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Revision as of 03:26, 14 May 2013
, 03:26, 14 May 2013→Incidental Note 12: center figure
===Incidental Note 12===
===Incidental Note 12===
I think that we have fairly well convinced ourselves — at least, I am reasonably sure that some of us have — that every function can be factored into an "onto" followed by a "one-to-one" mapping, as shown here:
I think that we have fairly well convinced ourselves — at least, I am reasonably sure that some of us have — that every function can be factored into an "onto" followed by a "one-to-one" mapping, as shown here:
{| align="center" cellspacing="6" style="text-align:center; width:70%"
|
<font face="courier new"><pre>
<font face="courier new"><pre>
o-------------------o-------------------o-------------------o
o-------------------o-------------------o-------------------o
o-----------------------------------------------------------o
o-----------------------------------------------------------o
</pre></font>
</pre></font>
|}
So patent is the pending of Damocles' Razor on our modern incre-mentalities that we would scarcely dare to think of it this way without a little bit of prodding, but it is possible to treat this functional fractionation process as a case of transmuting a 2-adic relation f c X x Y into a 3-adic relation L c X x M x Y.
So patent is the pending of Damocles' Razor on our modern incre-mentalities that we would scarcely dare to think of it this way without a little bit of prodding, but it is possible to treat this functional fractionation process as a case of transmuting a 2-adic relation f c X x Y into a 3-adic relation L c X x M x Y.
