Home       Trees       Indices       Help   
PyGeometry
Package geometry :: Package manifolds :: Module euclidean :: Class Euclidean
[hide private]
[frames] | no frames]

Class Euclidean

source code

This is the usual Euclidean space of finite dimension; this is mostly used for debugging.

There is no proper Haar measure; as an arbitrary choice, the :py:func:`sample_uniform` returns a sample from a Gaussian distribution centered at 0.

Nested Classes [hide private]

Inherited from differentiable_manifold.DifferentiableManifold: Embedding, Isomorphism, __metaclass__

Instance Methods [hide private]
 
__init__(self, dimension)
Note dimension is the intrinsic dimension.		 source code
 
__repr__(self)
repr(x)		 source code
 
belongs(self, x)
:param x: :type x: ``array``		 source code
 
interesting_points(self)
Returns a list of "interesting points" on this manifold that should be used for testing various properties.		 source code
 
project(self, x)
Projects a vector onto this Lie Algebra.		 source code
 
sample_uniform(self) source code

Inherited from matrix_linear_space.MatrixLinearSpace: belongs_ts, distance, expmap, logmap, norm, project_ts, zero

Inherited from differentiable_manifold.DifferentiableManifold: assert_close, can_convert_to, can_represent, convert_to, embed_in, embeddable_in, friendly, from_yaml, geodesic, get_dimension, project_from, project_to, relations_descriptions, tangent_bundle, to_yaml

Inherited from object: __delattr__, __format__, __getattribute__, __hash__, __new__, __reduce__, __reduce_ex__, __setattr__, __sizeof__, __str__, __subclasshook__

Static Methods [hide private]

Inherited from differentiable_manifold.DifferentiableManifold: embedding, isomorphism

Class Variables [hide private]
  __abstractmethods__ = frozenset([])
  _abc_cache = <_weakrefset.WeakSet object at 0x2492790>

Inherited from differentiable_manifold.DifferentiableManifold (private): _abc_negative_cache, _abc_negative_cache_version, _abc_registry

Properties [hide private]

Inherited from object: __class__

Method Details [hide private]

__init__(self, dimension)
(Constructor)

source code 

Note dimension is the intrinsic dimension.

:param dimension: :type dimension: ``int,>0``

Overrides: object.__init__
(inherited documentation)

__repr__(self)
(Representation operator)

source code 

repr(x)

Overrides: object.__repr__
(inherited documentation)

belongs(self, x)

source code 

:param x: :type x: ``array``

Overrides: differentiable_manifold.DifferentiableManifold.belongs

interesting_points(self)

source code  

           Returns a list of "interesting points" on this manifold that
           should be used for testing various properties. 
       


:rtype:  ``list(belongs)``
Overrides: differentiable_manifold.DifferentiableManifold.interesting_points
(inherited documentation)

project(self, x)

source code 

Projects a vector onto this Lie Algebra.

Overrides: matrix_linear_space.MatrixLinearSpace.project
(inherited documentation)

   Home       Trees       Indices       Help   
PyGeometry
Generated by Epydoc 3.0.1 on Wed Feb 22 20:39:22 2012 http://epydoc.sourceforge.net