09/18/2010, 11:33 AM
related is (amongst others)
conjecture
sup continuum product (sin(x) + 5/4) * inf continuum product (sin(x) + 5/4) = 1.
( i havent checked numerically for this specific function , but the general idea is clear )
question
sin(x) + 5/4 is the continuum product of ... ?
in general inverse continuum sum seems an intresting natural question ...
conditional continuum products also come to my mind :
if sin(x) >= 0 f(x) = continuum prod ( sin(x) + 5/4 )
if sin(x) < 0 g(x) = continuum prod ( sin(x) + 5/4 )
and i wonder about things like e.g.
lim f(x) ^ 1/x = sup continuum prod ( sin(x) + 5/4)
anyway you get the idea that this is not finished ...
conjecture
sup continuum product (sin(x) + 5/4) * inf continuum product (sin(x) + 5/4) = 1.
( i havent checked numerically for this specific function , but the general idea is clear )
question
sin(x) + 5/4 is the continuum product of ... ?
in general inverse continuum sum seems an intresting natural question ...
conditional continuum products also come to my mind :
if sin(x) >= 0 f(x) = continuum prod ( sin(x) + 5/4 )
if sin(x) < 0 g(x) = continuum prod ( sin(x) + 5/4 )
and i wonder about things like e.g.
lim f(x) ^ 1/x = sup continuum prod ( sin(x) + 5/4)
anyway you get the idea that this is not finished ...

