This doc defines the theoretical nature of an NSpace and Sparse NSpace implementation.



NSpace 

	Definition:
  		- N-Dimensional Space representation
  		- NSpace is set of Dimensions
  		- Dimension is a set of Positions
  		- Each dimension is named
  		- Each co-ordinate is specified using names not numbers
  		  IOW: Domain of each dim. is specified as a set of names
  		- Number of dimensions can change throughout lifecycle
  		- Dimensions are not ordered in a Space. 
  		- Positions are not ordered in a Dimension
  		- value at fully-qualified-coordinate is of type Object
  		
 
	Operations
 		- When looking up co-ordinate - specify dimension + position
 		- 2 kinds of search (lookup and extract)
 
	Questions:
		- can an NSpace hold an (NSpace)value  


Dimension

	Definition

SparseNSpace 

	Characteristics:
  	
 
 		
	Questions 		
 		
Example:

	lookup()
		Given a 5Space
		specify 3 ordinates in lookup
		Get a 5Space (3 dims have size of 1)
		
	extractSlice()
		Given a 5Space
		specify 3 ordinates in lookup
		Get a 2Space 
		
	getDimensions()
		returns a set of Dimensions
		
	getDimension(String name)
		returns a set of Positions
		
	space.addDimension(Dimension dimension, String origin)
		all the points in the current system have to know of new dim.