x; see x.__class__.__doc__ for signature
  __add__(x, y)
x.__add__(y) <==> x+y
  __call__(x, ...)
x.__call__(...) <==> x(...)
  __cmp__(x, y)
x.__cmp__(y) <==> cmp(x,y)
  __delitem__(x, y)
x.__delitem__(y) <==> del x[y]
  __div__(x, y)
x.__div__(y) <==> x/y
  __floordiv__(x, y)
x.__floordiv__(y) <==> x//y
  __getitem__(x, y)
x.__getitem__(y) <==> x[y]
  __getslice__(x, i, j)
Use of negative indices is not supported.
  __hash__(x)
x.__hash__() <==> hash(x)
  __int__(x)
x.__int__() <==> int(x)
  __long__(x)
x.__long__() <==> long(x)
  __mod__(x, y)
x.__mod__(y) <==> x%y
  __mul__(x, y)
x.__mul__(y) <==> x*y
  __neg__(x)
x.__neg__() <==> -x
  __new__(T, S, ...)
T.__new__(S, ...) -> a new object with type S, a subtype of T
  __pos__(x)
x.__pos__() <==> +x
  __pow__(x, y, z)
x.__pow__(y[, z]) <==> pow(x, y[, z])
  __radd__(x, y)
x.__radd__(y) <==> y+x
  __rdiv__(x, y)
x.__rdiv__(y) <==> y/x
  __repr__(x)
x.__repr__() <==> repr(x)
  __rfloordiv__(x, y)
x.__rfloordiv__(y) <==> y//x
  __rmod__(x, y)
x.__rmod__(y) <==> y%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
  base_ring(...)
  copy(...)
  degree(...)
  derivative(...)
  factor(...)
  gcd(...)
  is_irreducible(...)
  is_zero(...)
  leading_coefficient(...)
  randomize(...)
  resultant(...)
  reverse(...)
  valuation(...)
  variable(...)
  xgcd(...)
    Inherited from object
  __delattr__(...)
x.__delattr__('name') <==> del x.name
  __getattribute__(...)
x.__getattribute__('name') <==> x.name
  __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

__call__(x, ...)
(Call operator)

x.__call__(...) <==> x(...)
Returns:
x(...)

__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]

__div__(x, y)

x.__div__(y) <==> x/y
Returns:
x/y

__floordiv__(x, y)

x.__floordiv__(y) <==> x//y
Returns:
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]

__hash__(x)
(Hashing function)

x.__hash__() <==> hash(x)
Returns:
hash(x)
Overrides:
__builtin__.object.__hash__

__int__(x)

x.__int__() <==> int(x)
Returns:
int(x)

__long__(x)

x.__long__() <==> long(x)
Returns:
long(x)

__mod__(x, y)

x.__mod__(y) <==> x%y
Returns:
x%y

__mul__(x, y)

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

__neg__(x)

x.__neg__() <==> -x
Returns:
-x

__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__

__pos__(x)

x.__pos__() <==> +x
Returns:
+x

__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

__rdiv__(x, y)

x.__rdiv__(y) <==> y/x
Returns:
y/x

__repr__(x)
(Representation operator)

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

__rfloordiv__(x, y)

x.__rfloordiv__(y) <==> y//x
Returns:
y//x

__rmod__(x, y)

x.__rmod__(y) <==> y%x
Returns:
y%x

__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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