Changes

Directory:Jon Awbrey/Essays/Prospects For Inquiry Driven Systems (view source)

23 bytes added , 14:22, 22 January 2008

Line 757: Line 757:

Discuss variation in portrayal of ''v'' in d''f''(''u'', ''v''):

−

# as ordinary vector in second component of product space '''B'''''n'' × '''B'''''n'',

+

* as ordinary vector in second component of product space '''B'''''n'' × '''B'''''n'',

−

# as tangent vector map : ('''B'''''n'' → '''B''') → '''B''', dual to '''B'''''n'' ?

+

−

# as tangent vector map : ('''D'''''n'' → '''B''') → '''B''', dual to '''D'''''n'' ?

+

* as tangent vector map : ('''B'''''n'' → '''B''') → '''B''', dual to '''B'''''n'' ?

+

* as tangent vector map : ('''D'''''n'' → '''B''') → '''B''', dual to '''D'''''n'' ?

Discuss differential as map : T(''U'') = ''U''T → '''B'''.

12,080

edits