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Directory:Jon Awbrey/Essays/Prospects For Inquiry Driven Systems
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Revision as of 14:18, 22 January 2008
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===Logical Tangent Vectors===
===Logical Tangent Vectors===
−
Discuss variation in portrayal of v in
df
(u,v):
+
Discuss variation in portrayal of
''
v
''
in
d''f''
(
''
u
''
,
''
v
''
):
−
(1)
as ordinary vector in second component of product space
Bn x Bn
,
+
#
as ordinary vector in second component of product space
'''B'''<sup>''n''</sup> × '''B'''<sup>''n''</sup>,
+
# as tangent vector map : ('''B'''<sup>''n''</sup> → '''B''') → '''B''', dual to '''B'''<sup>''n''</sup> ?
+
# as tangent vector map : ('''D'''<sup>''n''</sup> → '''B''') → '''B'''
,
dual to '''D'''<sup>''n''</sup> ?
−
(2) as tangent vector map: (Bn -> B) -> B, dual to Bn?
+
Discuss differential as map : T(
''
U
''
) =
''U''T → '''
B
'''
.
−
−
(3) as tangent vector map: (Dn -> B) -> B, dual to Dn?
−
−
Discuss differential as map: T(U) =
UT ->
B.
Analogies between Real and Boolean Spaces
Analogies between Real and Boolean Spaces
Jon Awbrey
12,080
edits